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Q:

Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is

A) 30	B) 90
C) 45	D) 60

Answer & Explanation Answer: D) 60

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr. is

A) 600	B) 600 (√3 + 1)
C) 600 √3	D) 600 (√3 - 1)

Answer & Explanation Answer: D) 600 (√3 - 1)

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

If $\cos^{2} x + \cos^{4} x = 1, then \tan^{2} x + \tan^{4} x =$

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

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In a circle, a chord, 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

A) 2.5 cm	B) 5 cm
C) 7.5 cm	D) 10 cm

Answer & Explanation Answer: B) 5 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

G is the centroid of ΔABC. If AG = BC, then measure of ∠BGC is

A) 45°	B) 60°
C) 90°	D) 120°

Answer & Explanation Answer: C) 90°

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Filed Under: Volume and Surface Area
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Q:

If $(x - 4) (x^{2} + 4 x + 16) = x^{3} - P$ , then P is equal to

A) 27	B) 8
C) 64	D) 0

Answer & Explanation Answer: C) 64

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Filed Under: Simplification
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Q:

If a + b = 10 and ab = 21, then the value of ${(a - b)}^{2}$ is

A) 15	B) 16
C) 17	D) 18

Answer & Explanation Answer: B) 16

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Filed Under: Simplification
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Q:

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A) 60	B) 70
C) 80	D) 90

Answer & Explanation Answer: C) 80

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Filed Under: Average
Exam Prep: Bank Exams

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