Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If 20 men can complete a piece of work in 18 days working 5 hours per day, in how many days can 25 men complete it, working 6 hours per day?
10 days
13 days
11 days
12 days
Correct answer
10 days
What is the value of [0.7 × 0.4 ÷ (0.28 - 0.2 × 0.3) + 1.2 × 1.6]?
\(\frac{878}{275}\)
\(\frac{1161}{550}\)
\(\frac{1273}{550}\)
\(\frac{971}{275}\)
Correct answer
\(\frac{878}{275}\)
What is the approximate rate of simple interest per annum, if a sum of money becomes 6 times of itself in 15 years?
30%
2.5%
33.33%
25%
Correct answer
30%
The following bar chart shows the numbers of white and black cars sold of 5 different brands in a city during a given year.
X = Average number of black cars sold per brand.
Y = Average number of white cars sold per brand.
What is the value of Y - X?
20
18
12
16
Correct answer
20
The following table shows the number of watches of 5 brands sold by two showrooms.
| Showroom 1 | Showroom 2 | |
|---|---|---|
| Brand 1 | 60 | 35 |
| Brand 2 | 55 | 75 |
| Brand 3 | 75 | 50 |
| Brand 4 | 48 | 62 |
| Brand 5 | 52 | 38 |
M = per brand average number of watches sold from Showroom 1
What is the ratio of the number of watches of Brand 3 sold from Showroom 2 to M?
27 : 31
28 : 37
25 : 29
26 : 33
Correct answer
27 : 31
The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the length of the largest side?
12 cm
18 cm
20 cm
15 cm
Correct answer
12 cm
The price of a certain item is increased by 4%. If the price of the item after the increase is ₹832, then what was the original price of the item?
₹800
₹812
₹900
₹940
Correct answer
₹800
If an article is sold at a 6% profit instead of a 6% loss, the seller gets ₹60.72 more. Find the CP of the article?
₹506
₹606
₹572
₹672
Correct answer
₹506
What is the value of \(\frac{\frac{1}{2}\times\frac{1}{24}\div\frac{1}{36}+\frac{1}{48}-\frac{1}{60}}{\frac{1}{12}+\frac{1}{24}+\frac{1}{36}\times\frac{1}{6}}\)?
\(\frac{1841}{119}\)
\(\frac{1629}{280}\)
\(\frac{1131}{124}\)
\(\frac{733}{145}\)
Correct answer
\(\frac{1841}{119}\)
J1 can do a piece of work alone in 10 days, J2 can do the same work alone in 12 days, while J3 can do it alone in 15 days. They work together and complete the work, and receive a total of ₹2,250 for doing the work. What is the difference in the shares of J1 and J3?
₹450
₹400
₹300
₹350
Correct answer
₹450
What is the average of the natural numbers from 1 to 43?
32
22
44
43
Correct answer
32
If a : b : c = 2 : 3 : 7, then what is 2a : 3b : 7c?
4 : 9 : 49
5 : 10 : 52
6 : 10 : 49
6 : 10 : 47
Correct answer
4 : 9 : 49
A person buys some bananas at ₹Y per dozen and sells them at ₹\(\frac{Y}{4}\) per banana. What is his gain percentage?
200%
50%
80%
100%
Correct answer
200%
If \(\frac{{2x + 3}}{{18 \div 3 \times 4 + 2}} = \frac{{12 \times 3 + 5}}{{2 \times 4 \div 2}}\), then what is the value of x?
132.25
131.75
134.35
120.5
Correct answer
132.25
A toy is in the shape of a cylinder surmounted by a hemisphere. The total height of the toy is 15 cm and the radius of the hemisphere is 6 cm. What is the volume of the toy?
496π cm3
476π cm3
458π cm3
468π cm3
Correct answer
496π cm3
What is the average of the cubes of the first 7 natural numbers?
84
105
96
112
Correct answer
84
A purchased a book for ₹1,600. A sold it to B at a loss of 10% and B sold it to C at a loss of 20%. At what price did C purchase this book?
₹1,224
₹1,442
₹1,152
₹1,098
Correct answer
₹1,224
The table below shows the number of bags of cements of 5 different brands sold by a shop on a particular day.
| Cement | Bags |
|---|---|
| C1 | 61 |
| C2 | 39 |
| C3 | 19 |
| C4 | 51 |
| C5 | 40 |
The weight of each bag of cement is the same and is equal to 45 kg. What is the total weight of cement of all the bags taken together?
9150 kg
8750 kg
9850 kg
9450 kg
Correct answer
9150 kg
A alone can do a piece of work in 7 days, while B alone can do it in 10 days. In how many days will they complete the same work if they both work together?
\(\frac{{105}}{{17}}\) days
\(\frac{{35}}{{17}}\) days
\(\frac{{70}}{{17}}\) days
\(\frac{{84}}{{17}}\) days
Correct answer
\(\frac{{105}}{{17}}\) days
What is the least number which when divided by 18, 24 and 36 leaves 3 as a remainder in each case?
75
93
111
99
Correct answer
75
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.