6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to ___ ?

A) 3.7	B) 2.7
C) 3.6	D) 2.9

Answer & Explanation Answer: D) 2.9

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
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10 8329

Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months	B) Half year
C) 2 years	D) 1 year

Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 8326

Q:

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

A) 9/13	B) 11/13
C) 2/13	D) None of these

Answer & Explanation Answer: C) 2/13

Explanation:

Number of queen cards = 4

Number of ace cards = 4

P(either a queen or ace) = 4/52 + 4/52= 8/52 = 2/13

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Filed Under: Probability

3 8324

Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km	B) 50 km
C) 70 km	D) 80 km

Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is $t 1 = \frac{40 \times x}{100 \times 48}$

But given time taken to cover first 60% of x distance is $t 2 = t 1 + \frac{20}{60} h r s$

$t 2 = \frac{60 \times x}{100 \times 48}$

$∴ \frac{60 \times x}{100 \times 48} = \frac{40 \times x}{100 \times 48} + \frac{20}{60}$

x=80 km.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank PO

12 8320

Q:

What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter

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

Answer & Explanation Answer: B) 3:1

Explanation:

Volume of cylinder / Volume of cone = 3/1

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

1 8319

Q:

You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A) 1/2	B) 1/12
C) 2/3	D) 3/4

Answer & Explanation Answer: B) 1/12

Explanation:

Probability of getting a tail when a single coin is tossed =12
Probability of getting 4 when a die is thrown =16

Required probability =(12)×(16)
= 1/12

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Filed Under: Probability

3 8318

Q:

Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ?

A) 23	B) 24
C) 25	D) 26

Answer & Explanation Answer: D) 26

Explanation:

Let, Hema attempted 'k' sum correctly, then

k x 3 -2 x(35-k) = 60
5k = 130
k = 26

so 26 correct sums.

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Filed Under: Simplification
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9 8317

Q:

Find the length of the altitude of an equilateral triangle of side $3 \sqrt{3}$ cm.

A) 4.5	B) 3.5
C) 2.5	D) 6.5

Answer & Explanation Answer: A) 4.5

Explanation:

Let the length of the altitude be h.
Then, h = $a \frac{\sqrt{3}}{2}$ = $3 \sqrt{3} \times \frac{\sqrt{3}}{2}$ = 4.5

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Filed Under: Area
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3 8315

Quantitative Aptitude - Arithmetic Ability Questions

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