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Q:

Income and consumption are ___________.

A) directly related	B) partially related
C) inversely related	D) unrelated

Answer & Explanation Answer: A) directly related

Explanation:

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Filed Under: Indian Economy
Exam Prep: Bank Exams , GATE
Job Role: Bank Clerk , Bank PO

Q:

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter

A) 92	B) 48
C) 46	D) 96

Answer & Explanation Answer: C) 46

Explanation:

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

Q:

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer

$I . x^{2} = 529 II . y = \sqrt{529}$

A) x>y	B) x≥y
C) x<y	D) x≤y

Answer & Explanation Answer: D) x≤y

Explanation:

x = ±23

And, y = 23

hence, x ≤ y

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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

Q:

In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers

I. 2x ² –21x + 54 = 0

II. y ² –14y + 49 = 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: C) x < y

Explanation:

I. 2x ² –21x + 54 = 0(x -6)(2x -9)x =+6, +9/2

II. y ² –14y + 49 = 0(y-7) (y-7)y = +7, +7y > x

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

A) x > y	B) x>y
C) x < y	D) x

Answer & Explanation Answer:

Explanation:

x^2+ 30x + 81 = 0
x^2+ 27x + 3x + 81 = 0
x = -3, -27
y^2-9y -162 = 0
y^2-18y + 9y -162 = 0
y = -9, 18
Hence, no relationship can be established between x and y

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Filed Under: Simplification
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

Q:

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

$I . 5 x^{2} + 28 x = - 15 II . 3 y^{2} + 11 y + 6 = 0$

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

Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre	B) 380 sq metre
C) 360 metre	D) 400 sq metre

Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

Q:

Both S.I. and C.I. is calculated with a similar rate of 10% per annum on a sum of rupees. If C.I. is calculated yearly for two years, then for what period must S.I. be evaluated such that S.I. = C.I.?

A) 4.2 years	B) 2.1 years
C) 1.1 years	D) 1.4 years

Answer & Explanation Answer: B) 2.1 years

Explanation:

Let time period of S.I. be T years.

Then for a principal amount, say P,

ATQ, as, S.I. = C.I. for rate =10%p.a. and

time for C.I. = 2(P x 10 x T)/100 = P{[ (100+10)/100 ]2-1}T/10 = [ 110/100 ]2–1 = [(11/10)2–1] = (121-100)/100T/10 = 21/100T = 21/10 = 2.1 years

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

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