SSC Apt Exam 04028

1. If a, b, c, d, e are five consecutive odd numbers, their average is (a) 5(a+4) (b) abcde 5 (c) 5(a+b+c+d+e) (d) a+4 131.

2. The average of five cosecutive positive intergers is n. If the next two integers are also included, the average of all these integers will

3 . A company instead of raising the mark-up by 20% discounted the cost price by 20% while stiching the price tag on its product. Further the company offers a discount of 6.25% to its customer. In this process company incurs a loss of Rs. 37.5 on a single article. What is the selling price of that article ?

4 . Due to an increase of 30% in the price of eggs, 3 eggs less are available for Rs. 9.10. The present rate per egg is :

5. In an election there were only three candidates. 10% of the total votes could not be cast and 10,000 votes were found invalid. The winning candidate got 52% of the valid votes and the candidate at third position got 12% votes. If the candidate at second position got 28800 votes, then find the total number of votes.

6. In an election there are three candidates. The winning candidate got 55% votes and the candidate at the third place got 5% of the votes. If the winning candidate win by 9000 votes then find total number of votes while no vote was invalid.

7 .The capacity of three vessels is in the ratio of 6 : 4 : 3 and they contain mixtures of milk and water. The ratios of milk and water in the vessels are 3 : 1, 4 : 3 and 5 : 2 respectively. If the mixtures of all three vessels are mixed together, find the ratio of milk and water in the new mixture formed so.

8 .An article of jewellery of 35 gram made up of gold and silver and cost of the article is ` 13440. If the weight of gold and silver is interchanged then the cost of the article becomes ` 9660. If the cost of gold per gram be ` 540, find per gram cost of silver. Also find the weight of each gold and silver in the jewellery.

9 . A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be complete in:

10 . A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A assisted by B and C on alternate days?

11 . A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer’s 4. If the tiger and the deer cover 8m and 5m per leap respectively, what distance will the tiger have to run before it catches the deer ?

12 . Two men start walking from A and B, 72 km distance toward each other at same time. The speed of first person is 4 km/ h. While the other one starts at 2 km/h and increases his speed every hour by 1/2 km/h when will they meet ?

13 . ` 500 is invested at 12% per annum rate of simple interest and an another amount at 10% per annum rate of simple interest. If after 4 years the interest received on both the amounts is ` 480. Find the other amount.

14 . A sum of ` 25220 is divided into three parts and lent out for 2 years, 3 years and 4 years respectively. If the rate of compound interest be 5% and the amount of each part become same after the completion of time in each case, find the divided parts of the sum.

15 . ABCD is a trapezium whose side AD is parallel to BC, Diagonals AC and BD intersect at O. If AO = 3, CO = x –3, BO = 3x –19 and DO = x – 5, then the value(s) of x will be :

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17 . The areas of two similar triangles are in the ratio 9 : 16. Their corresponding sides will be in the ratio :

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20 . The area (in sq. cm) of the largest circle that can be drawn inside a square of side 28 cm is :

21 . A cuboidal shaped water tank, 2.1 m long and 1.5 m broad is half filled with water. If 630 litres more water is poured into tank, the water level will rise

22 . Find the unit digit of 584 × 389 × 476 × 786

23. Find the unit digit of (5627)153 × (671)230

24. Find the unit digit of (3625)333 × (4268)645

25 . Find the unit digit of 641 × 673 × 677 × 679 × 681