4000+ Latest Bank Exams Questions and Answers with Explanation

Q:

Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is

A) 22m/s	B) 33m/s
C) 44m/s	D) 55m/s

Answer & Explanation Answer: A) 22m/s

Explanation:

let each wheel make x revolutions per sec. Then $[(2 π * \frac{7}{2} * x) + (2 π * 7 * x)] * 10 = 1980$ $(2 * \frac{22}{7} * \frac{7}{2} * x) + (2 * \frac{22}{7} * \frac{7}{2} * x) = 198$

$66 x = 198$

distance moved by smaller wheel in 3 revolutions

= $2 * \frac{22}{7} * \frac{7}{2} * 3 = 66 c m$

speed of smaller wheel = $\frac{66}{3}$ m/s = 22m/s

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Filed Under: Area
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5 13009

Q:

Which of the following Venn diagrams correctly represents the following classes

Lion, Tiger, Animals

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

3 13005

Q:

A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?

A) Rs. 820	B) Rs. 830
C) Rs. 840	D) Rs. 850

Answer & Explanation Answer: B) Rs. 830

Explanation:

Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60

A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13

A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

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Filed Under: Partnership
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7 12991

Q:

The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train ?

A) 68 kmph	B) 52 kmph
C) 76 kmph	D) 50 kmph

Answer & Explanation Answer: A) 68 kmph

Explanation:

Let the speed of the faster train be 'X' kmph,
Then their relative speed= X - 48 kmph
To cross slower train by faster train,
Distance need to be cover = (400 + 600)m = 1 km. and
Time required = 180 sec = 180/3600 hr = 1/20 hr.
Time = Distance/Speed
=> 1/20 = 1/(x-48)
X = 68 kmph

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Filed Under: Problems on Trains
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14 12986

Q:

Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?

A) 92.8%	B) 84.23%
C) 87.14%	D) 94.1%

Answer & Explanation Answer: A) 92.8%

Explanation:

Here, x = 40 and y = 30;
Therefore second number
= [[ $\frac{100 + y}{100 + x}$ ] x 100 ]% of first number
= [[ $\frac{100 + y}{100 + x}$ ] x 100 ]% of first number
Second number = 92.8% of the first number.

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Filed Under: Percentage
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12 12986

Q:

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

A) 3/2	B) 5/2
C) 7/2	D) 9/2

Answer & Explanation Answer: A) 3/2

Explanation:

R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius

Volume of cylinder/Volume of hemisphere = $\frac{{πr}^{3}}{\frac{2}{3} {πr}^{3}}$

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Filed Under: Volume and Surface Area
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16 12983

Q:

The value of x satisfying the following relation:

$\log_{\frac{1}{2}} (x) = \log_{2} (3 x - 2)$

A) 1/3	B) -1/3
C) 3	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

But at x=-1/3, log x is not defined.

The only admissible value of x is 1.

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Filed Under: Logarithms
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16 12959

Q:

In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
SCD, TEF, UGH, ____, WKL

A) UJI	B) VIJ
C) XLM	D) DOP

Answer & Explanation Answer: B) VIJ

Explanation:

First letter series S,T,U,V
second and third letter series CD,EF,GH,IJ...
so answer = VIJ

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Filed Under: Alphabet Test
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7 12951

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