RRB-NTPC 2016 Mathematics
Practice subject-wise previous year questions
Question 751
Arithmetic
A and B can do a piece of work in 12 days and 20 days, respectively. Both work for 3 days and then A leaves. How long (in days) will B take to complete the remaining work?
A
11B
13C
12D
14Question 752
Arithmetic
The ratio of land to water for Earth as a whole is 1:3, and it is 2:5 in the Northern hemisphere. If the areas of the Northern and the Southern hemispheres are equal, then the ratio of land to water in the Southern hemisphere is:
A
1:5B
11:7C
7:5D
3:11Question 753
Arithmetic
The total surface area of a cube having side 64 cm is:
A
24,528 cm 2B
24,589 cm 2C
24,576 cm 2D
24,548 cm 2Question 754
Arithmetic
Four years ago, Ravi was thrice as old as Kaviraj. At present, Ravi is twice as old as Kaviraj. Find Ravi's age at present.
A
14 yearsB
16 yearsC
10 yearsD
8 yearsQuestion 755
Arithmetic
Find the compound interest on ₹25,600 at the rate of \(12\tfrac12\) % interest per annum for 2 years 3 months, compounded annually.
A
₹8,650.50B
₹7,812.50C
₹10,580.50D
₹9,750.50Question 756
Arithmetic
A family increases its monthly income by 10% but their monthly expenditure rises by 20%. If their original monthly income was ₹45,000 and monthly expenditure was ₹36,000, what is the new monthly savings after the increase?
A
₹6,400B
₹6,500C
₹6,200D
₹6,300Question 757
Arithmetic
An article is sold at a profit of 20%. If the selling price is reduced by 10%, what will be the profit percentage?
A
20%B
8%C
6%D
12%Question 758
Arithmetic
The shadow of a tower increases by 20 m when the sun's altitude changes from 60 \(^\circ\) to 45 \(^\circ\) . Find the length (rounded off to one decimal place, in m) of the tower. (Use \(\sqrt3 = 1.7\) )
A
24.7B
48.6C
17.4D
27.5Question 759
Arithmetic
The LCM of the numbers 3, 7.2 and 0.64 is:
A
96B
144C
153D
72Question 760
Arithmetic
If a sum is invested at a simple interest rate of 8% per annum for 9 months to earn an interest of ₹18,000, what was the principal amount invested?
A
₹3,00,000B
₹2,50,000C
₹4,00,000D
₹3,50,000Question 761
Arithmetic
Pipes C and D can fill a tank of 3,000 litres in 6 hours and 4 hours, respectively. Working together, how many hours will they take to fill a 6,000-litre tank?
A
3.5 hoursB
6 hoursC
4.8 hoursD
4.44 hoursQuestion 762
Arithmetic
ABCD is a quadrilateral in which AB \(\parallel\) DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 23 cm, BC = 91 cm, DC = 35 cm, and AD = 62 cm, then what is the length (in cm) of EF?
A
7B
8C
9D
6Question 763
Arithmetic
A man covers a certain distance by train. Had the train moved 14 km/hr faster, it would have taken 35 minutes less. If it moved 10 km/hr slower, it would have taken 30 minutes more. Find the distance covered by the train during the journey.
A
480 kmB
780 kmC
720 kmD
560 kmQuestion 764
Arithmetic
Find the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5.
A
59B
69C
50D
53Question 765
Arithmetic
The price of a machine is increased by 20%. Due to a fall in demand, the increased price is then decreased by 25%. Finally, the price is again increased by 10%. The overall percentage change in the price of the machine is:
A
1% increaseB
1.1% decreaseC
1.1% increaseD
1% decreaseQuestion 766
Arithmetic
The average of 7 consecutive even numbers is 32. Find the sum of the smallest and largest numbers.
A
68B
62C
64D
66Question 767
Arithmetic
The sum of two positive numbers is 13 and their product is 30. The positive difference between them is:
A
8B
9C
12D
7Question 768
Arithmetic
Two equal sums of money are lent out for 2 years each, one at 5% per annum simple interest and the other at 7% per annum simple interest. If the difference in simple interest earned on the two sums is ₹40, then what was the principal of each sum (in ₹)?
A
1,400B
1,000C
800D
1,200Question 769
Arithmetic
In a business, P invests ₹2,00,000 for 8 months, Q invests ₹1,50,000 for 9 months and R invests ₹1,20,000 for some complete months. After a year, out of the profit, R gets a higher profit amount than Q but less than P. If R gets ₹72,000 as profit, then the profit of P is ₹_______.
A
80,000B
90,000C
1,00,000D
1,20,000Question 770
Arithmetic
When the cost of an article was decreased by 7%, the number of articles sold was increased by 20%. What was the effect (in percentage) on the revenue?
A
increase of 10.4%B
decrease of 10.6%C
decrease of 9.6%D
increase of 11.6%Question 771
Arithmetic
During a sale, 50% of the goods are sold at 21% profit, 30% of the remaining goods are sold at 43% profit and the still remaining goods are sold at a loss of 17%. If there is an overall profit of x%, then what is the value of x?
A
12B
11.5C
10.5D
11Question 772
Arithmetic
The radius of a spherical balloon is increased by 20%. Find the percentage increase in its surface area.
A
20%B
22%C
44%D
40%Question 773
Arithmetic
Evaluate \(22^3 + (-6)^3 + (-16)^3\)
A
6127B
6147C
6336D
6099Question 774
Arithmetic
A club received an income of ₹7,643 from membership fees and ₹2,198 from selling old sports equipment during the year. At the start of the year, ₹1,105 in membership fees was outstanding, and at the end of the year, ₹916 was still outstanding. If the club incurred expenditures of ₹5,287 on sports material and ₹3,120 on maintenance, what is the club's surplus or deficit for the year?
A
₹2,613 deficitB
₹2,613 surplusC
₹1,975 deficitD
₹1,245 surplusQuestion 775
Arithmetic
The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?
A
₹32,500B
₹35,000C
₹37,500D
₹30,000