If a person travels x% faster than normal, he reaches y minutes e

Subject

Life Sciences

Class

CNET Class 12

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Sample Papers

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 Multiple Choice QuestionsMultiple Choice Questions

11.

A normal TV screen has a width to height ratio of 4 : 3, while a high definition TV screen has a ratio of 16:9. What is the approximate ratio of their diagonals, if the heights of the two types of screens are the same?

  • 5: 9

  • 5: 18

  • 5: 15

  • 5: 6


12.

Comparing numerical values, which of the following is different from the rest?

  • The ratio of the circumference of a circle to its diameter.

  • The sum of the three angles of a plant triangle expressed in radians.

  • 22/7

  • The net volume of a hemisphere of unit radius, and a cone of unit radius and unit height.


13.

A river is 4.1 km wide. A bridge built across it has 1/7 of its length on one bank and 1/8 of its length on the other bank. What is the total length of the bridge?

  • 5.1 km

  • 4.9 km

  • 5.6 km

  • 5.4 km


14.

OA, OB, and OC are radii of the quarter circle shown in the figure. AB is also equal to the radius.

What is angle OCB?

  • 60°

  • 75°

  • 55°

  • 65°


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15.

Two iron spheres of radii 12 cm and 1 cm are melted and fused. Two new spheres are made without any loss of iron. Their possible radii could be

  • 9 and 4 cm

  • 9 and 10 cm

  • 8 and 5 cm

  • 2 and 11 cm


16.

A man buys alcohol at Rs. 75/cL, adds water and sells it at Rs. 75/cL making a profit of 50%. What is the ratio of alcohol to water?

  • 2:!

  • 1:2

  • 3:2

  • 2:3


17.

The sum of the digits of a two-digit number is 9. If the fraction formed by taking 9 less than the number as numerator and 9 more than the number as the denominator is 3/4, what is the number?

  • 36

  • 63

  • 45

  • 54


18.

The distance between X and Y is 1000 km. A person flies from X at 8 AM local time and reaches Y at 10 AM local time. He flies back after a halt of 4 hours at Y and reaches X at 4 PM local time on the same day. What is his average speed for the duration he is in the air?

  • 500 km/ hour

  • 250 km/ hour

  • 750 km/ hour

  • Cannot be calculated with the given information.


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19.

If a person travels x% faster than normal, he reaches y minutes earlier than normal. What is his normal time of travel?

  • y100 + 1 x minutes

  • 100y + 1 x minutes


A.

100x + 1 y minutes

Normally considering, distance = speed ^ time

Modified case, (speed + x × speed100 = distance(time - y)

or, speed (1 + x100) = distance(time - y)

Substituting for distance, speed 1 + x100 = speed * time(time - y)

on cancelling speed on RHS and LHS,

1 + x/100 = time/ time - y

time = time - y + (time - y)/ 100

100 time = 100 time - 100 y + time - xy

x time = 100y + xy

time = (100/ x + 1) y minutes.


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20.

A and B walk up an escalator one step at a time, while the escalator itself moves up at a constant speed. A walks twice as fast as B. A reaches the top in 40 steps and B in 30 steps. How many steps of the escalator can be seen when it is not moving?

  • 30

  • 40

  • 50

  • 60


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