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Q:

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

A) 167	B) 177
C) 187	D) 197

Answer & Explanation Answer: B) 177

Explanation:

Let the second & third numbers are 2x & 3x respectively.
ATQ,
5x*6x = 4320
30*x*x = 4320
x*x = 144
x=12
Hence, second number = 5x = 5*12 = 60
Third number = 6x = 6*12 = 72
Ratio of first & second number = ¾
Hence, first number = ( ¾)*60 = 45
Sum of these 3 numbers = 60+72+45 = 177

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

The ratio of the speed of a boat downstream and speed of the stream is 9:1. If the speed of the current is 3 km per hr, find the distance travelled by the boat upstream in 5 hours.

A) 100 km	B) 98 km
C) 109 km	D) 105 km

Answer & Explanation Answer: D) 105 km

Explanation:

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

Q:

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 6	B) 9
C) 12	D) 15

Answer & Explanation Answer: B) 9

Explanation:

Let the present ages of A & B to be ‘a’ & ‘b’ respectively.
Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
Average of their ages at that time = 26
Hence,
[(a-2)+(b-2)]/2 = 26
(a-2)+(b-2) = 52
a+b = 56
Age of A, 5 year hence = 40 years
Hence, (a+5) = 40
a = 35 years
Hence, b = 56 - 35 = 21 years
B = (C-5)
Hence, C = 21+5 = 26 years
Age difference between A & C = 35 - 26 = 9 years.

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

What is the value of cosec -150°?

A) -2	B) 2/√3
C) 2	D) -2/√3

Answer & Explanation Answer: A) -2

Explanation:

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

Q:

The simplified form of ${(4 x + 3)}^{2} . (3 x - 5) - (4 x^{3} - 12 x^{2} + 9 x - 20)$ is

A) 6x2- 48x - 50	B) 24x3 + 2x2 - 32x - 15
C) 44x3 + 4x2 - 102x - 25	D) 24x3 + 8x2 - 42x - 50

Answer & Explanation Answer: C) 44x3 + 4x2 - 102x - 25

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT

Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres	B) 14 litres
C) 16 litres	D) 17 litres

Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

Q:

What value should come in place of the question mark (?) in the following question?

$68 x \sqrt{?} - 3421 = 591$

A) 3249	B) 3481
C) 3364	D) 3136

Answer & Explanation Answer: B) 3481

Explanation:

$68 x \sqrt{?} - 3421 = 591 \sqrt{?} = 4012 / 68 ? = 59 x 59 ? = 3481$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

Q:

What value should come in place of the question mark (?) in the following question?

${(?)}^{2} % of 650 = {(20)}^{2} + 4^{2}$

A) 8	B) 64
C) 8	D) 642

Answer & Explanation Answer: A) 8

Explanation:

$?^{2} = \frac{400 + 16}{650} x 100 ? = 8$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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