RRB NTPC (Tier-1) SOLVED Paper "CEN-03-2015" (held on 31/03/2016 Shift -2) - Mathematics

Q1. There categories of employees get wages in the ratio of 1:2:3. If they get increments of 5%, 10% and 15% respectively, what will be the new ratio of their wages?

a. 21:44:69
b. 7:22:23
c. 7:44:23
d. 21:22:23

Q2. The area of a circle is 616 sq.m. find its diameter.(π=22/7)

a. 7m
b. 14m
c. 28m
d. 56m

Q3. Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

a. 9,9,9
b. 9,8,9
c. 8,9,8
d. 8,9,9

Q4. How many millimeters make ten kilometers?

a. 1010
b. 109
c. 108
d. 107

Q5. The central government granted a certain sum towards flood relief to 3 states A,B, and C in the ratio 2:3:4:. If C gets Rs. 400 crores more than A, what is the share of B?

a. Rs. 400 crore
b. Rs. 200 crore
c. Rs. 600 crore
d. Rs. 300 crore

Q6. Find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26m, 1.98m and 1.62m respectively.

a. 12 cm
b. 14 cm
c. 16 cm
d. 18 cm

Q7. What will be the maturity value, if Rs. 13,500 is deposited at a simple rate of interest of 12.5% for two years?

a. Rs. 15,187.50
b. Rs. 16,875.00
c. Rs. 16,875.50
d. Rs. 16,785.00

Q8. A shop keeper purchased 15 kg of sugar and 20 kg of wheat at Rs. 75 per kg respectively. On selling them, he gained 10% on sugar and 20% on wheat. What was the total sale value?

a. Rs. 2,550
b. Rs. 2,625
c. Rs. 1,800
d. Rs. 1,575

Q9. X can finish 25% of a work in a day. Y can do 12.5% of a work in a day. In how many days, will both of them finish the work together?

a. 2.67 days
b. 2.33 days
c. 3.33days
d. 3.67 days

Q10. If x + 2y = 27 and x -2y = -1, find the value of y.

a. 13
b. 14
c. 7
d. 26

Q11. Find the smallest of the following decimals.

a. 0.2 × 0.2× 0.2
b. 0.02/3
c. 0.01/2
d. 0.1× 0.02×2

Q12. Find the range of the data 2, 1, 2, 3, 5, 4, 7, 3, 5, 2, 4.

a. 5
b. 4
c. 3
d. 6

Q13. You purchased two pieces of cloth measuring 1, 2 m and 1,3 m each at Rs. 330 and Rs. 270 per meter respectively and gave Rs. 1000 at the payment counter. How much cash will you get back?

a. Rs. 253
b. Rs. 604
c. Rs. 649
d. Rs. 235

Q14. What is the difference between the maturity values, if Rs. 12,500 is invested for 2 years at 20% per annum simple interest and compound interest?

a. Rs.750
b. Rs. 650
c. Rs. 550
d. Rs. 500

Q15. The speed of car B is half the speed of car A. If car A covers a distance of 120 km in 11⁄2 hours, what is the speed of car B?

a. 40 kmph
b. 60 kmph
c. 30 kmph
d. 50 kmph

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Q16. What number, from the following, should be deducted from 1184 to make it exactly divisible by 21?

a. 15
b. 12
c. 8
d. 7

Q17. A Rectangular playground ground of length 125m and width 75m, has a walking strip of width 3m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip?

a. 9375 sq.m
b. 9000 sq.m
c. 9750 sq.m
d. 8625 sq.m

Q18. Find the missing number (?) in the seties
1, 1, 4, 8, 9, ?, 16, 64………………

a. 21
b. 23
c. 25
d. 27

Q19. Find the HCF of 48, 92 and 140.

a. 8
b. 6
c. 4
d. 3

Q20. If mathematical operatiors ‘-‘ and ‘÷‘ are interchanged, then the value of
15+4+15-11×33÷98 is

a. 6
b. 7
c. 8
d. 9

Q21. The standard deviation of the set {10, 11, 12, 9, 8} is

a. 1
b. √2
c. 2
d. 2√2

Q22. A man traveled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time. Find the accrual distance travelled?

a. 40 km
b. 20 km
c. 30 km
d. 48 km

Q23. In which quadrant, will the point (4, -2) be located?

a. I
b. II
c. III
d. IV

Q24. Find the value of x³ (x³ – x² – x), when x = 4.

a. 2816
b. 3328
c. 2516
d. 3332

Q25. 97 × 97 = ?

a. 9391
b. 9409
c. 9049
d. 9309

Q26. The value of cos (1110⁰) is

a. √3/2
b. 1/2
c. 1/√2
d. 1

Q27. If sinθ = 2/3, find the value of secθ and cotθ.

a. √5/2, 2/√5
b. 2/√5, 3/5
c. 3/√5/5, √5/2
d. 3/5, 3√5/5

Q28. Simplify: (x⁵ ÷x⁴)³ ÷ x

a. X³
b. X²
c. X
d. x^-1

Q29. An article was sold for Rs. 2,400 at a discount of 20%. Find the selling price, if the discount was 25%.

a. Rs. 2,250
b. Rs. 2,000
c. Rs. 1,800
d. Rs. 2,150

Q30. A tank can be filled in 30 minutes. There is a leakage which can empty the tank in 90 minutes. Therefore, the tank will be filled in

a. 60 minutes
b. 45 minutes
c. 55 minutes
d. 50 minutes

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Answer:-
1. (a) 2. (c) 3. (c) 4. (d) 5. (c) 6. (d) 7. (b) 8. (b) 9. (a) 10. (c)
11. (d) 12. (d) 13. (a) 14. (d) 15. (a) 16. (c) 17. (d) 18. (b) 19. (c) 20. (d)
21. (b) 22. (b) 23. (b) 24. (a) 25. (d) 26. (b) 27. (c) 28. (b) 29. (a) 30. (b)