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Q:

If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is

A) 2a2 B) 0
C) 4a2 D) a2
 
Answer & Explanation Answer: D) a2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The value of sec217°-1tan273°-sin17°sec73°

A) 1 B) 0
C) -1 D) 2
 
Answer & Explanation Answer: B) 0

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Q:

In an isosceles triangle ABC, AB = AC, XY || BC. If A = 30, then BXY = 

A) 75° B) 30°
C) 150° D) 105°
 
Answer & Explanation Answer: D) 105°

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

Q:

If xa+b+1=xa-b+a-ba+b, then x is equal to

A) 2a-b B) a+b
C) a-b D) 2a+b
 
Answer & Explanation Answer: C) a-b

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Q:

If a-b=1 and a3-b3 = 61, then the value of ab will be

A) -20 B) 20
C) 30 D) 60
 
Answer & Explanation Answer: B) 20

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Q:

If p = 99, then the value of p(p2+3p+3) will be

A) 999999 B) 1000000
C) 1000001 D) 999998
 
Answer & Explanation Answer: A) 999999

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Q:

Find the missing number in the series:

219, 211, 204, 198, ?, 189

A) 189 B) 192
C) 193 D) 196
 
Answer & Explanation Answer: C) 193

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Filed Under: Number Series
Exam Prep: Bank Exams

Q:

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

A) 1 B) 0
C) √3 D) 1/√3
 
Answer & Explanation Answer: B) 0

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