6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?

A) 15/17	B) 15/8
C) 8/17	D) 17/15

Answer & Explanation Answer: A) 15/17

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49557

Q:

$Sinθ Cos (90 - θ) + Cosθ Sin (90 - θ) =$

A) 1	B) 2
C) -1	D) 0

Answer & Explanation Answer: A) 1

Explanation:

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0 49535

Q:

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4	B) 6
C) 8	D) 12

Answer & Explanation Answer: A) 4

Explanation:

Let the required numbers be 33a and 33b.

Then 33a +33b= 528 => a+b = 16.

Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4

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Filed Under: HCF and LCM

129 49447

Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260	B) 1400
C) 1250	D) 1600

Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in $10 C_{6}$ or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Filed Under: Permutations and Combinations

52 49411

Q:

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

A) (2√2+√3)/2	B) 5/6
C) (1+2√3)/2	D) (√2+1)/√2

Answer & Explanation Answer: A) (2√2+√3)/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 49353

Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

A) 3√3/2	B) 1+√3
C) (2√2+1)/2	D) (3√3+1)/6

Answer & Explanation Answer: A) 3√3/2

Explanation:

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Exam Prep: Bank Exams

0 49351

Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h	B) 160 km/h
C) 67.5 km/h	D) None of these

Answer & Explanation Answer: B) 160 km/h

Explanation:

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$\Rightarrow \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$\Rightarrow$ $s_{2} = 160 k m / h$

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Filed Under: Time and Distance

164 49313

Q:

ΔXYZ is right angled at Y. If sinX = 4/5, then what is the value of cosZ ?

A) 3/4	B) 5/3
C) 4/5	D) 4/3

Quantitative Aptitude - Arithmetic Ability Questions

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