SET I
1. Find the number of perfect squares in the given series 2013, 2020, 2027,................, 2027,................, 2300 (Hint 442!1"3#$ b. 2 c. 3 d. %an&t be determined a. 1
2. 234' 234'' 234''' 234'''........... hat as )ast 2 numbers at 200th digit* c. 55 a. '0 b . 4' d. #0
3. +here are equa) number of bos and gir)s in a c)ass. -f 12 gir)s entered out, tice the bos as gir)s remain. hat as the tota) number of students in a c)ass* a. 4' b. 4/ c. '' d . #0
4. a bb ccc ddddeeeee .........hat .........hat is the 120th )etter* c. O a. b. d. '. +here are 120 ma)e and 100 fema)e in a societ. ut of 2' ma)e and 20 fema)e are rura). 20 of ma)e and 2' of fema)e rura) peop)e passed in the e5am. hat of rura) students have passed the e5am* a. 11 b. 2 0 c. 2' d. 22 #. 167 th of the tan contains fue). -f 22 )itres of fue) is poured into the tan the indicator rests rests at 16'th mar. hat is the quantit of the tan* a. 110 b. 3/' c. c. 3#' d. 3#0 7. hat is the probabi)it of getting sum 3 or 4 hen 2 dice are ro))ed 8nser9 '63# a. 163# b. 164 c. 162 d. '63# /. +he perimeter perimete r of a equi)atera) triang)e and regu)ar regu)ar he5agon are equa). Find out the ratio of their areas* a. 392 b. 293 c. 19# d. #91 ". hich of the fo))oing numbers must be added to '#7/ to give a reminder 3' hen divided b 4#0* a. "/0 b. 7"7 c. "'' d. #1/ 10. 8 gir) entered a store and bought 5 :oers for do))ars (5 and are integers$. hen she as about to )eave, the c)er said, ;-f ou bu 10 more :oers - i)) give ou a)) for <2, and ou i)) save /0 cents a do=en>. +he va)ues of 5 and are9 a. (1',1$ b. (10,1$ c. (',1$ d. %annot be determined 11. -f a number is divided b 3'7 the remainder is ', hat i)) be the remainder if the number is divided b 17*
a. "
b. 3
c. '
d. 7
12. -n ho man possib)e as can rite 3240 as a product of 3 positive integers a,b and c. a. 4'0 b. 420 c. 3'0 d. 320 13. -n the given ?gure, -f the sum of the va)ues a)ong each side is equa). Find the possib)e va)ues a, b, c, d, e, and f.
a. ", 7, 20, 1#, #, 3/ b. 4, ", 10, 13, 1#, 3/ c. 4, 7, 20, 13, #, 3/ d. 4, 7, 20, 1#, #, 33
14.en thro a die each simu)taneous). Find the probabi)it that at )east 2 peop)e get the same number a. '61/ b. 1361/ c. 163# d. 162 1'. 70, '4, 4', 41@@. hat is the ne5t number in the given series* a. 3' b . 3# c. 3/ d. 40 1#. Ho man positive integers )ess than '00 can be formed using the numbers 1,2,3,and ' for digits, each digit being used on) once. a. '2 b . #/ c. ## d. 34
17. 11, 23, 47, /3, 131, . hat is the ne5t number* a. 14' b. 17/ c. 17# d. 1"1
1/. 8 series of boo as pub)ished pub)ished at seven ear ear interva)s. hen the seventh boo boo as pub)ished the tota) sum of pub)ication ear as 13, '24. First boo as pub)ished in* a. 1"11 b. 1"10 c. 2002 d. 1"32 1". %rusoe hatched from a msterious egg discovered b 8ngus, as groing at a fast pace that 8ngus had to move it from home to the )ae. Aiven the eights of %rusoe in its ?rst ees of birth as ', 1', 30,13', 40', 121', 3#4'. Find the odd eight out. a$ 3#4' b$ 13' c$ 30 d$ 1'
20. 8 can comp)ete a piece of or in / hours, B can comp)ete in 10 hours and % in 12 hours. -f 8,B, % start the or together but 8 )aves after 2 hours. Find the time taen b B and % to comp)ete the remaining or. 8$ 2 (1611$ hours B$ 4 (1611 611$ ho hours %$ 2 (#611$ ho hours C$ 2 hours 21. 8 tree of height 3#m is on one edge of a road road broe at a certain height. -t fe)) in such a a that the top of the tree touches the other edge of the road. -f the breadth of the road is 12m, then hat is the height at hich the tree broe* a. 1# b. 24 c. 12 d . 1/ 22. +he stics of same )ength are used to form a triang)e as shon be)o.-f /7 such stics are used then ho man triang)es can be formed* a. /7 b. 44 c. 43 d. 42
23. 17 D / m rectangu)ar ground is surrounded b 1.' m idth path. Cepth of the path is 12 cm. Arave) is ?))ed and ?nd the quantit of grave) required. required. a. '.' b. 7.' c. #.0' d. 10.0/
24. 8 sum of Es.3000 is distributed among 8, B, and %. 8 gets 263 of hat B and % got together and c gets 163 of hat 8 and B got together, %s share is* a. 700 b. 720 c. 7'0 d./00 2'. +he numbers 27273/ and 232342, hen divided b n, a to digit number, )eave a remainder of 13 and 17 respective). Find the sum of the digits of n* a. 7 b. / c. ' d. 4
2#. Ho man diGerent integers can be e5pressed as the sum of three distinct numbers from from the set 3, /, 13, 1/, 23, 2/, 33, 3/, 43, 4/I* option a$ / b$ '# c$ 120 d$ 22 27. 8 oes B Es.'0. He agrees to pa B over a number of consecutive das starting on a onda, paing sing)e note of Es.10 or Es.20 on each da. -n ho man diGerent as can 8 repa B. a$ / b$ # c$ 12 d$ 14 2/. H%F of 2472,12/4 and a third number nis 12.-f their J% is /K"K'K103K107.then /K"K'K103K107.then the number nis.. a. 22K32K'1 b. 22K32K71 c. 22K32K/103 d. one of the above. 2". hat is the va)ue of 77LK(77LM2K'4L$36(77LN'4L$3 77LK(77LM2K'4L$36(77LN'4L$3N'4LK(2K77LM'4L$ N'4LK(2K77LM'4L$36(77L 36(77L N'4L$3 a. 77L M '4L b. 77L N '4L c. 77L2 M '4L2 d. 77L 30. +he mared price of coat as 40 )ess than the suggested retai) price. Oesha purchased the coat for ha)f of the mared price at the 1'th anniversar sa)e. hat percent )ess than the suggested retai) price did Oesha pa* a$ #0 b$ 20 c$ 70 d$ 30 31. -n a cit there are fe engineering, B8 and %8 candidates. Pum of four times the engineering, three three times the B8 and ' times %8 candidates is 3#'0. 8)so three times %8 is equa) to to times B8 and three times engineering is equa) to to times %8. -n tota) ho man B8 candidates are there in the cit* a. 200 b. 300 c. 4'0 d. 400
32. 8 rectang)e rectang)e is divided into four rectang)es ith area area 70, 3#, 20, and 5. +he va)ue of 5 is
a. 3'06"
b. 3'067
c. 3'0611
d. 3'0613
33. there are 4 bo5es co)ored red, e))o ,green and b)ue. if 2 bo5es are se)ected,ho man combinations are there for at )east one green bo5 or one red bo5 to be se)ected* a$1 b$# c$" d$'
34. Find a to digit number hich is doub)ed and after that add N2 in it. and then reverse the number e ou)d get the actua) number. a$1' b$2# c$3" d$2' 3'. Find the missing number / , 1 , 17 , 4 , 3' , 10 , 71 , *, 143 a. 22 b. 20 c. 12 d . 21 3#. -f 5 denotes 5 raised to the poer , ?nd )ast to digits of (1"41 3/43$N (1"#1 41/1$. a. 02 b. /2 c. c. 42 d . 22 37. -n ho man as can 7 distinct obQects be divided among three peop)e so that either one or to of them do not get an obQect* a. 3/1 b. 37/ c. c. 73 d . 70 3/. hen 3 dice are ro))ed ?nd the probabi)it of getting a sum of 13* a. 21621# b. /621# c. 42621# d. 22621# 3". Rou have been given a phsica) ba)ance and 7 eights of '2, '0, 4/, 44, 4', 4#, and 7/ Sgs.. Seeping eights on one pan and obQect on the other, hat is the ma5imum ou can eigh )ess than 1/3 Sgs.* a$17/ b$1/0 c$1/1 d$1/2 40. Aiven 8NBN%NCNO! FA. -f FA is a5imum as possib)e and 8,B,%,C,O,F,A 8,B,%,C,O,F,A a)) are distinct digits(0M"$ then hat is the va)ue of A. a$ 1 b$ 2 c$ 3 d$ 4 41. -f a )adder is 10 m )ong and distance beteen bottom of )adder and a)) is # m. hat is the ma5imum si=e of cube that can be p)aced beteen the )adder and a)). a. 34.2/ b. 24.2/ c. 21.42 d. 2/.'# 42. Ho man )iters of a "0 of concentrated acid needs to be mi5ed ith a 7' so)ution of concentrated acid to get a 30 )iter so)ution of 7/ concentrated acid* a. 3 b. 4 c. # d. 10 43. Find the ratio of the area of square to area of triang)e.
a. 192 c. 293
b. 291 d. 392
44. -n this question 8B 8B means 8 raised to the poer poer B. -f f(5$ ! a54 M b52 N 5 N ' and f(M3$ ! 2, then f(3$ ! a. 1 b. M 2 c. 3 d. / 4'. f a set of 30 numbers, average of ?rst 10 numbers ! average of )ast 20 numbers. +hen the sum of the )ast 20 numbers numbers is* a. %annot be determined. b. 2 5 sum of )ast ten numbers c. 2 5 sum of ?rst ten numbers d. sum of ?rst ten numbers 4#. 8 p)a schoo) has choco)ates hich can supp) '0 students for 30 das. For the ?rst ten das on) 20 students ere present. Ho man more students can be accommodated into the ear)ier group such that the entire choco)ates get consumed in 30 das. 8ssume each student student taes the same number number of choco)ates. choco)ates. a. 4' b. #0 c. '' d . 70 47. -n the ton of Tnevenvi))e, it is a tradition to have the si=e of the front hee)s of ever cart diGerent diGerent from that of the rear rear hee)s. +he a)so have specia) specia) units to measure cart hee)s hich is ca))ed uneve. +he circumference of the front hee) of a cart is 133 uneves and that of the bac hee) is 1"0 uneves. hat is the distance trave)ed b the cart in uneves, hen the front hee) has done nine more revo)utions than the rear hee)* a. '70 b. 1330 c. 3""0 d. 3"" 4/. +here are 20 persons sitting in a circ)e. -n that there are 1/ men and 2 sisters. Ho man arrangements are possib)e in hich the to sisters are a)as separated b a man* a. 1/L52 b. 17L c. 1752L d . 12 4". 8 number p)ate can be formed ith to a)phabets fo))oed b to digits, ith no repetiti repetition. on. +hen ho man possib)e combinations can e get* a. '/'00 b. #7#00 c. #'000 d. #4320 '0. 8 a)one can do 164th of the or or in 2 das. B a)one can do 263th of the or in 4 das. -f a)) the three or or together, the can comp)ete comp)ete it in 3 das so hat part of the or i)) be comp)eted b % in 2 das* a. 1612 b. 16/ c. 161# d. 1620