1000+ U.S.Bancorp Aptitude Questions and Answers Pdf - 1

Question: 1

If Rs.1066 are divided among A, B, C and D such that A : B = 3 : 4, B : C = 5 : 6 and C : D = 7 : 5, who will get the maximum?

(A) A

(B) B

(C) C

(D) D

Ans: C

A : B = 3 : 4, B : C = 5 : 6 = $$(5 × {4}/{5})$$ : $$(6 × {4}/{5})$$ = $$4 : {24}/{5}$$,

C : D = 7 : 5 = $$(7 × {24}/{35})$$ : $$(5 × {24}/{35})$$ = $${24/5} : {24/7}$$.

∴ A : B : C : D = $$3 : 4 : {24/5} : {24/7}$$ = 105 : 140 : 168 : 120.

Clearly, C will get the maximum.

Question: 2

Given that 24 carat gold is pure gold; 18 carat gold is $${3}/{4}$$ gold and 20 carat gold is $${5}/{6}$$ gold, the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is

(A) 5 : 8

(B) 8 : 5

(C) 9 : 10

(D) 15 : 22

Ans: C

Required ratio = $${3/4}x : {5/6}x$$ = $${3/4} : {5/6}$$ = 9 : 10.

Question: 3

A sum of Rs.6400 is divided among three workers in the ratio $${3}/{5}$$ : 2 : $${5}/{3}$$. The share (in rupees) of the second worker is

(A) 2560

(B) 2760

(C) 3000

(D) 3200

Ans: C

Ratio of shares = $${3/5} : 2: {5/3}$$ = 9 : 30 : 25.

Second worker’s share = Rs. $$(6400 × {30}/{64})$$ = Rs.3000.

Question: 4

A sum of Rs.1250, is divided among A, B, C so that A gets $${2}/{9}$$ of B’s share and C gets $${3}/{4}$$ of A’s share. The share of C is

(A) Rs.75

(B) Rs.150

(C) Rs.275

(D) Rs.325

Ans: B

A = $${2}/{9}$$B, C = $${3}/{4}$$A = $$({3/4} × {2/9})$$B = $${1}/{6}$$B

A : B : C = $${2}/{9}$$B : B : $${1}/{6}$$B = 4 : 18 : 3.

C’s share = Rs.$$(1250 × {3}/{25})$$ = Rs. 150.

Question: 5

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 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.

Related Questions