Quantitative Aptitude - Arithmetic Ability Questions

Q:

The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is : 

A) 60 B) 70
C) 80 D) 90
 
Answer & Explanation Answer: A) 60

Explanation:

We have : x + (x% of 150 )= 150 

=> x+(x/100)*150] = 150

=> 52x = 150  

=> x = (150*2)/5 = 60

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Filed Under: Percentage

43 24188
Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already  discounted price, what is the amount of discount that he has gotten?

A) 750 B) 375
C) 875 D) 525
 
Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

 

New   SP = 100 - 5 = 95

 

 Effective discount = 120 - 95 = 25 

 

So, at SP of 95 ----> discount = 25

 

and      at SP of 3325 -----> discount = 2595×3325 = 875

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

54 24180
Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29/5 B) 37/4
C) 42 D) 54
 
Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

 

 

 

Suppose 125 men had food for x days.

 

 

 

Now, Less men, More days (Indirect Proportion)

 

 

 

 125 : 150 :: 35 : x    =>    125 x x = 150 x 35

 

 

 

 =>

 

 

 

=> x = 42.

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Q:

ΔUVW is right angled at V. If sinU = 24/25, then what is the value of cosW ?

 

A) 25/7   B) 24/7  
C) 7/24 D) 24/25
 
Answer & Explanation Answer: D) 24/25

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

2 24171
Q:

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

A) Rs.12880 B) Rs.12000
C) Both are equally good D) None of the above
 
Answer & Explanation Answer: B) Rs.12000

Explanation:

PW of Rs.12,880 due 8 months hence  

= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 

Clearly 12000 in cash is a better offer.

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Filed Under: True Discount

12 24139
Q:

Find the volume (in cub.cm) of a hemisphere of diameter 28 cm.

 

A) 4789.67   B) 3675  
C) 2732 D) 5749.33
 
Answer & Explanation Answer: D) 5749.33

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A) 3100 B) 6240
C) 6500 D) 9600
 
Answer & Explanation Answer: B) 6240

Explanation:

To obtain Rs. 10,  investment = Rs. 96.

 

To obtain Rs. 650, investment = Rs.96*65010 = Rs. 6240.

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Filed Under: Stocks and Shares

21 24038
Q:

H.C.F of 4 x 27 x 3125,  8 x 9 x 25 x 7  and   16 x 81 x 5 x 11 x 49 is

A) 180 B) 360
C) 540 D) 1260
 
Answer & Explanation Answer: A) 180

Explanation:

4×27×3125=22×33×55

8×9×25×7=23×32×52×7

16×81×5×11×49=24×34×5×72×11

Therefore, H.C.F = 22×32×5 = 180

 

 

\inline \fn_jvn \therefore   \inline \fn_jvn H.C.F =2^{2}\times 3^{2}\times 5=180

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Filed Under: HCF and LCM

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