SSC Apt Exam 04005

1. The average age of boys of a school is 12 years and of girls is 11 years. If the total no. of boys is 480. Then find the no. of girls if the average age of school 11 years 9 months.

2. A batsman scores 87 runs in his 17th innings due to this his average increased by 3 runs. Find his current average.

3. If the bowling average of a bowler is 12.4 run per wicket. He takes 10 wickets in his next innings by giving 52 runs, due to this his bowling average is improved by 0.4 run per wicket. Find the total no. of wickets taken by him at present.

4 . A music system when sold for Rs. 4500 gives a loss of 16.66% to the merchant who sells it. Calculate his loss or gain per cent, if he sells it for Rs. 5703.75.

5 . The marked price of a table is Rs.1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit per cent.

6. The total income of A, B and C is 6060. A spend 80%, B spend 85% and C spend 75% and the ratio of their saving is 5 : 6 : 9. Find the income of A.

7. A 2 kg metal of which 1/3 is zinc and rest is copper mixed with 3 kg of metal of which 1/4 is zinc and rest is copper. What is the ratio of zinc to copper in new mixture ?

8. The length, breadth and height of a room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.

9. The price of sugar is reduced by 25% but in spite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar ?

10. A man with 3/5 of his usual speed reaches the destination 2 1/2 hours late. Find his usual time to reach the destination:

11. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed ?

12 . Bhuvnesh lent out a certain amount at 6% per annum for 2 years and another at 7% per annum for the same time and after the completion of the period. He got ` 2478 as interest. If one-fourth of the first amount is equal to onefifth of the second amount. Find the total amount he lent out–

13. A certain amount was taken as loan at 6% per annum loan. In the first year Rs.6800 was paid back and the rest money was charged with 5% p.a. . If the interest for second year is 11 20 of the interest of Ist year, then find the amount taken on loan.

14. Anjali deposited some amount in UTI bank at 10% per annum and she hopes that the bank will give her some interest. Bank lends this amount to a company at 12% per annum but interest compounded half yearly. After one year bank pays interest to Anjali and makes a profit of ` 1888. Find the amount that Anjali deposited in the bank-

15. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed ?

16. Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the later. Find the distance :

17. In the given figure, a is greater than one-sixth of right angle, then :

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21. The perimeter of the top of a rectangular table is 28m., whereas its area is 48m2 . What is the length of its diagonal?

22. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle.

23. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

24. Find the Remainder when 77 × 85 × 73 is divided by 9

25. The divisor is 321, the quotient 11 and the remainder 260. Find the dividend.