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
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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