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Q:

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ?

A) 2(6!) B) 6! x 7
C) 6! x ⁷P₆ D) None
 
Answer & Explanation Answer: C) 6! x ⁷P₆

Explanation:

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

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Filed Under: Permutations and Combinations
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6 6660
Q:

Find the number which multiplied by 15 is increased by 56  ?

A) 6 B) 4
C) 3 D) 12
 
Answer & Explanation Answer: B) 4

Explanation:

Let the number be x. Then,

15x - x = 56

x = 4

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Filed Under: Problems on Numbers
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2 1964
Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40 B) Rs. 1024.21
C) Rs. 2810.6 D) Rs. 3214
 
Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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Filed Under: Area
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11 9082
Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ?

A) 1:2 B) 1:3
C) 3:1 D) 2:1
 
Answer & Explanation Answer: D) 2:1

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
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8 12157
Q:

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ?

A) 1 kmph B) 3.2 kmph
C) 1.5 kmph D) 2 kmph
 
Answer & Explanation Answer: C) 1.5 kmph

Explanation:

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9 
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

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Filed Under: Boats and Streams
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16 10879
Q:

Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?

A) 2 hrs B) 20 min
C) 40 min D) 30 min
 
Answer & Explanation Answer: B) 20 min

Explanation:

In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.

Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.

stoppage time = 20/60 hrs = 20 min.

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Filed Under: Time and Distance
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10 12021
Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

A) 42 B) 54
C) 46 D) 58
 
Answer & Explanation Answer: A) 42

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

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Filed Under: Problems on Numbers
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7 10031
Q:

Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage  Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is  ?

A) 30 B) 32
C) 38 D) None
 
Answer & Explanation Answer: C) 38

Explanation:

Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age  = 48

His sister is 10 years younger => 48 - 10 = 38 years.

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Filed Under: Problems on Ages
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23 15721