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Q:

 If log 2 = 0.30103, Find the number of digits in 256 is

A) 17 B) 19
C) 23 D) 25
 
Answer & Explanation Answer: A) 17

Explanation:

log(256) =56*0.30103 =16.85768.

 

Its characteristics is 16.

 

Hence, the number of digits in 256 is 17.

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

A) 0.75D B) 0.76D
C) 0.765D D) None of the above
 
Answer & Explanation Answer: C) 0.765D

Explanation:

If the price is reduced by 15 %, then the new price will be 0.85D

If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

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Filed Under: Percentage
Exam Prep: GRE

Q:

If the base of a pyramid is a square of 6cm side and its slant height is 5cm. Find its slant surface area.

A) 50 sq.cm B) 30 sq.cm
C) 60 sq.cm D) 40 sq.cm
 
Answer & Explanation Answer: C) 60 sq.cm

Explanation:

Slant surface of a pyramid=1/2 perimeter of base slantheight

=1/2 x (4  x Side of squarebase) x Slantheight

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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Q:

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A) 50% B) 40%
C) 30% D) 20%
 
Answer & Explanation Answer: A) 50%

Explanation:

Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Volume of rod = πr2h = πr2×r = πr3  

Volume of one spherical ball =r/2 

Volume of the spherical ball = 43πr38  

Number of balls=Volumeof rod/volumeof one ball

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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Q:

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5% B) 33.1%
C) 32.1% D) 53.1%
 
Answer & Explanation Answer: B) 33.1%

Explanation:

v1= 13πr12h1

 

v2=13πr22h2

 

% Increase in volume = (V2-V1) / (V2*100)

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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Q:

The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.

A) rs.1175 B) rs.1375
C) rs.1475 D) rs.1575
 
Answer & Explanation Answer: B) rs.1375

Explanation:

PW = 100×Amount100+R×T 

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Filed Under: True Discount
Exam Prep: Bank Exams
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Q:

An atom has 7 electrons in its M - shell and contains 18 neutrons in its nucleus. What is its mass number

A) 25 B) 27
C) 35 D) 43
 
Answer & Explanation Answer: C) 35

Explanation:

According to Bohr model, Each shell can occupy 2n2 electrons in their orbits where n=1,2,3.. for K,L,M,..

 

The atom has 2 electrons in k, 8 electrons in L and 7 electrons in M = 2 + 8 + 7 = 17

 

And given that its nucleus has 18 neutrons

 

=> its mass number = number of (electrons + neutrons ) = 17 + 18 = 35

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Filed Under: Chemistry