Quantitative Aptitude - Arithmetic Ability Questions

Q:

O is an centre of a circle. P is an external point of it at distance of 13cm from O. The radius of the circle is 5cm. Then the length of a tangent to the circle from P upto the point of contact is

A) √194cm B) 10cm
C) 12cm D) 8cm
 
Answer & Explanation Answer: C) 12cm

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Filed Under: Volume and Surface Area
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Q:

The sum of two fractions is 3/4. One of them is 2/3. What is the other fraction?

A) 1/12 B) 1/1
C) 1/10 D) 1/5
 
Answer & Explanation Answer: A) 1/12

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Filed Under: Problems on Numbers
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Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

 

A) (4, 17, 13)   B) (6, 19, 15)  
C) (15, 28, 25)   D) (11, 24, 20)
 
Answer & Explanation Answer: C) (15, 28, 25)  

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Filed Under: Odd Man Out
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Q:

ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of (cosecX - 2/√3).

A) (2-√3)/2√3 B) (1-√6)/√2
C) (√6-2)/√3 D) -1/√3
 
Answer & Explanation Answer: C) (√6-2)/√3

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Filed Under: Simplification
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Q:

The simple interest on a sum is 5/9 of the principal for 25 years. What is the rate (in percentage) of interest per annum?

 

A) 25/9   B) 9/2  
C) 20/9   D) 15/4
 
Answer & Explanation Answer: C) 20/9  

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Filed Under: Simple Interest
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Q:

The area of the base of a cone is 64pi sq.cm while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be

 

A) 2303 cm B) 2403 cm
C) 8303 cm D) 6.5 cm
 
Answer & Explanation Answer: A) 2303 cm

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Filed Under: Volume and Surface Area
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Q:

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

 

A) 50 B) 20
C) 26 D) 48
 
Answer & Explanation Answer: D) 48

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Q:

Present age of Ashok is twice the present age of Kishan. After 7 years the Kishan’s age will be 4 times of the Kartik’s present age. If Kartik celebrated his 9thbirthday 3 years ago, then what will be the present age (in years) of Ashok?

 

A) 82   B) 78  
C) 72   D) 84
 
Answer & Explanation Answer: A) 82  

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Filed Under: Problems on Ages
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