Bank Exams Questions

Q:

Equal distance is covered by a boat in upstream and in downstream in total 5 hours. Sum of speed of a boat in upstream and downstream is 40 km/hr. Speed of boat in still water is 600%
more than the speed of stream. Find theapproximate distance covered by boat in downstream (in km).

A) 45 B) 50
C) 55 D) 60
 
Answer & Explanation Answer: B) 50

Explanation:

let speed of boat= X, speed of stream= Y
Upstream speed= X-Y
Downstream speed= X+Y
Sum of upstream & downstream= (X-Y) +(X+Y)= 2X
So, 2X= 40
X= 20 km/hr
Speed of boat : speed of stream= 600+100 :100= 7:1
So speed of Stream= 20/7 km/hr
ATQ, D/( X-Y) + D/( X+Y) = 5
D/(120/7) + D/(160/7)= 5
D= 480×5/49= 48.97 km= 50 Km(approx)

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Filed Under: Boats and Streams
Exam Prep: Bank Exams , GATE

10 4726
Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704 B) Rs. 854
C) Rs. 893 D) Rs. 914
 
Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

S.I. = PTR100 P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1

From given data, P = Rs. 8625

Now, C.I  = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80

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Filed Under: Compound Interest
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11 4726
Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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Filed Under: Simplification
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4 4725
Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months B) 5months
C) 8months D) 3months
 
Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

 

Time = 100×TDPW×R

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Filed Under: True Discount
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6 4725
Q:

The effective annual rate of interest corresponding to nominal rate of 6% per annum payable half yearly is

A) 5% B) 6%
C) 7% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

amount=[100(1+3/100)^2]=Rs.106.09

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Filed Under: Compound Interest
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1 4724
Q:

Which of the following is a nucleotide found in DNA?

A) Deoxyribose + Phosphate Group + Polymerase B) Adenine + Phosphate Group + Thymine
C) Deoxyribose + Phosphate Group + Thymine D) Cytosine + Phosphate Group + Uracil
 
Answer & Explanation Answer: C) Deoxyribose + Phosphate Group + Thymine

Explanation:

We know that, the nucleotide in DNA is of the form deoxyribose + phosphate group + polymerase.

 

Which_of_the_following_is_a_nucleotide_found_in_DNA1553496102.jpg image

 

Hence, Deoxyribose + Phosphate Group + Thymine is the only option in that form of nucleotide in DNA.

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Filed Under: Biology
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3 4721
Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

 

Therefore, the possible arrangements are 5.

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Filed Under: Permutations and Combinations
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8 4720
Q:

Which is a pair of allotropes?

A) carbon-16 and carbon-12 B) diamond and graphite
C) carbon dioxide and graphite D) diamond and carbon dioxide
 
Answer & Explanation Answer: B) diamond and graphite

Explanation:

Allotropes are the different physical forms of an element. Here in the given options, diamond and graphite are the pair of allotropes of carbon.

 

Some more examples are Molecular oxygen and ozone are pair of allotropes, Black and red phosphorous are also pairs of allotropes.

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Filed Under: Chemistry
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3 4718