# Arithmetical Reasoning Practice Questions

Now that we have seen the arithmetical reasoning section, it is time to check our knowledge. The following section has all the Arithmetical Reasoning Practice Question types for you. Let us begin.

## Arithmetical Reasoning Practice Questions

### Calculation-Based Problems

Q 1: 1. In a chess tournament, each of six players will play every other player exactly once. How many matches will be played during the tournament?                 (C.B.L 1995)

(a) 12         (b) 15                 (c) 30               (d) 36

Q 2: A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over, if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?

(a) 106       (b) 301              (c) 309             (d) 400

Q 3: A, B, C, and D play a game of cards. A says to B, u I f I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also, if I take 6 cards from C, I shall have twice as many as D has.” If B and D together have 50 cards, how many cards have A got? (Hotel Management, 1997)

(a) 40           (b) 37               (c) 27              (d) 23

Q 4: In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is?
(a) 5              (b) 7                  (c) 10             (d) 12

Q 5: A worker may 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 how many kms did he travel by taxi?
(a) 10           (b) 20                (c) 30             (d) 40

Q1: (b), Q2: (b), Q3: (a), Q4: (b), Q5: (a).

### Data-Based Questions

Q 1: The following questions are based on the given data for an examination.

(A) Candidates appeared                                             10500

(B) Passed in all the five subjects                               5685

(C) Passed in three subjects only                                1498

(D) Passed in two subjects only                                  1250

(E) Passed in one subject only                                      835

(F) Failed in English only                                                 78

(G) Failed in Maths only                                                 275

(H) Failed in Physics only                                              149

(I) Failed in Chemistry only                                          147

(J) Failed in Biology only                                               221

Q 1: How many candidates failed in all the subjects?

(a) 4815               (b) 3317                (c) 2867                  (d) 362

Q 2: How many candidates passed at least in four subjects?

(a) 6555               (b) 5685               (c) 1705                   (d) 870

Q 3: How many candidates failed because of having failed in four or fewer subjects?

(a) 4815              (b) 4453                (c) 3618                   (d) 2368

Q1: (d), Q2: (a), Q3: (b)

### Problems On Ages

Q 1: Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now?                                                              (I. Tax & Central Excise, 1995)

(a) 6 years          (b) 7 years             (c) 8 years                (d) 12 years

Q 2: The age of a father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, the age of the father is?

(a) 50 years       (b) 55 years            (c) 60 years             (d) 70 years

Q1: (d), Q2: (a)

### Miscellaneous Problems

Q 1: A shepherd had 17 sheep. All but nine died. How many was he left with?

(a) Nil          (b) 8          (c) 9               (d) 17                         (Railways, 1995)

Q 2: A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all docks but six. How many birds had he in all?

(a) 9             (b) 18        (c) 27             (d) 36

Q 3: What is the smallest number of ducks that could swim in this formation — two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?

(a) 3              (b) 5          (c) 7              (d) 9

Q 4: A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers, there is one captain. The number of captains in the group is     (Hotel Management, 1992)

(a) 85            (b) 80        (c) 75            (d) 70

Q 5: Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake? (L.I.C. 1994)

(a) 120 grams             (b) 140 grams             (c) 240 grams            (d) 280 grams                  (e) None of these

Q 6: First bunch of bananas has again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are (S.C.ILA. 1996)

(a) 9               (b) 10              (c) 12                      (d) 15

Q 7: At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether? (M.B.A- 1997)

(a) 20             (b) 45            (c) 55                   (d) 90

Q 8: A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly? (M.B.A. 1994)

(a) 12              (b) 16               (c) 24                 (d) 18

Q 9: The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class? (S.C.RA. 1993)

(a) 48            (b) 44               (c) 42                   (d) 40

Q 10: A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?

(a) 1             (b) 2                   (c) 3                   (d) 4

Q1: (c), Q2: (a), Q3: (a), Q4: (c), Q5: (c), Q6: (d), Q7: (b), Q8: (b), Q9: (c), Q10: (b).

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### One response to “Data Relations”

1. Manash Medhi says:

The answer to the question on apples and oranges is wrong. Apart from this there are a lot of mistakes in the whole syllabus. Please correct them