6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?

A) Rs.600	B) Rs.601
C) Rs.602	D) Rs.603

Answer & Explanation Answer: C) Rs.602

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}}$

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Filed Under: True Discount
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27 5322

Q:

If a, b, c be the $p^{t h}, q^{t h} a n d r^{t h}$ terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

A) 0	B) 1
C) -1	D) pqr

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Logarithms
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13 5318

Q:

Simon deposits $400 in an account that pays 3% interest compounded annually. What is the balance of Simon’s account at the end of 2 years?

A) 424.36	B) 524.56
C) 545.36	D) 456.36

Answer & Explanation Answer: A) 424.36

Explanation:

I=Prt

I=12

Balance = P +Prt

412

Find the balance at the end of the second year.

I = Prt=12.36

Balance =P + Prt

424.36

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Filed Under: Compound Interest
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0 5311

Q:

A person in a bet 40 shots taken. 50p for a hit, 10p for a miss.(he have to give). Finally he has Rs.5. How many hits he have ?

A) 15	B) 20
C) 25	D) 30

Answer & Explanation Answer: A) 15

Explanation:

Let number of hit shots be 'X'
Let number of miss shots be 'Y'
Given X + Y = 40....(1)
50X - 10Y = 500.....(2)
Solving 1 and 2, we get
X = 15 and Y = 25
Therefore, number of hits = 15

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Filed Under: Problems on Numbers
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2 5310

Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23	B) 432
C) 22	D) 431

Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

${}^{9}C_{1} + {}^{8}C_{1} + {}^{6}C_{1}$ = 23 will be answer.

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Filed Under: Permutations and Combinations
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2 5310

Q:

Gopal borrowed some money at 12% simple interest. If he had to pay back Rs. 1280 after 5 years, in order to clear off the loan. How much did he borrow?

A) Rs. 800	B) Rs. 620
C) Rs. 560	D) Rs. 480

Answer & Explanation Answer: A) Rs. 800

Explanation:

Let the principle amount be Rs. P

Interest rate = 12%

Total amount he paid after 5 years = Rs. 1280

ATQ,

$P + I = \frac{PTR}{100} + P 1280 = P [\frac{TR}{100} + 1] 1280 = P [\frac{5 x 12}{100} + 1] \frac{16 P}{10} = 1280 P = 80 x 10 = 800$

Hence, the amount he borrowed = P = Rs. 800.

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Filed Under: Simple Interest
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13 5304

Q:

$112 \times 5^{4} =$

A) 68947	B) 69874
C) 70000	D) 76000

Answer & Explanation Answer: C) 70000

Explanation:

$112 \times 5^{4} 112 \times {(\frac{10}{2})}^{4} = \frac{112 \times 10000}{2^{4}} = 1120000 / 16$

= 70,000.

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Filed Under: Simplification
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13 5296

Q:

In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

A) 2/9	B) 5/9
C) 4/9	D) 0

Answer & Explanation Answer: C) 4/9

Explanation:

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2 + 5C2/9C2

= 1/6 + 5/18

= 4/9.

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Filed Under: Probability
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13 5295

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