IBPS REASONING PRACTICE QUESTIONS

ARITHMETICAL REASONING

DIRECTIONS for Questions 1 to 12: Choose the correct alternative:
1.     P. R. R and S play a game of cards.  P says to Q, “If I give you 8 cards, you will have as many as R has and I shall have 3 less than what R has.  Also, if I take 6 cards from R, I shall have twice as many as S has.”  If Q and S together originally had 50 cards, then how many cards has P got?
a]  40                     b]  37                  c] 27                   d] 23                 e]  None of these

2.     In a chess tournament each of six players will play every other player exactly once.  How many matches will be played during the tournament?
a]  12                     b] 15                   c] 30                    d] 36                 e]  None of these

3.     Ramrao cam claim Rs. 15 for each km which he travels by taxi and Rs. 5 for each km which he drives his own car.  If in one week he claimed Rs. 500 for travelling 80 km, then how many kilometers (kms) did he travel by taxi?
a]  10 Kms              b] 20 Kms            c] 30 Kms             d] 40 Kms          e]  None of these

4.     Rohit’s brother is 3 years senior to him.  His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born.  If his sister was 4 years of age when his brother was born.  What was the age of Rohit’s father and mother respectively when his brother was born?
a]  32 yrs., 23 yrs.   b]  32 yrs., 29 yrs. c] 35 yrs., 29 yrs.  d] 35 yrs., 33 yrs.e]  None of these

5.     Komal cut a cake into two halves and cuts one half into smaller pieces of equal size.  Each of small prices is 25 gms in weight.  If she has 9 pieces of the cake in all with her, how heavy was the original cake?
       a]  300 grams          b]  400 grams       c] 350 grams        d] 450 grams      e]  None of these.

6.     A bus starts from city A.  The numbers of women in the bus is half of the number of men. In the city B, 10 men leave the bus and five women enter.  Now, the number of men and women is equal.  In the beginning of the journey, how many passengers were in the bus? 
       a]  45                     b]  36                  c] 30                   d] 15                 e]  None of these.

7.     P, Q, R, S and T play a game of cards.  P says to Q, “If you give me 3 cards, you will have as many cards I originally had while if S takes 5 cards from you, he will have as many as T has.”  Also, P and T together also have the same number of cards as P and R taken together.  If they all together have 150 cards, then how many cards has R got?
       a]  28                     b]  29                  c] 31                   d] 35                 e]  None of these.

8.     Rohan is twice as old as Tejas.  Three years ago, he was three times as old as Tejas.  How old is Rohan now?
       a]  8 years              b] 10 years          c] 11 years           d] 12 years         e] None of these.

9.     The age of a father is twice that of the elder son.  Ten years hence, the age of the father will be three times the age of the younger son.  If the difference of the ages of the two sons is 15 years, then the age of the father is:
       a]  70 yrs.               b]  75 yrs.            c] 50 years           d] 60 years         e)  None of these.

10.   The number of girls in a class is three times the number of boys.  Whine one of the following numbers cannot represent the total number of children in the class?
       a]  40                     b]  42                  c] 44                   d] 48                 e]  None of these.

11.   A group of 1200 people consisting of captains and soldiers is travelling in a train.  For every 15 soldiers is travelling in a train.  For every 15 soldiers there is one captain.  The number of captains in the group is:
       a]  85                     b]  80                  c] 75                   d] 70                 e]  None of these.

12.   In a family, a couple has a son and a daughter.  The age of the father is three times that of his daughter and the age of the son is half of his mother.  The wife is 9 years younger to her husband and the brother is seven years older than his sister.  What is the age of the mother?
       a]  40 yrs.               b]  45 yrs.            c] 50 yrs.             d] 60 yrs.           e]  None of these.

DIRECTIONS for Questions 13 to 17: Refer to the data below and answer the questions that follow:

         

       

       

P = 60            R = 2P                   U = ½P         S= 2U

13.   How many people can read & write any one language except Spanish?
a]  210                   b]  150                c] 240                  d] 200                e]  180

14.   People who can read & write English, French & Spanish are represented by:
a]  Y                      b]  T                    c] Q                    d] X                  e]  None of these

15.   People who can read and write all the four languages can be represented by:
a]  Z                      b]  W                   c] Y                     d] X                  e)  None of these

16.   How many people known only Spanish?
a]  120                   b]  40                  c] 30                   d] 60                 e)  None of these

17.   Which of the following languages is known by the maximum number of people as per the diagram?
a]  Spanish only      b]  French only     c] English only      d] Russian only   e)  Either (A) or (C)

DIRECTIONS FOR QUESTIONS 18 TO 21: Refer to the data below and answer the questions that follow:

(i).   The rectangle represents govt. employees.
(ii)    The triangle represents urban people.

1. The circle represents graduates.
2. The square represents clerks

18.   Which of the following statements is true?
a]  All govt. employees are clerks.
b]  Some govt. employees are graduates as well as clerks.
c]  All govt. employees are graduates.
d]  All clerks are govt. employees but note graduates.
e]  None of these

19.   Choose the correct statement.
a]  Some clerks are govt. employees.
b] No clerk is from urban areas.
c]  All graduates are from urban areas.
d]  All graduates of govt. employees.  
e]  None of these

20.   Which of the following numbers represent urban govt. employees, who are graduates but not clerks?
a]  9                       b]  4                    c] 10                   d] 5                   e]  1

21.   Which number represents clerks, who are govt. employee but neither graduates nor live in urban areas?
a]  4                       b]  2                    c] 9                     d] 10                 e]  None of these. 

DIRECTIONS for questions 22 to 26:  Refer to the data below and answer the questions that follow:

Data on 450 candidates, who took an examination in Chemistry, Physics and Biology is given below:
Passed in all the subjects                                                      167
Failed in all the subjects                                                        69
Failed in Chemistry                                                                175
Failed in Physics                                                                  199
Failed in Biology                                                                   191
Passed in Chemistry only                                                       62
Passed in Physics only                                                          48
Passed in Biology only                                                          52

22.   How many failed in Chemistry only?
a]  15                     b]  21                  c]  30                   d] 42                 e]  None of these.

23.   How many failed in one subject only?
a]  152                   b]  144                c] 61                   d] 56                 e]  None of these.

24.   How many passed in Physics and at least one more subject?
a]  210                   b]  203                c] 170                  d] 94                 e]  None of these

25.   How many failed in exactly two subjects?
a]  56                     b]  61                  c] 152                  d] 162                e]  None of these

26.   How many passed at least in one subject?
a]  450                   b]  390                c] 304                  d] 167                e]  None of these.

DIRECTIONS for questions 27 to 31:  Study the following arrangement carefully and answer the questions given below:

2 4 8 5 6 b 1 3 @ 6 4 5 2 # 9 7 1 © 3 •

27.     How many pairs of numbers are there in the series highlighted in bold in the above arrangement each of which has as many numbers between them (in both forward and backward directions) as they have between them in the numerical series?
a]  One                   b]  Two                c] Three               d] Four              e]  Five.

28.     If all the symbols are dropped from the above arrangement, which of the following will be the twelfth from the right end of the above arrangement?
a]  2                       b]  5                    c] 3                     d] 7                   e]  None of these

29.      Which of the following digit/symbol is second to the right of the tenth from the left end?
a]  @                     b]  4                    c] 3                     d] 5                   e]  2

30      How many symbols are there in the above arrangement, each of which is immediately followed by a perfect square? (1 is also a perfect square.)
a]  One                   b]  Two                c] Three               d] Four              e]  FIve

31.      How many perfect squares are there in the above arrangement, each of which is immediately preceded by an even number? (1 is also a perfect square.)
a]  None                 b]  One                c] Two                 d] Three            
e]  More than three

Directions for questions 32 to 36: Study the following arrangement carefully and answer the questions given below:
           R D A K 5 B I 2 M J E N 9 7 U Z V 1 W 3 H 4 F Y 8 P 6 T G

32.      How many such numbers are there in the above arrangement, each of which is immediately preceded by a consonant and immediately followed by a vowel?
a]  None                 b]  One                c] Two                 d] Three            
e]  More than three

33.      Which of the following is the eighth to the left of the seventeenth from the left end?
a]  M                      b]  J                    c] 8                     d] 5                   e) None of these

34.      Four of the following five are alike in a certain way based on their positions in the above arrangement and so form a group. Which is the one that does not belong to that group?
           a) E 9 J                      b)   Z 1 U                  c)  H W 4                   d) Y 4 8                  e)   B 2 K

35.      Which of the following is the sixth to the right of the nineteenth from the right end?
           a)  5                           b) Z                                c)                          V  d) 1                    e) None of these

36.      How many such consonants are there in the above arrangement, each of which is immediately preceded by a number and immediately followed by another consonant?
           a) None                       b) One                       c) Two                       d) Three                  e) More than three

Answer:

1.     d   2.     b.   3.     a.   4.     b.  5.     b.  6.     a.   7.     d.   8.     b.  9. c   10. b.     11. d.     12. b.     13. a.     14. a.     15. a.     16. d.     17. c.     18. b.        19. a.     20. d.     21. e      22. a.     23. c.     24. b.     25. D.    26. b.     27. c.          28.     b.       29.     d.       30.     b.       31. c.  32.     a.       33. a.  34. e 35. c      36  d

IBPS REASONING PRACTICE QUESTIONS

Coding – Decoding

1.       If in a certain language, TRIANGLE is coded as SQHZMFKD, then which word would be coded as DWZLOKD?
a]  EXAMPLE             b]   DISMISS            c]  FIGMENT            d]  DISJOIN

2.       if PRATAP could be given the code number 161820116, then what code number can be given to NAVIN?
a]  73957614              b]   24639125           c]  14122914            d]  19274651

3.       Seven men : A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of different colour – violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue, but not violet. E can see violet and yellow, but not red. G can see caps of all the colours other than orange. If E is wearing an indigo coloured cap, then the colour of the cap worn by F is
a]  Blue                       b]   Violet                 c]  Red                      d]  Orange

4.       If ALTERED is written as ZOGVIVW, how good you write the word RELATED in the same code?
a]  VIOGZVW             b]   IVOZGWV          c]  VOIZGVW           d]  IVOZGVW

5.       If in a code language, ‘TUTORIAL’ is written as ‘DODNGLCF’ and ‘DANCE’ is written as ‘YCJMZ’, how can ‘EDUCATION’ be written in that code?
a]  ZYOTNLCMD        b]   ZYOMDCLNJ     c]  ZYOMCDLNJ       d]  ZYMODCLNJ

6.       If ‘BIRLA’ is written as ‘MYXTB’ in a code, how can ‘LIBRA’ be written in that code?
a]  TYMXB                 b]   TMXYB              c]  TBYMX               d]  TYMBX

7.       If ‘RUPA’ is written as ‘MNOP’ in a code, how can ‘PARU’ be written in that code?
a]  OPMN                    b]   POMN                c]  OPNM                  d]  PONM

8.       If ‘CLASS’ can be coded as ‘FODVV’, then ‘STUDENT’ can be coded as
a]  VWXGHQW           b]   VUXEHPU          c]  UVWEGOV          d]  UXWGHOU

9.       If in a code language, ‘MARBLE’ is written as ‘CNDFGO’ and ‘CENTURY’  is written as ‘BOPXYDL’, how can ‘MATURE’ be written in that code?
a]  CNXYDO               b]   NXYCOD            c]  CNXYOD             d]  CNXODY

10.     If in a code language ‘CAMELS’ is written as ‘XPOGTZ’ and ‘RABBITS’ is written as ‘YPUULFZ’, how can ‘S. AMERICA’ be written in that code?
a]  Z.POGYLAFX        b]   Z.OPGYLPX       c]  Z.POGLXPY         d]  Z.POGYLXP

11.     In a certain code, TEACHER is written as VGCEJGT. How is CHILDREN written in that code?
a]  E J K N F I T P                                       b]  E J K N F G T O
c]   E J K N E G T P                                     d]  None of these

12.     In a certain code  LIBERATE is written as 56423172. How TRIBAL will be written in this code?
a]  736415                  b]   673451               c]  476315                d]  743615

Directions (Q. 13-16) : In a code language, the following alphabets are coded in a particular way:

X	C	Y	O	M	G
	I	R	Q	V
8	4	1	6	2	0
	9	3	5	7

Which group of alphabets can be decoded from the following?

13.     608175
a]  OGXYCV               b]   OGXYMR           c]  OGXYVQ             d]  OXMRYI

14.     710926
a]  VYGIXC                b]   VYGIMV            c]  VYGIOM              d]  VYGIMO

15.     019278
a]  GYIMXV                b]   GYIMOQ            c]  GYIMVX              d]  GIQMXV

16.     450639
a]  CMYXOI                b]   CQGORI             c]  CQIRGO              d]  CYMOGI

17.     In a code language, the following alphabets are coded in a particular way:

V	U	N	L	J
E	A	T	K	P
1	5	8	6	3
4	7	2	9	0

          Which group of alphabets can be decoded from the following?
                        762539
a]  ALTJUK                 b]   ALTUKJ             c]  ALTVJK               d]  ALTUJK

18.     In a code language, the following alphabets are coded in a particular way:

P	N	C	Y	A
D	J	R	J	Q
2	7	5	1	6
8	4	3	9	0

          Which group of alphabets can be decoded from the following?
                        QAJYNR
a]  064713                  b]   064173               c]  064513                d]  061473

19.     If CONSCIOUSLY is written as PEBNPJEXNKM, then SOIL is written as
a]  NEKJ                     b]   NEJK                  c]  JENK                   d]  ENJK

20.     In a certain code language, ORGANISATION’ is written as ‘JMBFSNRBSJNO’. How is ‘PRODUCTIVITY’ written in that code?
a]  SJUJSZDTENSO                                     b]  DTENSOSJUJSZ
c]   DVEPSQSJUJSZ                                     d]  DTENSOUJWJUZ

21.     In a certain code, BEAM is written as ‘$  ×  ¸  +’ and ROAD is written as ‘#, –, ¸,  *’. How is DOME written in that code ?
a]  ¸  –  +                    b]   $  –  +  ×             c]  #  –  ¸  ×              d]  ¸  –  +  ×

Directions (Q. 22-26) : The group of letters in each of these questions is to be coded as per the numeric codes and the conditions given below:

Letters

:

M

D

E

J

R

I

P

H

A

Numeric Codes:

5

8

6

7

2

4

9

3

1

Conditions:
i]       If the last letter of the letter group is a vowel, then both the last and the first letters are to be coded as the number representing the vowel as the first letter.
ii]      If the first letter of the letter group is a vowel, then both the first and the last letters are to be coded as the number representing the consonant as the first letter.
iii]     It both the first and the last letters are vowels, then both these letters are to be coded as ‘0’.

Now based on the above, find out the coded form of the letter groups given in each of the questions 22 to 26.

22.     MEJHR
a]  96732                    b]   56734                 c]  56732                  d]  None of these

23.     PHAID
a]  03140                    b]   43144                 c]  93149                  d]  None of these

24.     IMDHP
a]  45834                    b]   95839                 c]  45839                  d]  None of these

25.     AJRPI
a]  17294                    b]   47294                 c]  17291                  d]  07290

26.     DRHMJ
a]  82357                    b]   42357                 c]  02350                  d]  None of these

27.     In a certain code OVER is written as ‘PWFSQ’ and ‘BARE’ is written as ‘CBSFD’. How is OPEN written in that code?
a]  PQFOM                  b]   NODMO             c]  PQFOO                 d]  POFMM

28.     In a certain code language ‘OMNIPRESENT’ is written as ‘QJONPTSMDRD’. How is ‘CREDIBILITY’ written in that code?
a]  JEFSDCXSHKH                                     b]  JEFSDDXSHKH  
c]   DSFEJDDXSHKH                                  d]  JEFSDDZUJMJ

29.     If ‘white’ is called ‘rain’, ‘rain’ is called ‘green’, ‘green’ is called ‘blue’, ‘blue’ is called ‘cloud’, ‘cloud’ is called ‘red’, ‘red’ is called ‘sky’, ‘sky’ is called ‘yellow’ and ‘yellow’ is called ‘black’, what is the colour of ‘blood’?
a]  Red                        b]   Blue                   c]  Cloud                   d]  Sky

30.     In a particular way of coding, the word CENRAL is coded as ABCDEFG and PLANETARIUM as HGFCBDFEIJK. With the same coding, how can we express the word LANTERN?
a]  GFCDFEG              b]   GFCDBEC          c]  GFCDEFG            d]  GFCDBEB

31.     In a certain language, ‘I like you’ is written as 123; ‘you love me and her’ is written as 34567; and ‘They are crazy’ is written as 890. How will you write, ‘You, they and I are crazy and love her’?
a]  386196047            b]   38160964           c]  381690647          d]  386190647

32.     In a certain, ‘BASIC’ is written as ‘DDULE’. How is ‘LEADER’ written in that code?
a]  NHCGGU               b]   OHDGHU           c]  NGCFGT              d]  OGDFHT

33.     In a certain code ‘VISHWANATHAN’ is written as ‘NAAWTHHSANIV’. How is ‘KARUNAKARANA’ written in that code?
a]  NKKRANKRAUK                                  b]  RURNKAAUNAK
c]   AKNUARRANKA                                  d]  KAANRAURANAAK

34.     In a certain code, ‘CONVENTIONAL’ is written as ‘NOCNEVOITLAN’. How is ‘ENTHRONEMENT’ written in that code?
a]  TNEROHEMNTNE       b]                       TNEORHMENTNE
c]   NTEROHEMNNTE       d]                       TNEROHEMNNTE

Directions (Q. 35-37) : According to a certain code: ‘min fin bin gin’ means ‘Trains are always late’  ‘gin din cin hin’ means ‘Drivers were always punished’. ‘bin cin vin rin’ means ‘Drivers stopped all trains’. ‘din kin fin vin’ means ‘All passengers were late’.

35.     Which word is represented by ‘vin’?
a]  Trains                    b]   Drivers               c]  Late                     d]  All

36.     ‘Drivers were late’ would be written as
a]  fin cin din              b]   min cin din         c]  fin din gin            d]  gin hin min

37.     ‘hin min kin’ would mean
a]  Always late trains                                  b]  All passenger trains
c]   Passengers are late                                     d]                         Passengers are punished

38.     In a certain code, ‘FORGET’ is written as ‘DPPHCU’. How would ‘DOCTOR’ be written in that code?
a]  BPAUMS                b]   BPAUPS             c]  EMDRPP              d]  BPARPP

39.     If LPPHGLDWH means IMMEDIATE, what does WRSVHFUHW stand for
a]  MARINATED         b]   STRONGEST      c]  TOPGRADED       d]  TOPSECRET

40.     In a certain code, PEAK is written as ‘3512’ and DINE is written as ‘6895’. How is KIND written in that code?
a]  2396                      b]   2986                   c]  2896                    d]  2596

41.     In a certain code, TERMINAL is written as SDQIJOBM. How is CREDIBLE written in that code?
a]  BQDCJCMF           b]   DSFEJCMF         c]  BQDCHAKD        d]  DSFEHAKD

42.     In a certain code, LABOUR is written as KBAPTS. How is CANDID written in that code?
a]  DBOEJE                 b]   DZOCJC             c]  BBMCHC            d]  BBMEHE

43.     In a certain code, ‘BELIEF’ is written as ‘AFKKDI’. How is ‘SELDOM’ written in that code?
a]  RDKCNL               b]   TFKENP             c]  RFKENM             d]  RFKFNP

44.     If ‘CERTAIN’ is coded as ‘XVIGZRM’, then how can ‘MUNDANE’ be coded in that language?
a]  NFMWZMX           b]   VMZWMFN        c]  NFMWZMV         d]  MFMXZMV

Directions (Q. 45-49) : Read the given statements and answer these questions:

45.     If ‘ROAD’ is ‘WTFI’, then ‘BEAT’ is
a]  URDG                    b]   TQCF                 c]  GJFY                    d]  UREG

46.     If ‘EFGHIJK’ are coded letters representing ‘VUTSRQP’ then the code for ‘GROUP’ is
a]  TILFK                    b]   TILEL                c]  TILGH                 d]  TFGFK

47.     If BAD is coded as 5-4-7, then the code for DARK is
a]  7-4-20-14               b]   7-4-21-3             c]  7-4-21-14             d]  7-4-20-13

48.     If CURTAIN is coded as NIATRUC, how will you code ‘FURNITURE’?
a]  TINRUFURE          b]   ERUTINRUF      c]  EUTRINRUF        d]  FERUTINRU

49.     If FOCUS : GPDVT, then LOTUS:
a]  MPUVT                  b]   MQUVT              c]  MQRSV                d]  SUTOL

50.     If BAD is coded as YZW and FIGHT is coded as URTSG. How will you encode HIGH?
a]  TRST                     b]   SRTS                  c]  STSR                    d]  TSRT

Answers:

1.       a     2.       c     3.      c     4.       d     5.       c     6.       a     7.      a     8.       a     9.       a          10.  d        11.  d       12.  a        13.  c        14.  d        15.  c        16.  b        17.  d        18.  b          19.  b        20.  b       21.  d        22.  c        23.  d        24.  d       25.  d        26.  a        27.  a          28.  b        29.  d       30.  b        31.  d        32.  a        33.  d       34.  b        35.  d        36.  a          37.  d        38.  a       39.  d        40.  c        41.  a        42.  d       43.  d        44.  c        45.  c          46.  a        47.  c        48.  b        49.  a        50.  b

IBPS QUANTITATIVE APTITUDE PRACTICE QUESTIONS

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
(a) 30 minutes
(b) 25 minutes
(c) 28 minutes
(d) 34 minutes

2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ?
(a) 4096
(b) 8192
(c) 512
(d) 1024

3. Find the number missing at question mark:
10, 11, 23, 39, 64, ?, 149
(a) 100
(b) 103
(c) 78
(d) 128

4. A super fast bus of KSRTC starting from ‘Trivandrum’ and reaches ‘Attingal’ in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance?
(a) 34 minutes
(b) 36 minutes
(c) 38 minutes
(d) 40 minutes

5. The difference between 6 times and 8 times of a figure is 14. What is the figure?
(a) 12
(b) 9
(c) 7
(d) 6

6. If 92y = 36 what is 9y?
(a) 4
(b) 6
(c) 9
(d) 18

7. One fourth percent of 180 is:
(a) 4.5
(b) 0.45
(c) 0.045
(d) 45

8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
(a) 100
(b) 200
(c) 180
(d) 150

9. Find the missing number 32, 52, 74, 112, 135 ……………
(a) 16
(b) 15
(c) 17
(d) 14

10. If 250 is increased to 300, what is the percentage increase?
(a) 16.67
(b) 20
(c) 23
(d) 17

11. The ratio of 9 seconds to 10 hours is ………….
(a) 1:40
(b) 1:4000
(c) 9:10
(d) 1:400

12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%?
(a) 204
(b) 250
(c) 240
(d) 210

13. What will be xy if 7862xy is to be divisible by 125?
(a) 25
(b) 00
(c) 75
(d) 50

14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long?
(a) 30 seconds
(b) 36 seconds
(c) 20 seconds
(d) 18 seconds

15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be …….
(a) 90 seconds
(b) 70 seconds
(c) 60 seconds
(d) 100 seconds

16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams?
(a) Rs. 30
(b) Rs. 24
(c) Rs. 36
(d) Rs. 40

17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work?
(a) 5
(b) 8
(c) 10
(d) 6

18. Find the sum of first 100 natural numbers
(a) 5050
(b) 5005
(c) 9900
(d) 9050

19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
(a) 12m
(b) 5m
(c) 13m
(d) 11m

20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm?
(a) 4
(b) 8
(c) 16
(d) 2

21. The solution to x2 +6x+9 = 0 is ……..
(a) x1 = + 3, x2 = -3
(b) x1 = 3, x2 = 3
(c) x1 = -3, x2 = -3
(d) No solution

22. What is the chance of getting a 2 or 4 in rolling a die?
(a) 2/3
(b) 1/6
(c) 1/3
(d) 1/2

23. At what rate of simple interest per annum an amount will be doubled in 10 years?
(a) 10%
(b) 7.5%
(c) 16%
(d) 15%

24. Five times an unknown number is 5 less than 50. The unknown number
(a) 10
(b) 11
(c) 9
(d) 5

25. The acute angle between the hour hand and minute hand of a clock at 4 PM
(a) 900
(b) 1200
(c) 1500
(d) 2400

26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in
(a) 20 minute
(b) 25 minutes
(c) 7 minutes 30 seconds
(d) 10 minutes

27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats
(a) 1 minutes
(b) 10 minute
(c) 100 minutes
(d) 10000 minutes

28. If 75 % of a number is added to 75, the result is the number itself, then the number is:
(a) 250
(b) 750
(c) 400
(d) 300

29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them?
(a) 6 days
(b) 7 days
(c) 10 days
(d) 8 days

30. The sum of two consecutive numbers is 55, which is the largest number?
(a) 25
(b) 28
(c) 26
(d) 27

31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
(a) 33 1/8 %
(b) 66 2/3 %
(c) 25 %
(d) 50 %

32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
(a) 7,200m2
(b) 15,000m2
(c) 54,000m2
(d) 13,500m2

33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number?
(a) 1.5
(b) 1.0
(c) 2.5
(d) 2.0

34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks?
(a) 400
(b) 500
(c) 475
(d) 450

35. The circumcentre of an obtuse triangle will always be in the
(a) Interior of the triangle
(b) Midpoint of the diameter
(c) Exterior of the triangle
(d) Midpoint of the side of the triangle

36. What is the degree measure of a semicircle?
(a) 360
(b) 90
(c) 270
(d) 180

37. Which among the following is the point of intersection of the medians of a triangle?
(a) Circumcentre
(b) Centroid
(c) Orthocenter
(d) Incentre

38. The height of a cone and its base diameter are equal. If the base radius is ‘r’ what is its slant height?
(a) 3r
(b) 4r
(c) ?5r
(d) ?3r

39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?
(a) 4:9
(b) 2:3
(c) 8:27
(d) 4:6

40. What is the common ratio of the progression 3?2, 6, 6?2 ?
(a) 3
(b) 2
(c) ?2
(d) ?3

41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
(a) 25
(b) 30
(c) 50
(d) 45

42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream?
(a) 3 km/hr
(b) 4 km/hr
(c) 4.5 km/hr
(d) 5 km/hr

43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer?
(a) 20
(b) 26
(c) 30
(d) 32

44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.
(a) 48 sq.cm
(b) 34 sq.cm
(c) 24 sq.cm
(d) 42 sq.cm

45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ……
(a) 81
(b) 69
(c) 63
(d) 57

46. A number consists of 20 plus 20% of its value. The number is:
(a) 20
(b) 22
(c) 25
(d) 30

47. 20% of 5 + 5% of 20 =
(a) 5
(b) 2
(c) 6
(d) 21

48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30
(a) 800
(b) 600
(c) 1050
(d) 750

49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?
(a) 306
(b) 765
(c) 700
(d) 510

50. The sum of four consecutive counting numbers is 154. Find the smallest number:
(a) 36
(b) 37
(c) 38
(d) 31

Answers
1 A 11 B 21 C 31 D 41 A
2 B 12 A 22 B 32 D 42 A
3 A 13 D 23 A 33 B 43 B
4 B 14 D 24 C 34 D 44 C
5 C 15 A 25 B 35 C 45 A
6 B 16 C 26 A 36 D 46 C
7 C 17 D 27 B 37 B 47 B
8 D 18 A 28 D 38 C 48 D
9 C 19 C 29 C 39 C 49 B
10 B 20 B 30 B 40 C 50 B

IBPS QUANTITATIVE APTITUDE PRACTICE QUESTIONS

Time & Work

1.       A contractor employs 20 men to complete a job in 10 days, but find it half finished after 6 days. How many additional men will have to be engaged to complete the job in time?
a]  9                            b]   8                         c]  12                        d]  10

2.       In a day A does twice as much work as B does. If A takes 60 days less than the time B takes to complete the work, they together will complete the work in
a]  30 days                  b]   40 days              c]  45 days                d]  50 days

3.       2 men and 5 boys together can finish the work in four days. While 3 men and 6 boys can finish it in three days, find the time taken by one boy alone to finish the work.
a]  46 days                  b]   35 days              c]  45 days                d]  36 days

4.       Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
a]  648                        b]   1800                   c]  2700                    d]  Sten 10,800

5.       Machine A produces bolts at a uniform rate of 120 every 40 seconds, and machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take them to produce a total of 200 bolts?
a]  22                          b]   125                     c]  28                        d]  32

6.       30 men can produce 1500 units in 24 days working 6 hours a day. In how many days, can 18 men produce 1800 units working 8 hours a day?
a]  36 days                  b]   45 days              c]  18 days                d]  None of these

7.       In a factory, machines A and B produce 8000 clips in 4 and 6 hours respectively. If they work alternatively for 1 hour, A starting first, then 8000 clips will be produced in
a]  4  hours              b]   4  hours           c]  5  hours            d]  5  hours

8.       A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then in what time could B alone do it?
a]  25 days                  b]   50 days              c]  30 days                d]  40 days

9.       Bina can do a piece of work in 20 days. Sita is 25% more efficient than Bina. The number of days taken by Sita to do the same piece of work is
a]  25                          b]   18                       c]  16                        d]  15

10.     If 6 men can do a piece of work in 20 days and one man can do the work of two boys, then in how many days can 10 men and 5 boys do the same work?
a]  8 days                    b]   10 days              c]  12 days                d]  None of these

11.     X can do a piece of work in 40 days. He works at it for 8 days and the Y finished it in 16 days. How long will they together take to complete the work?
a]  20 days                  b]   15 days              c]  56 days                d]   days

12.     Ajay and Vijay can together paint their house in 30 days. After working for 20 days, Ajay has to go out and Viajy finishes the remaining work in the next 30 days. If Vijay had gone away after 20 days would have completed the remaining work in
a]  15 days                  b]   20 days              c]  25 days                d]  35 days

13.     30 men can produce 1500 units in 24 days working 6 hours a day. In how many days can 18 men produce 1800 units working 8 hours a day?
a]  36 days                  b]   45 days              c]  18 days                d]  None of these

14.     Terry is twice as good workman as Sumit. Terry finished a piece of work in 3 hours less than Sumit. In how many hours could they have finished that piece of work working together?
a]  2  hr.                   b]   4 hr.                   c]  2 hr.                     d]  6 hr.

15.     A can do a work in 9 days. If B is 50% more efficient to A, then in how many days can B do the same work?
a]  13.5                       b]   4.5                      c]  6                          d]  3

16.     Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in.
a]  6 days                    b]   4 days                c]  12 days                d]  3 days

17.     If 50 men can do a piece of work in 12 days. Working 8 hours a day, how many hours a day would 60 men have to work, in order to do another piece of work twiceas great in 16 days?
a]  10 hours                 b]   9 hours               c]  8 hours                 d]  9  hours

18.     A can do a piece of work in 10 days, while B can do the same in 30 days and C in 60 days. If A is assisted by B and C respectively on alternate days, then find the number of days in which the work will be finished.
a]  2 days                    b]   4 days                c]  8 days                  d]  6 days

19.     If 10 men, 8 women and 6 boys can complete a piece of work in 25 days, for how many days will 19 men, 20 women asnd 30 boys be occupied in a work three times as big if the amount of work of a man, a woman and a boy are 5 : 3 : 2.
a]  28 days                  b]   30 days              c]  32 days                d]  35 days

20.     A customer asks for the porduction of x number of goods. The company produces number of goods daily out of which z% are unfit for sale. The order will be completed in:
a]   days          b]    days  c]   days          d]   days

21.     If A and B work together, they can finish a certain job in three days. B and C together can finish the same job in six days whereas, A and C together can finish the sam job in eight days. If three of them work on the job together, how many days will they take to finish that job?
a]  More than three days                             b]  Less than three days
c]   More than four days                              d]  None of these

22.     Dinesh and Ramesh can indepedently complete a piece of work in 80 and 120 minutes respectively. If they work together, how much time will they take to complete the work?
a]  24 minutes             b]   100 minutes       c]  48 minutes           d]  200 minutes

23.     3 men and 4 women can earn Rs.3780 in 7 days. 11 men and 13 women can earn Rs.15040 in 8 days. In what time, will 7 men and 9 women earn Rs.12400?
a]  15 days                  b]   10 days              c]  20 days                d]  18 days

24.     ‘A’ and ‘B’ together can complete a work in 12 days. ‘A’ alone can complete it in 20 days. If ‘B’ now does the work only for half a day daily, then in how many days ‘A’ and ‘B’ together will complete the work?
a]  15 days                  b]   11 days              c]  20 days                d]  10 days

25.     64 persons can dig a trench 50m long, 2m wide and 2m deep in 5 days, working 12 hours daily. In how many days, working 8 hours daily, will 80 persons dig another trench 75m long, 4m wide and 3m deep?
a]  20 days                  b]   22 days              c]  27 days                d]  30 days

Answers:

1.       d     2.       b     3.       d     4.       b     5.       b     6.       a     7.       b     8.       a     9.       c      10.  d        11.  d        12.  a        13.  d        14.  c        15.  c        16.  d        17.  a        18.  c   19.        b          20.        d          21.        d       22.     c       23.      b      24.     a        25.        c