1499+ Simplification Questions and Answers With Explanation

Q:

The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is :

A) 50	B) 100
C) 150	D) 200

Answer & Explanation Answer: D) 200

Explanation:

Let the number of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).

0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability

19 14785

Q:

In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?

A) 6	B) 10
C) 8	D) 12

Answer & Explanation Answer: D) 12

Explanation:

Let the number of buffaoes be x and number of ducks be y.

Then 4x + 2y = 2(x + y) + 24

=> 2x = 24

=> x = 12.

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18 13367

Q:

The difference of $\frac{1}{8}$ and its reciprocal is equal to :

A) 1/8	B) 4/3
C) 15/16	D) 105/304

Answer & Explanation Answer: D) 105/304

Explanation:

Required difference = 19/16 - 16/19 = 105/304..

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41 13237

Q:

Which of the following statement(s) is/are TRUE?

I . $\frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + . . . + \frac{1}{11 \times 13} = \frac{12}{13}$

II. $\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + . . . + \frac{1}{12 \times 13} = \frac{12}{13}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: B) Only II

Explanation:

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

0 12769

Q:

The highest score in an inning was 3/11 of the total and the next highest was 3/11 of the reminder . If the score differ by 9, the total score was :

A) 110	B) 121
C) 132	D) 143

Answer & Explanation Answer: B) 121

Explanation:

Let the score be x. Then the highest score = 3x/11.

Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121.

3x/11 - 24x/11 = 9 <=> 33x - 24x = 9*121 <=> x= 121..

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17 12064

Q:

In each of these questions, two equations (I) and (II) are given.

$I . 2 x^{2} + 19 x + 42 = 0 II . 4 y^{2} + 43 y + 30 = 0$

A) x > y	B) x < y
C) x ≥ y	D) x ≤ y

Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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2 11010

Q:

How many $\frac{1}{8}$ ' s are there in $37 \frac{1}{2}$ ?

A) 300	B) 400
C) 500	D) 600

Answer & Explanation Answer: A) 300

Explanation:

$37 \frac{1}{2} = \frac{75}{2}$

Required number = $\frac{\frac{75}{2}}{\frac{1}{8}}$ = 75 x 4 = 300

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

23 10957

Q:

Simplify the following expression?

40% of ( $\frac{24}{4} x ?$ ) = 48

A) 24	B) 22
C) 20	D) 18

Answer & Explanation Answer: C) 20

Explanation:

We know that

$40 % = \frac{40}{100} = \frac{2}{5} \Rightarrow \frac{2}{5} x \frac{24}{4} x ? = 48 ? = \frac{48 x 5 x 4}{2 x 24} = 20$

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

3 10744

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