100+ Aptitude Questions for Placements with Solutions Pdf - 1

Question: 1

If a : b : c = 2 : 3 : 4, then $${1}/{a} : {1}/{b} : {1}/{c}$$ is equal to

(A) 2 : 3 : 4

(B) 4 : 3 : 2

(C) 5 : 3 : 2

(D) 6 : 4 : 3

Ans: D

a : b : c = 2 : 3 : 4 ⇒ $${1}/{a} : {1}/{b} : {1}/{c}$$ = $${1}/{2} : {1}/{3} : {1}/{4}$$ = 6 : 4 : 3.

Question: 2

If $${a + b} / {c}$$ = $${b + c} /{a}$$ = $${c + a} /{b}$$ = k, then k is equal to

(A) 0

(B) 1

(C) 2

(D) 3

Ans: C

a + b = ck, b + c = ak, c+ a = bk.

Adding, we get : 2(a+ b + c) = ak + bk + ck

= k(a+b+c) or k = 2.

Question: 3

In an innings of a cricket match, three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was

(A) 161

(B) 171

(C) 181

(D) 191

Ans: B

A : B = 3 : 2, B : C = 3 : 2 = $$(3 × {2}/{3})$$ : $$(2 × {2}/{3})$$ = $$2 : {4}/{3}$$.

A : B : C = 3 : 2 : $${4}/{3}$$ = 9 : 6 : 4.

∴ A’s score = $$(361 × {9}/{19})$$ = 171.

Question: 4

The fourth proportional to 5, 8, 15 is

(A) 18

(B) 20

(C) 24

(D) 26

Ans: C

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : : 15 : x

⇒ 5x = 8 × 15

⇒ x = $${8 × 15}/{5}$$ = 24.

Question: 5

If a : b = 3 : 4, b : c = 4 : 7, then $${a + b + c} /{c}$$ is equal to

(A) 1

(B) 2

(C) 3

(D) 4

Ans: B/p>

a : b = 3 : 4, b : c = 4 : 7 ⇔ a : b : c = 3 : 4: 7.

Let a = 3k, b= 4k, c = 7k.

Then, $${a + b + c} / {c}$$ = $${3k + 4k + 7k} / {7k}$$ = $${14k} / {7k}$$ = 2.

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