Aptitude and Reasoning Questions

Q:

Select the odd word from the given alternatives.

A) Mother-in-Law B) Nephew
C) Grandson D) Great grandfather
 
Answer & Explanation Answer: A) Mother-in-Law

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

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Q:

3x2-14x+16=05y2-16y+12=0

A) x > y B) x < y
C) x=y or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: C) x=y or relation cannot be established between x and y

Explanation:

3x2 – 14x + 16=0

3x2 –6x – 8x + 16=0

3x (x-2) – 8 (x-2)

(3x-8) (x-2)=0

x=8/3 or 2

5y2 – 16y + 12=0

5y2 – 10y – 6y + 12=0

5y (y-2) – 6 (y-2)=0

(5y-6) (y-2)=0

y=6/5 or 2

Can't be determined.

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Filed Under: Simplification

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Q:

To make a profit of 20% the selling price of the good is Rs. 240. The cost price of the good is,

A) Rs. 200 B) Rs. 210
C) Rs. 220 D) Rs. 230
 
Answer & Explanation Answer: A) Rs. 200

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

After two successive discounts of 20% and 12% an article is sold for Rs 16896. What is the marked price (in Rs) of the article?

A) 21500 B) 23800
C) 22000 D) 24000
 
Answer & Explanation Answer: D) 24000

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Deepak found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for ` 50more, he would have made a profit of 5%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 5% profit ?

A) 100% B) 200%
C) 75% D) 85%
 
Answer & Explanation Answer: B) 200%

Explanation:

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Filed Under: Profit and Loss

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Q:

If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?

A) 36 B) 56
C) 64 D) 46
 
Answer & Explanation Answer: A) 36

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

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Q:

Ticket for an adult is Rs 1600 and a child is Rs 1200. 1 child goes free with two adults. If a group has 23 adults and 10 children what is the discount the group gets?

A) 25.95 percent B) 24.59 percent
C) 25.77 percent D) 31.60 percent
 
Answer & Explanation Answer: B) 24.59 percent

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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