Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following numbers is composite?

 

A) 47 B) 57
C) 37 D) 67
 
Answer & Explanation Answer: A) 47

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 8520
Q:

If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ?

A) 1.44% loss B) 14.4% loss
C) 0% D) 14.4% profit
 
Answer & Explanation Answer: A) 1.44% loss

Explanation:

SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.
In this case, there will be loss and percentage of loss is given by

= [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%

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Filed Under: Profit and Loss
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2 8517
Q:

A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum  ?

A) Rs. 5858 B) Rs. 8800
C) Rs. 7000 D) Rs. 6350
 
Answer & Explanation Answer: C) Rs. 7000

Explanation:

Let the sum be Rs. S.
(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840

=> 12S/100 = 840 => S = 7000.

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Filed Under: Simple Interest
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3 8514
Q:

If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker's discount on the same sum for the same time and at the same rate?

A) 50 B) 129
C) 100 D) 160
 
Answer & Explanation Answer: B) 129

Explanation:

B.G. = S.I. on T.D.

          = Rs.(120 x 15 x 1/2 x 1/100)

  = Rs. 9.

(B.D.) - (T.D.) = Rs. 9.

 

B.D. = Rs. (120 + 9) = Rs. 129.

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Filed Under: Banker's Discount

3 8509
Q:

The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?

A) l=65;b=16 B) l=16;b=64
C) l=64;b=16 D) l=16;b=48
 
Answer & Explanation Answer: C) l=64;b=16

Explanation:

P=2(l+b)

l=4b

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

9 8496
Q:

Find the remainder when 1234 x 1235 x 1237 is divided by 8.

A) 4 B) 2
C) 0 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

When we divide 1234 by 8, remainder is 2

When we divide 1235 by 8, remainder is 3

When we divide 1237 by 8, remainder is 5

---> 2 x 3 x 5 = 30 

As 30 will not be the remainder because it is greater than 8,

when 30 divided by 8, remainder = 6.

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

7 8495
Q:

In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food?

A) 10 days B) 15 days
C) 20 days D) 5 days
 
Answer & Explanation Answer: A) 10 days

Explanation:

After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days

-->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

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Filed Under: Time and Work
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10 8492
Q:

There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?

A) Rs. 404 B) Rs. 514
C) Rs. 340 D) Rs. 616
 
Answer & Explanation Answer: D) Rs. 616

Explanation:

Let the average expenditure per head be Rs. p
Now, the expenditure of the mess for old students is Rs. 44p
After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3
Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33
Therefore, 59(p-3) = 44p + 33
59p - 177 = 44p + 33
15p = 210
=> p = 14
Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

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Filed Under: Average
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