Basic Concepts - 3

BASIC CONCEPTS – 3 NUMBER SYSTEM, AVERAGES AND MENSURATION 1. What least number should be added to 16380 to make it a perfect square? (a) 1 (b) 2 (c) 3 (d) none these 2. o! man" numbers bet!een #00 and 1000 are di$isible b" 13? (a) 33 (b) 3% (c) 3# (d) none these 3. & 'ertain number !hen di$ided b" # lea$es a remainder 30. What is the remainder if the the same number be di$ided b" 1? (a) 8 (b)  (c) 10 (d) none these %. *our bells rin+ at inter$als of 10 min 12 min 1# min , 20 min respecti$el". -f the" rin+ to+ether at 8 am find after !hat inter$al of time do the" rin+ to+ether a+ain? (a)  am (b) 10 am (c) 11 am (d) none these #. & bo" has three kinds of marbles the first kind 1%3 the second 182 , the third 208. *ind the least number of heaps into !hich he can keep them separatel". (a) 13 (b) 21 (c) 31 (d) none these 2

6. '/ of 0

#

3



, 1%

(a) 201

is 3

(b) 301

(c) %03

(d) none these

. he '* , '/ of t!o numbers are %% , 26% respecti$el". -f 2 di$ide the first number the quotient is %%. *ind the other number. (a) 88 (b) 132 (c) 12% (d) none these 8. *ind the unit di+it of the product of all the elements of the set !hich consists of all the prime numbers +reater than 2 but less than 222. (a) 3 (b) % (c) # (d) none these 222

. he remainder of

888

888

 222

is

3 (a) 0

(b) 1

(c) 2

(d) none these

10. *ind the unit di+it of 222 888  888222. (a) 0 (b) 1 (c) 2

(d) none these

11. *ind the remainder !hen 11 8 is di$ided b"  (a) 0 (b) 1 (c) 2

(d) none these

12. & monke" !anted to climb on the smooth $ertical pole of hei+ht of 3# metre. -n the first one minute he climbs up # metre in the ne4t one minute he slips do!n b" 2 metre. *urther he repeated the same process till he has reached on the top of the pole. o! man" times it has to +o up!ard to reach the ape4 of the pole? (a) 10 (b) 11 (c) 12 (d) none these 13. he unit di+it of the follo!in+ e4pression is (15)1  (25)2  (35)3  (%5)%  (#5)#  (65)6 (a) # (b) 6 (c) 

(d) none these

1%. & bou+ht some chocolates from a shop he +a$e to  one less than half of !hat he had initiall". hen be and +i$en 3 chocolates to ' and then half of the chocolates !hich he had then +i$en to 7. finall" he +a$e one chocolate to  and one chocolate !ith him. he number of chocolates he had bou+ht. (a) 8 (b) 12 (c) 1% (d) none these 1#. & t"pist starts to t"pe the serial numbers of candidates in a list up to #00. /inimum ho! man" times he has to press the ke"s of numerals onl"? (a) 138 (b) 132 (c) 13%% (d) none these

9a+e 1 of 3

16. he a$era+e monthl" salar" of 20 emplo"ees in an or+ani:ation is ;s.1#00. -f the mana+er of them secured a mean score of 81 and the dullest 2#> a mean score of 31. he mean score of remainin+ ## is? (a) %# (b) #0 (c) #1 (d) #% 18. & batsman makes a score of 6% runs in the 16 th innin+s and thus increased his a$era+e b" 3. *ind his a$era+e after the 16 th innin+ (a) 18 (b) 1 (c) 1 (d) 16 1. !el$e "ears a+o the a$era+e a+e of a husband and his !ife !as 20"ears. he a$era+e is same toda" !hen !hen the" ha$e t!o children. What is the present a+e of the "oun+est child if the" differ in a+e b" 2"ears? (a) 6"ears (b) #"ears (c) 8"ears (d) "ears 20. he a$era+e a+e of a!ans in &rm" of %0 is reduced b" 1 "ear "ear !hen 10 men !hose a$era+e a+e is 20 "ears are dischar+ed and 10 ne! men are admitted. *ind the a$era+e a+e of ne! +roup @oined the arm"? (a) 1% (b) 1# (c) 16 (d) 1 21. he a$era+e !ei+ht of 8 men is increased b" 2k+s !hen one of the men !hose !ei+ht #0k+s is replaced b" a ne! man. *ind the !ei+ht of the ne! man? (a) 60k+s. (b) 6#k+s. (c) 63k+s. (d) 66k+s. 22. - !ent to a hotel alon+ !ith t!el$e friends. - paid ;s= 1%# and all the others paid an equal amount. -n the end !e did some calculations and found that the a$era+e sum paid b" all of us !as ;s= # more than !hat !as ori+inall" paid b" each of m" friends. o! much mone" did each of m" friends pa"? (a) ;s= 120 (b) ;s= 100 (c) ;s= 80 (d) ;s= 0 23. *ind the ratio of the areas of inAcircle and circumAcircle of a square. (a) 1=# (b) 1=2 (c) 2=1 (d) Bone 2%. he front !heel s of a !a+o n are 3 π feet in circumference and the rear !heels are % π feet in circumference. When the front !heels ha$e made 12 more re$olutions than the rear !heels !heels ho! man" feet has the !a+on tra$eled? (a) %8π ft (b) 56 π   ft  (c) 6%πft (d) Bone 2#. -f four circles each of the radius  cm are so kept that each circle touches the other t!o. *ind the area of the re+ion enclosed b" the four circles (in sq.cm.)? (a) %2 (b) #2 (c) 32 (d) none 26. & person uses a sheet sheet measurin+ measurin+ 30cm b" %0cm len+th!ise. len+th!ise. -f a mar+in mar+in o f 3cm is lef t on each side and a 3cm mar+in on to p an d bo ttom then percent percent of of the the pa+e pa+e used used for for t"pin+ t"pin+ is? (a) #0> (b) 68> (c) 80> (d) Bone 2. & rectan+ular la!n #0 m b" 30 m has t!o roads each 2 m !ide runnin+ in the middle of it one parallel to len+th and the other parallel to breadth. he cost of +ra$ellin+ the roads at ;s= # for square metre is? (a) ;s= 11#00 (b) ;s= 112#0 (c) ;s= 1100 (d) Bone 28. he radius of a c"linder is the percenta+e chan+e in (a) %> increase (c) 33 13 > increase

increased b" 20> and its hei+ht is decreased b" 33 13> then !hat is its $olume? (b) %> decrease (d) 33 13> decrease

2. & c"linder of the ma4imum possible si:e is made out of a solid !ooden cube. o! much material is lost in this process (appro4imatel")? (a) 20> (b) 22> (c) 2%> (d) Bone 30. he base radius of a cone and a c"linder are in the ratio of 2=3 and their hei+hts are in the ratio of 3=2 then the ratio of the $olumes of a cone and a c"linder is

9a+e 2 of 3

(a) 1=1

(b) 2=3

(c) 3=2

(d) Bone

9a+e 3 of 3