Aptitude and Reasoning Questions

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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Q:

A wholesaler sells a watch to a retailer at a profit of 8% and the retailer sells it to a customer at a profit of 12%. If the customer pays Rs. 8,448 what had it cost (approximately) to the wholesaler (in Rs)?

A) 6984 B) 6082
C) 7120 D) 7022
 
Answer & Explanation Answer: A) 6984

Explanation:
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Filed Under: Profit and Loss
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

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

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Q:

B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

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

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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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:

If x+1x=5, then the value of 6xx2+x+1 is,

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

Explanation:
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Q:

A student multiplied a number by 6/13 instead of 13/6. What is the percentage error in the calculation?

A) 369.44 percent B) 39.35 percent
C) 184.72 percent D) 78.7 percent
 
Answer & Explanation Answer: D) 78.7 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 3x - 4 > 2 - x/3 and 3x + 5 > 4x - 5; then find the value of x?

A) 7 B) 10
C) -11 D) 1
 
Answer & Explanation Answer: A) 7

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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