6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit	B) 96 lit
C) 48 lit	D) 52 lit

Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 8074

Q:

A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4 or 7 is:

A) 3/25	B) 9/25
C) 1/25	D) None of these

Answer & Explanation Answer: B) 9/25

Explanation:

Total numbers = 25

Numbers divisible by 4 or 7 are 4, 7, 8, 12, 14, 16, 20, 21, 24 = 9

The probability (divisible by 4 or 7) = 9/25

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Filed Under: Probability

3 8063

Q:

if $\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1, t h e n x i s e q u a l t o$

A) 1	B) 3
C) 5	D) 10

Answer & Explanation Answer: B) 3

Explanation:

$\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1$

$\log_{10} [5 (5 x + 1)] = \log_{10} [10 (x + 5)]$

$5 (5 x + 1) = 10 (x + 5)$

5x+1=2x+10

3x=9

x=3

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

29 8062

Q:

A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

A) 35%	B) 65%
C) 75%	D) 26%

Answer & Explanation Answer: C) 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.

The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.

So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520

Then,the selling price of single book = Rs. 2520/18 = Rs. 140

He gives 20% discount on the marked price of a book.

That means, when the selling price is Rs. 80 then the marked price is Rs. 100.

∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175

∴The percentage increase in marked price from the cost price = (175 –100)% = 75%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

7 8060

Q:

Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight?

A) 76%	B) 77%
C) 78%	D) 79%

Answer & Explanation Answer: C) 78%

Explanation:

Let Akhil's weight = p kg

=> Shreyon's weight = 2p kg

Nani's weight = 0.9 x 2p = 1.8p kg

=> Arun's weight = 1.4p kg

Required percentage = $\frac{1.4 p}{1.8 p} x 100$

= 77.8%

~= 78%

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Filed Under: Percentage
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8 8055

Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250	B) 19,200
C) 18,650,	D) 15,200

Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

8 8051

Q:

What will be the value of ${(25.732)}^{2} - {(15.732)}^{2}$

A) 214.64	B) 314.64
C) 414.64	D) 412.64

Answer & Explanation Answer: C) 414.64

Explanation:

Can be easily solved with following formula

$(a^{2} - b^{2}) = (a - b) \times (a + b)$

= (25.732 - 15.732 ) x (25.732 + 15.732)

=414.64

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Filed Under: Decimal Fractions

8 8041

Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = $\frac{100}{120} \times 96$ = Rs. 80

Now, let us apply allegation method :

= 40 : 20 = 2 : 1

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Subject: Alligation or Mixture

9 8035

Quantitative Aptitude - Arithmetic Ability Questions

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