Problems on Age 1. The age of prakash and priya are in the ratio of 5:7 sixteen year s ago their ages were in the ratio of 3:5 the present age of prakash is a) 30 yrs
b) 35 yrs
c) 40 yrs
d) 45 yrs
2. The ratio of ages of Jack and sill is 4:3 the product their age s in 432 what will be the ratio of their ages after 18 years? a) 7:6
b) 6:7
c) 7:8
d)8:7
3. Reshma is 40 years old and monish 60 year s old how many years ago was the ratio of their ages 3:5? a) 10 yrs
b) 20 yrs
c) 37 yrs
d) 5 yrs
4. If 1 ½ years is added to 3/7 age of saga, he will be half of his age, what is his actual age? a) 20 yrs
b) 21 yrs
c) 5 yrs
d)18 yrs
5. He was x years old six years ago how old shall he be right years hence? a) X-2
b) x+14
c) x+6
x+2
6. The product of the ages of ankit nikiten is 240. It twice the the age of nikita is more than t han ankit’s age by 4 years. What is nikita’s age? a) 12 yrs
b) 13 yrs
c) 14 yrs
d) 15 yrs
7. The ages of two persons differ by 16 years it 6 years ago, the edder me is 3 time as old as the younger one, find the age of younger me a) 14 yrs
b) 30 yrs
c) 15 yrs
d) 18 yrs
8. It 6 years subtracted from the present age of gogan and the remainder is divided by 18, than the present age of his grandson anup is obtained. If anup is 2 years younger to madan whose age is 5 years, than what is Gogan’s present pre sent age? a) 48 yrs
b) 60 yrs
c) 84 yrs
d) 96 yrs
9. Mother’s age today is thrice as her daughter’s after 10 years year s it would be just double. How much old in the daughter today? a) 5 yrs
b) 8 yrs
c) 10 yrs
d) 12 yrs
10. A father says to his son, I was as old as you are at present while you were born, it the present age of father is 36 ye ars, than find the age of son, five ye ars ago. a) 15 yrs
b) 20 yrs
c) 13 yrs
d) 18 yrs
11. The total age of A & B is 12 years more than the total age of B & C. C is how many years younger than A? a) 12 yrs
b) 24 yrs
c) C in elder than
d) data inadequate
12. 10 yrs ago, a father was 4 times as old as his son, afte r 20 yrs, he will be twice as old as his son. Find the son’s age. a) 20 yrs
b) 22 yrs
c) 25 yrs
d) 28 yrs
13. A person was asked to state his his age an years. His reply was. w as. ”Take my age 3 years hence multiply it by 3 & then subtract 3 times my age 3 years ago & you will know how old I am”. What was the age of the person? a) 18 yrs
b) 20 yrs
c) 25 yrs
d) 32 yrs
14. Ayesha’s father was 38 years of age a ge when she was born while her mother was 36 years old when her brother 4 years younger to are was born. What is the difference blue the ages of her parents? a) 2 yrs
b) 4 yrs
c) 6 yrs
d) 8 yrs
th
15. Sneha’s age is 1/6 of her father’s age. Sneha’s father’s age will be twice twice of vimal’s eighth b’day was celebrated 2 years before, before, then what is sneha ‘s present age? a) 6 2/3 yrs
b) 24 yrs
c) 30 yrs
d) none
16. The sum of the ages of 5 children born at the intervals of 3 year s each is 50 yrs. What is the age of the youngest child? a) 4 yrs
b) 8 yrs
c) 10 yrs
d) none
17. Q is as much younger than R as he is older than T. it the sum of the ages or R & T is 50 yrs, what is defiritely blue R & Q’s age? a) 1 yr
b) 2 yrs
c) 25 yrs
d) data inadequate
18. The sum of the present present ages of a father & his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years Son’ age will be a) 12 Yers
b) 14 Yrs
c) 18 Yrs
d) 20 Yrs
19. Tanya’s Grandfatehr was 8 time elder to her 16 years ago. He would be 3 times of of her age 8 years from now. Eight years ago. What was the ratio of Tanya’s age to that of her grandfather? a) 1:2
b) 1:5
c) 3:8
d) none
20. A person’s present age is two-fifth two -fifth of the age of his mother. After 8 years he will be one half of the age of his mother. Then old in the mother at present a) 32 years
b) 36 Years
c) 40 Years
d) 48 Years
21. The Ration b/w the school ages of Neelam & Shaan is 5:6 respectively. If the r atio b/w the one – one – third age of Neelam & half of Shaan’s age is 5:9 then what what is the School age of Shaan? a) 25 Years b) 30 Years c) 36 Years d) Cannot be determined 22. Hitesh is 40 Years old and Ronnie is 60 Years old How many years ago was the ratio of their ages 3:5? a) 5 Years
b) 10 Years
c) 20 Years
d) 37 Years
23. The total of the ages of Jayant, prem & Saran is 93 years. Ten Years ago, the ratio of their ages was 2:3:4 what is the present age of Saran? a) 24 Years
b) 32 Years
c) 34 Years
d) 38 Years
CDC DEPT
Profit, Loss & Discount_ Work Sheet
SRM University
1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x. A. 15 B. 16 C. 18 D. 25 2. If selling price is doubled, the profit triples. What is the profit percent? A. 100 % B. 105 1/3 % C. 66 2/3 % D. 120 % 3. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. What is the gain percentage? A. 44% B. 33.33% C. 30% D. 25% 4. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. What is the cost price of a ball? A. Rs. 43 B. Rs. 60 C. Rs. 55 D. Rs. 34 5. A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage? A. 18% B. 20% C. 25% D. 40% 6. A trader keeps the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is A. 27% B. 17% C. 25% D. 20% 7. The total cost price of two items is 10200/- and their selling price are equal if one of the two items sold at a loss of 12% and another at a loss of 18% then the cost price of the item sold at a loss of 18% is? A. 5100 B. 5280 C. 4920 D. 4329.6 8. A machine is sold at a loss of 10%. Had it been sold at a profit of 15%, it would have fetched Rs. 50 more. The cost price of the machine is. A. Rs. 1000 B. Rs. 500 C. Rs.200 D. Rs.250 9. Goods are purchased for Rs. 450 and one-third is sold at a loss of 10%. At what profit per cent should the remainder be sold so as to gain 20% on the whole transaction? A. 30% B. 35% C. 33.33 % D. 25% 10. A reduction of 10% in the price of sugar enables a man to buy 25 kg more for Rs. 225. What is the original price of sugar (per kilogram)? A. Rs.1 B. Rs. 1.5 C. Rs.0.9 D. Rs.2 11. If a merchant makes a profit of 20% after giving a 20% discount, what should be his mark-up? A. 20% B. 30% C. 40% D. 50% 12. An article is sold at certain price. By selling it at 2/3 of its price one losses 10%, find the gain at original price? A. 20% B. 33.33% C.35% D. 40% 13. A tradesman sold an article at a loss of 20%.if the selling price has been increased by Rs100, there would have been a gain of 5%.what was the cost price of the article? A. 290 B. 350 C.400 D. None of these
CDC DEPT
Profit, Loss & Discount_ Work Sheet
SRM University
14. A man sells an article at a profit of 25%if he had bought it 20% less and sold it for Rs 10.50 less, he would have gained 30%find the cost price of the article. A. 42 B. 57 C.50 D. None of these 15. A man 2 flats for Rs 675958 each on one he gains 16% while on the other he losses 16%. How much does he gain/loss in the whole transaction? A.2.56 % . B. 7.18% C.11.40% D. None of these 16. A man bought a horse and a car ridge for Rs 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse. A. 2000 B. 1500 C. 1300 D.1200 17. Find the single discount equivalent to a series discount of 20%, 10% and 5% A. 42.60 % B. 57.18% C.68.40% D. None of these 18. An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the market price. What is the actual profit on the sales? A.12.50 % B. 27.8% C.26.5% D. None of these 19. A retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit %? A. 6 % B. 77.8% C.11% D. None of these 20. The profit earned after selling an article for Rs 625 is the same as the loss incurred after selling the article for Rs 435. What is the cost price of the article? A. 450 B. 480 C. 500 D. 530 21. By selling 5 articles for Rs.15, a man makes a profit of 20%. Find his gain or loss percentage if he sells 8 articles for Rs.18.4? A. 8% Loss B. 8.33% Loss C. 2.22% Loss D. 2.22% Profit 22. The Printed price of a calculator is Rs.180. A retailer pays Rs.137.7 for it by getting successive discounts of 10% and another rate which is illegible. What is the second discount rate? A. 12% B.15% C.12.5% D. 20% 23. The profit earned when an article is sold for Rs.800 is 20 times the loss incurred when it is sold for Rs.275. At what price should the article be sold if it is desired to make a profit of 25%. A. Rs.300 B. Rs.350 C. Rs.375 Rs.400 24. A sells to B goods at five-thirds the rate of profit at which B has decided to sell it to C. C, on other hand, sells it to D at one-third the rate of profit at which B sold it to C. If D gives Rs.2145 to C at 10% profit, how much did A buy it for?. A. Rs.1000 B. Rs.2000 C. Rs.1500 D. Rs.1800 25. A reduction of 20% in the price of sugar enables a house wife to purchase 6 kg more for Rs. 240 what is the original price per kg of sugar? A. 10 kg B. 15 kg C. 25 kg D.30 kg
PROBABILITY
1. Two dice are thrown simultaneously. Find the probability of obtaining a total score of seven. (a) 1/6
(b)1/36
(c)2/35
(d)1/12
2. What is the probability of getting exac tly three heads while tossing 4 coins at a time? (a)1/6
(b)1/3
(c) 1 / 4
(d)1/12
3. What is the probability of getting at least three heads while tossing 5 coins at a time? (a)1/6
(b)1/3
(c) 1 / 4
(d)1 / 2
4. What is the probability of getting at most three heads while tossing 5 coins? (a)12 /16
(b)13 / 16
(c) 12 / 32
(d)14 / 26
5. What is the probability of getting doublets while throwing 2 dice simultaneously? (a)1/6
(b)1/3
(c) 1 / 4
(d)1 / 2
6. What is the probability that a number selected from 1 , 2, 3….25 is a prime number? (a)7/29
(b)9/25
(c)8/25
(d)1/25
7. Find the probability of getting heads in all four trials when a coin is tossed four times. (a)1/16
(b)1/32
(c)1/64
(d)1/8
8. Two fair dice are thrown. Find the probability of getting a sum which is a prime number < 8? (a) 11/13
(b) 13/36
(c) 1/13
(d) ¼
9. When a pair of fair dice is rolled once, what is the probability that both dice do not show up a 6? (a) 25/36
(b) 35/36
(c) 11/36
(d) 1/6
10. An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and t he last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, w hat is the probability that four shots aimed at an enemy aircraft will bring the aircraft down? (a) 0.036
(b) 0.934
(c) 0.964.
(d) 0.042
11. A speaks truth in 75% and B in 80% of the cases. In what percentages of cases are they likely to contradict each other narrating the same incident? (a) 25%
(b) 65%
(c) 35%
(d) 50%
12. From a pack of 52 playing cards, four cards are drawn at random. Find the probability of drawing all the four cards of the same suit. (a) 13C4 / 52C4 (b) 4 * (13C4 / 52C4) (c) 4C4 / 52C4 (d) None of these st
nd
13. If two cards are drawn at random what is the probability that the 1 is a king and the 2 belongs to heart? (a) 1/52
b) 2/13
c) 4/51
d) None of these
14. A box contains 20 electric bulbs out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is: (a) 4 / 19
(b) 7 / 19
(c) 12 / 19
(d) 10 / 21
15. A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1 / 7) and the probability of wife’s selection is (1 / 5). What is the probability that only one of them is selected? (a) 4 / 5
(b) 2 / 7
(c) 8 /15
(d) 4 / 7
ASSIGNMENT SHEET 16. The probability that A can solve the problem is 2/3 and B can solve t he problem is ¾.if both of them attempt the problem, then what is t he probability that the problem gets solved. (a) 1/2
(b) 17/12
(c) 1/4
(d) 11/12
17. Two dice are tossed. The probability that the total score is a prime number is: (a) 1 / 6
(b) 5 / 12
(c) 1 / 2
(d) 7 / 9
18. A drawer contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one of the items is chosen at random, the probability that it is rusted or a bolt is (a) 5/8
(b) ½
(c) 3/8
(d) 1/8
19. A card is chosen from a well shuffled pack of 52 cards. What is the probability that the card chosen is a spade number? (a) ¼
(b) 2/13
(c)5/26
(d) 1/26
20. Two cards are drawn from a pack of cards in succession (with re placement). Find the probability that both are king. (a)1/144
(b)1/169
(c)1/171
(d)1/2
21. The probability of a student possessing a Hi-Tech point pen is 3/ 5 and that of possessing a ball point pen is 2/3. Find the probability that a student can have at least one type of pen. (a) 3/5
(b) 2/5
(c) 13/15
(d) 1/15
22. When 3 coins are tossed together what is the probability of getting exactly 2 tails? (a) 3/8
(b) 8/9
(c) 2/3
(d) None of these
23. If A speaks the truth 80 % of the times and B speaks the truth 60 % of the times. What is the probability that both speak the truth at the same time? (a) 0.8
(b) 0.48
(c) 0.6
(d) 0.14
24. The probability that a computer company will get a computer hardware contract is 2/3, and the probability that it will not get a software contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that it will get both the contracts? (a) 21 / 45
(b) 8 / 27
(c) 14 / 45
(d) 32 / 135
25. Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. The probability that the ticket has a number which is a multiple of 3 or 7 is (a) 1/5
(b) 2/5
(c) 3/5
(d) 4/5
PERCENTAGES
1. Which of the following is the largest number . a)20%of 200 b)7% of 500 c)1300% of 3
d) 600% of 7
e)700% of 9
2. If we express 41(3/17)% as a fraction then it is equal to. a)17/7 b)7/17 c)12/17
d)3/17
e)27/17
3. ‘A’ sells his goods 25% cheaper than ‘B ‘and 25% dearer than ‘C’. How much percentage is C’s goods cheaper B”s a)33.33% b) 50% c)66.66% d)40% e)none 4. The length, breadth and height of a room in the shape of a cuboid are increased by 10% ,20% and 50% respectively. Find the percentage change in the volume of the cuboid. a) 77% b) 75% c)88% d) 98% e)99% 5. 50% of a% of b is 75% of b% of c .Which of the following is c a) 1.5a b) 0.667a c) 0.5a d) 1.25a
e) 1.66a
6. ‘A’ spend 20% of his monthly income on his household expenditure, 15% of the rest on books , 30% of the rest on clothes and save the rest. On counting, he comes to know that he has finally saved 9520 RS . Find his monthly income a) 10000 b) 15000 c) 20000 d) 12000 e) none 7. A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to his mistake a) 96% b) 95% c) 2400% d) 200% e) none 8. In an election between 2 candidates, ‘A’ gets 65% of the total valid votes. If the total votes were 6000, What is The number of valid votes that the other candidate gets if 25% of the total votes were declared invalid a) 1625 b) 1575 c) 1675 d) 1525 e) none
9. Mr. ‘X’ is worried about the balance of his monthly budget. The price of petrol has increased by 40% . By What percent should he reduce the consumption of petrol so that he is able to balance his budget. a) 33.33 b) 28.56 c) 25 d) 14.28 e) none 10. After receiving two successive raises, A’s salary became equal to 15/8 times of his initial salary. By how much Percent was the salary raised the first time if the second raise was twice as high (in percent) as the first. a) 15% b) 20% c) 25% d) 30% e) 33.33% 11. The minimum quantity of milk in liters (in the whole number ) that should be mixed in a mixture of 60 litres in which the initial ratio of milk to water is 1:4 so that the resulting mixture has 15% milk is . a) 3 b) 4 c) 5 d) 6 e ) this is not possible 12. A fraction is such that if double of the numerator and triple of the denominator is changed by +10% And -30%respectively than we get 11% of 16/21. Find the fraction. a) 4/25 b) 2/25 c) 3/25 d) none
13. In a town the population of males decreased by 25% from the 2001 to 2002. The population of the females formed 44(4/9)% of the population in 2002 , what percentage of the population in 2001 were males. a)50% b) 66 2/3% c) 80% d) 75% 14. A salesman is appointed on the basic salary of 1200 per month and the condition that for every sales of 10000 above 10000, he will get 50% of basic salary and 10% of sales as a reward . this incentive scheme Does not for first 10000 of sales. What should be the value of sales if he wants to earn 7600 in a particular Month a) 60,000 b) 50,000 c) 40,000 e) none 15. Due to a 25% hike in the price of the rice per kg a person is able to purchase 20kg less for 400 Rs. Find the increased price of rice per kg. a) 5 b) 6 c) 10 d) 4 16. Of the adult population in Hyderabad, 45% of men and 25% of women are married. What percentage of the total population of adult is married (assume that no men married more than one woman and vice versa). a) 33.33% b) 32.14% c) 31.1% d) none 17. The population of village is 1,00,000. Increased rate per annul is 10%. Find the population at the starting of The fourth year. a) 1,33,100 b) 1,21,000 c)1,333,00 d) none 18. An ore contains 25% of an alloy that has 90% iron. Other than this ,in the remaining 75% of the ore ,there is no Iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron. a) 250kg b) 275kg c) 300kg d)266.66 kg 19. After three successive equal percentage rise in the salary the sum of 100 rupees turned in to 140 rupees 49Paisa. Find the percent Raise in the salary. a) 12% b) 22% c) 66% d) 82% e)77% 20. The hourly wages of a labor are increased by 12.5% , where as the weekly working hours are reduced by 8%.Find the percentage change in weekly wages if she was getting 1200 Rs per week for 50 hours previously . a) 3.5% b) 4% c) 4.5% d)none
21. A’s monthly salary is A rupees. Of this ,he spends X rupees .The next month he has an increment of C% in his salary and D% in his expenditure .The new amount saved is . a) A(1+C/100)-X(1+D/100) b) (A/100)(C-(D)X(1+D/100) c) X(C-(D)/100 d) X(C+D)-/100 22. A clock is set right at 12 noon on Monday . it loses 1.2% on the correct time in the first week but gains ¼% on The true time during the second week . The time show on Monday after two weeks will be . a) 12:25:12 b) 11:34:48 c)12:50:24 d)12:24:16 e) none
23. In the test question were asked in five section .Out of the total student, 5% candidates are cleared the cut-off in the all section and 5% cleared none. Of the rest, 25% cleared only one section and 20% cleared four sections if 24.5% of the entire candidates cleared two section and 300candidates cleared three sections .Find how many candidates appeared at the test. A) 1000 B) 1200 C)1500 D) 2000 E)1800 24. Anand cut a rectangular piece of paper twice. With the first cut , he decreased its area by 40%.With the second cut he decreased its area by 50%. Its final area was 30 sq cm less than its area after the first cut. Find its original area A) 120 b) 100 c) 90 d)80 25. A new coach was appointed in the middle of a season for football team. After he took over, the team won 80% of the 60 matches it played. But the overall performed of the team was only 60%. Find the minimum number of matches the team must have played that season before the new coach took over. a) 10 b) 15 c) 20 d) 80 26. A student secured 38% of the total marks in an exam and gets 18 marks more than the pass marks. A second student secured 27% of total marks in the same exam and fail by 37 marks. What is the pass mark as a percentage of the total marks. A) 28% b) 32.2% c) 34.4% d) 35% 27. A school has 2000 students, out of which 40% of the students are in higher secondary. Out of the students in higher secondary, 28% are girls and 50% of them passed. The overall pass percentage in the higher secondary is 40%. How many boys passed? a) 208 b) 320 c) 200 d) 96
LOGICAL & ANALYTICAL REASONING 1. Find the odd one from the series (a) 71,7,3,17 (b) 67,71,3,5
(c) 37,14,19,7
(d) 41,5,3,47
2. In a certain code, SUBSTITUTION is written as ITSBUSNOITUT. How is DISTRIBUTION written in that code? (a) IRTSIDNOITUB (b)IRTSIDNOIBUT (c)IRTDISNOITUB (d) IRTDISNOIUTB 3. In a certain code GARIMA is written as 725432 and TINA as 6482. How is MARTINA written in that code? (a) 3256482 (b) 3265842 (c) 3645862 (d) 3658426 4. In a certain code, ‘il be pee’ means ‘roses are blue’, ‘ sik hee’ means’ red flowers’ and ‘pee mit hee’ means ‘ flowers are vegetables’. How is ‘vegetables are red flowers’ written in that code? (a) Sik pee hee be (b) il sik mit hee (c) pee sik mit hee (d) none of these 5. In a certain code language, QUEUE is written as Q22, and CHURCH is written as 1UR1. Which of the following would be most appropriate code for BANANA in that language? (a) BA5A5A (b) 5N5A (c) B55A (d) None of the above 6. If 1. SKI RPS GMO means ‘nice Sunday morning’. 2. STI RPS TRI means ‘every Tuesday morning’. 3. SKI PTR QLM means ‘nice market place’. What would Sunday stand for? (a) SKI (b) GMO (c) TRI
(d) QLM
7. If ‘PAPER’ is 11.20, ‘PENCIL’ is 9.83, what will be the ‘PEN’? (a) 12.80 (b) 10 (c) 13.79 (d) 11.66 8. If ROTARY is coded as 36 and ROTARIAN is coded as 64, how will you code ROTARACT? (a) 64 (b) 26 (c) 72 (d) 36 9. Pointing to a photograph, a woman says, “This man’s son’s sister is my mother-in-law.” How is the woman’s husband related to the man in the photograph? (a) Grandson (b) Son (c) Son-in-law (d) Nephew 10. A party consists of grandmother, father, mother, four sons and their wives and one son and two daughters to each of the sons. How many females are there in all? (a) 16 (b) 14 (c) 24 (d) 18 11. Introducing Puja, Shilpa said, “She is the only daughter of my father’s only daughter”. How is Shilpa related to Puja? (a) Niece (b) Aunt (c)Data inadequate (d) None 12. In a cricket season, India defeated Australia twice, West Indies defeated India twice. Australia defeated West Indies twice, India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost most number of times? (a) India (b) Australia (c) New Zealand (d) West Indies
1
13. I am facing east. I turn 100 degrees in the clockwise direction and then 145 degrees in the anticlockwise direction. Which direction am I facing now? (a) East (b) North-East (c) North (d) South-West 14. ‘A’ walks 10 m in front and 10 m to the right. Then every time turning to his left he walks 5,10,15 m respectively. How far is he now from the starting point? (a)5 m (b) 10 m (c) 15 m (d) 20 m 15. Find the odd one out in the series 100,50, 33 1/3, 22,20 (a)50 (b) 33 1/3 (c) 22 (d) 20 16. Two ladies and two men are playing cards and are seated at North, East, South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. Which directions are the ladies facing? (a) East & West (b) South & East © North & East (d) North & West 17. Starting from a point P, Sachin walked 20 m towards South. He turned left and walked 30 m. He then turned left and walked 20m. He again turned left and walked 40m and reached a point Q. How far and in which direction is the point Q from the point P? (a) 20 m west (b) 10 m east © 10 m west (d) 10 m north 18. If Atul finds that he is twelfth from the right in a line of boys and fourth from the left, how many boys should be added to the line such that there are 28 boys in the line? (a) 12 (b) 13 (c) 14 (d) 20 19. A bus for Delhi leaves every thirty minutes from a bus stand. An enquiry clerk told a passenger that the bus already left ten minutes ago and the next bus will leave at 9.35 a.m. At what time did the enquiry clerk give the information to the passenger? (a) 9.10 am (b) 9.05 a.m (c) 9.15 a.m (d) 8.55 a.m 20. Find the missing number in the series 1,8,9,64,25,?,49 (a)210 (b) 212 (c) 214
(d) 216
21. Find the odd one out in the series 121, 169, 289,529.625,841 (a)121 (b) 289 (c) 625 (d) 841 22. Find the next term in the series A1C, B2E, C3G,-----(a)D4G (b) D4H (c) D4I (d) D4J 23. Find the next term in the series ACEGI, BDFHJ,KMOQS,--------,VXZBD (a)TUVWX (b) LPRTV (c) LNPRT (d) PQRTV 24. If D is taller than C but not as tall as B and C is taller than A, Who among A,B,C and D is tallest? (a)A (b) B (c) C (d) D 25. After travelling 8 km, I turned right and travelled 3 km, then turned right and travelled a distance of 2 km and now I am moving towards west. In what direction did I start my journey? (a) North (b) South (c) East (d) West Direction for Q No 26 to 30: Two or more essences out of a stock of five essences-- L, M, N, O, and P are used in making all perfumes by a manufacturer. He has learned that for a blend of essences to be agreeable it should comply with all the rules listed below.
2
• A perfume containing L, should also contain the essence N, and the quantity of N should be twice as that of L. • A perfume containing M must also have O as one of its components and they should be in equal proportion. • A single perfume should never contain N as well as O. • O and P should not be used together. A perfume containing the essence P should contain P in such a proportion that the total amount of P present should be greater than the total amount of the other essence or essences used. 26. Among the following which is an agreeable formula for a perfume? (a) One part L, one part P (b) Two parts M, two parts L (c) Three parts N, three parts L (d) Four parts O, four parts M (e) Five parts P, five parts M 27. Adding more amount of essence N will make which of the following perfumes agreeable? (a) One part L, one part N, five parts P (b) Two parts M, two parts N, two parts P (c) One part M, one part N, one part P (d) Two parts M, one part N, four parts P (e) Two parts N, one part O, three parts P 28. Among the following, the addition of which combination would make an unagreeable perfume containing two parts N and one part P agreeable? (a) One part L (b) One part M (c) Two parts N (d) One part O (e) Two parts P 29. Among the following which combination cannot be used together in an agreeable perfume containing two or more essences? (a) L and M (b) L and N (c) L and P (d) M and O (e) P and N 30. Among the below mentioned formulas, which can be made agreeable by the eliminating some or all of one essence? (a) One part L, one part M, one part N, four parts P (b) One part L, two parts N, one part O, four parts P © One part L, one part M, one part O, one part P (d) Two parts L, two parts N, one part O, two parts P (e) Two parts M, one part N, two parts O, three parts P Directions for Q 31 to 35: There are three on-off switches on a control panel A, B, and C. They have to be changed from an initial setting to a second setting according to the following conditions: In case only switch A is the switch on in the initial setting, then turn on switch B. In case switches A and B are the only switches on in the initial setting, then turn on switch C. In case all the three switches are on initially setting, then turn off the switch C. For any other initial setting, turn on all switches that are off and turn off all switches, if any, that are on. 31. In case in the initial setting is the switch A and B are on and the switch C is off, then what could be the second setting? (a) A on, B on, C on. (b) A on, B off, C on. (c) A on, B off, C off. (d) A off, B on, C off. (e) A off, B off, C on. 32. In case switch B is the only switch on in the initial setting, what must be the second setting? (a) A on, B on, C on (b) A on, B on, C off (c)A on, B off, C on (d)A off, B off, C on (e)A off, B off, C off. 33. In case all the three switches are on in the second setting, which among the following could have been the initial setting? (a) A on, B on, C on (b) A on, B on, C off (c)A on, B off, C on (d)A on, B off, C off (e) A off, B on, C off 3
34. In case switch A is off in the second setting, which among the following could have been the initial setting? (a)A on, B on, C on (b) A on, B on, C off (c) A on, B off, C on (d)A on, B off, C off (e) A off, B on, C off. 35. In case only switch B is on in the second setting, which among the following could have been the initial setting? (a) A on, B on, C on (b) A on, B off, C on (c)A off, B on, C off (d) A off, B off, C on (e) A off, B off, C off. Direction for Q.No 36 to 42: Five educational films A, B, C, D, & E are to be shown to a group of students. The films are to be shown in a particular order, which conforms to the following conditions: A must be shown earlier than C. B must be shown earlier than D. E should be the fifth film shown. 36.Which among the following is an acceptable order for showing the educational films ? (a)A, C, B, D, E (b)A, C, D, E, B (c)B, D, C, A, E (d)B, D, E, A, C 37. In case C is shown earlier than E, which among the following will hold true ? (a)A is the first film shown. (b)B is the second film shown. (c)C is the third film shown. (d)D is the fifth film shown. 38. In case D is to be shown earlier than A, then for which among the following is there exactly one position from first through fifth in which it can be scheduled to be shown ? (a)A (b)B (c)C (d)D 39. Which among the following is a pair of films that CANNOT both be shown earlier than E ? (a) A and B (b) A and D (c) B and C (d) C and D 40. In case D and E are shown as far apart from each other as possible, which among the following would be true ? (a) B is shown earlier than C. (b) C is shown earlier than E. © D is shown earlier than A. (d) E is shown earlier than B. 41. In case B, D and E are to be shown one after the other in the given order, the two positions from first to fifth in which A could possibly be shown are (a) first and second. (b) first and fourth. (c) second and third. (d) third and fifth. 42. In case exactly one film is shown between A and C, and exactly one film is shown between B and D, which among the following will hold true ? (a)C is the film shown between B and D. (b)E is the film shown between A and C. (c )D is the last film shown. (d)E is the first film shown. Directions Q. No.43 to 47: Read the following information carefully and answer the questions below: A family consists of six members P,Q,R,S,T and U . There are two married couples. Q is a doctor and the father of T.U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is no doctor, one contractor, one nurse, one housewife and two students in the family. 43.Who is the husband of P? (a) R (b) U (c) Q (d) S 44.Who is the sister of T? (a) R (b) U (c) T (d) Information insufficient
4
45. Which of the following are two married couples? (a) US, QT (b) US, QP (c) TS, RU (d) US, RP 46. What is the profession of P? (a) Doctor (b) Nurse (c) Doctor or Nurse (d) Housewife 47.Which of the following is definitely a group of male members? (a) QU (b) QUT (c) QUP (d) UT Directions for Q.No.48 to 52: Read the following information carefully and answer the questions below: A training college has to conduct a refresher course for teachers of seven different subjectsMechanics, Psychology, Philosophy, Sociology, Economics, Science and Engineering from 22nd July to 29th July. (1) Course should start with Psychology. (2) 23rd July, being Sunday, should be holiday. (3) Science subject should be on the previous day of the Engineering subject. (4) Course should end with Mechanics subject. (5) Philosophy should be immediately after the holiday. (6) There should be a gap of one day between Economics and Engineering. 48. The refresher course will start with which one of the following subjects? (a) Psychology (b) Mechanics (c) Philosophy (d) Economics 49. Which subject will be one Tuesday? (a) Mechanics (b) Science (c) Economics 50. Which subject precedes Mechanics? (a) Economics (b) Engineering
(d) Psychology
(c) Philosophy
(d) Psychology
51. How many days’ gap is there between Science and Philosophy? (a) One (b) Two (c) Three (d) No gap 52. Which subject is followed by Science? (a) Engineering (b) Psychology (c) Philosophy
(d) Economics
53. Find the next term in the series 5,25,61,113,---(a)121 (b) 212 (c) 181
(d) 216
54. If BLACK is coded as DNCEM, then the coding for ORANGE is---(a)PSBOHF (b) QTCPIG (c) QTCPHF (d) QTBPIG 55.If CABLE is coded as 64592,then what is the coding for LABLE? (a)92492
(b) 1545158
(c) 154592
(d) 94592
5
CDC
Worksheet - Logarithm SRM University
1. Find the logarithm of 144 to the base A) 2
B) 4
:
C) 8
D) None of these
2. What is the characteristic of the logarithm of 0.0000134? A) 5
B) -5
C) 6
D) -6
3. A) 1/x
B) x/(x+1)
C) x/(1-x)
D) x/(x-1)
4. A) 1 B) 3/2
C) 2
D) 5
5. Find x if A) 0
B) 1
C) 2
D) None of these
6. If A) 0
, then xyz is equal to : B) 1
C) lmn
D) 2
7. The number of solutions of the equation A) 0
B) 1
C) 2
is:
D) 3
8.The greatest possible value of n could be if A) 7
B) 8
9.If
C) 9
:
D) 10
and A) A
, given that log 3 = 0.4771 and
, then which one of the following is correct?
B) A=B
C) A>B
D) can't be determined
10. If log2 [log3 (log2 x)] = 1, then x is equal to: A.0
B.128
C.12
D.512 64
11. If log 2 = 0.30103, the number of digits in 2 is: A.18
B.20
C. 19
D.21
12. The value of (log 3 4) (log4 5) (log5 6) (log6 7) (log7 8) (log8 9) is :
SRM University
CDC
CDC
Worksheet - Logarithm SRM University
A.2
B.8
C.7
D.33
13. The value of log(.01) (1000) is: A.
1/3
B. – 1/3 C. 3/2
D. – 3/2
14. If log 2 = 0.3010 and log 3 = 0.4771, the value of log 5 512 is : A.2.870
B.3.876
C.2.967
D.3.912
15. The value of 1/3 log 10 125 - 2log10 4 + log10 32 A.0
B.1
C. 4/5
is:
D.2
16.If log5 ( x2 + x) - log5 ( x + 1) = 2, then the value of x is: A.5
B.25
C.10
D.32
(1/2)
17. If log8 A.14
x = (10/3), find the value of x B.32 C.64 D.1024
18. Find the value of x which satisfies the relation Log 103+log10(4x+1)=log10(x+1)+1 A.2/7 B.7/2 C.2/5 D.5/2 19. Simplify: [1/logxy (xyz) + 1/logyz(xyz) + 1/logzx(xyz)] A. 1 B.2 C.3 D.4 20. If log 2=0.3010 and log 3=0.4771,find the value of log 4.5 A.1.2552 B.0.9542 C.1.6532 D.0.6532 21.If ( log ba) (logc b) (logac) is equal to A.0 B.1 C.a bc D.a+b+c
22 if a) 2
= b)3
c) 6
, then the value of x = ?
d) 8
23.
is equal to a) 5
b) 4
c) 3
24. If
d) 2
=
a) 1/100 or 100
b)
, then the value of x is 2
c) 10 or 1/10
d) 100
25. what is the value of a)
b)
SRM University
c) 10657
d) 4098
CDC
PERMUTATION AND COMBINATION
1. How many words with or without meaning, can be formed by using a ll the letters of the word, 'DELHI' using each letter exactly once? (d) 120 (a) 720 (b) 24 (c) None of these 2. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once? (d)1680 (a) 720 (a)360 (c) 1420 3. An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair? (a)100 (c) 110 (d) 64 (b) 80 4. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? (a) 47200 ( b)48000 (c) 42000 (d)50400 5. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated? (a) 20 (b) 16 (c) 8 (d) 24 6. 4. How many numbers are there between 100 and 1000 such that at least one of their digits is 6? (d) 252 (a) 648 (b) 258 (c) 654 7. How many numbers not exceeding 10000 can be made using the digits 2,4,5,6,8 if repetition of digits is allowed? (c) 780 (a) 9999 (b) 820 (d) 740 8. 25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus? (b)600 (a) 50 (c) 576 (d) 625 9. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? (b) 209 (a) 159 (c) 201 (d) 212 10. There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period? (b)3600 (a) 3200 (c)2400 (d) None of these
11. What is the sum of all 4 digit numbers formed using the digits 2, 3,4 and 5 without repetition? (a) 93324 (b)92314 (c)93024 (d)91242 12. In a birthday party, every person shakes hand with every other person. If there was a total of 28 handshakes in the party, how many persons were present in the party? (b) 8 (a)9 (c) 7 (d) 6 13. In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate? (a) 2880 (b)1400 (c)1200 (d) 3212 14. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers? (d)729 (a) 120 (b) 216 (c)125 15. If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board? (d) 1296 (a) 920 (b) 1024 (c) 64 16. How many five digit positive integers that are divisible by 3 ca n be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating (c) 216 (a) 15 (b) 96 (d) 120 17. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM? (a) 24
(b) 31
(c) 32
(d) 30
18. How many four letter distinct initials can be formed using the a lphabets of English language such that the last of the four words is always a consonant? (a) (26^3)*(21)
(b) 26*25*24*21
(c)25*24*23*21
(d) None of these.
19. There are 12 yes or no questions. How many ways can these be answered? (c) 4096 (a) 1024 (b) 2048 (d) 144 20. A person writes letters to six friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in wrong envelopes? (a) 119
(b) 120
(c) 720
(d) 719
21. There are 12 points out of which 7 points are marked on the straight line. How many triangles is it possible to form? (a) 185
(b) 175
(c) 7! × 5!
(d) 140
22. A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12? (a) 1
(b) 21
(c) 11
(d) 47
23. How many 5-digit positive integers exist the sum of whose digits are odd? (a) 36000
(b) 38000
(c) 45000
(d) 90000
24. A 6x6 grid is cut from an 8x8 chessboard. In how many ways can we put two identical coins, one on the black square and one on a white square on the grid, such that they are not placed in the same row or in the same column? (a) 216
(b) 324
(c) 144
(d) 108
25. In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION? (a)
9! 4!5!
(b)
9! 4!
(c)4! ×5!
(d) None of these
ASSIGNMENT
1. The sum of all the numbers which can be formed by using the digits 1, 2, 3, 4 all at a time (no digit is being repeated) is (a) 10000
(b) 60000
(c) 66000
(d) 66660
2. In how many ways can the letters of the word ‘MACHINE’ be arranged so that the vowels may occupy only odd positions? (a) 4 x 7
(b) 576
(c) 288
(d) none
3. The number of positive integers greater than 6000 and less than 7000 which are divisible by 5, with no digit repeated is (a) 28
(b) 56
(c) 112
(d) 84
4. How many words can be formed with the letters of the word “PATALIPUTRA” without changing the relative order of the vowels and consonants? (a) 3600
(b) 3900
(c) 6300
(d) 4600
5. In a symposium, four speakers – an economist, a politician, a union leader and a social worker, are to speak one after another. How many schedules showing the order in which these persons speak will have the economist speaking always after the politician? (a) 6
(b) 12
(c) 24
(d) None of these
6. How many words can be formed using all the letters of the word ‘LAUGHTER’ so that the vowels are never together? (a) 14400
(b) 3600
(c) 40320
(d) 36000
7. If there are twelve persons in a party and if each two of them shake hands with each other, how many hand shakes happen in the party? (a) 66
(b) 55
(c) 24
(d) 48
8. How many different Barbie’s can I make if I can choose from 4 different skin colours, 3 different eye colours, 4 different hairstyles and 6 different hair colours? (a) 17
(b) 288
(c) 2488320
(d) None of these
9. A committee of seven is to be formed from 9 boys and 5 girls. In how many ways can this be done, when a committee contains at least three girls? (a) 1726
(b) 1716
(c) 1617
(d) 2617
10. How many 4 letter words with or without meaning can be formed out of the letters of the word ‘LOGARITHMS’, if repetition of l etters is not allowed? (a) 40
(b) 400
(c) 5040
(d) 2520
11. How many different numbers greater than three lakhs can be formed out of the digits 111223? (a) 60
(b) 10
(c) 120
(d) 720
12. In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? (a) 3990
(b) 1540
(c) 1995
(d) 3672
13. In how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate? (a) 57 60
(b) 5040
(c) 40320
(d) 1152
14. Find the number of numbers between 300 and 3000 that can be formed with the digits 0,1,2,3,4 and 5, no digits being repeated in any number (a) 90
(b) 120
(c) 160
(d) 180
15. Five Matches are to be played in a chess tournament. In how many ways can their results be decided? (a) 243 these
(b) 343
(c) 128
(d) none of
CDC Department
Simple Interest & Compound Interest_ Answer key
SRM University
1. Simple interest on an amount after 36 months at the rate of 3% per quarter is 720. The amount is 1) 4000
2) 2000
3) 6000
4) 4800
2. An amount becomes 8,800 in four years at 15% p.a. What is that amount? 1) 5,500
2)7,500
3) 5,800
4) 6,400
3. Amir took a loan of 900 at the rate of 12% per year for 8 months. How much does he need to pay at the end of 8 months? 1) 952
2) 852
3) 872
4) 972
4. The simple interest on a sum of money will be 900 after 3 years. In the next 3 years if principal is doubled, then what will be the total interest at the end of the 6th year? 1) 900
2) 1800
3) 2700
4) 3600
5. If 40000 is given as loan for a period of 3 years with interest rates 5%, 7% and 9% for the 1st, 2nd and 3rd years respectively, what is the total amount that needs to be paid in the end? 1) 23500
2) 24200
3) 18000
4) 24000
6. Ganesh borrowed some money at the rate of 5% p.a. for the first three years, 7% p.a. for the next 5 years and 9% p.a. for the period beyond eight years. If the total intere st paid by him at the end of 14 years is 6240, how much money did he borrow? 1) 6300
2) 6180
3) 6200
4) 6000
7. A sum of money becomes 1120 in 4 years and 1360 in 7 years at SI. How much money is deposited? 1) 900
2) 700
3) 800
4) 1200
8. Arun borrows 1500 from two money lenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% pa for the other. How much does he borrow at 12% pa if the total interest paid at the end of the year is 186? 1) 1200
2) 1125
3) 1250
4) 1800
9. A sum amounts to 3 times itself at SI in 5 years. In what time will it become 5 times itself? 1) 5 years
2) 15 years
3) 10 years
4) 7.5 years
10. What will be the compound interest on 15000 for 2 years at 12% per annum? 1) 3604
2) 3816
3) 3836
4) 3800
CDC Department
Simple Interest & Compound Interest_ Answer key
SRM University
11. Compound interest on a certain amount for 2 years at the rate of 5% is 102.5. Find the amount. 1) 500
2) 725
3) 850
4) 1000
12. An amount of 10000 is taken as loan by Ajmal at compound interest charging 8% p.a. for 1st year and 9% p.a. for the 2nd year. How much is the total to be paid by Ajmal after 2 years? 1) 16000
2) 14772
3) 12000
4) 11772
13. A sum of 40000 is invested for 18 months at 20% p.a. on compound interest. If the interest is compounded half yearly, what will be the interes t to be paid? 1) 13240
2) 13080
3) 13530
4) 13540
14. Rohit has given a loan to Sohit an amount of 20000 at an interest rate 8 % p.a. for a period of 30 months. If interest charged is at compound interest, how much does Sohit need to pay in the end? 1) 23000
2) 24000.36
3) 24261.12
4) 25020.54
15. A sum of money invested at CI amounts to 800 in 3 years, 882 in 5 years. Find the rate of interest? 1) 2.5%
2) 5%
3) 4%
4) 6.66%
16. On a given amount the compound interest at the end of first year was 81 and the second year was 88.29. How much money was invested? 1) 900
2) 996
3) 880
4) Cannot be determined
17. A sum of 5000 is invested for 3 years at 5% p.a. on compound interest. Income Tax at the rate of 20% on the interest earned was deducted at the end of each year. The amount at the end of 3rd year? 1) 5624.32
2) 5630.50
3) 5620.54
4) 5608.30
18. A sum of money doubles itself at CI in 9 years. In how many years will it become 16 times itself? 1) 18 years
2) 36 years
3) 27 years
4) 45 years
19. What is the difference between compound interest and simple interest for the sum of 20000 over a 2 year period, if CI is calculated at 20% p.a. and SI is calculated at 23% p.a.? 1) 200
2) 125
3) 250
4) 400
20. If the difference between the simple interest and compound interest on some amount at 10% pa for 3 years is 372, then what must be the principal amount? 1) 12400
2) 12000
3) 14800
4) 18000
CLOCKS AND CALENDARS
CLOCKS
1. On what dates of July 2004, did Monday fall? (a) 5, 12, 19, 26
(b) 3, 10, 17, 24
(c) 4, 11, 18, 25
(d) 6, 13, 20, 27
th
2. What was the day of the week on 16 April, 2000? (a) Monday
(b) Sunday
(c) Saturday
(d) Friday
(c) Saturday
(d) Friday
3. Today is Friday. After 62 days, it will be: (a) Monday
(b) Sunday
4. The last day of a century cannot be (a) Monday (b) Wednesday
(c) Tuesday
(d) Friday
5. Prove that the calendar for the year 2003 will serve for the year 2014. th
6. How many times does 29 day of the month occur in 400 consecutive years? a) 4400
b) 4497
c) 4500
d) None of these st
7. If first day of the year 1999 was Tuesday, what day of the week must have been on 1 January, 2006? (a) Monday
(b) Tuesday
(c) Wednesday
(d) Thursday
CALENDARS
8. What is the angle between minute hand and hour hand of a clock when the correct time is 4:20 p.m.? (a) 10 °
(b) 11 °
(c) 12 °
(d) 13 °
9. What is the correct time between 3 and 4 a.m. when the two hands of a clock point in opposite direction? (a) 49 1/11 minutes past 3’o clock
(b) 49 2/11 minutes past 3’o clock
(c) 48 2/11 minutes past 3’o clock
(d) 48 1/11 minutes past 3’o clock
10. A clock is set at 8 a.m. the clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on next day? (a) 12 minutes before 1 p.m.
(b) 9 minutes before 1 p.m.
(c) 11 minutes before 1 p.m.
(d) 10 minutes before 1 p.m.
11. At what time between 4 and 5 are the hands 2 minutes apart? (a) 19 7/11 minutes past 4’o clock
(b) 19 2/11 minutes past 4’o clock
(c) 18 5/11 minutes past 4’o clock
(d) 17 2/11 minutes past 4’o clock
12. What is the correct time between 4 and 5 p.m. when the minute hand and hour hand be at right angles? (a) 10 minutes before 4 p.m.
(b) 5 5/11 minutes before 4 p.m.
(c) 5 1 /11 minutes before 4p.m.
(d) 5 minutes before 4 p.m.
ASSIGNMENT III
1. On what dates of October 1994, did Wednesday fall? 2. Any date in March is the same day of the week as the corresponding date in November of that year. State True or False. rd
3. Today is 3 November, Monday. This is a leap year. What will be the day of the week on this date after 3 years? 4. If the hands of a clock coincide every 66 min, how much time does the clock gain or loses per day? 109
109
a) 11 121
b) 10
109
2
c)
2
d) None of these
5. At what time between 5 and 6 will the hands of the clock be at the angle of 120 degree to each other? 6. Find the angle between the hands of a clock when the time is 3.40 in degrees. a) 130
b) 240
c) 110
d) None of these
7. A clock is set right at 2 p.m. If it gains one minute an hour, what is the true time when the click indicates 7 p.m, the same day? 56
a) 55 60 min past 6 5 11 min
b) 55
past 6
56
c) 55 61 min past 6 7
d) 55
11 min
past 6
8. At what time between 2 and 3 are the hands of a clock 18 min apart? (a) 5
5 11
(b) 16
min past 2
4 11
min past 2
(c) 2 (d) 13
2 11
min past 2
4 11
min past 2
9. Which of the following years has the same calendar as the year 1990? (a)2000 (b) 2001 (c) 2002 (d) 2003 10. Today is Thursday. The day after 59 days will be: (a) Friday (b) Saturday (c) Sunday
(d) Monday
1. How many factors of 720 are even? a) 15 b) 36 c) 8
d) 24
2. Find the sum of the even factors of 300. a) 728 b) 625 c) 744 d) 600 3. How many factors of 600 are divisible by 5 but not divisible by 25? a) 24 b) 15 c) 12 d) 8 4. In the first 500 natural numbers, how many numbers have only three factors? a) 4 b) 5 c) 6 d) None of these 5. If a 100 digit number consisting of all 7’s is divided by 8, what is the remainder? a) 5 b) 1 c) 3 d) 4 6. Find the last non–zero digit in 100! a) 3 b) 4 c) 2
d) 5
7. How many consecutive zeroes are at the end of 100!? a) 20 b) 12 c) 22 d) 24 8. Find the unit digit of the number 17 2003. a) 7 b) 9 c) 3 d) 1 9. What is the unit digit in the expansion of 8^2^4^8^16^.....? a) 8 b) 4 c) 2 d) 6 10. Find the unit digit of 1! + 2! + 3! + 4! + 5! + 6! + …..+ 100!? a) 3 b) 9 c) 4 d) 0 11. If 1715 + 1315 is divided by 15, what is the remainder? a) 3 b) 9 c) 0 d) 1 12. If 18201 is divided by 7, what is the remainder? a) 0 b) 1 c) 3 d) 9 13. Ajay purchased a box of sweets and gave half the number of sweets to his wife, three sweets to his first son, one-third of the remaining to his second son and two to his third son. Find the number of sweets he purchased, if he is finally left with 4 sweets. a) 12 b) 14 c) 16 d) 24 14. When a number is divided by 34, the remainder is 13. If thrice the same number is divided by 17, the remainder is a) 5 b) 3 c) 7 d) 2
Page 1 of 2
15. Find the least possible number which when divided by 7 and 5, leaves a remainder of 2 and 1 respectively. a) 16 b) 9 c) 23 d) 37
16. If 100! is divisible by 12 n, what is the maximum value of n? a) 97 b) 24 c) 48 d) 12 17.If 481A769B is divisible by 5,6 and 9 then A+B is ____? a) 0 b) 1 c) 2 d) 3 18.Find the smallest no which when divided by 3,5,7,9 and 11 leaves respective remainder of 2,4,6,8 and 10. a). 2265 b) 2275 c) 2274 d) 3464 19.Find the largest no which when 145,121,97 are divided the remainders are same. a) 48 b) 12 c) 36 d) 24 20. 5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. If they toll together at the same time, after how many seconds will they toll together again for the first time?. a) 400 b) 120 c) 60 d) 30
Page 2 of 2
