# 100+ Simplification Aptitude Questions and Answers - 1

Question: 1

On sports day, if 30 children were made to stand in a column, then 16 columns could be formed. If 24 children were made to stand in a column, then how many columns could be formed?

(A) 18

(B) 20

(C) 22

(D) 24

Ans: B

Total number of children = $$(30 × 16)$$ = 480.

∴ Number of columns of 24 children each = = $$({480} / {24})$$ = 20.

Question: 2

Along a yard 225 metres long, 26 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees?

(A) 7 metres

(B) 8 metres

(C) 9 metres

(D) 10 metres

Ans: C

26 trees have 25 gaps between them.

Hence, Required distance = $$( {225} / {25})$$ m = 9 m.

Question: 3

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) 18 m

(B) 20 m

(C) 22 m

(D) 24 m

Ans: C

Each row contain 12 plants.

Leaving 2 corner plants, 10 plants in between have (10 × 2) metres and 1 metre on each side is left.

∴ Length = (20 + 2) m = 22 m.

Question: 4

A worker may claim Rs.150 for each km which he travels by taxi and 50 p for each km he drives his own car. If in one week he claimed Rs.50 for travelling 80 km, how many kms did he travel by taxi?

(A) 5

(B) 10

(C) 20

(D) 25

Ans: B

Let the distance covered by taxi be x km.

Then, distance covered by car = (80 - x) km.

∴ 1.5x + 0.5 (80 – x) = 50

∴ x = 50 – 40 = 10 km.

Question: 5

How many pieces of 85 cm length can be cut from a rod 42.5 metres long?

(A) 20

(B) 30

(C) 40

(D) 50

Ans: D

Number of pieces = $$({42.5 × 100} / {85}) = 4250 / 85$$ = 50.

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