RRB NTPC (Tier-1) SOLVED Paper "CEN-03-2015" (held on 03/04/2016 Shift -1) - Mathematics

Q1. If N: 38: :3 :57 , Find N.

a. 2/3
b. 1/3
c. 3
d. 2

Q2. The distance between two points A and B is covered in 5 ½ hours at a speed of 50 km/hr. If the speed is increased by 5 km/hr. how much time would be saved?

a. 5 minutes
b. 15 minutes
c. 50 minutes
d. 0 minutes

Q3. If x= 7- 4√3 find the value of √x + 1/√x

a. 0
b. 1
c. 4
d. -4

Q4. If Y= 2x – 1 /x+3, find x when y = 1

a. 4
b. -4
c. 3/2
d. 4/3

Q5. Six years ago, the ratio of the ages of the two persons P and Q was 3:2. Four years hence the ratio of their ages will be 8:7. What is P’s age?

a. 10 years
b. 12 years
c. 14 years
d. 8 years

Q6. A wire is t he shape of rectangle . Its length is 42.7cm and breadth is 21.8 cm. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?

a. 16.125
b. 32.25
c. 11.35
d. 22.70

Q7. What is the smallest number of 5 digits which is exactly divisible by 12, 24, 48, 60 and 96?

a. 10000
b. 10024
c. 10160
d. 10080

Q8. Find the cost in rupees for carpeting a room 65dm x 30dm at Rs.45 per sq.m

a. 877.50
b. 87750
c. 87.75
d. 8775

Q9. The ratio of ages of Jai and Joy is 5:2. The sum of their ages is 63. After 9 years what will be the ratio of their ages?

a. 5:2
b. 2.1
c. 3:2
d. 4.3

Q10. By selling 90 chocolates for Ra.160, a chocolate trader loses 20%. How many chocolates should he sell for Rs.96 to make a profit ot'20%?

a. 45
b. 36
c. 54
d. 28

Q11. What is the mean of the marks scored by students in a science exam?
41, 39, 52, 48, 54, 62, 46, 52, 40, 96, 42, 40, 98, 60, 52

a. 54.8
b. 58.4
c. 53.4
d. 53.8

Q12. Simplify: (-4.6) X (-4.6) ÷(-4.6+0.6)

a. -5.29
b. -0.529
c. -4.06
d. 5.01

Q13. The price of 4 ½ m of cloth is Rs. 601/2. Find the cost per metre.

a. 15 1/2
b. 13 1/2
c. 14 3/4
d. 13 ¾

Q14. The product of two consecutive odd number is 399. Find the lower of them.

a. 17
b. 19
c. 21
d. 23

Q15. If cosθ + sinθ = m, secθ + cosecθ = n, what is m/n?

a. 1
b. Sinθ cosθ
c. Secθ cosecθ.
d. Cotθ + tanθ

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Q16. X, Y and Z take 18 days to complete a piece of work. If X works alone he finishes the work in 36 days and if Y works alone he finishes it in 60 days. How long will it take Z to complete the work alone?

a. 78 days
b. 90 days
c. 96 days
d. 414 days

Q17. Solve: sinθ/1+cosθ + 1+ cosθ/sinθ =?

a. Tanθ
b. Cotθ
c. 2/sinθ
d. 2/cosθ

Q18. The sum of the digits of a 2 digit number is 9. When 27 is added to the number, the digits get interchanged. Find the number.

a. 45
b. 36
c. 18
d. 27

Q19. Find the missing (?) in the series
13, 14, 18, 27, ?, 68, 104……

a. 36
c. 41
d. 43
d. 54

Q20. One angle of a triangle is 55'. If the other two angles are in the ratio 9:16, find the angles?

a. 65 and 115
b. 90 and 160
c. 55 and 165
d. 45 and 80

Q21. Simplify : 9/13 ÷ 18/26÷ 90/26

a. 45/26
b. 13/45
c. 26/45
d. 45/13

Q22. 6 carpenters make 96 windows in 16 days. If 8 carpenters work for 4 days how many windows will they make?

a. 16
b. 28
c. 36
d. 12

Q23. A factory produced 18,58,509 cassettes in the month of January , 7623 more cassettes in the month of February and owing to short supply of electricity produced 25,838 less cassettes in march than in February . Find the total production in all?

a. 55,57,312
b. 59,83,245
c. 53,64,935
d. 56,08,988

Q24. Sanjay and Janeob start running in opposite directions from the same point at speeds of 7m/s and 5 m/s. After 42 minutes how far would they be from each other ?

a. 30.24 Km
b. 504 Km
c. 8.4 Km
d. 69.5 Km

Q25. Find the difference between compound interest and simple interest on 5000 for 2 years at 8% p.a payable annually.

a. 45
b. 32
c. 57
d. 84

Q26. Solve: 12[26-{2+5x(6-3)}]

a. 2
b. 3
c. 7
d. 8

Q27. Abdul prepared 42 litres of medicine and filled in bottles of 280 ml each. Find how many bottles would be required?

a. 15
b. 1500
c. 150
d. 300

Q28. The LCMof two consecutive even number is 144, find the numbers is 144, find the number ?

a. 16 and 18
b. 14 and 16
c. 18 and 20
d. 22 and 24

Q29. 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

Q30. How many millimeters make ten kilometers?

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

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