CAT sectional test

A student gets an aggregate of 60% marks in five subject in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?

• 2

• 3

• 4

• 5

The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs.70,000 less. Find the original price of the diamond.

• Rs. 1 Lakh

• Rs. 1.5 Lakh

• Rs. 2 Lakh

• Rs. 2.5 Lakh

Three friends went for a picnic. First brought five apples and the second brought three. The third friend however brought only Rs.8. What is the share of the first friend?

• 8

• 7

• 1

• None

Total salary of A, B & C is Rs.350. If they spend 75%, 80% & 56% of their salaries respectively their savings are as 10 : 12 : 33. Find the salary of C?

• 180

• 150

• 120

• 100

The ratio of the age of a man and his wife is 4 : 3. After 4 years, this ratio will be 9 : 7. If at the time of the marriage, the ratio was 5:3, then how many years ago they were married?

• 12 years

• 8 years

• 10 years

• 14 years

Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank  olds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank  he cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the  cylindrical tank have when it was full?

• 700

• 1000

• 1100

• 1200

The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it. The speed of the train is 100 km/hr when there are 4 bogies and 55 kmph when there are 5 bogies. What is the maximum number of bogies that can be attached to the train so that it can move?

• 6

• 5

• 4

• None of these

Arvind Singh purchased a 40 seater bus. He started his services on route number 2 (from Mahu Naka to Dewas Naka with route length of 50 km). His profit (P) from the bus depends upon the number of passengers over a certain minimum number of passengers ‘n’ and upon the distance travelled by bus. His profit is Rs.3600 with 29 passengers in the bus for a journey of 36 km and Rs.6300 with 36 passengers in the bus for a journey of 42 km. What is the minimum number of passengers are required so that he will not suffer any loss.

• 12

• 20

• 18

• 15

Arvind Singh purchased a 40 seater bus. He started his services on route number 2 (from Mahu Naka to Dewas Naka with route length of 50 km). His profit (P) from the bus depends upon the number of passengers over a certain minimum number of passengers ‘n’ and upon the distance travelled by bus. His profit is Rs.3600 with 29 passengers in the bus for a journey of 36 km and Rs.6300 with 36 passengers in the bus for a journey of 42 km. What is the minimum number of passengers are required so that he will not suffer any loss.

• 12

• 20

• 18

• 15

I sell 16 sheep at a gain of 12.5% and 20 more at a certain gain percent. If 1 gain 25% on the whole, how much percent gain did I make on the latter number?

• 20%

• 25%

• 30%

• 35%