Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A and B together can complete a piece of work in 25 days, B and C together can complete the same piece of work in 36 days, while C and A together can complete it in 30 days. If A, B, C, and D together can complete this piece of work in 18 days, then in how many days can D alone complete this piece of work?
210
180
200
225
Correct answer
210
Find the value of \(\frac{1-\cot ^2 \theta}{\tan ^2\theta-1}\)
tan2 θ
tan θ
cot2 θ
cot θ
Correct answer
tan2 θ
A retailer marks up his goods by 130% and offers 25% discount. What will be the selling price (in ₹) if the cost price is ₹ 1600?
2760
1980
3680
1765
Correct answer
2760
Study the given tables and answer the question that follows.
The tables show the number of candidates (in lakh) appearing in an entrance exam from four different cities and the ratio of candidates passing and failing in the same.
| City | P | Q | R | S |
|---|---|---|---|---|
| Number of candidates | 1.10 | 2.26 | 2.12 | 1.46 |
Ratio of candidates passing and failing within the city:
| City | Passing | Failing |
|---|---|---|
| P | 6 | 5 |
| Q | 3 | 7 |
| R | 5 | 7 |
| S | 3 | 5 |
The number of candidates passing the exam from city Q is what percentage of the total number of candidates appearing from all the cities together (rounded off to 2 decimal places)?
11.25%
10.70%
12.93%
9.77%
Correct answer
11.25%
The following table shows the classification of 100 students based on the marks obtained by them in Maths and Science in an examination.
| Subject | Marks out of 100 | ||||
|---|---|---|---|---|---|
| 80 and above | 60 and above | 40 and above | 20 and above | 0 and above | |
| maths | 12 | 35 | 80 | 94 | 100 |
| Science | 16 | 43 | 76 | 88 | 100 |
| Average (Aggregate) | 14 | 39 | 78 | 91 | 100 |
Find the number of students scoring less than 40% marks in aggregates.
28
26
24
22
Correct answer
28
The following table shows the gross turnover (in crores) of a company over 5 years.
| Year | Gross Turnover |
|---|---|
| 2016 | 12 |
| 2017 | 18 |
| 2018 | 25 |
| 2019 | 25 |
| 2020 | 30 |
By what percentage is the gross turnover of 2020 higher than the gross turnover of 2018?
20%
5%
25%
13%
Correct answer
20%
Find the area (in cm2)of the sector of a circle of radius 21 cm with a central angle of 60°.[Use π = 22/7]
302
289
231
245
Correct answer
302
In how many years will ₹2,500 be invested at the rate of 12% per annum simple interest, which amounts to ₹4,900?
4
6
8
2
Correct answer
4
A boat covers 24 km upstream and 36 km downstream in 10 hours, and 36 km upstream and 24 km downstream in 12 hours. The speed of the current is:
\(\rm \frac{33}{13}\frac{km}{h}\)
\(\rm \frac{26}{9}\frac{km}{h}\)
\(\rm \frac{24}{7}\frac{km}{h}\)
\(\rm \frac{25}{8}\frac{km}{h}\)
Correct answer
\(\rm \frac{33}{13}\frac{km}{h}\)
The radius of a hemispherical bow] is 9 cm. The capacity of the bowls is: (Use π = 22/7)
1625.37 cm3
1821.47 cm3
1428.78 cm3
1527.43 cm3
Correct answer
1625.37 cm3
The radius of the base and height of a cone are 5 cm and 6 cm, respectively, whereas the radius of the base and height of a cylinder are 2.5 cm and 3 cm, respectively. The ratio of the volume of the cone to that of the cylinder is: (Where π = 22/7)
8 : 5
3 : 5
9 : 4
8 : 3
Correct answer
8 : 5
Simplify 20 ÷ 5 of 4 × 8 + 6 ÷ 24 of 3 × 48 - 6 ÷ 18 × 9.
6
4
9
1.125
Correct answer
6
Two trains 230 m and 270 m long are running in opposite directions at speeds of 42 km/h and 48 km/h, respectively. They cross each other in:
22 seconds
20 seconds
25 seconds
30 seconds
Correct answer
22 seconds
Which of the following statements is/are correct?
A. A triangle can have all angles less than 60°.
B. A triangle can have one obtuse angle.
C. A triangle can have two right angles.
D. A triangle can have two acute angles.
A
B and D
B
A and C
Correct answer
A
Of the three angles of a triangle, one is twice the smallest and another one is thrice the smallest. Find the value of the smallest angle.
65°
60°
30°
45°
Correct answer
65°
The value of \(\rm 5\frac{1}{4}-\left[3\frac{1}{2}-\left{\frac{5}{6}-\left(\frac{3}{5}\times \frac{1}{10}\div \frac{4}{15}\right)\right}\right]\) is:
\(2\frac{43}{120}\)
\(1\frac{81}{120}\)
\(1\frac{97}{120}\)
\(2\frac{47}{120}\)
Correct answer
\(2\frac{43}{120}\)
Simplify
\(1898\div \left[\frac{13}{4}\times (35+45)-\frac{91}{4}\right]\)
4
8
12
16
Correct answer
4
The following bar graph shows the sales (in thousands) of magazines from six branches (A, B, C, D, E and F) of a publishing company during two consecutive years 2021 and 2022.
What percentage of the total sales of branch C for both years is the total sales of branch F for both years? (round your answer up to two decimal places)
53.25%
85.25%
73.17%
65.21%
Correct answer
53.25%
A boatman rows 2 km in 10 mins, along the stream and 12 km in 2 hours against the stream. What is the speed of the stream?
4 km/h
3.5 km/h
3 km/h
2.5 km/h
Correct answer
4 km/h
A number is first decreased by 10%, then increased by 30% and then further it is decreased by 20%. What is the net decrease percentage in the number?
\(4\frac{1}{5}%\)
\(3\frac{4}{5}%\)
\(6\frac{2}{5}%\)
\(5\frac{3}{5}%\)
Correct answer
\(4\frac{1}{5}%\)
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.