Aptitude and Reasoning Questions

Q:

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

A) 2 : 5 B) 1 : 5
C) 2 : 3 D) 2 : 1
 
Answer & Explanation Answer: A) 2 : 5

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 1447
Q:

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

A) 34 B) 36
C) 30 D) 40
 
Answer & Explanation Answer: D) 40

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams , CAT

5 920
Q:

Wheat costing Rs 30/kg, Rs 35/kg and a third variety of wheat are mixed in the ratio of 3 : 4 : 2. If the mixture is costs Rs 34/kg, then what will be the cost (in Rs/kg) of the third variety of wheat?

 

A) 46 B) 42
C) 32 D) 38
 
Answer & Explanation Answer: D) 38

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 788
Q:

In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?

 

A) 21 B) 25
C) 60 D) 36
 
Answer & Explanation Answer: C) 60

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 574
Q:

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A) 3:5 B) 2:1
C) 16:15 D) 4:5
 
Answer & Explanation Answer: C) 16:15

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96/9 = Rs.32/3

For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10.

Ratio of investments =(32/3) : 10 = 32 : 30 = 16 : 15.

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Filed Under: Stocks and Shares

5 10845
Q:

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A) 8.5% B) 7.5%
C) 8% D) 9%
 
Answer & Explanation Answer: C) 8%

Explanation:

By investing Rs. 1552, income = Rs. 128.

 

By investing Rs. 97, income =Rs.1281552×97= Rs. 8.

 

Dividend = 8%

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Filed Under: Stocks and Shares

5 13211
Q:

A man buys Rs. 25 shares in company which pays 9 % dividend. The money invested is such that it gives 10 % on investment. At what price did he buy the shares?

A) 22.50 B) 22
C) 20.45 D) 12.50
 
Answer & Explanation Answer: A) 22.50

Explanation:

Suppose he buys each share for Rs. x.

 

Then, Rs.25*9100=x*1010 or x = Rs. 22.50.

 

Cost of each share = Rs. 22.50.

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Filed Under: Stocks and Shares

5 9020
Q:

A bill for Rs. 6000 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker's discount, true discount, banker's gain and the money that the holder of the bill receives.

A) 4390 B) 6580
C) 5880 D) 5350
 
Answer & Explanation Answer: C) 5880

Explanation:

Face value of the bill = Rs. 6000.

Date on which the bill was drawn = July 14 at 5 months. Nominally due date =                  December 14.

Legally due date = December 17.

Date on which the bill was discounted = October 5.

Unexpired time  : Oct.               Nov.                Dec.

                                 26  +               30  +              17     = 73 days  =1/ 5Years

 

 B.D. = S.I. on Rs. 6000 for 1/5 year

= Rs.   (6000 x 10 x1/5 x1/100)= Rs. 120.

T.D. = Rs.[(6000 x 10 x1/5)/(100+(10*1/5))]

            =Rs.(12000/102)=Rs. 117.64.

B.G. = (B.D.) - (T.D.) = Rs. (120 - 117.64) = Rs. 2.36.

Money received by the holder of the bill = Rs. (6000 - 120) = Rs. 5880.

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Filed Under: Banker's Discount

5 7515