Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both, the builder and the destroyer were initially set to work together on level ground. But after 7 hours the destroyer was taken out. What was the total time (in hrs) taken to build the wall ?

A) 17 B) 15
C) 24 D) 35
 
Answer & Explanation Answer: B) 15

Explanation:
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Q:

If the true discount on sum due 2 years hence at 14% per annum be Rs. 168, the sum due is

A) Rs. 600 B) Rs. 768
C) Rs. 878 D) Rs. 668
 
Answer & Explanation Answer: B) Rs. 768

Explanation:

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

 

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.

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Filed Under: True Discount
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

A) 1 : 4 : 8 B) 1 : 3 : 5
C) 1 : 3 : 9 D) 1 : 6 : 12
 
Answer & Explanation Answer: B) 1 : 3 : 5

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The incomes of P and Q are in the ratio 4 : 7 and their expenditures are in the ratio 3 : 7. If P saves Rs 10000 and Q saves Rs 7000, then what will be the income (in Rs) of P?

A) 28000 B) 23000
C) 30000 D) 19000
 
Answer & Explanation Answer: A) 28000

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

Select the odd word from the given alternatives.

A) Football B) Basketball
C) Cricket ball D) Volleyball
 
Answer & Explanation Answer: C) Cricket ball

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

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Q:

Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is

A) Rs. 70 B) Rs. 50
C) Rs. 100 D) Rs. 120
 
Answer & Explanation Answer: A) Rs. 70

Explanation:
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Filed Under: Average
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:

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

A) 110 B) 55
C) 220 D) 70
 
Answer & Explanation Answer: A) 110

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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