Quantitative Aptitude - Arithmetic Ability Questions

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250 B) Rs. 600
C) Rs. 900 D) Rs. 1500
 
Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

6 - 56 + 5 88100 x 7500 + 12100 x 7500= 111 x 88 x 75  + 12 x 75= 600 + 900= 1500

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8 6665
Q:

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ?

A) Rs. 8840 B) Rs. 8800
C) Rs. 8810 D) None
 
Answer & Explanation Answer: D) None

Explanation:

Amount = 80001+51002

 

= 8000 x 21/20 x 21/20 

 

= Rs. 8820

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Filed Under: Compound Interest
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Q:

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is

A) Rs.2 B) Rs.3
C) Rs.4 D) Rs.5
 
Answer & Explanation Answer: B) Rs.3

Explanation:

S.I. = Rs.(1200*10*1)/100=rs.120

C.I. =rs[1200*(1+5/100)2-1200]=rs.123

Difference = Rs.(123-120) =Rs.3

 

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Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564 B) 1600
C) 1632 D) 1714
 
Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = 75100 x P = 3P4

M's share = 54 x 3P4 = 15P16

15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600 

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Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400 B) 525
C) 325 D) 475
 
Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

 => 40x + 34x + 10400 = 100x

 => 26x = 10400

 => x = 400.

 Hence, total pages in the book are 400.

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Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58 B) 60
C) 55 D) 45
 
Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2 

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Q:

What time does the mirror image of an analog clock at 5'O clock show?

A) 12 :00 B) 5 :00
C) 7 :00 D) 6 :00
 
Answer & Explanation Answer: C) 7 :00

Explanation:
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Q:

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A) 42.2 mts B) 33.45 mts
C) 66.6 mts D) 58.78 mts
 
Answer & Explanation Answer: C) 66.6 mts

Explanation:

ht1488353450.jpg image

From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

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