Arithmetic Reasoning

Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
[A].

20 m

[B].

22 m

[C].

24 m

[D].

26 m

Answer: Option C

Explanation:

Each row contains 12 plants.

There are 11 gapes between the two corner trees (11 x 2) metres and 1 metre on each side is left.

Therefore Length = (22 + 2) m = 24 m.

Question: A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
[A].

1000

[B].

1074

[C].

1075

[D].

1080

Answer: Option B

Explanation:

No. of digits in 1-digit page nos. = 1×9 = 9.

No. of digits in 2-digit page nos. = 2 x 90 = 180.

No. of digits in 3-digit page nos. = 3 x 900 = 2700.

No. of digits in 4-digit page nos. = 3189 – (9 + 180 + 2700) = 3189 – 2889 = 300.

Therefore No. of pages with 4-digit page nos. = (300/4) = 75.

Hence, total number of pages = (999 + 75) = 1074.

Question: A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
[A].

2

[B].

3

[C].

4

[D].

Data inadequate

Answer: Option C

Explanation:

Question: A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
[A].

4

[B].

8

[C].

12

[D].

24

Answer: Option D

Explanation:

Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

Question: 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

Answer: Option B

Explanation:

Since the number of carbons is 2, only two copies can be obtained.

Question: 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 ?
[A].

12

[B].

16

[C].

18

[D].

24

Answer: Option B

Explanation:

Suppose the boy got x sums right and 2x sums wrong.

Then, x + 2x = 48 3x = 48 x = 16.

Question: 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 ?
[A].

20

[B].

45

[C].

55

[D].

90

Answer: Option B

Explanation:

Clearly, total number of handshakes = (9+ 8 + 7 + 6 + 5 + 4 + 3 + 2+1) = 45.

Question: First bunch of bananas has (1/4) 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 is
[A].

9

[B].

10

[C].

12

[D].

15

Answer: Option D

Explanation:

Question: 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 ?
[A].

120 grams

[B].

140 grams

[C].

240 grams

[D].

280 grams

Answer: Option C

Explanation:

The seven pieces consist of 6 smaller equal pieces and one half cake piece.

Weight of each small piece = 20 g.

So, total weight of the cake = [2 x (20 x6)]g= 240 g.

Question: 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
[A].

85

[B].

80

[C].

75

[D].

70

Answer: Option C

Explanation:

Clearly, out of every 16 persons, there is one captain. So, number of captains (1200/16) = 75.