Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given D) 11% stock at 143
 
Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

 

Income in 1st case = Rs.11143 x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs.394×117 x 143 x 117= Rs. 1394.25

 

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
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Q:

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

A) 9/13 B) 11/13
C) 2/13 D) None of these
 
Answer & Explanation Answer: C) 2/13

Explanation:

Number of queen cards = 4

Number of ace cards = 4

 P(either a queen or ace) = 4/52 + 4/52= 8/52 = 2/13

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Filed Under: Probability

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Q:

A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

A) 35% B) 65%
C) 75% D) 26%
 
Answer & Explanation Answer: C) 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.

The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.

So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520

Then,the selling price of single book = Rs. 2520/18 = Rs. 140

He gives 20% discount on the marked price of a book.

That means, when the selling price is Rs. 80 then the marked price is Rs. 100.

∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175

∴The percentage increase in marked price from the cost price = (175 –100)% = 75%

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

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Q:

If a parallelogram with area p, a triangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then

A) P=R B) P=A
C) P=A/2 D) P=2R
 
Answer & Explanation Answer: A) P=R

Explanation:

let each have base = b and height = h
then p = b*h, R = b*h and T = (1/2) * b*h
so P = R, P = 2T and T = (1/2)*R are all correct statements

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Filed Under: Area
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Q:

The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

A) 18 cm B) 12 cm
C) 16 cm D) 14 cm
 
Answer & Explanation Answer: D) 14 cm

Explanation:

circumference of a circle = 2πr

 

=> 2 × 22/7 × r – r = 37

 

=> 37/7 × r = 37

 

=> r = 7 cm.

 

Diameter D = 2r = 7×2 = 14 cm.

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Filed Under: Area
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Q:

The present ages of Kavitha, Rajitha and Haritha are in the ratio of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A) 16,36,28 B) 16,28,36
C) 20,35,45 D) 12,21,27
 
Answer & Explanation Answer: B) 16,28,36

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

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Q:

A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

A) 400 B) 600
C) 900 D) 700
 
Answer & Explanation Answer: C) 900

Explanation:

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?

A) 51.8 % B) 49.25 %
C) 47.2 % D) 53.84 %
 
Answer & Explanation Answer: D) 53.84 %

Explanation:

100
65
-------
65 ------- 35
100 ------ ? => 53.84 %

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Filed Under: Profit and Loss
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