Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of 2sec2A?

A) secA/(cosecA - ­1) + secA/(cosecA +1) B) cosecA/(secA -­1) + cosecA/(secA +1)
C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1) D) secA/(secA - ­1) + secA/(secA +1)
 
Answer & Explanation Answer: C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1)

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Q:

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

A) 10 years B) 12 years
C) 14 years D) 8 years
 
Answer & Explanation Answer: B) 12 years

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Q:

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?

 

A) 21 : 1   B) 23 : 2
C) 19 : 11 D) 9 : 2
 
Answer & Explanation Answer: A) 21 : 1  

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Q:

If x+1x = 4, then what is the value of x6+1x6 ?

A) 52 B) 256
C) 1026 D) 2702
 
Answer & Explanation Answer: D) 2702

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Q:

If secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)] B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

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Q:

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

A) 34 B) 28
C) 25 D) 31
 
Answer & Explanation Answer: D) 31

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Q:

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

A) 4√2 cm B) 5 cm
C) 6 cm D) 10 cm
 
Answer & Explanation Answer: B) 5 cm

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Q:

What is the value of tan 7π/4?

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

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