1000+ National Bank Aptitude Questions and Answers Pdf - 1

Question: 1

Divide Rs.671 among A, B and C such that if their shares be increased by Rs.3, Rs.7 and Rs.9 respectively the remainder shall be in the ratio 1 : 2 : 3.

(A) Rs.105, Rs.223, Rs.330

(B) Rs.110, Rs.220, Rs.336

(C) Rs. 112, Rs.223, Rs.336

(D) None of these

Ans: C

Remainder = Rs.[671 + (3 + 7 + 9)] = Rs.690.

A’s share = Rs.$$[(690 × {1}/{6}) - 3]$$ = Rs.112.

B’s share = Rs.$$[(690 × {2}/{6}) - 7]$$ = Rs.223.

C’s share = Rs.$$[(690 × {3}/{6}) - 9]$$ = Rs.336.

Question: 2

What number has to be added to the terms of 3 : 5 to make the ratio 5 : 6?

(A) 7

(B) 8

(C) 9

(D) 10

Ans: A

Let the number to be added be x.

Then, $${3 + x} / {5 + x}$$ = $${5}/{6}$$ ⇒ 6(3 + x) = 5(5 + x)

⇒ 18 + 6x = 25 + 5x ⇒ x = 7.

Question: 3

A and B ae two alloys of gold and copper prepared by mixing metal in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, then the ratio of gold and copper in alloy C will be

(A) 5 : 7

(B) 5 : 9

(C) 6 : 9

(D) 7 : 5

Ans: D

Gold in C = $$({7/9} + {7/18})$$ units = $${7}/{6}$$units.

Copper in C = $$({2/9} + {11 /18})$$ units = $${5}/{6}$$units.

∴ Gold : Copper = $${7/6} : {5/6}$$ = 7 : 5.

Question: 4

A company blends two varieties of tea from two different tea gardens, one variety costing Rs.20 per kg and the other be R.25 per kg in the ratio 5 : 4. He sells the blended tea at R.23 per kg. Find his profit or loss percent.

(A) no profit, no loss

(B) profit of 3.5%

(C) profit of 5%

(D) loss of 5%

Ans: B

Let 5 kg of the first variety be mixed with 4 kg of second variety.

Then, C.P. of 9 kg of tea = Rs. (20 × 5 + 25 × 4) = Rs.200.

S.P. of 9 kg of tea = Rs.(23 × 9) = Rs.207.

Profit = Rs.(207 - 200) = Rs. 7.

∴ Profit % = $$({7}/{200} × 100)%$$ = 3.5%.

Question: 5

Smita work in her office for 6 hour and Kajal works in her office for 7 hour 30 minutes. Find the ratio of their working hour.

(A) 2 : 3

(B) 3 : 5

(C) 4 : 5

(D) 5 : 6

Ans: C

Working hour of Smita = 6 hours.

Working hour of Kajal = 7 hours 30 minutes = $$1{1}/{2}$$hours.

Required ratio = $$6 : 7{1}/{2}$$ = $$6 : {15}/{2}$$ = 12 : 15 = 4 : 5.

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