Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cosC + cosD = x, then value of x is

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

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2043
Q:

A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?

 

A) 4 B) 5
C) 6 D) 8
 
Answer & Explanation Answer: A) 4

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Filed Under: Simple Interest
Exam Prep: Bank Exams

6 2041
Q:

A parallelogram PQRS, the length of whose sides are 8 cm and 12 cm, has one diagonal 10 cm long Ile length of the other diagonal is approximately:

A) 17.8 cm B) 17.5 cm
C) 17 cm D) 18 cm
 
Answer & Explanation Answer: A) 17.8 cm

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Filed Under: Area

10 2040
Q:

A man spend 7.5% of his money and after spending 75% of the remaining, he had Rs. 370 left. How much money did he have

A) 1200 B) 1600
C) 1500 D) 1400
 
Answer & Explanation Answer: B) 1600

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Filed Under: Percentage
Exam Prep: Bank Exams

3 2039
Q:

In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels always come together?

A) 720 B) 1440
C) 1800 D) 3600
 
Answer & Explanation Answer: B) 1440

Explanation:

Given word is THERAPY.

Number of letters in the given word = 7

Number of vowels in the given word = 2 = A & E

Required number of different ways, the letters of the word THERAPY arranged such that vowels always come together is

6! x 2! = 720 x 2 = 1440.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

13 2039
Q:

The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be

A) 14:17 B) 17:19
C) 11:12 D) 10:11
 
Answer & Explanation Answer: D) 10:11

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 2038
Q:

If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?

A) k/2 B) 2k
C) (k – 1)/2 D) (k + 1)/2
 
Answer & Explanation Answer: C) (k – 1)/2

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Filed Under: Simplification
Exam Prep: Bank Exams

11 2034
Q:

The ratio of number of boys and girls in a class is 2 : 3. The average weight of boys and girls in the class is 18 kg and 21 kg respectively. What is the average weight (in kgs) of all the boys and girls together?

A) 99/5 B) 101/5
C) 109/6 D) 96/5
 
Answer & Explanation Answer: A) 99/5

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Filed Under: Average
Exam Prep: Bank Exams

0 2032