RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 726
Arithmetic

The ages of father and son are in the ratio of 12:7. Four years from now, their ages will be in the ratio of 5:3. Find the sum of their present ages.

A
128 years
B
152 years
C
119 years
D
139 years
Question 727
Arithmetic

If the ratio of the height of a tower and the length of its shadow on the ground is √3 : 1, then the angle of elevation of the sun is:

A
65°
B
45°
C
60°
D
30°
Question 728
Arithmetic

P sells an item to Q and earns 12% profit. Q sells it to R and earns a profit of ₹26. If the item was sold to R directly by P at the same price, the percentage of profit would have been 25%. The cost price of the item is ₹_____.

A
180
B
220
C
250
D
200
Question 729
Arithmetic

A cyclist travels from town A to town B, a distance of 182 km. For the first 84 km, he rides at a certain speed. For the remaining distance (98 km), he increases his speed by 7 km/h and therefore reaches 42 minutes earlier than the time he would have taken if he had travelled the entire distance at the original speed. Find the original speed.

A
21 km/hr
B
28 km/hr
C
22.5 km/hr
D
24 km/hr
Question 730
Arithmetic

What is the average of prime numbers lying between 5 and 30?

A
17
B
19
C
21
D
23
Question 731
Arithmetic

A fruit seller uses a faulty balance that reads 900 grams as 1 kg. He sells apples at ₹150 per kg (as per faulty balance). If his purchase price is ₹120 per kg (actual weight), what is his actual profit percentage?

A
\(38\tfrac89\) %
B
\(38\tfrac49\) %
C
\(37\tfrac89\) %
D
\(37\tfrac49\) %
Question 732
Arithmetic

₹1,472 is divided among Rohit, Maya, and Vikas in such a way that if ₹25, ₹52, and ₹18 be deducted from their respective shares, they have money in the ratio 15:19:17. Find Vikas's amount after deduction.

A
₹359
B
₹509
C
₹559
D
₹459
Question 733
Arithmetic

The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 89% and 68%, shop II allows successive discounts of 50% and 51%, shop III allows successive discounts of 25% and 11% and shop IV allows successive discounts of 94%, 49%, and 21% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?

A
I
B
IV
C
II
D
III
Question 734
Arithmetic

If the cost of 6 chocolates, 12 chocolates, and x chocolates are in proportion such that x is the third proportional, how many chocolates correspond to x?

A
24
B
32
C
28
D
26
Question 735
Arithmetic

The average of 8 numbers is 43. If each number is decreased by 7, what will the new average be?

A
43
B
36
C
8
D
29
Question 736
Arithmetic

The mode of the numbers 7, 8, 7, 9, 10 is:

A
7
B
9
C
10
D
8
Question 737
Arithmetic

Two trains of lengths 100 m and 150 m are moving in opposite directions at 40 km/h and 60 km/h, respectively. Find the time taken by the trains (in seconds) to cross each other other.

A
8 seconds
B
9.5 seconds
C
9 seconds
D
8.9 seconds
Question 738
Arithmetic

The present ages of A and B are in the ratio 5 : 7. After 6 years, the sum of their ages will be 60 years. What is A's present age?

A
40 years
B
20 years
C
25 years
D
30 years
Question 739
Arithmetic

A wholesaler allows a scheme discount of 25% on an article whose marked price is ₹2,400. The retailer is required to pay the remaining amount in full. What is the net price paid by the retailer?

A
₹1,700
B
₹1,750
C
₹1,900
D
₹1,800
Question 740
Arithmetic

A sum, when invested at 20% simple interest per annum, amounts to ₹5,040 after 3 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 years?

A
630
B
2,520
C
5,040
D
1,260
Question 741
Arithmetic

If 31 × 13 + 18 × 86 – 86 = y, then what is the value of y?

A
1765
B
1865
C
1665
D
1965
Question 742
Arithmetic

An article is sold at a profit of 38%. If the cost price is increased by ₹20 and the selling price is reduced by ₹45, then the profit would be 37.5%. What is the original cost price (in ₹) of the article?

A
14,400
B
14,700
C
14,300
D
14,500
Question 743
Arithmetic

A trader offers "Buy two, get one free" on a certain pair of trousers. If the marked price of the pair of trousers is ₹ 2700, and the trader still earns a profit of 20%, find the cost price of one pair of trousers for the trader.

A
₹ 1,550
B
₹ 1,450
C
₹ 1,500
D
₹ 1,600
Question 744
Arithmetic

A car covers 360 km at a uniform speed in 8 hours. Find its speed in metres per second.

A
13.5 m/s
B
12.5 m/s
C
12 m/s
D
13 m/s
Question 745
Arithmetic

A factory produces three types of widgets: A, B, and C. In one week, 12 units of A (average weight 47 kg each), 8 units of B (average weight 62 kg each), and 15 units of C (average weight 53 kg each) are manufactured. What is the weighted average weight of the widgets produced in that week?

A
51 kg
B
54 kg
C
52.5 kg
D
53 kg
Question 746
Arithmetic

A number is divided into two sections such that one part is 10 more than the other. If their ratio is 6:4, what are the two parts of the number?

A
30 and 20
B
32 and 22
C
32 and 20
D
34 and 24
Question 747
Arithmetic

A, B and C are partners in a business. A, whose money has been used for 4 months, claims \(\tfrac18\) of the profit. B, whose money has been used for 6 months, claims \(\tfrac13\) of the profit. C had invested ₹ 1560 for 8 months. How much money did A contribute?

A
₹794
B
₹690
C
₹810
D
₹720
Question 748
Arithmetic

If the wages for 9 workers for 8 days are ₹2,880, what will be the wages for 15 workers for 9 days at the same rate?

A
₹3,880
B
₹5,400
C
₹3,600
D
₹3,520
Question 749
Arithmetic

To prepare a fruit punch, 2 litres of orange juice are mixed with 5 litres of water. How much water is required if 5 litres of orange juice are used?

A
12.5 litres
B
18 litres
C
15.5 litres
D
10 litres
Question 750
Arithmetic

A customer orders food online worth ₹1,000. The food delivery app offers a flat promotional discount of 20% on the bill. After this discount, if the amount falls between ₹650 to ₹800 (both inclusive), an additional discount of 5% is applied on that bill. If the bill includes a fixed delivery charge of ₹80 on all orders, what is the final amount the customer has to pay?

A
₹840
B
₹760
C
₹800
D
₹900