Aptitude and Reasoning Questions

Q:

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in    ?

A) 20 hrs B) 28 hrs
C) 36 hrs D) 40 hrs
 
Answer & Explanation Answer: A) 20 hrs

Explanation:

1/8 - 1/x = 1/10

 => x = 40 hrs

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Filed Under: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

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Q:

A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

A) Rs 100 B) Rs 150
C) Rs 200 D) Rs 250
 
Answer & Explanation Answer: C) Rs 200

Explanation:

Let original Cost price is x
Its Selling price = (105/100) * x = 21x/20
New Cost price  = (95/100) * x  = 19x/20
New Selling price = (110/100 )* (19x/20 )= 209x/200
[(21x/20) - (209x/200)] = 1
=> x = 200

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Filed Under: Profit and Loss

102 25659
Q:

Find the square root of 1471369.

 

A)  1213 B)  1223
C)  1203 D) 1233
 
Answer & Explanation Answer: A)  1213

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

What is the measure of an exterior angle of a regular polygon of 5 sides?

 

A) 72 B) 60
C) 45 D) 40
 
Answer & Explanation Answer: A) 72

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

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Q:

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A) 5 B) 6
C) 7 D) 10
 
Answer & Explanation Answer: B) 6

Explanation:

Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.

[66*(5/18)] m/sec = (55/3) m/sec

Time taken to pass the man = [110*(3/55)]m/sec = 6 sec.

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Filed Under: Problems on Trains

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Q:

In 16 minutes, the minute hand gains over the hour hand by -

A) 16 deg B) 80 deg
C) 88 deg D) 94 deg
 
Answer & Explanation Answer: C) 88 deg

Explanation:

In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.

∴ In 16 minutes, the minute hand gain over the hour hand by fraction numerator 330 degree over denominator 60 end fraction cross times 16 degree equals 88 degree

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

38 25639
Q:

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

A) Rs. 1100 B) Rs. 500
C) Rs. 1200 D) Rs. 700
 
Answer & Explanation Answer: B) Rs. 500

Explanation:

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 25634
Q:

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

A) 63 and 49 B) 64 and 48
C) 62 and 46 D) 64 and 49
 
Answer & Explanation Answer: A) 63 and 49

Explanation:

Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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