6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $tanα = \sqrt{2} + 1$ , then the value of $tanα - cotα$ is

A) √2 - 1	B) 2√2
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 54085

Q:

Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.

A) 524.32	B) 624.32
C) 724.32	D) 824.32

Answer & Explanation Answer: D) 824.32

Explanation:

Principal = Rs. 10000; Rate = 2% per half-year; Time = 2 years = 4 half-years.
Amount == Rs. 10824.32.

$R s . [10000 * {(1 + \frac{2}{100})}^{4}] = R s . [10000 * \frac{51}{50} * \frac{51}{50} * \frac{51}{50} * \frac{51}{50}]$

$\therefore$ C.I. = Rs. (10824.32 - 10000) = Rs. 824.32.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

145 54022

Q:

What percent of 7.2 kg is 18 gms ?

A) .25%	B) .5%
C) .75%	D) 1%

Answer & Explanation Answer: A) .25%

Explanation:

Required percentage = (18/7200 * 100)% = 1/4% = 0.25%

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Filed Under: Percentage

201 53987

Q:

Find the next number in the given number series?

35, 36, 55, 111, ?

A) 278.5	B) 264.5
C) 212.5	D) 202

Answer & Explanation Answer: A) 278.5

Explanation:

The given number series is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

Hence, the next number in the given number series is 278.5.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

2 53957

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

Explanation:

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Filed Under: Simplification
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0 53894

Q:

A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?

A) 60	B) 62
C) 64	D) 65

Answer & Explanation Answer: B) 62

Explanation:

Relative speed =280/9 m / sec = (280/9*18/5) kmph = 112 kmph.

Speed of goods train = (112 - 50) kmph = 62 kmph.

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Filed Under: Problems on Trains

140 53858

Q:

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?

A) 11 : 13 : 15	B) 11 : 13 : 17
C) 12 : 17 : 18	D) 12 : 15 :16

Answer & Explanation Answer: D) 12 : 15 :16

Explanation:

Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.

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Filed Under: Partnership

30 53835

Q:

Determine the value of $\frac{x + y}{x + 2 y} when \frac{2 x + y}{x + 4 y} = 3 .$

A) 3/5	B) 7/10
C) 4/5	D) 9/10

Quantitative Aptitude - Arithmetic Ability Questions

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