Aptitude and Reasoning Questions

Q:

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

 

A) [(5√3) – 3] B) [(4√3) – 2]
C) [(2√5) – 1] D) [(2√6) – 1]
 
Answer & Explanation Answer: D) [(2√6) – 1]

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0 1934
Q:

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

A) 32/√3 B) 32√3
C) 64/√3 D) None
 
Answer & Explanation Answer: D) None

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

0 1934
Q:

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

A) 18 B) 12√3
C) 18√3 D) 12
 
Answer & Explanation Answer: A) 18

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Filed Under: Area
Exam Prep: Bank Exams

0 1934
Q:

If A% of A is 196, then what is the value of A?

A) 170 B) 160
C) 120 D) 140
 
Answer & Explanation Answer: D) 140

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Filed Under: Percentage
Exam Prep: Bank Exams

7 1933
Q:

The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the side of the equilateral triangle?

A) 22/3 cm B) 44/3 cm
C) 44 cm D) 22 cm
 
Answer & Explanation Answer: B) 44/3 cm

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Filed Under: Area
Exam Prep: Bank Exams

0 1933
Q:

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

A) (4√3 – 1)/4 B) (4√3 + 1)/2
C) (–4√3 – 1)/4 D) (–4√3 – 1)/2
 
Answer & Explanation Answer: C) (–4√3 – 1)/4

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0 1933
Q:

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A) 40/7 B) 24/7
C) 7/2 D) 9/2
 
Answer & Explanation Answer: B) 24/7

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 1933
Q:

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder

A) 5 B) 15
C) 25 D) 35
 
Answer & Explanation Answer: B) 15

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Filed Under: Simplification

1 1933