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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A person bought pens at 25 for a rupee and sold at 15 for a rupee. What is his profit percentage?

A) 16 2/3 B) 33 1/3
C) 40 D) 66.6
 
Answer & Explanation Answer: D) 66.6

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

A) 1 : 4 : 8 B) 1 : 3 : 5
C) 1 : 3 : 9 D) 1 : 6 : 12
 
Answer & Explanation Answer: B) 1 : 3 : 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If cotA + cotB = x, then value of x is

A) (cotAcotB + 1)/(cotB - cotA) B) (cotAcotB + 1)/(cotB + cotA)
C) (cotAcotB - 1)/(cotB + cotA) D) (cotAcotB - 1)/(cotB - cotA)
 
Answer & Explanation Answer: C) (cotAcotB - 1)/(cotB + cotA)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

= k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l2 = 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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Q:

If the true discount on sum due 2 years hence at 14% per annum be Rs. 168, the sum due is

A) Rs. 600 B) Rs. 768
C) Rs. 878 D) Rs. 668
 
Answer & Explanation Answer: B) Rs. 768

Explanation:

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

 

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.

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Filed Under: True Discount
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Q:

I gain 19% if I sell an article for Rs. 595. What would be my gain or loss percentage if I sell it for Rs. 475?

A) Gain 5% B) Loss 5%
C) Loss 10% D) Gain 10%
 
Answer & Explanation Answer: B) Loss 5%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Two pipes, when working one at a time, can fill a cistern in 3 hhrs and 4 hrs, resp while a third pipe can drain the cistern empty in 8 hrs. All the three pipes were opened together when the cistern was 1/12 full. How long did it take for the cistern to be completely full?

A) 2 hrs B) 1 hr 45 min
C) 2 hr 10 min D) 2 hr 11 min
 
Answer & Explanation Answer: A) 2 hrs

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

In how many different ways can the letters of the word 'RITUAL' be arranged?

A) 720 B) 5040
C) 360 D) 180
 
Answer & Explanation Answer: A) 720

Explanation:

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

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Filed Under: Permutations and Combinations
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