6500+ Quantitative Aptitude Questions and Answers With Explanation

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 52500

Q:

Find the odd man out of the following number series?

22, 26, 42, 78, 142, 244

A) 244	B) 142
C) 78	D) 42

Answer & Explanation Answer: A) 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$22 22 + 2^{2} = 22 + 4 = 26 26 + 4^{2} = 26 + 16 = 42 42 + 6^{2} = 42 + 36 = 78 78 + 8^{2} = 78 + 64 = 142 142 + 10^{2} = 142 + 100 = 242$

Hence, the odd one in the given number series is 244.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 52421

Q:

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?

A) 25/7	B) 24/7
C) 24/25	D) 7/24

Answer & Explanation Answer: C) 24/25

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 52387

Q:

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A) 650	B) 690
C) 698	D) 700

Answer & Explanation Answer: C) 698

Explanation:

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698

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Filed Under: Simple Interest
Exam Prep: GRE

259 52358

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 52045

Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1:2:3	B) 2:3:4
C) 3:4:5	D) 4:5:6

Answer & Explanation Answer: B) 2:3:4

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
⇒ 7x, 21x/2 and 14x.

⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4

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Filed Under: Ratios and Proportions

162 51973

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 51891

Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

A) 5 : 2	B) 10 : 17
C) 9 : 4	D) 5 : 4

Quantitative Aptitude - Arithmetic Ability Questions

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