CBSE PSA 11th Class Quantitative Reasoning Sample Paper 2014

CBSE PSA 11th Class Quantitative Reasoning Sample Paper 2014 - You will find here CBSE Problem Solving Assessment (CBSE PSA) Class 11th Quantitative Reasoning Sample Model Question Papers for your examination 2014 online. These questions will help you for better examination preparation.

Section - C (Quantitative Reasoning)

Ravi is making a mixture of sand, cement and water. He adds 6 kg of cement and 4 litres of water to every 10 kg of sand.
Which of these statements is not correct?
1) The water is 20 % of the mixture.
2) The ratio of sand to cement to water is 5:2:3.
3) To make 30 kg of mixture, Ravi needs 9 kg of cement.
4) If he uses 4.5 kg of cement, then he needs 3 L of water.

Aarush sat down to study at 8 am. The angle of elevation of the sun was 15^o.When he had finished studying the angle of elevation of the sun was 55^o.
How long did Aarush study?
1) 40 min
2) 1 hour 20 mins
3) 2 hours 23 mins
4) 2 hours 40 mins

A pump brings underground water up to ground level. The water flow is measured in litres per minute. This pump fills an 18 litre bucket in 7 seconds.
The pump flow is closest to
1) 23 L/min
2) 126 L/min
3) 144 L/min
4) 150 L/min

40 grams of salt is dissolved in 20 litres of water. 10 litres of this solution is then removed and an additional 10 litres of water is added.
The final concentration of salt in the solution is
1) 0.5 g/L
2) 1 g/L
3) 1.33 g/L
4) 2 g/L

One morning Bina downloaded songs from the internet. This increased her collection by 50%.However, in the afternoon a virus destroyed 50% of her total collection. If Bina’s collection then numbered 300 songs, how manydid she have at the start of the day?
1) 200
2) 300
3) 400
4) 600

On Tuesday, Rasheed rode to school from his home at an average speed of 12 km/h and arrived 5 minutes late. On Wednesday, Rasheed rode to school from his home at an average speed of 18 km/h and arrived 10 minutes early.
How far does Rasheed live from school?
1) 4.2 km
2) 8.5 km
3) 9 km
4) 15 km

Read the following passage and answer the questions as follow:

In a Spin
You have only to watch the daily movement of the sun and the nightly turn of the stars across our sky to realise that the Earth is turning. While you may be standing completely still on the surface of the Earth, that surface is itself turning at a rate of about 1700 km/h. At this rate, our planet takes 23 hours and 56 minutes to make one full rotation on its axis relative to any distant fixed star – a period of time that astronomers call a sidereal day. This is a tiny bit shorter than our ordinary solar day which is 24 hours long – the time between high noon on two consecutive days. The sidereal and solar days are different lengths because by the time the Earth has made one full rotation on its axis and the distant star is directly overhead again, the Earth has also moved 0.986 degrees further around its nearly circular orbit around the sun. As a result, at the end of a sidereal day, the Earth must continue to rotate that extra 0.986 degrees until the sun is overhead to complete a solar day. This extra rotation takes 4 minutes.

There are a number of factors that affect the rate at which a planet turns on its axis. Mercury, the closest planet to the sun, rotates much more slowly than Earth because of the dragging effect of the sun’s enormous gravity. A solar day on Mercury is the same length as 58 Earth days! Our own Earth’s spin is being slowed down by the tidal effect of the Moon and scientists have found that the Earth solar day is getting longer at a rate of 1 second every thousand years.

Which of the following statements is true?
1) The sun is speeding up the Earth’s rate of spin.
2) Our clocks use the solar day as it is more convenient.
3) The sidereal day is longer than the solar day on Earth.
4) All planets in our solar system have the same length of sidereal day.

What would happen if the Earth’s spin were to slow down?
1) Night-time would be longer than daytime.
2) The solar day would be shorter than the sidereal day.
3) The sidereal day and solar day would both be longer.
4) There would be more hours of daylight than hours of darkness.

Venus spins in the opposite direction to that in which it orbits the sun, therefore
1) its sidereal day is longer than its solar day.
2) its solar day is longer than its sidereal day.
3) the length of its sidereal day is constantly changing.
4) the length of its sidereal day and its solar day are the same.

Mercury rotates at a speed of 11 km/h. Therefore the circumference of Mercury is approximately
1) 1 550 km.
2) 9 200 km.
3) 12 100 km.
4) 15 600 km.