Q:

A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?

A) [7 + (215/345)] days B) [6 + (11/215)] days
C) [6 + (261/315)] days D) [5 + (112/351)] days
 
Answer & Explanation Answer: C) [6 + (261/315)] days

Explanation:

After day 1, A finishes 1/9 of the work.

After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.

After day 3, C finishes 1/5 more of total work. Total finished is 143/315.

So, after day 6, total work finished is 286/315.

 

Now remaining work =  29 /315

 

On day 7, A will work again 

 

Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.

 

Since he takes 9 days to finish the total task, he will need 261/315 of the day. 

 

Total days required is 6 + (261/315) days.

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6 5599
Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55 B) 105
C) 215 D) 148
 
Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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6 3853
Q:

Which country has built the world's largest amphibian aircraft ?

A) Japan B) Russia
C) China D) India
 
Answer & Explanation Answer: C) China

Explanation:

China's amphibian aircraft, which is stated to be the world's largest, has successfully passed engine tests and is expected to make its maiden flight in the first half of the year 2017.

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6 3931
Q:

An express train takes 4 seconds to enter tunnel which is 1 km long. If it is traveling at 108 km an hour, how long will it take to pass completely through the tunnel ?

A) 33 sec B) 37.33 sec
C) 36.43 sec D) 32 sec
 
Answer & Explanation Answer: B) 37.33 sec

Explanation:

Speed = 108 km/hr
enter a tunnel,, means that the train covers a distance equal to its own length
so (108 x 5/18) = x/4 where x= length of train
hence x = 120 mtrs
to pass completely train has to travel a distance = (x + tunnel length) that is 1120 mtrs.
so (1120/t) = (108x5/18)
t = 37.33 sec

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6 4910
Q:

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ?

A) 32 B) 24
C) 26 D) 38
 
Answer & Explanation Answer: A) 32

Explanation:

Let the first number be K and second number be L
Then, 2K + 3L = 100.....(1)
3K + 2L = 120.......(2)
solving (1)&(2), we get
K = 32 and L = 12

Hence the largest number is 32.

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6 10810
Q:

The Central Excise Day (CED) is celebrated on which date in India ?

 

A) February 24 B) February 22
C) February 21 D) February 27
 
Answer & Explanation Answer: A) February 24

Explanation:

The Central Excise Day (CED) is celebrated every year on February 23 in India to commemorate the enactment of the Central Excise and Salt Act, 1944. The Central Excise officers all over the country celebrate this day by organizing seminars, workshops, trade interactions and cultural events etc.

 

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6 23187
Q:

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A) 55.12 cm B) 22.54 cm
C) 42.51 cm D) 38.57 cm
 
Answer & Explanation Answer: D) 38.57 cm

Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

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6 13711
Q:

I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries.

A) suppressing, conflict B) expressing, hostility
C) stifling, temperance D) rousing, wrath
 
Answer & Explanation Answer: A) suppressing, conflict

Explanation:
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6 4215