Aptitude and Reasoning Questions

Q:

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

A) 2√6 cm B) 3√6 cm
C) 3√7 cm D) 6√7 cm
 
Answer & Explanation Answer: D) 6√7 cm

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

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Q:

The marked price of a pencil is 35% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his pencil at no profit or no loss?

 

 

A) 34.24   B) 44.44  
C) 25.92   D) 18.18
 
Answer & Explanation Answer: C) 25.92  

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

A) 3√3 B) 2√6
C) 4√2 D) 6√2
 
Answer & Explanation Answer: C) 4√2

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Ram is 20 years younger than Shyam. 5 years ago, the ratio of their age was 3:5. The sum of their present age is

A) 75 years B) 80 years
C) 90 years D) 95 years
 
Answer & Explanation Answer: C) 90 years

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

A) 8/9 B) 7/10
C) 7/8 D) 6/11
 
Answer & Explanation Answer: B) 7/10

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

Select the missing number from the given responses:

A) 6 B) 9
C) 5 D) 4
 
Answer & Explanation Answer: C) 5

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Filed Under: Number Series
Exam Prep: Bank Exams

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Q:

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1.

A) 125 B) 250
C) 375 D) 500
 
Answer & Explanation Answer: C) 375

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

Length of two trains are 150 m and 200 m respectively and the ratio (shorter: longer) of their speed is 2 : 5. If they cross each other in opposite direction in 15 second then in what time faster train will overtake the slower train.

A) 20 seconds B) 25 seconds
C) 32 seconds D) 35 seconds
 
Answer & Explanation Answer: D) 35 seconds

Explanation:

Let speed of slower train = 2x
⇒ speed of faster train = 5x
ATQ, (150 + 200)/(2x + 5x) = 15
x = 10/3
Time required=350/[50/3–20/3]= 35 seconds

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