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Q:

Sec 45% + Tan 30% =

A) (√6 + 1)/√3 B) (1 + √3)/2
C) (√3 + 2)/√3 D) 5/√3
 
Answer & Explanation Answer: A) (√6 + 1)/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?

A) 4 B) 8
C) 12 D) 9
 
Answer & Explanation Answer: D) 9

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Filed Under: Area
Exam Prep: Bank Exams

Q:

What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?

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

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Q:

Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?

A) (-3, 1.5) B) (-1.5, 3)
C) (3, -1.5) D) (1.5, 3)
 
Answer & Explanation Answer: C) (3, -1.5)

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Q:

If the 1st and the 3rd term of an arithmetic progression are -10 and -4, what is the 12th term?

A) 26 B) 20
C) 17 D) 23
 
Answer & Explanation Answer: D) 23

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Filed Under: Numbers
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Q:

The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?

A) 10 B) 11
C) 9 D) 90
 
Answer & Explanation Answer: C) 9

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Filed Under: Problems on Numbers
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Q:

If a + b = 3 and ab = -4, then what is the value of a3 + b3?

A) 36 B) 63
C) 12 D) -15
 
Answer & Explanation Answer: B) 63

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Q:

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

A) 25 B) 24.5
C) 24 D) 25.5
 
Answer & Explanation Answer: C) 24

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Filed Under: Boats and Streams
Exam Prep: Bank Exams