# Model Question Paper Company Corporation Board Assistant - 29

1. Find out the values of ‘x’ and ‘y’ if x+y=7; 3x-2y=11
[a] 4, 3
[b] 5, 2
[c] 3, 4
[d] 2, 5

2. Five years ago I was thrice as old as my son and ten years later I shall be twice as old as my son. How old are we now?
[a] 30 & 40
[b] 50 & 20
[c] 40 & 15
[d] 35 & 15

3. 3 chairs and 2 tables cost Rs.700 and 5 chairs and 3 tables cost Rs.1100. What is the cost of 2 chair and 2 tables?
[a] Rs.400
[b] Rs.500
[c] Rs.600
[d] Rs.900

4. Find two consecutive natural numbers whose squares have been the sum 221.
[a] 10, 11
[b] 9, 10
[c] 12, 13
[d] 13, 15

5. Find out the values of x & y. If 2x+3y = 31 : 17x-11y = 8
[a] 4, 7
[b] 5, 7
[c] 6, 8
[d] 5, 8

6. The sum of two numbers is 15. If the sum of their reciprocals is 3/10. Find out the numbers.
[a] 9, 6
[b] 7, 7
[c] 5, 10
[d] 4, 11

7. The length of a rectangular plot is 8 meters greater than its breadth. If the area of the plot is 308m. Find the length and breadth of the plot in meter.
[a] L-16, B-8
[b] L-18, B-10
[c] L-20, B-12
[d] L-22, B-14

8. A chess board contain 64 equal squares and the area of each square is 6.25cm^2. A border round the board is 2 cm wide. Find the length of the side of the chess board.
[a] 24cm
[b] 42cm
[c] 60cm
[d] 64cm

9. The area of a triangle is 48cm2, the base is 12cm what is its altitude?
[a] 4cm
[b] 6cm
[c] 8cm
[d] 12cm

10. The mean of a set of 40 values is 6. Each of the values is increased by 5. What will be the mean of the set of new values?
[a] 11
[b] 45
[c] 60
[d] 70

11. Find out the median of the values 5, 10, 3, 7, 2, 9, 6, 2, 11
[a] 2
[b] 6
[c] 11
[d] 9

12. What must be added to the numbers 6, 10, 14 and 22. So that they became successive proportional?
[a] 1
[b] 2
[c] 3
[d] 4

13. Which one of the following is having greater value?
[a] 5:3
[b] 6:4
[c] 7:6
[d] 9:7

14. Malathi purchases a cycle for Rs.660 including sales tax. If the rate of sales tax is 10%. Find out the sales price of the cycle excluding tax.
[a] 500
[b] 550
[c] 560
[d] 600

15. What will be the next number in the following series of numbers 2, 4, 16 _____
[a] 96
[b] 192
[c] 256
[d] none of these

16. What will be the next number 3, 11, 27, 59, _____
[a] 70
[b] 86
[c] 100
[d] 123

17. Tongue is related to Taste. In same way Ear ?
[a] Hear
[b] Deaf
[c] Dump
[d] Speak

18. If A means +, B mean -, C mean x and D mean ÷, then the value of 18C14A6B16D4 is
[a] 63
[b] 254
[c] 288
[d] 1208

19. Choose the missing term YEB, WFD, UHG, SKI _____
[a] QOL
[b] TOL
[c] QGL
[d] QNL

20. If southeast is called east, northwest is called west, southwest called south and so on what will north be called:
[a] East
[b] North East
[c] North West
[d] South