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Q:

ΔPQR is right angled at Q. If m∠R = 60o, then find the value of (secP - 1/√3) 

A) (√6-6)/3√3 B) (1-3√2)/3
C) 1/√3 D) 2/√3
 
Answer & Explanation Answer: C) 1/√3

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Q:

If x+1x2 = 3, then the value of x3+1x3 is:

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

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Q:

The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wronglyentered as 65 instead of 56 and another as 24 instead of 50. The correct average is

A) 70 B) 71
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

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Filed Under: Average
Exam Prep: Bank Exams

Q:

A boat covers 63 km upstream in 9 hours and covers the same distance downstream in 7 hours . What is the speed (in km/ hr) of the boat in still water?

A) 8.7 B) 8.5
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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Filed Under: Boats and Streams

Q:

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

A) 6 B) 7
C) 5 D) 3
 
Answer & Explanation Answer: C) 5

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Q:

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

A) 22 B) 23
C) 24 D) 25
 
Answer & Explanation Answer: B) 23

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Q:

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

A) 38° B) 32°
C) 25° D) 29°
 
Answer & Explanation Answer: A) 38°

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Q:

If l + m + n = 9 and l2+m2+n2 = 31, then the value of lm + mn + nl will be

A) 22 B) 50
C) 25 D) -25
 
Answer & Explanation Answer: C) 25

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Filed Under: Simplification