Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?
70 feet
20 feet
50 feet
30 feet
Correct answer
70 feet
What will be average of all the odd numbers between 8 and 32?
21
18
20
19
Correct answer
21
If P = \(5\over6\)Q and Q = \(4\over5\)R, What is 2P : 3Q : 4R?
5 : 9 : 15
9 : 5 : 6
8 : 9 : 16
6 : 8 : 15
Correct answer
5 : 9 : 15
A boat can travel 21 km in 3 hours going upstream. It can travel 55 km in 5 hours going downstream. What is the speed of the stream?
2.5 km/h
3.5 km/h
3 km/h
2 km/h
Correct answer
2.5 km/h
Two numbers are in the ratio 3 : 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 : 7. Find the smaller of the two original numbers.
2
18
4
36
Correct answer
2
A, B and C together can complete a work in 10 days. A and B together can do the same work in 12 days. If A, B and C received ₹9,000 for doing the work together, then what was the share of C from the above amount?
₹3,000
₹3,750
₹1,500
₹2,250
Correct answer
₹3,000
What is the value of \({75\over28}×{7\over12}+[{5\over 12}+{{{5\over7}+({8\over12}\ of\ {36\over 24}-{1\over2}})}]\)?
\(1811\over335\)
\(1085\over339\)
\(1073\over336\)
\(1561\over337\)
Correct answer
\(1811\over335\)
What is the value of a in the following equation?
34 + 16 − a × [40 ÷ 5 − 3] = 15
5
7
9
6
Correct answer
5
A man completes his journey in 6 hours. He covers half the distance at 10 km/h and the rest at 20 km/h. The length of the journey is:
30 km
10 km
80 km
20 km
Correct answer
30 km
The radius of the base and the height of a closed cylinder are 14 cm and 14 cm, respectively. The total surface area of the cylinder is equal to the area of a circle. What will be the diameter of the circle? [Use π = \(22\over7\)]
56 cm
28 cm
14 cm
35 cm
Correct answer
56 cm
A sum of ₹7,000 deposited at compound interest becomes triple of itself after 4 years. How much will the amount be after 12 years?
₹49,000
₹63,000
₹1,89,000
₹84,000
Correct answer
₹49,000
A shopkeeper marks up his price by 12% and then allows a 12% discount. What is his profit or loss percentage?
1.44% loss
1.2% profit
6% profit
4% loss
Correct answer
1.44% loss
The average of nine consecutive even numbers is 24. What is the average of the smallest three of these 9 given numbers?
21
20
18
19
Correct answer
21
The following bar graph shows the number of pages read by five friends when they went to a library.
In percentage terms, how many more pages did Rishi read than Neha?
10%
15%
5%
20%
Correct answer
10%
A sum of money amounts to 5 times of itself in 20 years, when invested at a certain rate of simple interest per annum. What is the rate of simple interest per annum that is on offer?
25%
12.5%
20%
15%
Correct answer
25%
The total salary of two employees, A and B, in an organisation was ₹40,000. After increasing the salary of A by 9% and of B by 11%, the total salary of A and B becomes ₹44,100. What was the initial salary of A?
₹15,000
₹22,500
₹25,000
₹18,000
Correct answer
₹15,000
The following bar graph shows the number of students in five different sections of Class 10.
What is the positive difference between the numbers of students in Section C and in Section D?
16
15
14
17
Correct answer
16
What should come in place of the question mark (?) in the following question?
2 × 324 × ? = 92 × 222 × 6
359
364
363
366
Correct answer
359
Find the volume of a sphere having a diameter of 6 mm, in terms of π.
12π mm3
24π mm3
64π mm3
36π mm3
Correct answer
12π mm3
5 men can complete a work in 12 days, and 6 women can complete the same work in 20 days. In how many days can 1 man and 1 woman together complete this work?
120 days
32 days
40 days
60 days
Correct answer
120 days
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.