Quantitative Aptitude - Arithmetic Ability Questions

Q:

If sinC - sinD = x, then value of x is

A) 2sin[(C+D)/2]cos[(C-D)/2] B) 2cos[(C+D)/2]cos[(C-D)/2]
C) 2cos[(C+D)/2]sin[(C-D)/2] D) 2sin[(C+D)/2]sin[(D-C)/2]
 
Answer & Explanation Answer: C) 2cos[(C+D)/2]sin[(C-D)/2]

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Filed Under: Simplification
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Q:

What will be the net discount (in %) of two successive discounts of 15% and 35%?

A) 44.75 B) 51.25
C) 55.25 D) 56.25
 
Answer & Explanation Answer: A) 44.75

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Filed Under: Percentage
Exam Prep: Bank Exams

4 2057
Q:

15% of a number, when added to 30% of another, gives 24% of the sum of the two numbers. The bigger number is 4 more than the smaller one. What are the numbers?

A) 6, 10 B) 8, 12
C) 10, 14 D) 12, 16
 
Answer & Explanation Answer: B) 8, 12

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Q:

If 3x= 4y= 12, then z is equal to

A) xy B) x + y
C) xy/x+Y D) 4x +3y
 
Answer & Explanation Answer: C) xy/x+Y

Explanation:
Taking log of all 3 we get
xln3 = yln4 =
zln12 = k
z = k/ln12 = k / ln(
3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)
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Q:

The lengths of the diagonals of a rhombus are 8 cm and 6 cm. The area of rhombus is:

A) 96 cm2 B) 60 cm2
C) 48 cm2 D) 24 cm2
 
Answer & Explanation Answer: D) 24 cm2

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Filed Under: Area
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Q:

The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?

A) 45 years B) 55 years
C) 65 years D) 40 years
 
Answer & Explanation Answer: B) 55 years

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Filed Under: Problems on Ages
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Q:

In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

A) 1 : 3 B) 3 : 7
C) 13 : 7 D) 9 : 4
 
Answer & Explanation Answer: A) 1 : 3

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Filed Under: Alligation or Mixture
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5 2052
Q:

If a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?

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

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