Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The monthly income of Reena was ₹75,200 and her monthly expenditure was ₹22,500. Next year, her income increased by 25% and her expenditure by 14%. Find the percentage increase in her savings (rounded off to 2 decimal places).
30.75%
34.80%
28.25%
29.70%
Correct answer
30.75%
The wages of 10 workers for a six-day week are ₹1,200. What is the one-day wage of one worker?
₹28
₹24
₹20
₹16
Correct answer
₹28
A group of 25 tourists consume 5 containers of food in 8 days in a hotel. How many containers will be required for 10 tourists to eat for 16 days?
4
3
6
5
Correct answer
4
The selling price of 80 items is equal to the cost price of 72 items. What is the percentage of loss incurred in the transaction?
9%
\(11 \frac{1}{9} %\)
12%
10%
Correct answer
9%
A hemispherical bowl has a 21 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹0.05 per cm2 and assuming that the thickness of the bowl is negligible, is:(Use \(\pi=\frac{22}{7}\))
₹410.10
₹188.30
₹277.20
₹388.20
Correct answer
₹410.10
A single discount equivalent to three successive discounts of 10%, 12% and 15% is:
32.68%
33.55%
30.87%
31.87%
Correct answer
32.68%
A dealer advertises that he sales his goods at cost price. But he uses 950 gm for 1 kg weight. Find his gain or loss percentage.
Loss \( \frac{46}{19} %\)
Gain \(\frac{46}{19} %\)
LosS \( \frac{100}{19} %\)
Gain \(\frac{100}{19} %\)
Correct answer
Loss \( \frac{46}{19} %\)
The average temperature of a city for the first four days of the week is 25°C, and the average temperature for the last four days is 30°C. If the average temperature for the entire week is 27°C, then what is the temperature on the fourth day?
29°C
31°C
30°C
28°C
Correct answer
29°C
In a circular race of 950 m length, A and B start with speeds of 18 km/h and 36 km/h, respectively, in the same direction, at the same time, from the same point. After how many seconds will they meet for the first time at the starting point?
90
195
190
95
Correct answer
90
If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?
200
100
400
300
Correct answer
200
In ΔABC, D is the mid‐point of BC and G is the centroid. If GD = 10 cm, then the length of AD is _________.
20 cm
10 cm
15 cm
30 cm
Correct answer
20 cm
Find the fourth proportion of the following numbers: \(\frac{1}{3}\)rd of 27,\(\frac{4}{5}\)th of 30,\(\frac{3}{7}\)th of 35.
35
40
45
38
Correct answer
35
The following table shows the number of eggs produced by five farms A, B, C, D and E over the given years.
| Year | Farm | ||||
|---|---|---|---|---|---|
| A | B | C | D | E | |
| 2017 | 560 | 418 | 630 | 740 | 580 |
| 2018 | 710 | 390 | 460 | 530 | 620 |
| 2019 | 845 | 765 | 480 | 515 | 640 |
| 2020 | 455 | 555 | 746 | 418 | 545 |
What was the average number of eggs produced by Farm B over the given years?
540
575
552
532
Correct answer
540
The average weight of 5 boys is increased by 9 kg when one of them, whose weight is 39 kg, is replaced by another boy. What is the weight (in kg) of the new boy?
69
65
70
84
Correct answer
69
If for a non-zero x, 7x2 + 5x + 7 = 0, then the \(x^3+\frac{1}{x^3}\) is ________.
\(\frac{343}{610}\)
\(\frac{420}{343}\)
\(\frac{610}{420}\)
\(\frac{610}{343}\)
Correct answer
\(\frac{343}{610}\)
Find the sum of 3 + 32<sub> </sub>+ 33 + .......... + 38.
9840
6561
6560
3280
Correct answer
9840
The given pie-chart shows the number of students admitted into various schools, A, B, C, D, E, in a town. The total number of students is 6500. The number of boys in each school is given by the table. Study the pie-chart and the table carefully and answer the question that follows.
| Schools | A | B | C | D | E |
|---|---|---|---|---|---|
| Number of boys | 800 | 850 | 600 | 700 | 765 |
The total number of boys in schools A, C, D is what percentage of the total number of girls in schools B, C, E (rounded to 2 decimal places)?
1.2662
1.2963
1.2863
1.2062
Correct answer
1.2662
Which of the following numbers is divisible by 11?
958749
294621
258913
956127
Correct answer
958749
Find the simple interest (in ₹) on ₹9,900 at 9% per annum in 3 years.
2,683
2,582
2,673
2,512
Correct answer
2,683
In a triangle ABC, P is the midpoint of BC. If AB = (2x + 4) cm, AC = 6 cm and AP⊥ BC, then the value of x is:
3
4
1
2
Correct answer
3
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.