Aptitude and Reasoning Questions

Q:

A can do a piece of work in 30 days. He works at it for 6 days and then B finishes it in 18 days. In what time can A and B together it ?

A) 14 1/2 days B) 11 days
C) 13 1/4 days D) 12 6/7 days
 
Answer & Explanation Answer: D) 12 6/7 days

Explanation:

Let 'B' alone can do the work in 'x' days

6/30 + 18/x = 1

=> x = 22.5

 

1/30 + 1/22.5 = 7/90 

=> 90/7 = 12 6/7 days

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Filed Under: Time and Work
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Job Role: Bank PO , Bank Clerk

29 19649
Q:

How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?

A) 7 B) 9
C) 11 D) 5
 
Answer & Explanation Answer: B) 9

Explanation:

LCM of 2, 3, 7 is 42.

=> (700 – 300)/42 = 9  22/42 => 9 Numbers.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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28 19643
Q:

MABELA, MABLE, MABUSE, MABEPEARL, ?

If the above given words are arranged in the dictionary then the last word is

A) MABLE B) MABUSE
C) MABEPEARL D) MEBELA
 
Answer & Explanation Answer: B) MABUSE

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

5 19635
Q:

In a certain code language 'how many goals scored' is written as '5397'; 'many more matches' is written as '982'; and 'he scored five' is written as '163'. How is 'goals' written in that code language ?

A) 5 B) 7
C) 3 D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

From the given data,
how many goals scored = 5397....(1)
many more matches = 982.....(2)
he scored five = 163.....(3)
from (1)&(2), many = 9 ....(4)
from (1)&(3), scored = 3 ....(5)
Using (4)&(5)in(1), we get goals = 5 or 7.

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Filed Under: Coding and Decoding
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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53 19625
Q:

Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:

A) 26 B) 36
C) 46 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

Let Pencils = 10x, Pens = 2x & Exercise books = 3x. Now, 10x = 120 hence x = 12.
Number of exercise books = 3x = 36.

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Filed Under: Ratios and Proportions

44 19622
Q:

The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :

A) 25 B) 35
C) 45 D) 55
 
Answer & Explanation Answer: B) 35

Explanation:

Excluded number = (27 x 5)  -  (25 x 4) = 135 - 100 = 35.

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Filed Under: Average

31 19613
Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

 

An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe.

Quantity 1: The time required by the first pipe?

Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

A) Quantity 1 > Quantity 2 B) Quantity 1 ≥ Quantity 2
C) Quantity 1 < Quantity 2 D) Quantity 1 ≤ Quantity 2
 
Answer & Explanation Answer: A) Quantity 1 > Quantity 2

Explanation:

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ 1x-9

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = 115+110+16
⇒ Net part filled in 1 hour = 4+6+1060
⇒Net part filled in 1 hour = 2060=13
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2

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2 19611
Q:

Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

A) 84 B) 64
C) 44 D) 22
 
Answer & Explanation Answer: A) 84

Explanation:

Let a = 13, b = 14 and c = 15. Then, s=12a+b+c=21

 (s- a) = 8, (s - b) = 7 and (s - c) = 6.


Area =ss-as-bs-c =21×8×7×6 = 84 sq.cm   

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Filed Under: Area
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Job Role: Bank PO

40 19601