Aptitude and Reasoning Questions

Q:

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65 B) 2.7
C) 3.5 D) 6.66
 
Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)2 + x2 = 16202

x2 = 8281

x = 91

=> (1/26) of 91 = 3.5

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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18 17627
Q:

Two pipes A and B can fill a tank in 24 hours and 1717 hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B , when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe "C" connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in :

A) 2 hours B) 8 hours
C) 6 hours D) 4 hours
 
Answer & Explanation Answer: B) 8 hours

Explanation:

Efficiency of Inlet pipe A = 4.16%       10024 

 

Efficiency of Inlet pipe B = 5.83%      1001717  

 

Therefore, Efficiency of A and B together = 100 %   

 

Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 *  (10 - x)

 

Now, since this amount of water is being emptied by 'C' at x% per hour, then

 

 10x10-xx=2.5 hrs 

 => x = 8 

 

Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the  capacity will be filled by pipes A and B  in 80/10 = 8 hours 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

38 17627
Q:

In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of  all the literate and illiterate  employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :

A) 15 B) 20
C) 10 D) Data Insufficient
 
Answer & Explanation Answer: C) 10

Explanation:

Total employees = 25-10×2010=30

 Hence number of educated employees  = 30-20 = 10

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Filed Under: Average

32 17627
Q:

Select the option that represents the number of parallelograms in the given figure.

 

 

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

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

1 17625
Q:

Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes?

A) 25 kgs B) 30 kgs
C) 35 kgs D) 40 kgs
 
Answer & Explanation Answer: D) 40 kgs

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes

 

=> 60 x 40100 = p x 60100=> p = 40 kgs.

 

Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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21 17621
Q:

Consider the following information and answer questions based on it.

 

Six cars S, T, V, W, X and Y are parked in a parking lot, in a random order, from left to right, such that -

 

A. T is parked on the extreme right.

B. V is parked to the immediate right of Y and is one car away from W.

C. X is to the immediate left of T and is three cars away from S.

 

Which of the following statement is true?

 

A) There are two cars between T and V. B) There is one car between X and Y.
C) There are three cars between Y and S. D) There is no car between X and W.
 
Answer & Explanation Answer: B) There is one car between X and Y.

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

0 17614
Q:

From the 50 liters of milk, 5 liters of milk is taken out and after it 5 liters of water is added to the rest amount of milk. Again 5 liters of milk and water is drawn out and it was replaced by 5 liters of water. If this process is continued  similarly for the third time, the amount of milk left after the third replacement: 

A) 45L B) 36.45L
C) 40.5L D) 42.5L
 
Answer & Explanation Answer: B) 36.45L

Explanation:

General Formula:

Final or reduced concentration = initial concentration x 1-amount being replaced in each operationtotal amountn

where n is the number of times the same operation is being repeated. The "amount being replaced" could be pure or mixture as per the case. similarly ,"total amount" could also be either pure or mixture. Here amount being replaced denotes the quantity which is to be withdrawn in each time.

 

Therefore,    50×1-5503

= 36.45 L

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Filed Under: Alligation or Mixture

20 17614
Q:

In the following question, select the missing number from the given series.

 

107, 104, 100, 95, ?, 82

 

A) 87 B) 89
C) 85 D) 83
 
Answer & Explanation Answer: B) 89

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

2 17612