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Q:

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?

A) 40 days B) 36 days
C) 32 days D) 34 days
 
Answer & Explanation Answer: A) 40 days

Explanation:

Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
10 woman's 1 day work = (1/400 x 10) = 1/40.

Hence, 10 women will complete the work in 40 days.

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Filed Under: Time and Work
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19 17864
Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ?

A) 5 B) 4
C) 7 D) 6
 
Answer & Explanation Answer: A) 5

Explanation:

Let the number be x. Then,

 

3x2 - 4x = x + 50

 

3x2- 5x - 50 = 0

 

(3x + 10)(x - 5) = 0

 

x = 5

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Filed Under: Arithmetical Reasoning
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16 17860
Q:

Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?

A) Saturday B) Sunday
C) Friday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

We know that, After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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Filed Under: Calendar
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70 17793
Q:

Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ?

A) 8 years B) 9 years
C) 10 years D) 11 years
 
Answer & Explanation Answer: C) 10 years

Explanation:

Let the age of the daughter today be ‘x’ years.
Mother’s age today = 3x years
After 10 years, we have
3x + 10 = 2(x + 10)
x = 10 years.

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Filed Under: Problems on Ages
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20 17732
Q:

A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?

A) 1.5 hrs B) 1 hrs
C) 2.5 hrs D) 2 hrs
 
Answer & Explanation Answer: D) 2 hrs

Explanation:

Speed in downstream = 96/8 = 12 kmph

Speed of current = 4 km/hr

Speed of the boatman in still water = 12 – 4 = 8 kmph

Speed in upstream = 8 – 4 = 4 kmph

Time taken to cover 8 km upstream = 8/4 = 2 hours.

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Filed Under: Boats and Streams
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18 17723
Q:

The simple interest on Rs. 25 for 4 months at the rate of 3 paise per rupee per month is :

A) 240 paise B) Rs. 1.40
C) Rs. 2.20 D) Rs. 3
 
Answer & Explanation Answer: D) Rs. 3

Explanation:

I = PTR/100
I = 25 x 4 x 0.03/100
I = 0.03 x 100 = 300 Ps = Rs. 3

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Filed Under: Simple Interest
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24 17678
Q:

A is the father of B. But B is not the son of A. Then what is B to A?

A) Grandfather B) Son-in-law
C) Granddaughter D) Daughter
 
Answer & Explanation Answer: D) Daughter

Explanation:

The relation is father and daughter. As we go with male gender, will be son of A. But it is given in the question that B is not the son of A. Hence, te only possile is B is female and B is daughter of A.

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Filed Under: Blood Relations
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44 17672
Q:

The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 

A) 444 B) 344
C) 244 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens = 3x + 2x2 = 180

5x = 360

=> x = 72


Hence, the number of pencils = 2x = 72 x 2 = 144.

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Filed Under: Ratios and Proportions
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36 17658