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Q:

The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

A) 18 cm B) 12 cm
C) 16 cm D) 14 cm
 
Answer & Explanation Answer: D) 14 cm

Explanation:

circumference of a circle = 2πr

 

=> 2 × 22/7 × r – r = 37

 

=> 37/7 × r = 37

 

=> r = 7 cm.

 

Diameter D = 2r = 7×2 = 14 cm.

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Filed Under: Area
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Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2 B) 1;3
C) 1:4 D) 1:5
 
Answer & Explanation Answer: A) 1:2

Explanation:

 4×3.14×r2 : 4×3.14×r2 = 1 : 2  

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Filed Under: Volume and Surface Area
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Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32 B) 42
C) 62 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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Filed Under: Area
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Q:

19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?   

A) Rs. 1398.96 B) Rs. 1457.09
C) Rs. 1662.35 D) Rs. 1536.07
 
Answer & Explanation Answer: D) Rs. 1536.07

Explanation:

Let average expenditure was Rs. R

13 x 79 + 6x(R + 4) = 19R

=> R = Rs. 80.84

Total money = 19 x 80.84 = Rs. 1536.07.

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Filed Under: Average
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29 7563
Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145 B) 155
C) 165 D) 175
 
Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

 

Angle traced by hour hand in 5 hrs 10 min. i.e 316 hrs = 36012×3160 = 1550

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Filed Under: Clocks
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10 7557
Q:

In which of the following mammals estrous cycle is absent ?

A) Rabbit B) Horse
C) Cow D) Monkey
 
Answer & Explanation Answer: D) Monkey

Explanation:
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Filed Under: Biology
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Q:

Select a figure from the four alternatives that would complete the Figure Matrix.

     1366338089-121484716755.jpg image

   1366338089-131484716775.jpg image

     (1)   (2)   (3)   (4)

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: A) 4

Explanation:

Similar small figures are increasing by one in each of the bigger figure.

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Filed Under: Figure Matrix
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Q:

A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ?

A) 8 m/h B) 5 m/h
C) 7 m/h D) 6 m/h
 
Answer & Explanation Answer: B) 5 m/h

Explanation:

As the distance travelled is constant, the time taken is inversely proportional to speed.

Let 'u' be the speed of the current and 'v' be the speed of the boat.

Speed of the boat downstream = v + u & upstream = v - u

=> v+u/v-u = 30/20 => v/u = 5 => v = 5u

=> v + u = 6u = 10/20/60 miles/hr

=> 6u = 30 m/h

=> u = 5 m/h

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Filed Under: Boats and Streams
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