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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:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km	B) 600 m
C) 4.8 km	D) 1.2 km

Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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Filed Under: Problems on Trains
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

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36	B) 25/36
C) 5/6	D) 1/6

Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

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