6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm	B) 115.395 sq cm
C) 104.214 sq cm	D) 111.241 sq cm

Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is $4 (\frac{3}{4} \times \frac{22}{7} \times 3.5 \times 3.5)$ = 115.3955 sq cm.

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3 7573

Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

A) 13 – 14	B) 15 – 16
C) 24 – 25	D) 19 – 21

Answer & Explanation Answer: D) 19 – 21

Explanation:

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Q:

A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?

A) 215/216	B) 1/216
C) 215/256	D) 1/52

Answer & Explanation Answer: A) 215/216

Explanation:

Probability of getting 6 at the top once =1/6

Probability of getting 6 at the top three times =1/6 x 1/6 x 1/6 =216

Probability of no getting 6 at he top any time = 1 - 1/216 = 215/216

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2 7563

Q:

The ratio of present ages of Sheetal and Divya is 6 : 5. After 8 years, their ages will be in the ratio of 22 : 19. What is the present age (in years) of Divya?

A) 22	B) 38
C) 34	D) 30

Answer & Explanation Answer: D) 30

Explanation:

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Filed Under: Problems on Ages
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24 7558

Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123	B) 253
C) 321	D) 231

Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions = $n + r - 1 C_{r - 1} = {}^{23}C_{2}$ = 253

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4 7557

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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Q:

In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ?

A) 15 kg	B) 25 kg
C) 35 kg	D) 45 kg

Answer & Explanation Answer: D) 45 kg

Explanation:

Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.
Let k be the quantity of third variety of oil in the final mixture.
Let the ratio of initial quantity of oils be 'y'
From given details,
4x + 5 = 5y ..... (1)
5x + 10 = 7y .....(2)
8x + k = 9y ......(3)

By solving (1) & (2), we get
x = 5 & y = 5

From (3) => k = 5

Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.

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Q:

Ishikha got married 9 years ago. Today her age is 4/3 times her age at the time of marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age three years ago?

A) 4 years	B) 3 years
C) 2 years	D) 1 year

Answer & Explanation Answer: B) 3 years

Explanation:

Let Ishika and her daughter present ages be p and q

From the given data,

p = 4/3(p - 9)

=> p = 36 years

Hence, Ishika's present age = 36 years and

Her daughter's present age = 1/6 x 36 = 6 years

Now, required her daughter’s age three years ago = 6 - 3 = 3 years.

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Filed Under: Problems on Ages
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Quantitative Aptitude - Arithmetic Ability Questions

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