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Q:

If a denotes x , b denotes ÷ , c denotes + and d denotes , then 8 a 3 c 24 b 12 d 19 = ?

A) 17	B) 7
C) 14	D) 8

Answer & Explanation Answer: B) 7

Explanation:

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Filed Under: Verbal Reasoning - Mental Ability

Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

$x^{2} - 11 x + 28 = 0 y^{2} - 18 y + 81 = 0$

A) x > y	B) x < y
C) x=y, or relation cannot be established between x and y	D) x ≥ y

Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Filed Under: Simplification

Q:

$3 x^{2} - 14 x + 16 = 0 5 y^{2} - 16 y + 12 = 0$

A) x > y	B) x < y
C) x=y or relation cannot be established between x and y	D) x ≥ y

Answer & Explanation Answer: C) x=y or relation cannot be established between x and y

Explanation:

3x2 – 14x + 16=0

3x2 –6x – 8x + 16=0

3x (x-2) – 8 (x-2)

(3x-8) (x-2)=0

x=8/3 or 2

5y2 – 16y + 12=0

5y2 – 10y – 6y + 12=0

5y (y-2) – 6 (y-2)=0

(5y-6) (y-2)=0

y=6/5 or 2

Can't be determined.

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Filed Under: Simplification

Q:

From the given alternative words, select the word which cannot be formed using the letters of the given word :

ORGANISATION

A) GRANT	B) NATION
C) GIANTS	D) ORANGE

Answer & Explanation Answer: D) ORANGE

Explanation:

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Filed Under: Verbal Reasoning - Mental Ability

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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Filed Under: Simplification

Q:

In each of the following questions two equations I and II are given. Solve both the equations and give answer:
$I . x^{2} + 2 x - 195 = 0 II . y^{2} + 30 y + 225 = 0$

A) x = y or relation can’t be established between x and y	B) x > y
C) x < y	D) x ≥ y

Answer & Explanation Answer: D) x ≥ y

Explanation:

I. x2 + 2x - 195 = 0 = (x+15) (x-13) => x = -15, 13

II. y2 + 30y + 225 = 0 = (y+15) (y+15) => y = -15, -15

So x ≥ y

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$I . 2 x^{2} - 13 x - 189 = 0 II . 2 y^{2} - 3 y - 189 = 0$

A) x>y	B) x≥y
C) x<y	D) x≤y

Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Filed Under: Simplification

Q:

In the given question, an idiom/phrase highlighted in bold is given in a sentence. Choose the most suitable meaning of the idiom/phrase.

You must not waste your leisure time doing nothing, rather you should engage yourself in such activities that will blow off steam and recharge you for the future endeavours.

A) Release surplus energy	B) Take steam bath
C) To make someone fidgety	D) To exercise the brain

Answer & Explanation Answer: A) Release surplus energy

Explanation:

The idiom “blow off steam” means to express one’s anger, usually noisily and harmlessly, thereby relieving one’s tension. The above sentence states that one should not waste one’s time and utilise it in releasing negative energies to get charged up. Only option 1 goes with this meaning, hence option 1 is correct.

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Filed Under: English

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