6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

For the figure given below, find the angle OAB (in degrees).

A) 25	B) 50
C) 75	D) 90

Answer & Explanation Answer: C) 75

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 25824

Q:

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed

A) 486	B) 586
C) 686	D) 786

Answer & Explanation Answer: A) 486

Explanation:

Volume of new cube = $(1^{3} + 6^{3} + 8^{3}) c m^{3}$ = $729 c m^{3}$

Edge of new cube = $\sqrt[3]{729}$ = 9cm

Surface area of the new cube = ( 6 x 9 x 9) sq.cm = 486 sq.cm

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Filed Under: Volume and Surface Area

41 25824

Q:

What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?

A) Rs.2592	B) Rs.2492
C) Rs.2352	D) Rs.2352

Answer & Explanation Answer: A) Rs.2592

Explanation:

The usual way to find the compound interest is given by the formula A = .p(1+r/100)^n

In this formula,

A is the amount at the end of the period of investment

P is the principal that is invested

r is the rate of interest in % p.a

And n is the number of years for which the principal has been invested.

In this case, it would turn out to be A =1500(1+20/100)^3

= 2592.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

9 25822

Q:

In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture become 76%. The quantity of mixture is:

A) 65 liters	B) 91 liters
C) 38 liters	D) None of these

Answer & Explanation Answer: B) 91 liters

Explanation:

Milk Water

74% 26% (initially)

76% 24% ( after replacement)

Left amount = Initial amount $(1 - \frac{r e p l a c e d a m o u n t}{t o t a l a m o u n t})$

24 = 26 $(1 - \frac{7}{k})$

=> k = 91

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Filed Under: Alligation or Mixture

52 25797

Q:

If Deepesh had walked 20 km/h faster he woulh have saved 1 hour in the distance of 60km. what is the usual speed of Deepesh?

A) 100	B) 120
C) 150	D) None of these

Answer & Explanation Answer: A) 100

Explanation:

Let the original speed be x km/h, then

$\frac{600}{x} - \frac{600}{(x + 20)} = 1$

$\Rightarrow 600 (\frac{x + 20 - x}{x (x + 20)}) = 1$

$\Rightarrow x^{2} + 120 x - 12000 = 0$

$\Rightarrow (x - 120) (x - 100) = 0$

Therefore, original speed = 100km/h

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Filed Under: Time and Distance

32 25769

Q:

One of the roots of the equation $x^{2} - 6 x + k = 0$ is x = 2. The other root is

A) x = -1	B) x = 4
C) x = -4	D) x = 1

Answer & Explanation Answer: B) x = 4

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 25760

Q:

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

A) Rs. 7500	B) Rs. 8000
C) Rs. 8500	D) Rs. 9000

Answer & Explanation Answer: D) Rs. 9000

Explanation:

Let B's capital be Rs. x.

Then, $[\frac{3500 \times 12}{7 x} = \frac{2}{3}]$

=> 14x = 126000

=> x = 9000.

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Filed Under: Partnership

23 25666

Q:

The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence.

Answer

Given that, A+B = 60 and A = 2B.

Solving, We get A = 40, B = 20.

Five years their ages will be 45 and 25, so the sum of their ages will be 70.

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Subject: Problems on Ages

71 25655

Quantitative Aptitude - Arithmetic Ability Questions

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