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Q:

A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ?

A) 160 B) 120
C) 140 D) 180
 
Answer & Explanation Answer: D) 180

Explanation:

Given total number of cows = k
Now, 1st son share = k/2
2nd son share = k/4
3rd son share = k/5
4th son share = 9

(k) + (k/4) + (k/5) + 9 = k
=> k - (19k/20) = 9
=> (20k-19k)/20 = 9
=> k = 180.

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Filed Under: Percentage
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17 10875
Q:

An automobile financier claims to be lending money at simple interest, but he includesthe interest every six months for calculating the principal. If he is charging an interest of10%, the effective rate of interest becomes:

A) 10% B) 10.25%
C) 10.5% D) none of these
 
Answer & Explanation Answer: B) 10.25%

Explanation:

Let the sum be Rs. 100. Then,

S.I. for first 6 months = Rs.[ (100 x 10 x 1)/(100 x 2) ]= Rs.5

S.I. for last 6 months =Rs.[(102 x 10 x 1)/(100 x 2) ] = Rs.5.25

So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25

Effective rate = (110.25 - 100) = 10.25%

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Filed Under: Simple Interest
Exam Prep: GRE

14 10857
Q:

In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?

A) 8% excess B) 9% deficit
C) 12% excess D) 11% deficit
 
Answer & Explanation Answer: A) 8% excess

Explanation:

Since  Area of Rectangle = side1 x side2
Therefore, error% in area
= x + y + xy100 %
= [20 - 10 + ( -10 x 20)/100]% or 8%
i.e. 8% excess.

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Filed Under: Percentage
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7 10792
Q:

A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) 25% B) 21.14%
C) 22.54% D) 27.32%
 
Answer & Explanation Answer: C) 22.54%

Explanation:

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.  

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276 

 

Profit % = ProfitC.P×100  = 2761224×100 = 22.54%.

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Filed Under: Profit and Loss
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8 10750
Q:

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A) 60 mts B) 120 mts
C) 240 mts D) 360 mts
 
Answer & Explanation Answer: D) 360 mts

Explanation:

Speed of the Train K is given by s = d/t = 240/20 = 12 m/s
Distance covered by Train K in 50 seconds = 12 x 50 = 600 mts.
But it crosses Train L in 50 seconds
Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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Filed Under: Problems on Trains
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10 10726
Q:

Sullen is to moody as monotonous is to what

A) Repetitious B) Attractive
C) Drab D) Varied
 
Answer & Explanation Answer: A) Repetitious

Explanation:

Here the given words, sullen and moody are synonyms to each other which means that gloomy, resentful. Similarly, repetitious and monotonous are synonyms to each other which means dull, tedious.

 

Hence, Sullen : moody :: monotonous : repetitious.

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Filed Under: Analogy
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8 10724
Q:

In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ?

A) TZTSTUN B) TZTSTNF
C) TZTUTNF D) TZTNTFS
 
Answer & Explanation Answer: B) TZTSTNF

Explanation:

ARC -> CRA ->(+1) DSB
    H ->     H ->(-1) G
IVE  ->  EVI ->(+1) FWJ

 Similarly,

 SYS -> SYS ->(+1) TZT
    T ->     T ->(-1) S
EMS -> SME ->(+1) TNF

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Filed Under: Alphabet Test
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18 10638
Q:

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of Interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A) 3.6 B) 6
C) 18 D) cannot be determined
 
Answer & Explanation Answer: B) 6

Explanation:

Let rate = R% and time = R years.

 

Then, 1200×R×R100=432

 12R2=432

 

=> R = 6.

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

6 10575