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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:

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 sum of a non-zero number and its reciprocal is 2. What is the number?

A) 1	B) 2
C) 0	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Numbers
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:

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)

A) 1166.4 metres	B) 1458 metres
C) 777.6 metres	D) 972 metres

Answer & Explanation Answer: D) 972 metres

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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 is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

A) 22 cm	B) 16.5 cm
C) 11 cm	D) 28 cm

Answer & Explanation Answer: C) 11 cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

Q:

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

$44^{2} + 23^{2} = {(?)}^{2} + 4^{4}$

A) 47	B) 65
C) 52	D) 41

Answer & Explanation Answer: A) 47

Explanation:

$1936 + 529 = ?^{2} + 256 2465 = ?^{2} + 256 ?^{2} = 2465 - 256 ?^{2} = 2209 ? = 47$

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

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