6500+ Quantitative Aptitude Questions and Answers With Explanation

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 49399

Q:

If $\tan^{4} θ + \tan^{2} θ = 2$ , then $\sec^{4} θ - \sec^{2} θ = ?$

A) 0	B) 3
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49365

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 49285

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 49283

Q:

At what time between 9 and 10 o'clock will the hands of a watch be together?

A) (49 + 3/11) min past 11	B) (49 +1/11) min past 9
C) (45 +1/11) min past 9	D) (45 +7/11) min past 11

Answer & Explanation Answer: B) (49 +1/11) min past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

45 min. spaces are gained in $\frac{60}{55} \times 45$ min or $49 \frac{1}{11}$ min

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

64 49273

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 49270

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

Answer & Explanation Answer: C) 4/5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 49245

Q:

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

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

Quantitative Aptitude - Arithmetic Ability Questions

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