Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If \(x\)(\left(5-\frac{2}{x}\right) \) = \(\frac{5}{x} \), then the value of \(x\)2 +\(\frac{1}{x^2}\) is:
\(\frac{54}{25}\)
\(\frac{53}{28}\)
\(\frac{53}{27}\)
\(\frac{54}{23}\)
Correct answer
\(\frac{54}{25}\)
A person covers 28 km while walking at a speed of 8 km/h. How much distance (in km) will he cover in same time if he walks at a speed of 6 km/h?
36
28
32
21
Correct answer
36
Find the third proportional to 23 and 31.
\(\frac{31}{23}\)
\(\frac{961}{23}\)
\(\frac{23}{31}\)
\(\frac{23}{961}\)
Correct answer
\(\frac{31}{23}\)
The least number which should be added to 1351 so that the sum is exactly divisible by 2,4,6 and 8 is:
11
15
13
17
Correct answer
11
In an election, Ajay and Mohan are contesting for the Secretary post in a trade union of 9000 workers. 80% of the workers cast their votes, out of which 20% votes were found invalid. Ajay defeated Mohan by 1152 votes. How many votes did Ajay get?
3456
2304
4480
3546
Correct answer
3456
Two numbers are in the ratio of 4 ∶ 3. The product of their HCF and LCM is 2700. The difference between the numbers is:
15
30
25
105
Correct answer
15
Study the given table and answer the question that follows.
The table shows the number of pages printed by four printers in three days.
| Days | Printers | |||
|---|---|---|---|---|
| A | B | C | D | |
| Friday | 350 | 451 | 412 | 206 |
| Saturday | 420 | 325 | 365 | 251 |
| Sunday | 238 | 198 | 258 | 326 |
What is the respective ratio between total number of pages printed by printer D on Friday and Sunday together and total number of pages printed by printer A on Friday and Saturday together?
34 ∶ 51
38 ∶ 55
51 ∶ 34
55 ∶ 38
Correct answer
34 ∶ 51
If (48 ÷ 72 × 3) – [15 ÷ 8 × (40 – 32) – 10] + 2P = 6 ÷ 2, then find the value of P?
3
4
2
1
Correct answer
3
Study the given pie chart and answer the question that follows.
The pie - chart is about Country-wise Global Exports Presentation.
By how much does the value of the exports of UK exceed that of Australia (in billion)?
1,500
2,000
1,440
2,550
Correct answer
1,500
If tan A = \(\frac{2}{5}\) find the value of \(\frac{\sec ^2 A}{\operatorname{cosec}^2 A}\).
\(\frac{2}{5}\)
\(\frac{4}{25}\)
\(\frac{9}{25}\)
\(\frac{3}{5}\)
Correct answer
\(\frac{2}{5}\)
What should be the value in place of (?) in \(7\frac{5}{8}\) + \( \frac{5}{8}\) of 184 × 15 ÷ 5 - (?) = 0.
\(-352 \frac{5}{8}\)
\(152 \frac{1}{8}\)
\(-152 \frac{1}{8}\)
\(352 \frac{5}{8}\)
Correct answer
\(-352 \frac{5}{8}\)
In two circles centred at O and O’, the distance between the centres of both circles is 17 cm. The points of contact of a direct common tangent between the circles are P and Q. If the radii of both circles are 7 cm and 15 cm, respectively, then the length of PQ is equal to:
15 cm
17 cm
10 cm
22 cm
Correct answer
15 cm
If A + \(\frac{1}{1+\frac{1}{2+\frac{1}{3}}}=\frac{9}{10}\),then the value of A is:
\(\frac{1}{5}\)
\(\frac{3}{10}\)
\(\frac{2}{5}\)
\(\frac{1}{10}\)
Correct answer
\(\frac{1}{5}\)
If the radius of a sphere is doubled, then its surface area will be increased by:
100%
200%
300%
400%
Correct answer
100%
A vendor bought a book marked at ₹850 at successive discounts of 20% and 10%, respectively. He spent ₹55 on transport and sold the book for ₹980. What will be his profit percentage (rounded off to 2 decimal places)?
45.65%
48.25%
50.65%
46.93%
Correct answer
45.65%
A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.
54
27
14
28
Correct answer
54
Aditya sold article X at a profit of 23% and article Y at a loss of 13%. He earned a profit of ₹180 in the entire transaction. If article X costs ₹90 less than article Y, then what is the price of article Y (in ₹)?
2,100
2,007
2,020
2,050
Correct answer
2,100
Jeevan can do a piece of work alone in 42 days, while Rishi and Jeevan together can do the same piece of work in 27 days. How many days will Rishi take to complete the same piece of work alone?
\(74 \frac{3}{5}\)
\(75 \frac{1}{5}\)
\(75 \frac{4}{5}\)
\(75\frac{3}{5}\)
Correct answer
\(74 \frac{3}{5}\)
If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?
5
6
7
8
Correct answer
5
Following is the figure showing the sales of different items of a stationery shop. Which product recorded the highest percentage change from 2020 to 2021?
Geometry
Notebook
Charts
Pages
Correct answer
Geometry
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.