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Q:

The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ?

A) Rs. 6000	B) Rs. 5550
C) Rs. 7500	D) Rs. 6580

Answer & Explanation Answer: A) Rs. 6000

Explanation:

Let the sum invested be Rs. P

Let the rate of interest be R% per annum

=> Interest earned for 5 years = (P x 5 x R/100) = PR/20

Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)%

=> SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100

Hence,

PR/20 + 10P/100 = PR/20 + 600

=> P = 6000

Therefore, the sum invested is Rs. 6000

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Filed Under: Simple Interest
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Q:

Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?

A) 31 years	B) 37 years
C) 46 years	D) 29 years

Answer & Explanation Answer: A) 31 years

Explanation:

Let the present age of Pinky be x years

Then the age of Mary is x - 12 years

After 3 years,

Ratio of $\frac{M a r y}{P i n k y} = \frac{x - 9}{x + 3} = \frac{5}{8}$

8x - 72 = 5x +15

=> 3x = 87

=> x = 29

=> Age of Pinky = 29 years

=> Age of Mary = 29 - 12 = 17 years

Present age of Sam = 29 + 17 = 46

Before 15 years Sam age = 46 - 15 = 31 years.

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Filed Under: Problems on Ages
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Q:

The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A) 12.50 cm	B) 14.21 cm
C) 15.98 cm	D) 17.08 cm

Answer & Explanation Answer: D) 17.08 cm

Explanation:

Let the length of the rectangle = L cm

Then the breadth of the rectangle = (L - 10) cm

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = $\sqrt{L^{2} + B^{2}}$ = $\sqrt{16^{2} + 6^{2}}$ = 17.08 cm

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Filed Under: Area
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Q:

Find the length of a train if it takes 10 seconds to cross a pole and double of this time to cross a platform of length 200 mts ?

A) 180 mts	B) 190 mts
C) 200 mts	D) 210 mts

Answer & Explanation Answer: C) 200 mts

Explanation:

Let the length of the train be 'L' mts

let the speed of the train be 'S' m/s

Given it crosses a pole in 10 sec=> L/S = 10 ......(1)
Given it takes 20 sec (double of pole) to cross a platform of length 200 mts

=> (L + 200)/S = 20

=> L/S + 200/S = 20

But from (1) L/S = 10

=> 200/S = 20 - 10

=> S = 20 m/s

Then, from (1)

=> L = 10 x 20 = 200 mts.

Hence, the length of the train = 200 mts.

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Filed Under: Problems on Trains
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Q:

Read each part of the sentence to find out if there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer.

$\frac{A s m u c h a s i a d m i r e h i m f o r h i s t a l e n t}{(1)} / \frac{a n d e n d e a v o r t o a c h i e v e s u c c e s s}{(2)} /$

$\frac{I c a n n o t f o r g i v e h i m f o r b e i n g s o}{(3)} / \frac{r u d e t o t h e n o t s o w e l l t o d o o n e s}{(4)}$

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

Answer & Explanation Answer: A) (1)

Explanation:

The error lies in part (1).

As the phrase 'as much as' needs to be replaced with 'much as I'. This is because we use 'as much as' for comparing two qualities or things. But here in the given sentence a contrast is given in the latter part of the sentence. So we need a conjunction like 'even though' 'although' etc...

'Much as I' also serves the same purpose.

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Filed Under: Verification of Truth of the statement
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Q:

Yisrael Kristal, who died recently was certified by Guinness World Records as the _________.

A) World's Tallest Man	B) World's Oldest Man
C) World's Youngest Man	D) World's Smallest Man

Answer & Explanation Answer: B) World's Oldest Man

Explanation:

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Filed Under: Famous Personalities
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Q:

In an old Palace there are 50 stairs to go on top floor. Each is 20 cm high, 30 cm wide and 60 cm long. If all the stairs are re-plastered at the rate of Rs. 4 per 100 sq.cm. What is the expenditure ?

A) Rs. 4680	B) Rs. 7600
C) Rs. 6000	D) Rs. 5480

Answer & Explanation Answer: C) Rs. 6000

Explanation:

Total are of all stairs = 50 (20x60 + 30x60)

= 50 (1200 + 1800)

= 50 x 3000

= 150000 sq cm.

Given rate of 100 sq cm = Rs. 4

Then for 150000 sq. cm = ?

=> 4 x 150000/100 = Rs. 6000

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Filed Under: Area
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Q:

R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?

A) Rs. 90500	B) Rs. 87500
C) Rs. 88900	D) Rs. 90000

Answer & Explanation Answer: D) Rs. 90000

Explanation:

Ratio of investments for 1 year

=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)

=> (P : Q : R) = 28 : 39 : 60

Now R share = 190500 x 60/127 = Rs. 90000.

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Filed Under: Partnership
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