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Q:

Given that 100.48 = x,  100.70 = y and xz = y2,  then the value of z is close to ___ ?

A) 3.7 B) 2.7
C) 3.6 D) 2.9
 
Answer & Explanation Answer: D) 2.9

Explanation:

xz = y2        10(0.48z) = 10(2 x 0.70) = 101.40

 0.48z = 1.40

 z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
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10 7158
Q:

A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?

A) 55 kmph B) 58 kmph
C) 60 kmph D) 66 kmph
 
Answer & Explanation Answer: C) 60 kmph

Explanation:

Speed on return trip = 150% of 50 = 75 km/hr.

Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

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Filed Under: Time and Distance
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4 7153
Q:

A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?

A) 487 B) 585
C) 635 D) 705
 
Answer & Explanation Answer: B) 585

Explanation:

The smallest possible number of books = L.C.M of 5, 9 and 13.
Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.

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Filed Under: HCF and LCM
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5 7149
Q:

P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ?

A) 120 B) 240
C) 360 D) 180
 
Answer & Explanation Answer: A) 120

Explanation:

1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone)


so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1


so R share = (1/10) x 1200 = 120.

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Filed Under: Time and Work
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5 7141
Q:

The monomer of polythene is

A) ethylene B) ethyl alcohol
C) vinyl chloride D) ethanol
 
Answer & Explanation Answer: A) ethylene

Explanation:

The monomer of polythene is ethylene.

the_monomer_of_polythene_is1546857163.png image

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Filed Under: Chemistry
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17 7134
Q:

What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high  ?

A) 13 m B) 14 m
C) 15 m D) 16 m
 
Answer & Explanation Answer: A) 13 m

Explanation:

The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is

 

=>  d2 = 122 + 42 + 32 = 13mts.

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Filed Under: Area
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13 7133
Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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Filed Under: Problems on Trains
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7 7129
Q:

K and L starts walking towards each other at 4 pm at speed of 3 km/hr and 4 km/hr respectively. They were initially 17.5 km apart. At what time do they meet ?

A) 6:00 am B) 6:30 pm
C) 5:45 am D) 5:52 pm
 
Answer & Explanation Answer: B) 6:30 pm

Explanation:

Suppose they meet after 'h' hours

Then

3h + 4h = 17.5

7h = 17.5

h = 2.5 hours

So they meet at => 4 + 2.5 = 6:30 pm

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Filed Under: Time and Distance
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12 7125