Aptitude and Reasoning Questions

Q:

A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?

A) 50 B) 60
C) 70 D) 80
 
Answer & Explanation Answer: B) 60

Explanation:

length of the diagonal = 52 x (15/60) =13m 

sum of length and breadth = 68 x (15/60) = 17m

 

l2+b2=13 or l+b =17

area =lb = 1/2[(2lb)] = 1/2[(l+b)² - (l²+b²)] = 1/2[17² -169]

=1/2 x 120 = 60 sq.m

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Filed Under: Area
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Job Role: Bank PO

14 17208
Q:

How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter ?

Answer

Apply Allegation Method and first calculate the ratio in which they have to be mixed.



= 8 : 12 = 2 : 3


Thus, the two varieties of oil should be mixed in the ratio 2 : 3. So, if 240 liters of the second variety are taken, then 160 liters of the first variety should be taken.

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33 17204
Q:

What is the right most integer of the expression 65776759 + 54697467  ?

A) 4 B) 6
C) 9 D) 0
 
Answer & Explanation Answer: C) 9

Explanation:

Last digit for the power of 6 is 6 (always)

Power cycle of 7 is 7, 9, 3, 1.

Now 467/4 gives a remainder of 3

Then the last digit is 73 = 3

Last digit is 6 + 3 = 9.

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Filed Under: Numbers
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8 17202
Q:

On which day in January, Subhas left for Germany ? 

I. Subhas has so far spent 10 years in Germany. 

II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhass arrival. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Clearly, even from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany. . 

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Filed Under: Data Sufficiency

42 17202
Q:

Find the number which when multiplied by 15 is increased by 196.

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..

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Filed Under: Problems on Numbers

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Q:

Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?

A) Saturday B) Sunday
C) Friday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

We know that, After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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Filed Under: Calendar
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70 17191
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
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18 17181
Q:

While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?

A) 8 + 15/17 B) 2 + 13/17
C) 3 + 2/17 D) 5 + 13/12
 
Answer & Explanation Answer: A) 8 + 15/17

Explanation:

Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400

                            =Rs. (7/100)*400 + (9/100)*6400 = Rs. (28 + 576) = Rs. 604. 

 

Total cost of the items = Rs. (400 + 6400) = Rs. 6800.

 

Required percentage =(604/6800*100) % = 81517%.

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Filed Under: Percentage

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