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Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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Filed Under: Problems on Trains
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Q:

An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ?

A) 10.25 % B) 8.16 %
C) 9.63 % D) 0.16 %
 
Answer & Explanation Answer: B) 8.16 %

Explanation:

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.

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Filed Under: Simple Interest
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Q:

Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?

A) 10.769 % B) 11.23 %
C) 10.4 % D) 9.87 %
 
Answer & Explanation Answer: A) 10.769 %

Explanation:

I      II     III

65   58   100

65 -------- 7
100 ------ ?  => 10.769%

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Filed Under: Percentage
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Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

A) 17 B) 19
C) 13 D) 11
 
Answer & Explanation Answer: C) 13

Explanation:

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13 

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Filed Under: Problems on Numbers
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Q:

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

A) 12 & 7 B) 13 & 8
C) 15 & 10 D) 14 & 9
 
Answer & Explanation Answer: A) 12 & 7

Explanation:

x – y = 5

4x – 6y = 6

x = 12 y = 7

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Filed Under: Arithmetical Reasoning
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Q:

The average age of seven persons sitting in a row facing east is 26 years. If the average age of the first three persons is 19 years and the average age of the last three persons is 32 years, then find the age of the person sitting in the middle of the row ?

A) 32 yrs B) 29 yrs
C) 24 yrs D) 27 yrs
 
Answer & Explanation Answer: B) 29 yrs

Explanation:

Total age seven persons = (26 x 7)years
Total age of the first three persons and the last three persons are (19 x 3) years and (32 x 3) years respectively.
Age of the person sitting in the middle of the row = 26 x 7 - 19 x 3 - 32 x 3 = 182 - 57 - 96 = 29 years.

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Filed Under: Problems on Ages
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Q:

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ?

A) 36 yrs B) 38 yrs
C) 40 yrs D) 42 yrs
 
Answer & Explanation Answer: C) 40 yrs

Explanation:

Let the mother's present age be x years.

Then, the person's present age = 2/5 x years.

(2x/5 + 8) = 1/2 (x + 8)

2(2x + 40) = 5(x + 8) => x = 40.

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Filed Under: Problems on Ages
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Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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Filed Under: Area
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