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RRB NTPC (Tier-1) SOLVED Paper "CEN-03-2015" (held on 30/03/2016 Shift -1) - Mathematics

RRB NTPC (Tier-1) SOLVED Paper "CEN-03-2015" (held on 30/03/2016 Shift -1) - Mathematics

Q1. S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

a. 3/5
b. 1/3
c. 1/2
d. 2/5

Q2. Find the factors of (x 2+ x - 42)

a. (x+14) (x-3)
b. (x+6) (x-7)
c. (x-6) (x+7)
d. (x-14) (x+3)

Q3. The mean of the data 1, 2, 10, 18, 3, 17, 19 is

a. 7
b. 10
c. 17
d. 70

Q4. The mode and median of data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

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

Q5. What is the length of diagonal, if area of a rectangle is 168cm2 and breadth is 7cm?

a. 24cm
b. 15cm
c. 17cm
d. 25cm

Q6. What is the ratio of simple interest earned on certain amount at the rate of 12% for 6 years and that for 12 years?

a. 1:2
b. 2:3
c. 3:4
d. 4:5

Q7. A shop keeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit 12% What is the total sale price?

a. Rs. 1,100
b. Rs. 1,120
c. Rs. 1,200
d. Rs. 1,210

Q8. If the sum of digits is 9 and the difference between the digit in the ten's place and unit's place is 1, then the two-digit number is?

a. 45
b. 63
c. 54
d. 72

Q9. Which of the following is the least of all?

a. 0.5
b. 1/0.5
c. 0.5 x 0.5
d. 0.5 x 2

Q10. Find the least number to be added to 1739 so that it is exactly divisible by 11.

a. 11
b. 2
c. I
d. 10

Q11. Which of the following is in ascending order?

a. 2/3, 3/4, 4/5, 1/2
b. 3/4, 4/5, 1/2, 2/3
c. 1/2, 2/3, 3/4, 4/5
d. 4/5, 1/2, 2/3, ¾

Q12. 1.1+12.12+123.123 =?

a. 134.343
b. 133.433
c. 132.123
d. 136.343

Q13. If they value of θ 30°, then value of tan2 θ + cot2θ

a. 1/3
b. 4/3
c. 9/3
d. 10/3

Q14. A polygon has 9 sides. What is its interior angle?

a. 140°
b. 100°
c. 120°
d. 40°

Q15. 125 - 73 + 48 - 137 + 99 =?

a. 237
b. 62
c. -37
d. 52

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Q16.

IF LNIN and UVW are similar triangles, the value of side s is

a. 4
b. 6
c. 8
d. 9

Q17. Find the Greatest Common Factor of 280 and 144.

a. 2
b. 8
c. 6
d. 4

Q18. 10 dozen apples, 15 dozen mangoes & 20 dozen oranges are kept for sale. 112, 1J3rd & lf 4th of each item respectively have been added. What is the total number of fruits kept for sale now?

a. 720
b. 600
c. 580
d. 820

Q19. Car B is running twice as fast as car A If car A covers a distance of 90 km in 11/2 hrs, what is the speed of car B?

a. 60kmph
b. 90kmph
c. 100 kmph
d. 120 kmph

Q20. Which signs should be interchanged if the equation below needs to be true?
1.5 + 8 x 9 - 16 + 2 = 4

a. x and -
b. ÷ and -
c. + and ÷
d. – and +

Q21. Read the information carefully and select the correct option.

Offer A: Buy one item for Rs. 1599/- and get one free.
Offer B: Buy one item for Rs. 999/- and get another at 50% discount.

a. A is cheaper and B is costlier
b. A is costlier and B is cheaper
c. Cost is same in both cases
d. A and B are not comparable

Q22. If cosθ = 4/5, then (secθ + cosecθ) =

a. 7/5
b. 15/12
c. 35/12
d. 1215

Q23. Comprehension

The bar chart represents sales of four companies C1, C2, C3, and C4 (in millions) for the year 2012, 2013 and 2014.
Consider the bar chart and answer questions based on it.

Q. The ratio of combined sales of C1 and C4 in the year 2013 to that of year 2012 is 9

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

Q24. Comprehension

The bar chart represents sales of four companies C1, C2, C3, and C4 (in millions) for the year 2012, 2013 and 2014.
Consider the bar chart and answer questions based on it.

Q. Which two companies showed increases in their sales from 2012 to 2013?

a. C1, C4
b. C2, C3
c. C3, C4
d. C1, C3

Q25. Comprehension

The bar chart represents sales of four companies C1, C2, C3, and C4 (in millions) for the year 2012, 2013 and 2014.
Consider the bar chart and answer questions based on it.

Q. The combined sales of C2 in 2012 and 2014 is how much more than hat of C3 for the same year?

a. 12%
b. 13.72%
c. 14.75%
d. 17.30%

Q26. R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

a. Rs. 1,860
b. Rs. 1,880
c. Rs. 1,980
d. Rs. 2,000

Q27. A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?

a. 400
b. 404
c. 396
d. 408

Q28. P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

a. 112
b. 213
c. 113
d. 516

Q29. You went to buy 3 articles worth Rs.500 each. However, as per the discount sale going on in the shop, you paid for two and got one free. What is the discount percentage in the deal?

a. 30 %
b. 33 %
c. 33.13 %
d. 33.33 %

Q30. (a-b)2 + 2ab =?

a. a – b
b. a2 + b2
c. a2 - 4ab + b2
d. a2 - 2ab + b2

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

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