6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

A) 144º	B) 168º
C) 180º	D) 150º

Answer & Explanation Answer: C) 180º

Explanation:

Angle traced by the hour hand in 6 hours = $\frac{360^{o}}{12} \times 6$ = $180^{o}$ .

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Filed Under: Clocks
Exam Prep: CAT
Job Role: Bank Clerk

41 21048

Q:

A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

A) 126sq.ft	B) 120sq.ft
C) 130sq.ft	D) 135sq.ft

Answer & Explanation Answer: A) 126sq.ft

Explanation:

Let l = 9 ft.

Then l + 2b = 37

=> 2b = 37 – l = 37 – 9 = 28

b = 28/2 = 14 ft.

Area = lb = 9 × 14 = 126 sq. ft.

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

16 21038

Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1	B) 3 : 2
C) 25 : 18	D) 27 : 20

Answer & Explanation Answer: C) 25 : 18

Explanation:

Volume of the large cube = $(3^{3} + 4^{3} + 5^{3})$ = 216 cu.cm.

Let the edge of the large cube be a.

So, $a^{3}$ = 216

=>a = 6 cm.

Required ratio = $\frac{6 (3^{2} + 4^{2} + 5^{2})}{6 (6^{2})} = \frac{25}{18}$

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Filed Under: Volume and Surface Area

18 21004

Q:

If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?

A) 22	B) 14
C) 13	D) 11

Answer & Explanation Answer: D) 11

Explanation:

Let the required no of binders be X.

Less books , Less binders (Direct Proportion)

More days, Less binders (Indirect proportion)

$\begin{array}{r} \begin{matrix} B o o k s & 900 : 660 \end{matrix} \\ \begin{matrix} D a y s & 12 : 10 \end{matrix} \end{array}\} ⋮ ⋮ 18 : x$

Therefore, (900 * 12 * x) = (660 * 10 * 18)

=> x = 11

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Filed Under: Chain Rule

38 20976

Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at $12 \frac{1}{2}$ % per annum is Rs 25. Find the sum.

A) Rs.6800	B) Rs.6500
C) Rs.6000	D) Rs.6200

Answer & Explanation Answer: A) Rs.6800

Explanation:

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Filed Under: True Discount

53 20946

Q:

Find the unit digit of 4¹⁹⁸ + 6¹²³⁴⁵ + 348⁶⁶ + 24¹¹ + 1.

A) 3	B) 2
C) 1	D) 0

Answer & Explanation Answer: C) 1

Explanation:

Given that, $4^{198} + 6^{12345} + 348^{66} + 24^{11} + 1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

$4^{198}$ - 198 is even number , So the unit digit value is 6

$6^{12345}$ - It is always 6

$348^{66}$ - 66/4 the remainder is 2 , So the second value is 4

$24^{11}$ - 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

28 20931

Q:

A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?

A) 156	B) 166
C) 176	D) 186

Answer & Explanation Answer: C) 176

Explanation:

Area of the room=(544 * 374)

size of largest square tile= H.C.F of 544 & 374 = 34 cm

Area of 1 tile = (34 x 34) $c m^{2}$

Number of tiles required== [(544 x 374) / (34 x 34)] = 176

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

54 20896

Q:

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A) 1677	B) 1683
C) 2523	D) 3363

Answer & Explanation Answer: B) 1683

Explanation:

L.C.M. of 5, 6, 7, 8 = 840.

Required number is of the form 840k + 3

Least value of k for which (840k + 3) is divisible by 9 is k = 2.

Required number = (840 x 2 + 3) = 1683.

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Filed Under: HCF and LCM

25 20888

Quantitative Aptitude - Arithmetic Ability Questions

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