Aptitude and Reasoning Questions

Q:

3131×31-27 =?

A) 961 x 861 B) 961 x 961
C) 961 x 2 D) 29791
 
Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that am×an=am+n 

3131-27 = 314 = 961 x 961.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

11 9107
Q:

The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

A) 3/5 B) 1/3
C) 2/5 D) 3/4
 
Answer & Explanation Answer: A) 3/5

Explanation:

Let A be the event of A will tell truth. B be the event of B tell truth

 

 P(A)=23,P(Ac)=1-P(A)=13

 

 

 

P(B)=45,P(Bc)=1-P(B)=15 

 

When both agree then they say true or they say false together, that is 

 

 AB or AcBc

 

 

 

Also these events will be mutually exclusive :

 

 P(AB)+P(AcBc)=P(A)P(B)P(C)=23*45+13*15=35

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Filed Under: Probability

6 9107
Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 

A) 34 hrs B) 36 hrs
C) 38 hrs D) 40 hrs
 
Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140

Therefore, the leak empties the tank in 40 hours.

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

10 9104
Q:

The market was full of people ……….. attractive clothes of different styles.

A) showing B) watching
C) Having D) wearing
 
Answer & Explanation Answer: D) wearing

Explanation:

The market was full of people wearing attractive clothes of different styles.

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

6 9098
Q:

Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position?

A) South-East B) North-East
C) South-West D) North-West
 
Answer & Explanation Answer: B) North-East

Explanation:

Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet)

 N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900

 Thus, the direction from his original position is North-East.

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Filed Under: Direction Sense Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

36 9097
Q:

Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of  gentlemen in the family?

A) 23 B) 92
C) 48 D) 52
 
Answer & Explanation Answer: A) 23

Explanation:

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115  ......(1)

According to the given data,

x + y(0.50) = 69 ......(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 - 92 = 23

 

Hence, required number of gentlemen in the family = x = 23.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

8 9090
Q:

Find the two letters in the word EXTRA which have as many letters between them in the word as in the alphabet. If these two letters are arranged in alphabetical order which letter will come second?

A) E B) X
C) R D) A
 
Answer & Explanation Answer: A) E

Explanation:

EXTRA
The two letters , as mentioned in the question, are E and A. We know that E comes after A in alphabetical order.

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Filed Under: Alphabet Test

5 9087
Q:

'BE' is related to 'FI' and 'LO' is related to 'PS' in the same way as 'RU' is related to ______

A) VY B) WZ
C) VZ D) VX
 
Answer & Explanation Answer: A) VY

Explanation:

The letters move four places forward each in the alphabet.

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Filed Under: Analogy

22 9077