6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 183	B) 153
C) 63	D) 123

Answer & Explanation Answer: A) 183

Explanation:

LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

12 4135

Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300	B) 350
C) 250	D) 275

Answer & Explanation Answer: A) 300

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}} = \frac{2800}{{(1 + \frac{12}{100})}^{2}}$ = Rs.2500

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 4130

Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased

Population of the city at the end of the second year= $p\left ( 1+\frac{R1}{100} \right )\left ( 1-\frac{R2}{100} \right )$

$\Rightarrow$ $415600\left ( 1+\frac{25}{100} \right )\left ( 1-\frac{30}{100} \right )$

$\Rightarrow$ 363650.

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Subject: Percentage Exam Prep: CAT
Job Role: Bank Clerk

12 4122

Q:

Mr. Rajan invested Rs 1,00,000 in US Stock Markets when the GBPINR rate was 75. After one year his investment appreciated by 20% in GBP terms. He sold of his investments and repatriated the money to India at the then existing rate of 80. what was real returns in INR?

A) loss of 24%	B) gain of 28%
C) loss of 28%	D) gain of 20%

Answer & Explanation Answer: B) gain of 28%

Explanation:

Money invested by Rajan before 1 year was = Rs. 100000

Money in UK pounds @ 75 is = 100000/75 = 1333.33 Pounds

Now, after 1 year invested amount was appreciated by 20%

=> 20% of 1333.33 = 266.66

Total investment becomes = 1333.33 + 266.66 = 1600 Pounds

This 1600 Pounds @ Indian currency at 80 = 1600 x 80 = Rs. 1,28,000

Hence, Rajan's investment of Rs. 1,00,000 becomes Rs. 1,28,000 in 1 year

Therefore, his profit % = [(128000 - 100000)/100000] x 100 = 28%.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 4121

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years	B) 62 Years
C) 42 Years	D) 69 Years

Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

5 4117

Q:

If 1st January 2013 was Tuesday, then what day of the week will be 31st December 2013?

A) Wednesday	B) Thursday
C) Tuesday	D) Monday

Answer & Explanation Answer: C) Tuesday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

10 4108

Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs	B) 29.5 yrs
C) 30.5 yrs	D) 27 yrs

Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

3 4096

Q:

If $\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3} t h e n a & b = ?$

A) a=-11,b=-6	B) a=-11,b=6
C) a=11,b=-6	D) a=11,b=6

Answer & Explanation Answer: C) a=11,b=-6

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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13 4096

Quantitative Aptitude - Arithmetic Ability Questions

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