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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3 B) 1/2
C) 7/8 D) 4/5
 
Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

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Filed Under: Probability
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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4 4562
Q:

There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?

A) 49450 B) 50540
C) 46587 D) 52487
 
Answer & Explanation Answer: B) 50540

Explanation:

Given G + B= 41 and B = G-1
Hence, G = 21 and B = 20
Now we have 2 options,
1G and 3M
(or)
3G and 1M
(2G and 2M or 0G and 4M or 4G and oM are not allowed),

 

Total : C121×C320+C321×C120= 50540 ways.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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2 4556
Q:

What is the value of sin 46 cos 44+ cos 46 sin 44?

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

Explanation:

sin 46. cos 44+ cos 46. sin 44

sin 46. sin (90 -44)+ cos 46. cos (90 -44)

= sin^2 46 + cos^2 46

= 1

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Filed Under: Simplification
Exam Prep: Bank Exams

3 4552
Q:

125% as a Fraction?

A) 1/4 B) 3/4
C) 5/4 D) 7/4
 
Answer & Explanation Answer: C) 5/4

Explanation:

Literally any percentage means divide by 100.

So 125% = 125100. That can be reduced to 5/4.

To convert to a decimal, you can do long division, dividing 5 into 4.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 4550
Q:

If 6A = 4B = 9C; What is A : B : C?

A) 6 : 4 : 9 B) 9 : 4 : 6
C) 4 : 9 : 6 D) 6 : 9 : 4
 
Answer & Explanation Answer: D) 6 : 9 : 4

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

3 4541
Q:

The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

A) 4500 B) 9000
C) 6000 D) 7500
 
Answer & Explanation Answer: B) 9000

Explanation:
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Filed Under: Ratios and Proportions

5 4539
Q:

Which of the following relation is CORRECT?

 

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: A) Only I

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

0 4538
Q:

A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?

A) 200 B) 33.3
C) 300 D) 25
 
Answer & Explanation Answer: C) 300

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

3 4532