Quantitative Aptitude - Arithmetic Ability Questions

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.

= l= 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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0 2680
Q:

How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

A) 3675 B) 4018
C) 4021 D) 4025
 
Answer & Explanation Answer: D) 4025

Explanation:
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Filed Under: Simplification
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1 2679
Q:

Which instrument is used for viewing the sun?

A) Stroboscope B) Telescope
C) Helioscope D) Sun meter
 
Answer & Explanation Answer: C) Helioscope

Explanation:
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Filed Under: Problems on Numbers
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1 2679
Q:

In the given figure, O is centere of the circle. Circle has 3 tangents. If angle QPR = 45 deg, then what is the value (in deg) of angle QOR ?

A) 67.5 B) 72
C) 78.5 D) 65
 
Answer & Explanation Answer: A) 67.5

Explanation:
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Filed Under: Area
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0 2678
Q:

If A and B together do a job in 7.5 days and if A could do the job in 10 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 40
C) 25 D) 50
 
Answer & Explanation Answer: A) 30

Explanation:
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Filed Under: Time and Work
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2 2676
Q:

If x+1x=5, then the value of 6xx2+x+1 is,

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

Explanation:
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8 2675
Q:

If A = (1/0.4) + (1/0.04) + (1/0.004) + ... upto 8 terms, then what is the value of A?

A) 27272727.5 B) 25252525.5
C) 27777777.5 D) 25555555.5
 
Answer & Explanation Answer: C) 27777777.5

Explanation:
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0 2673
Q:

A shopkeeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit 12%. What is the total sale price?

A) Rs.1100 B) Rs.1120
C) Rs.1200 D) Rs.1210
 
Answer & Explanation Answer: B) Rs.1120

Explanation:
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Filed Under: Profit and Loss
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4 2671