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Q:

What is the value of 1/√2 Cot 30° + 1/√3 Cosec 60°?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

A) 1:12 B) 1:6
C) 1:16 D) 1:24
 
Answer & Explanation Answer: D) 1:24

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Filed Under: Area
Exam Prep: Bank Exams

Q:

Slope of the line AB is 4/3. Co-ordinates of points A and B are (x , -5) and (2 , -3) respectively. What is the value of x?

A) 1/2 B) -1/4
C) 4 D) -4
 
Answer & Explanation Answer: A) 1/2

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

Q:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?

A) ( 0, 3) B) ( 0, -3)
C) ( 0, -5) D) ( 0, 5)
 
Answer & Explanation Answer: B) ( 0, -3)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?

A) 42 B) -11
C) 28 D) 12
 
Answer & Explanation Answer: B) -11

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

A) -3 B) 2
C) 8 D) 3
 
Answer & Explanation Answer: D) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The simple and compound interest that can be earned in two years at the same rate is Rs 4000 and Rs 4180 respectively. What is the rate (percent per annum) of interest?

A) 18 B) 4.5
C) 9 D) 12
 
Answer & Explanation Answer: C) 9

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Filed Under: Simple Interest
Exam Prep: Bank Exams

Q:

Excluding stoppages, the speed of a train is 120 kmph and including stoppages, it is 50 kmph. For how many minutes does the train stop per hour?

A) 25 B) 40
C) 35 D) 20
 
Answer & Explanation Answer: C) 35

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Filed Under: Problems on Trains
Exam Prep: Bank Exams