Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cot(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 -­ cosA)] B) cosecA -­ cotA
C) √[(1 -­ cosA)/2] D) √[(1 + cosA)/2]
 
Answer & Explanation Answer: A) √[(1 + cosA)/(1 -­ cosA)]

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 2 pair of trouser is offered free on purchase of 3 pair of trousers priced Rs 900 each what is the effective discount on each pair of trouser?

A) 40 percent B) 33.33 percent
C) 30 percent D) 20 percent
 
Answer & Explanation Answer: A) 40 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If the expression px3  2x2  qx + 18 is completely divisible by (x2  9), then what is the ratio between p and q respectively?

A) 1:9 B) 1:3
C) 3:1 D) 9:1
 
Answer & Explanation Answer: A) 1:9

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Filed Under: Simplification
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Q:

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5 B) 6
C) 4 D) 3
 
Answer & Explanation Answer: C) 4

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The ratio of present ages of Raman and Lamba is 7 : 5. After 6 years age of Raman will be 48 years. What is the present age (in years) of Lamba?

A) 30 B) 25
C) 35 D) 40
 
Answer & Explanation Answer: A) 30

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Filed Under: Problems on Ages

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Q:

The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture?

A) 21 B) 24
C) 35 D) 32
 
Answer & Explanation Answer: A) 21

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

A) 17:17 B) 289:48
C) 8:6 D) 3:4
 
Answer & Explanation Answer: D) 3:4

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

A) I and II B) I and III
C) Only III D) I and either II or III
 
Answer & Explanation Answer:

Explanation:

From I and II,
Length = 3x = 48 m
∴ x = 16
Breath = 2x = 32 m
Hence, Area of floor = 48 × 32
Cost of flooring = 48 × 32 × 850 = ₹ 1305600
From I and III, 2(l +b) = 160
2(3x + 2x) = 160
10x = 160
∴ x = 16
∴ Length = 3 × 16 = 48 m
Breadth = 2x = 32m
Cost of flooring = (48 × 32) × 850 = ₹ 1305600
Similarly, from II and III, we can find
l = 48 m
b = 32 m
and Total cost of flooring = ₹ 1305600

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