6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ?

A) 270	B) 1270
C) 350	D) 720

Answer & Explanation Answer: A) 270

Explanation:

Let the smallest number be x.
Then larger number = (x + 1365)
x + 1365 = 6x + 15
= 5x = 1350
x = 270
Smaller number = 270.

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Filed Under: Problems on Numbers
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6 4955

Q:

The value of $[\frac{1}{3} l o g_{10} (125) - 2 l o g_{10} (4) + l o g_{10} (32)] :$

A) 0	B) 1
C) 2	D) 4/5

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Logarithms
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24 4952

Q:

9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

A) 35/4 days	B) 17.5 days
C) 19 3/4 days	D) 37/3 days

Answer & Explanation Answer: B) 17.5 days

Explanation:

Let the number of days be 'p'

As the work is same, we know that

$M 1 x D 1 x H 1 = M 2 x D 2 x H 2$

Where M = Men, D = Days, H = Hours per day

Here M1 = 9, D1 = 15, H1 = 7

M2 = 6, D2 = p, H2 = 9

=> 9 x 15 x 7 = 6 x p x 9

=> p = 35/2 = 17.5 days.

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Filed Under: Time and Work
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8 4942

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55	B) 105
C) 215	D) 148

Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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Filed Under: Problems on Numbers
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6 4939

Q:

A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum?

A) Rs. 7000	B) Rs. 4500
C) Rs. 9000	D) Rs. 8200

Answer & Explanation Answer: C) Rs. 9000

Explanation:

Let Rs. K invested in each scheme

Two years C.I on 20% = 20 + 20 + 20x20/100 = 44%

Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25%

Now,

(P x 44/100) - (P x 32.25/100) = 528.75

=> 11.75 P = 52875

=> P = Rs. 4500

Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

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Filed Under: Compound Interest
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19 4929

Q:

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

A) 1	B) 21/26
C) 5/26	D) 5

Answer & Explanation Answer: C) 5/26

Explanation:

We know that,

Total number of balls n(S) = 26

Number of vowels n(E) = 5

Hence, required probability = n(E)/n(S) = 5/26.

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Filed Under: Probability
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44 4926

Q:

Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?

A) 5740	B) 5720
C) 5620	D) 5730

Answer & Explanation Answer: B) 5720

Explanation:

Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

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Filed Under: Profit and Loss
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1 4921

Q:

The value of $(l o g_{5} (5)) (l o g_{4} (9)) (l o g_{3} (2)) i s :$

A) 1	B) 3/2
C) 2	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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