Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 15 – 225 B) 25 – 625
C) 35 – 1225 D) 45 – 2525
 
Answer & Explanation Answer: D) 45 – 2525

Explanation:
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Q:

For x > 0, what is the minimum value of  x + x+22x?

A) 1 B) 2
C) 2.5 D) 1.5
 
Answer & Explanation Answer: C) 2.5

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Q:

If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is

A) 7:5 B) 5:7
C) 4:7 D) 4:3
 
Answer & Explanation Answer: B) 5:7

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Filed Under: Percentage
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Q:

A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases hisspeed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?

A) 1 B) 1.25
C) 1.125 D) 1.5
 
Answer & Explanation Answer: C) 1.125

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Filed Under: Time and Distance
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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
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Q:

If a = 2 , b = ­3 then the value of 27a3 - 54a2b + 36ab2 - 8b3 is

A) 1562 B) 1616
C) 1676 D) 1728
 
Answer & Explanation Answer: D) 1728

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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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Q:

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. 5x2+ 28x = -15II. 3y2+ 11y + 6 = 0

A) X > Y B) X ≥ Y
C) X < Y D) X ≤ Y
 
Answer & Explanation Answer:

Explanation:

5x^2+ 28x = -15x = (-3/5, -5)

II. 3y^2+ 11y + 6 = 0y = (-3, -2/3)

So Relationship cannot be established

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Filed Under: Simplification
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