RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 126
Arithmetic

A student initially scored equal marks in Mathematics and Physics. Later, the marks in Mathematics increase by 20% of the original Mathematics marks, while the marks in Physics decrease by 10% of the original Physics marks. Taking the initial total marks as the base, what is the overall percentage change in the total marks?

A
10% increase
B
5% decrease
C
5% increase
D
No change
Question 127
Arithmetic

The largest four-digit number which when divided by 15, 12 and 14 leaves remainder 5 in each case is:

A
9595
B
9192
C
9665
D
9988
Question 128
Arithmetic

Three friends Arshdeep, Sandeep and Avtar are on a trip by a car. Arshdeep drives during the first 3 hours at an average speed of 52 km/hr. Sandeep drives during the next 4 hours at an average speed of 65 km/hr. Avtar drives for the next 3 hours at an average speed of 76 km/hr. They reached their destination after exactly 10 hours. Their average speed during the journey was:

A
64.4 km/hr
B
60.2 km/hr
C
56.4 km/hr
D
65.2 km/hr
Question 129
Arithmetic

The present ages of two sisters are in the ratio \(5:7\) . After 4 years, their ages will be in the ratio \(6:8\) . Find the present age of the younger sister.

A
22 years
B
20 years
C
18 years
D
24 years
Question 130
Arithmetic

A cricketer has scored an average of 55 runs in 9 matches. In the 10th match, he scores 85 runs. What is his new average?

A
57
B
58
C
56
D
55
Question 131
Arithmetic

A bookseller bought 7 identical sets of books at ₹375 each. He sold 3 sets at a profit of 16% per set and the remaining sets at a profit of 24% per set. What was his total profit (in ₹) from selling all the sets?

A
₹504
B
₹588
C
₹540
D
₹572
Question 132
Arithmetic

A group of 3 adults and 4 children pay ₹380 for movie tickets. Another group of 2 adults and 3 children pay ₹270 for the same tickets. What is the price of one adult ticket?

A
₹80
B
₹50
C
₹60
D
₹70
Question 133
Arithmetic

A Company produces 1,520 packets of noodles in 5 hours. How many packets will it produce in 17 hours at the same rate?

A
5,861
B
5,816
C
5,168
D
5,618
Question 134
Arithmetic

The sum of all interior angles of a regular polygon is 1800°. How many diagonals does the polygon have?

A
51
B
50
C
53
D
54
Question 135
Arithmetic

A, B, and C start a business by investing ₹60,000, ₹80,000, and ₹1,20,000, respectively. After one year, the total profit earned is ₹78,000. By how much does C’s share exceed B’s share?

A
₹9,800
B
₹12,000
C
₹9,400
D
₹10,600
Question 136
Arithmetic

The diagonals of a rhombus are mutually perpendicular and bisect each other. One diagonal is 10 cm longer than the other. If the area of the rhombus is 600 cm 2 , the perimeter (in cm) of the rhombus is:

A
96 cm
B
84 cm
C
100 cm
D
120 cm
Question 137
Arithmetic

A shopkeeper offers two successive discounts of 18% and 15% on a frock whose marked price is ₹1,000. What is the final selling price (in ₹) of the frock?

A
679
B
796
C
769
D
697
Question 138
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price.  (A) Successive discounts of 43% and 19% on any number of toys bought.  (B) Successive discounts of 41%, 21% and 49% on any number of toys bought.  (C) 35% discount on the first 5 toys and 3% discount on each toy thereon.  (D) 4 toys free of cost on buying 5 toys.  A customer wants to buy 5 toys. Which of the above schemes is the least beneficial to her?

A
D
B
A
C
B
D
C
Question 139
Arithmetic

A tank can be filled by pipe P in 8 hours and by pipe Q in 4 hours. If they open alternately for one hour each with Q starting first, what is the total time taken to fill the tank?

A
5 hours
B
4 hours and 40 minutes
C
6 hours
D
5 hours and 20 minutes
Question 140
Arithmetic

The average of 5 consecutive integers is 10. What is the smallest integer?

A
8
B
9
C
6
D
7
Question 141
Arithmetic

A man is walking at 4 km/hr. A 180 m long train crosses him in 12 seconds while coming from the opposite direction. What is the speed of the train (in km/hr)?

A
32
B
50
C
61
D
45
Question 142
Arithmetic

Ram has ₹1000 in the denomination of ₹10, ₹20 and ₹5 notes. If the number of ₹10 notes is 16 more than that of ₹20 notes and the number of ₹5 notes is twice the number of ₹20 notes, find the total number of notes that Ram has.

A
90
B
120
C
80
D
100
Question 143
Arithmetic

At present, a father is 30 years older than his son. In 12 years, the father will be three times as old as his son. What is the present age of the son?

A
4 years
B
5 years
C
6 years
D
3 years
Question 144
Arithmetic

In a science experiment, chemicals X, Y, and Z are mixed in the ratio 5:2:3. If the total weight of the mixture is 100 grams, how much of chemical Y is present?

A
10 grams
B
50 grams
C
20 grams
D
30 grams
Question 145
Arithmetic

Two solid hemispheres are joined together to make a sphere. The total surface area of solids reduced by approximately ____%.

A
25
B
50
C
66.67
D
33.33
Question 146
Arithmetic

Two trains, A and B, start simultaneously from stations Delhi and Mumbai respectively towards each other on parallel tracks. After meeting, train A takes 16 hours to reach Mumbai, and train B takes 9 hours to reach Delhi. If train A's speed is 60 km/h, what is the length of train B (in meters), given that it crosses a pole in 18 seconds?

A
280
B
420
C
300
D
400
Question 147
Arithmetic

The expenditures of R are 65% of his salary. If his salary increased by 10% and his savings are ₹3,150 more than previous savings, his expenditures are now 60% of his salary. His present salary is ₹______.

A
37,500
B
35,000
C
39,000
D
38,500
Question 148
Arithmetic

Lekhraj sells an article at a profit of 25%. If the cost price is increased by 20% and the selling price is reduced by 10%, what percentage loss will Lekhraj incur?

A
6.25%
B
6.5%
C
7.25%
D
7.5%
Question 149
Arithmetic

Three numbers are in the ratio 17 : 13 : 8, and their LCM is 7072. Their HCF is:

A
23
B
3
C
12
D
4
Question 150
Arithmetic

The 5-digit number 7a35b is divisible by 45, where a and b are positive integers. What is the value of (a + b)?

A
7
B
14
C
5
D
12