In a group of students, 30% play only cricket, 20% play only football and 10% play only basketball. 20% of the students play both basketball and cricket, 10% play both football and basketball. 15 students play no games, while 5% of the students play all three games. What is the total number of students?

• 300

• 250

• 350

• 400

Five persons A, B, C, D, and E are sitting in a row with C in the middle of the group. If D is at an extreme end and there at least two persons between B and E, then which of the following statements is incorrect?

• E can be on the extreme left

• E can be on extreme right

• A cannot be on extreme left

• A is always a neighbour of B or D.

A sphere G of radius b is fixed mid-air and several spheres identical to the first one are shot at it with their velocities parallel to each other. If the shot spheres fall within an imaginary cylinder of radius a (b << a) then the fraction of spheres that will hit G is

• 2b/ a

• 4b²/a²

• (a - b)/ (a + b)

• 8b³/a³

The distance from Nehrunagar to Gandhinagar is 27 km. A and B start walking from Nehrunagar towards Gandhinagar at speeds of 5 km/hr and 7 km/hr, respectively. B reaches Gandhinagar, returns immediately, and meets A at Indiranagar. What is the distance between Nehrunagar and Indiranagar? (Assume all three cities to be in one straight line)

• 12.5 km

• 22.5 km

• 4.5 km

• 15.5 km

A leaf appears green in daylight. If this leaf were observed in red light, what colour would it appear to have?

• green

• black-brown

• red

• blue

Approximately how much blood flows per day through a normal human heart beating 70 times per minute, having a relaxed volume of 110 cc and compressed volume of 70 cc?

• 7150 litres

• 4000 litres

• 28000 litres

• 11100 litres

The molar function of hydrochloric acid in an extremely dilute aqueous solution is doubled. The pH of the resulting solution is

• approximately doubled

• approximately halved

• increased

• reduced

The bar chart above shows the number of seats won by four political parties A, B, C, and D. Which party won the largest proportion of seats it contested?

• A

• B

• C

• D

Find the missing number.

• 4

• 9

• 3

• 6

When Ramesh was at the age of 8 years, he hammered a nail into a large tree to mark his height. If the tree grows 2cm/ year, how much higher would the nail be after 5 years?

• 5 cm higher

• 0 cm higher

• 10 cm higher

• 8 cm higher