1499+ Simplification Questions and Answers With Explanation

Q:

If $3 x + 7 = x^{2} + p = 7 x + 5$ , what is the value of P ?

A) 17/2	B) 25/3
C) 33/4	D) 41/5

Answer & Explanation Answer: A) 17/2

Explanation:

$3 x + 7 = 7 x + 5 = > 7 x - 3 x = 2 = > 4 x = 2 = > x = 2$

Now, $3 x + 7 = x^{2} + p = \frac{3}{2} + 7 = \frac{1}{4} + p = > p = \frac{17}{2}$

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability

11 10636

Q:

If a - b = 3, $(a^{2} + b^{2}) = 29$ , find the value of ab.

A) 10	B) 12
C) 15	D) 18

Answer & Explanation Answer: A) 10

Explanation:

2ab= $(a^{2} + b^{2}) - (a^{2} - b^{2})$

29-9=20

=>ab=10

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Filed Under: Simplification - Quantitative Aptitude - Arithmetic Ability

8 10010

Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42	B) 36
C) 48	D) 24

Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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

11 9909

Q:

If $3^{x - y} = 27$ , $3^{x + y} = 243$ then find the x value

A) 2	B) 8
C) 4	D) 1

Answer & Explanation Answer: C) 4

Explanation:

Given that $3^{x - y} = 27$ , $3^{x + y} = 243$

$\Rightarrow 3^{x - y} = 3^{3}, 3^{x + y} = 3^{5}$

=> x-y=3, x+y=5

=> x = 4

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

15 9570

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

17 9335

Q:

What should come in place of question mark (?) in the following question?

115 ÷ 5 + 12 × 6 = ? + 64 ÷ 4 - 35

A) 95	B) 136
C) 102	D) 74

Answer & Explanation Answer:

Explanation:

As per the BODMAS rule, the priority in which the operations should be done is:

Priority wise operations	Symbol
B-Bracket	()
O-of	of
D-Division	/,÷
M-Multiplication	*,x
A-Addition	+
S-Subtraction	-

Note: Addition and subtraction can be treated on same priority (from left to right) when they are in consecutive order.

(115/5) + 12 × 6 = ? + (64/4) – 35 23 + 72 = ? + 16 – 35 95 = ? - 19 95+19 = ? ? = 114

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1 9231

Q:

By how much is three-fifth of 350 greater than four-seventh of 210 ?

A) 90	B) 100
C) 110	D) 120

Answer & Explanation Answer: A) 90

Explanation:

3/5 of 350 - 4/7 of 210 = 210 - 120 = 90.

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16 8883

Q:

The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is

$(u s e π = \frac{22}{7})$

A) 301.71 cm3	B) 310.71 cm3
C) 301.17 cm3	D) 310.17 cm3

Answer & Explanation Answer: A) 301.71 cm3

Explanation:

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

0 8776

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