Volume-43, 20-26 January, 2017

**Model Question Paper**

**Q1. What is the number of integral solutions of the equations HCF (a, b) = 5 and a + b = 65 ? **(a) None

(b) Infinitely many

(c) Less than 65

(d) Exactly one

(b) is never divisible by 2

(c) is always even

(d) None of the above

(b) always sum of two square numbers

(c) a square

(d) None of the above

(a) It is always 1

(b) It is always 2

(c) Either 1 or 2

(d) None of the above

(a) x + 2

(b) 2x + 1

(c) x - 2

(d) 2x - 1

(a) 100

(b) 10

(c) 20

(d) 200

(a) (x + 1) only

(b) (x + 2) only

(c) (x + 3) only

(d) All of the above

(a) 84 years

(b) 70 years

(c) 40 years

(d) 35 years

(a) 80% and 20%

(b) 20% and 80%

(c) 50% and 50%

(d) 52% and 48%

(a) 7 days

(b) 8 days

(c) 10 days

(c) 12 days

(a) 150 m

(b) 120 m

(c) 90 m

(d) 80 m

(a) 32 years and 23 years

(b) 32 years and 29 years

(c) 35 years and 29 years

(d) 35 years and 33 years

(a) x2 + 10x + 9 = 0

(b) x2 - 10x + 16 = 0

(c) x2 + 10x + 9 = 0

(d) None of the above

(a) acx2 + (ab + bc) x + b2 + (a - c)2 =0

(b) acx2 + (ab - bc) x + b2 + (a - c)2 =0

(c) acx2 + (ab - bc) x + b2 - (a - c)2 = 0

(d) acx2 + (ab + bc) x + b2 - (a - c)2 =0

(a) 7

(b) 8

(c) 11

(d) 22

(a) 9a2

(b) 4a2

(c) a4

(d) None of the above

(a) A and C are both zero

(b) A and B are both positive

(c) A and C are both negative

(d) A and C are of opposite sign

(a) 140%

(b) 400/3%

(c) 40%

(d) None of the above

(a) 26

(b) 24

(c) 22

(d) 20

(a) 12

(b) 24

(c) 48

(d) 60

(a) 1

(b) 2

(c) 4

(d) None of the above

(a) Rs. 720

(b) Rs. 735

(c) Rs. 745

(d) Rs. 775

(a) 60

(b) 55

(c) 50

(d) 45

1. No integer of the form 4k + 3, where k is an integer, can be expressed as the sum of two squares.

2. Square of an odd integer can be expressed in the form 8k +1, where k is an integer.

Which of the above statements is/are correct?

(a) 1 only

(b) 2 only

(c) Both 1 and 2

(d Neither 1 nor 2

(a) n

(b)1

(c)11

(d) None of the above

(a) 9: 04 am

(b) 9:08 am

(c)9:14 am

(d)None of the above

(a) 1:7

(b)2:7

(c) 1:5

(d) 5:1

(a) 26

(b) 30

(c) 35

(d) 45

(a) 15 cm

(b) 20 cm

(c) 25 cm

(d) 200/9 cm

(a) 6 cm2

(b) 8 cm2

(c) 10 cm2

(d) 12 cm2

(a) 8

(b) 6

(c) 4

(d) 2

(a) 14 cm

(b) 10.5 cm

(c) 7 cm

(d) 3.5 cm

(a) -1

(b) 0

(c) 1/2

(d) 1

Q34. The value of cos 25° - sin 25° is

(a) positive but less than 1

(b) positive but greater than 1

(c) negative

(d) 0

(a) 3/5

(b 4/5

(c) 3/4

(d) 2/5

(a) a2

(b) 2a2

(c) 3a2

(d) 4a2

(a) 4 : 1

(b) 8 : 1

(c) 2 : 1

(d) 6 : 1

(a) (2n + 1, 4n, 2n2 + 2n)

(b) (2n, 4n, _n2+1)

(c) (2n2, 2n, 2n + 1)

(d) (2n, n2-1, n2 + 1)

where n is a positive real number.

Which one of the following is correct ?

(a) Both cube and cuboid can be painted

(b) Only cube can be painted

(c) Only cuboid can be painted

(d) Neither cube nor cuboid can be painted

(a) 48 cm2

(b) 32 cm2

(c) 0

(d) None of the above

(a) 8 cm and 10 cm

(b) 9 cm and 11 cm

(c) 10 cm and 12 cm

(d) 11 cm and 13 cm

(a) 370 cm3 and 380 cm3

(b) 380 cm3 and 390 cm3

(c) 390 cm3 and 400 cm3

(d) None of the above

2. A

3. A

4. C

5. B

6. B

7. C

8. C

9. A

10. B

11. B

12. C

13. B

14. B

15. D

16. A

17. B

18. D

19. C

20. A

21. C

22. B

23. A

24. D

25. C

26. C

27. B

28. A

29. A

30. C

31. B

32. C

33. D

34. D

35. A

36. B

37. A

38. D

39. C

40. C

Employment News is the flagship weekly job journal from Ministry of Information and Broadcasting, Government of India. It was launched in 1976 with a view to provide information on employment opportunities to the unemployed and under employed youth of the country.