RRB-NTPC 2016 Mathematics
Practice subject-wise previous year questions
Question 226
Arithmetic
In a fitness park, a straight walking path is divided into three consecutive segments. The lengths of the first and third segments are 18 m and 50 m respectively. If the length of the middle segment is the mean proportional between the other two, what is its length?
A
30 mB
27 mC
25 mD
36 mQuestion 227
Arithmetic
A solid right circular cylinder has curved surface area \(1408\pi\) cm 2 . If the volume of the cylinder is maximum, then the ratio of radius to height is
A
\(1:4\)B
\(2:1\)C
\(1:3\)D
\(1:2\)Question 228
Arithmetic
In a parallelogram, the difference of two adjacent angles is 40°. Find the measure of the smaller angle.
A
60°B
80°C
50°D
70°Question 229
Arithmetic
Two taps can fill a cistern in 4 hours and 18 hours, respectively. A third tap can empty it in 18 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?
A
2B
3C
4D
1Question 230
Arithmetic
The price of an article increases and decreases alternately by 20% every year. If the difference between the prices at the end of the second year and third year is ₹1,920, find 40% of the price (in ₹) of the article at the end of the first year.
A
₹4,800B
₹3,200C
₹2,400D
₹3,600Question 231
Arithmetic
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 18% and 39% on any number of toys bought. (B) Successive discounts of 29%, 45% and 4% on any number of toys bought. (C) 29% discount on the first 8 toys and 31% discount on each toy thereon. (D) 7 toys free of cost on buying 8 toys. A customer wants to buy 8 toys. Which of the above schemes is the least beneficial to her?
A
BB
CC
AD
DQuestion 232
Arithmetic
Simplify: \(18 - [6 \times 2 - (3 + 1)] + 7\)
A
17B
15C
21D
19Question 233
Arithmetic
The price of an article is decreased by 24%, but the daily sale of the article is increased by 33%. Find the net effect on the daily sale receipts.
A
2.16% decreaseB
2.16% increaseC
1.08% increaseD
1.08% decreaseQuestion 234
Arithmetic
If 9 notebooks cost ₹135, how much will 20 notebooks of the same type cost?
A
₹270B
₹300C
₹280D
₹320Question 235
Arithmetic
Three numbers are in the ratio 5 : 14 : 9, and their LCM is 7560. Their HCF is:
A
11B
12C
53D
32Question 236
Arithmetic
A trader sells rice, claiming 1 kg but actually gives x grams. He marks the price 20% above the cost price and gives a 10% discount on the marked price. If his overall profit is 25%, find x.
A
864B
856C
825D
870Question 237
Arithmetic
A shopkeeper sells a watch for ₹840 after giving a 30% discount. What was the marked price (in ₹) of the watch?
A
1,100B
1,050C
1,200D
1,000Question 238
Arithmetic
Five years ago, the age of Kavita was one-third of the present age of her mother. After 5 years, the sum of their ages will be 75 years. What is Kavita's present age?
A
21 yearsB
23 yearsC
22 yearsD
20 yearsQuestion 239
Arithmetic
Sarang invested a certain sum of money at 10% per annum. After 2 years, he received ₹178.5 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.
A
180B
170C
185D
165Question 240
Arithmetic
The sum of two positive numbers is 77 and their product is 1392. The positive difference between them is:
A
21B
19C
37D
24Question 241
Arithmetic
A sum of ₹2000 is invested at 20% compound interest per annum, compounded annually for 2 years. What is the compound interest earned at the end of 2 years?
A
₹800B
₹880C
₹1000D
₹900Question 242
Arithmetic
The present age of Amit is twice that of his brother Sumit. Five years ago, the ratio of their ages was 5:2. What is Sumit's present age?
A
8 yearsB
15 yearsC
20 yearsD
10 yearsQuestion 243
Arithmetic
A shirt's price is decreased from ₹200 to ₹180. What is the percentage decrease?
A
5%B
15%C
10%D
20%Question 244
Arithmetic
The price of fuel decreases by 55%, 35% and 45% in three successive months, but increases by 40% in the fourth month. What is the percentage decrease in the price of fuel in the fourth month as compared to its original price? (Round off to 2 decimal places.)
A
77.48%B
81.67%C
76.52%D
73.05%Question 245
Arithmetic
The arithmetic mean of 25 observations is 32.6. If the arithmetic mean of the first 24 observations is 30, what is the 25 th observation?
A
80B
90C
95D
85Question 246
Arithmetic
The fourth proportional to 4, 6, and 8 is m. The third proportional to 8 and m is n. What is the value of n?
A
18B
24C
16D
20Question 247
Arithmetic
A bus travels at a uniform speed of 54 km/hr. How many meters does it cover in 1 minute?
A
600 metersB
750 metersC
800 metersD
900 metersQuestion 248
Arithmetic
What sum (in ₹) will earn a simple interest of ₹1,440 in 2 years at 12% per year rate of interest?
A
6,000B
3,000C
345.6D
12,000Question 249
Arithmetic
A dishonest shopkeeper professes to sell his goods at a 35% loss but uses a false balance and gains 85%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:
A
349.4 gmB
347.2 gmC
351.4 gmD
348.5 gmQuestion 250
Arithmetic
A motorist travels a certain journey in two stages. In the first stage, he travels for one-third of the total time at 30 km/hr. In the second stage, he travels for the rest of the time at 60 km/hr. He returns to the start at a uniform speed of 75 km/hr. What is the average speed for the entire round trip?
A
60 km/hrB
62 km/hrC
58 km/hrD
55 km/hr