# (Paper) RRB ALP Paper Stage-2 : Exam Paper & Answer Key Held on 21-Jan-2019 Shift-3 (Mathematics)

## (Paper) RRB ALP Paper Stage-2 : Exam Paper &
Answer Key Held on 21-Jan-2019 Shift-3

(Mathematics)

## Q1. A retailer sells an item for Rs.486 and he makes 8% profit. If he were to sell that item for Rs.414, then he would make:

a. 8% loss

b. 12% loss

c. 4% loss

d. 10% loss

## Q2. The bar graph shows the marks scored by Anny and bunty in their exam, Which had 6 papers of 100 marks each. If Bunty had scored 25% less in Paper C and 10 marks more in paper A, then he would have scored how much more than Annu in exam?

a. 10%

b. 16.67%

c. 15%

d. 12.25%

## Q3. A trader buys 200 kg of grain for Rs. 8,000. 4% of this grain is lost in transportation. At what rate should he sell the rest to earn 20% profit?

a. Rs. 48/kg

b. Rs. 45/kg

c. Rs. 54/kg

d. Rs. 50/kg

## Q4. (0.1 X 0.1 X 0.1 + 0.04 X 0.04) ÷ (0.2 X 0.2 X 0.2 + 0.08 X 0.08 X 0.08) = _______.

a. 0.025

b. 0.125

c. 0.02

d. 0.08

## Q5. The ratio of the present salaries of Vinod and manoj is 6:7. If both of them get their salaries increased by Rs. 16,000, then the ratio became 8:9. What is the present salary of manoj?

a. Rs. 56,000

b. Rs. 64,000

c. Rs. 48,000

d. Rs. 72,000

## Q6. 12 - 20% of (42 X 5 ÷15 - 18 x 10 ÷ 15 + 8) = _______

a. 10

b. 8

c. 12

d. 6

## Q7. If 5x/2 - 5/3 (3/2 + 4x/3) = ⅚ then the value of x is:

a. 4

b. 12

c. 6

d. 3

## Q8. A pilgrim travelled a distance of 50 km in 7.5 hours. He travelled partly on foot at 4 km/hr and partly on a bullock cart at 12 km/hr. The distance travelled on foot is _____km.

a. 26

b. 30

c. 20

d. 24

## Q9. The difference between the two binary numbers 10010000 and 1111001 is :

a. 11011

b. 11101

c. 10111

d. 10011

## Q10. A seller starts on her daily routine. She walks 7 km north, then turns west and walks 6 km, then turns south and walk 2km, then turns and walks 3km, then turns to her left and walks 5km. Where is she now reference to her starting position?

a. 3 km west

b. 3 km east

c. 9 km west

d. 9 km east

## Q11. If 25% of a=b, then b% of 160 is same as:

a. 80% of a

b. 40% of a

c. 60% of a

d. 50% of a

## Q12. Due to engine trouble, an Express train goes at 9/10th usual speed and arrives at 2:34 pm instead of 2:28 pm. At what time did it start?

a. 1: 36 pm

b. 1: 40 pm

c. 1: 32 pm

d. 1: 34 pm

## Q13. Working together, if A,B and C can finish a task in 4 days. However, after starting the task, B quits and A and C finish the remaining task in 6 days. How many days would B take to finish if he had to perform the task alone?

a. 15

b. 9

c. 8

d. 12

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## Q14. If the curved surface area of a cone of radius 14 cm is 2200 cm², find its height (in cm).

a. 56

b. 50

c. 49

d. 48

## Q15. Find the slope of the line given by the equation 4x + 6y = 9.

a. -3/2

b. ⅔

c. 3/2

d. -⅔

## Q16. The mean of the numbers 1,4,9,X, 12, 14, 15 and 16 is 10. Find the mode.

a. 11

b. 10

c. 9

d. 12

## Q17. Cot 30° - ½ X cosec 60° =

a. ⅔

b. √2/√3

c. √2/3

d. 2/√3

## Q18. What is the area (in cm²) of a rhombus if the lengths of its diagonals are 18 cm and 14 cm?

a. 252

b. 126

c. 63

d. 504

## Q19. what is the difference between the compound interest on a sum of Rs. 10,000 for 1 year at 10% per annum, when compounded yearly and half-yearly?

a. Rs. 25

b. Rs. 10

c. Rs. 5

d. Rs. 50

## Q20. Find the least common multiple of 48 and 54.

a. 144

b. 342

c. 234

d. 432

## Q21. √0.015625 X √0.0256 = ________.

a. 0.004

b. 0.04

c. 0.002

d. 0.02

## Q22. A can finish 25% of task in 3 days and B can finish half of the task in 18 days. If they work on it together, in how many days can they finish the task?

a. 15

b. 6

c. 9

d. 12

## Q23. 5 years ago, father’s age was 8 times Rohan’s age. 5 years hence, the ratio of father’s age to Rohan’s age will be 10:3. What is Rohan’s present age?

a. 10 years

b. 8 years

c. 15 years

d. 12 years

## Q24. If a + b = 9 and a² +b² =53 , then find the value of ab..

a. 20

b. 8

c. 14

d. 18

## Q25. What is the binary equivalent of decimal 413?

a. 110011101

b. 110110111

c. 111001001

d. 100111111

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## Answer:-

1. (a) 2. (b) 3. (d) 4. (b) 5. (a) 6. (a) 7. (b) 8. (c) 9. (c) 10. (c)

11. (b) 12. (d) 13. (d) 14. (d) 15. (d) 16. (c) 17. (d) 18. (b) 19. (a) 20. (d)

21. (d) 22. (c) 23. (a) 24. (c) 25. (a)

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