6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Shiva purchased 280 kg of Rice at the rate of 15.60/kg and mixed it with 120 kg of rice purchased at the rate of 14.40/kg. He wants to earn a profit of Rs. 10.45 per kg by selling it. What should be the selling price of the mix per kg?

A) Rs. 22.18	B) Rs. 25.69
C) Rs. 26.94	D) Rs. 27.54

Answer & Explanation Answer: B) Rs. 25.69

Explanation:

Rate of rice of quantity 280 kg = Rs. 15.60/kg

Rate of rice of quantity 120 kg = Rs. 14.40/kg

He want to earn a profit of Rs. 10.45/kg

Rate of Mix to sell to get profit of 10.45 =

$\frac{280 x 15.60 + 120 x 14.40}{280 + 120} + 10.45 \frac{4368 + 1728}{400} + 10.45 = > 15.24 + 10.45 = 25.69$

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Filed Under: Alligation or Mixture
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12 4125

Q:

The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 30 years, what is father's age ?

A) 42 yrs	B) 45 yrs
C) 36 yrs	D) 38 yrs

Answer & Explanation Answer: B) 45 yrs

Explanation:

Let father's age be x year and son's age be y year.

According to question,

2(x+y) = 8y _______(I)

and (x+y)/2 = 30

=> x+y = 60 years__________(II)

From equation (I) and (II)

8 y = 120

y = 15 years,

Hence x = 45 years.

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Filed Under: Problems on Ages
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8 4124

Q:

How many numbers up to 101 and 300 are divisible by 11 ?

A) 18	B) 20
C) 19	D) 17

Answer & Explanation Answer: A) 18

Explanation:

(300 – 101)/11 = 199/11 = 18 1/11

18 Numbers.

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Filed Under: Problems on Numbers
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9 4119

Q:

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by

A) 100 m	B) 111m
C) 25 m	D) 50 m

Answer & Explanation Answer: A) 100 m

Explanation:

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Filed Under: Races and Games

3 4118

Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3	B) 1/2
C) 7/8	D) 4/5

Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

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Filed Under: Probability
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4 4114

Q:

K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B ?

A) Rs. 9040	B) Rs. 10,400
C) Rs. 12,800	D) Rs. 6350

Answer & Explanation Answer: C) Rs. 12,800

Explanation:

16x8 : Px4 = 5:2

P = 12.8 => Rs.12,800

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Filed Under: Partnership
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4 4114

Q:

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A) 17/112	B) 55/221
C) 55/121	D) 33/221

Answer & Explanation Answer: B) 55/221

Explanation:

n(S) = ${}^{52}C_{2}$ = 1326

Let A = event of getting both red cards

and B = event of getting both queens

then $(A \cap B)$ = event of getting two red queens

n(A) = ${}^{26}C_{2}$ = 325, n(B) = ${}^{4}C_{2}$ = 6

$n (A \cap B) = {}^{2}C_{2} = 1$

$∴ P (A) = \frac{325}{1326}, P (B) = \frac{6}{1326}$

$P (A \cap B) = \frac{1}{1326}$

$∴$ P ( both red or both queens) = $P (A \cup B)$

= $P (A) + P (B) - P (A \cap B) =$ $\frac{325}{1326} + \frac{1}{221} - \frac{1}{1326}$ = $\frac{55}{221}$

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Filed Under: Probability

6 4111

Q:

Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?

A) 34 lit/min	B) 25 lit/min
C) 22 lit/min	D) 18 lit/min

Answer & Explanation Answer: B) 25 lit/min

Explanation:

Given that the waste tap can empty the filled tank in 32 min.

Now, the rate at which the waste tap can empty the tank = (40 + 60)8/32 = 100/4 = 25 lit/min.

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Filed Under: Pipes and Cistern
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13 4110

Quantitative Aptitude - Arithmetic Ability Questions

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