RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 51

Arithmetic

The arithmetic mean of the first 15 numbers is 82. The mean is reduced by 6 when one of the numbers is removed. Find the number that is excluded?

A

142

B

100

C

166

D

164

Question 52

Arithmetic

The perimeter of a rhombus is 100 meters and one of its diagonals is 14 meters long. What is the length of the other diagonal?

A

48 meters

B

40 meters

C

42 meters

D

50 meters

Question 53

Arithmetic

Which of the ratios given below is the greatest among them?

A

5 : 8

B

3 : 5

C

7 : 11

D

4 : 7

Question 54

Arithmetic

If 4 sinθ + cosecθ = 4, 0° < θ < 90°, then the value of sin 3θ + cos 3θ is

A

-1

B

0

C

1

D

2

Question 55

Arithmetic

In a class, the average score of 8 boys is 56 and the average score of 4 girls is 80. What is the average score of all 12 students?

A

62

B

66

C

68

D

64

Question 56

Arithmetic

The 7-digit number 46A484B is divisible by 24. What is the minimum value of (A + B)?

A

6

B

3

C

1

D

4

Question 57

Arithmetic

Sunil purchased a microwave oven for ₹7,000. He spent ₹400 on its transportation and ₹600 on repairs. He sold the oven for ₹9,800. What is his percentage profit on total investment?

A

22.5%

B

23.5%

C

20.5%

D

21.5%

Question 58

Arithmetic

A and B invest in a business in the ratio 5 : 7. After 4 months, C joins the business with an investment equal to the amount invested by A. At the end of one year, the total profit is ₹92,000. Find the sum (in ₹) of the shares of partners B and C.

A

₹66,800

B

₹49,600

C

₹62,000

D

₹64,400

Question 59

Arithmetic

Which of the following numbers is completely divisible by 6?

A

5,47,821

B

7,53,216

C

8,91,452

D

6,42,538

Question 60

Arithmetic

A person walks from point P to Q at 5 km/hr and returns from Q to P along the same route jogging at 10 km/hr. If the total time taken is 3 hours, what is the distance between P and Q?

A

10 km

B

5 km

C

15 km

D

20 km Section

Question 61

Arithmetic

A television is marked at ₹50,000. A retailer gives a 15% discount on the first 70% of the price and a 5% discount on the rest. What is the total percentage discount offered?

A

13%

B

12%

C

11%

D

10%

Question 62

Arithmetic

A retailer buys 60 pens and sells them at the purchase price of 72 pens. Determine his profit percentage.

A

12%

B

20%

C

16%

D

15%

Question 63

Arithmetic

Two trains, X and Y, are running on parallel tracks. Train X is 200 m long and travels at 72 km/hr. Train Y is 300 m long. If the trains are traveling in opposite directions, they pass each other completely in 15 seconds. If the trains were traveling in the same direction, how long would it take for the faster train to overtake the slower one?

A

72 seconds

B

75 seconds

C

78 seconds

D

67.5 seconds

Question 64

Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price.  (A) Successive discounts of 44% and 12% on any number of toys bought.  (B) Successive discounts of 18%, 43% and 23% on any number of toys bought.  (C) 8% discount on the first 4 toys and 38% discount on each toy thereon.  (D) On buying ten items, the customer is billed for only seven items.  A customer wants to buy 10 toys. Which of the above schemes is the least beneficial to her?

A

D

B

C

C

B

D

A

Question 65

Arithmetic

A shopkeeper marks an item at ₹4,000. During a festival, he first offers a discount of 25% on the marked price. After a week, he increases the discounted price by 20% to earn more profit. What is the final selling price of the item after these successive changes?

A

₹3,600

B

₹3,400

C

₹3,500

D

₹3,700

Question 66

Arithmetic

The speeds of two cars are in the ratio \(5 : 7\) . The faster car covers 140 km in 2 hours. How much distance will the slower car cover in the same time?

A

70 km

B

140 km

C

100 km

D

90 km

Question 67

Arithmetic

The sum of two numbers is 72. If the larger number is increased by 8 and the smaller number is decreased by 6, then the resulting numbers are in the ratio \(3 : 2\) , respectively. Find the smaller of the original two numbers.

A

32.5

B

35.6

C

35

D

34.2

Question 68

Arithmetic

If \(\sin 6A = \cos 12A\) , find the value of \(\tan 9A + \cot 9A\) .

A

1

B

-2

C

2

D

0

Question 69

Arithmetic

Two taps can fill a cistern in 4 hours and 11 hours, respectively. A third tap can empty it in 11 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A

1

B

3

C

4

D

2

Question 70

Arithmetic

Which of the following digits should replace X so that the three-digit number 2X2 is divisible by 4?

A

0

B

1

C

2

D

4

Question 71

Arithmetic

Find the single discount equivalent to three successive discounts of 10% on a commodity.

A

28.2%

B

26.9%

C

25.8%

D

27.1%

Question 72

Arithmetic

Trains from Delhi, Lucknow, and Jaipur depart every 12 minutes, 18 minutes, and 27 minutes, respectively. If all depart together at 6:00 am, when will they depart together again?

A

7:48 am

B

7:36 am

C

7:40 am

D

7:24 am

Question 73

Arithmetic

ABCD is a quadrilateral in which AB ∥ DC, and E and F are the mid points of the diagonals AC and BD, respectively.  If AB = 74 cm, BC = 91 cm, DC = 26 cm, and AD = 39 cm, then what is the length (in cm) of EF?

A

24

B

25

C

21

D

22

Question 74

Arithmetic

A train runs at 72 km/h for 3 hours and then at 60 km/h for 1.5 hours. What is the average speed of the train?

A

68 km/h

B

66 km/h

C

65 km/h

D

67 km/h

Question 75

Arithmetic

If the principal is ₹1000, the rate is 5% per annum, and the time is 2 years, what is the simple interest?

A

₹50

B

₹200

C

₹500

D

₹100

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