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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?

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

Explanation:

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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17 4940
Q:

The greatest possible value of n could be 9n < 108 if, given that log 3 = 0.4771 and n∈N:

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: B) 8

Explanation:

 

Taking Log to both sides 

 we get

 n = 8           

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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8 4936
Q:

In the following question, select the odd word from the given alternatives.

 

A) Red B) Green
C) White D) Painting
 
Answer & Explanation Answer: D) Painting

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 4934
Q:

If tan4θ + tan2θ = 2, then sec4θ - sec2θ = ?

 

A) 0 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 4930
Q:

Find the odd word/letters/number pair from the given alternatives.

(A) AE (B) CG (C) JN (D) MO

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 4929
Q:

Ishikha got married 9 years ago. Today her age is 4/3 times her age at the time of marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age three years ago?

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

Explanation:

Let Ishika and her daughter present ages be p and q

 From the given data, 

p = 4/3(p - 9)

 => p = 36 years 

Hence, Ishika's present age = 36 years and

Her daughter's present age = 1/6 x 36 = 6 years 

Now, required her daughter’s age three years ago = 6 - 3 = 3 years.

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Filed Under: Problems on Ages
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: IT Trainer , Database Administration , Bank PO , Bank Clerk , Analyst

13 4924
Q:

A $1000 face value Series S50 compound interest Canada Savings Bond (CSB) was presented to a credit union branch for redemption.What amount did the owner receive if the redemption was requested on:January 17, 2001?

A) 1206 B) 1306
C) 1406 D) 1506
 
Answer & Explanation Answer: B) 1306

Explanation:

I  = ptr

Therefore, the total amount the owner received on January 17, 2001 was

$1295.57 + $10.47 = $1306.04

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 4923
Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 10 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Let the three parts M, N, O.
Then, M:N = 2:3 and N:O = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5

M:N:O = 2:3:24/5

= 10:15:24 => N = 98 x 15/49 = 30.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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12 4921