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
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
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
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
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.
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.
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.
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.
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.
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.
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.
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.
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
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
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
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
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)
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.
(ii) The triangle represents urban people.
- The circle represents graduates.
- 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
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
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
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.
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
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.
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.
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
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
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.
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.
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
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
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
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
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
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
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
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
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
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
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
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