MATHS HARD LEVEL SET 1 FOR MAINS

1.Three partners invested capital in the ratio 2 : 7 : 9. The time period for which each of them invested was in the ratio of the reciprocals of the amount invested. Find the share of the partner who brought in the highest capital, if profit is Rs. 1080.

 1)

Rs. 120

 2)

Rs. 360

 3)

Rs. 540

 4)

Rs. 420

 5)

None of these

2.Two boys are playing in the ground. Both the boys are less than 10 years old. Age of the younger boy equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what is the age of the younger boy?

1)

3

 2)

4

 3)

2

 4)

5

 5)

None of these

3.A student purchased a computer system and a colour printer. If he sold the computer system at 10% loss and the colour printer at 20% gain, he would not lose anything, but if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose Rs. 800 in the bargain. How much did he pay for the colour printer?

1)

Rs. 9,000

 2)

Rs. 16, 000

 3)

Rs. 8,000

 4)

Rs. 5, 334

 5)

None of these

4. A group consisting of 25 teachers, 20 engineers, 18 doctors and 12 salesmen visited a fair and spent Rs. 1330 altogether. It was found that 5 teachers spent as much as 4 engineers; 12 engineers spent as much as 9 doctors and 6 doctors spent as much as 8 salesmen. If every person in a professional group spent the same amount. The amount spent by each engineer is

1)

Rs. 18

 2)

Rs. 17.50

 3)

Rs. 14

 4)

Rs. 21

 5)

None of these

5.A train consists of 12 bogies, each bogie is 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, two bogies were detached. The train now crosses a telegraph post in

 1)

15 sec

 2)

12 sec

 3)

18 sec

 4)

20 sec
 5)None of these

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