Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A rectangular sheet of metal is 60 cm by 25 cm. Equal squares of side 5 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. Find the volume of the box.
3750 cm3
5750 cm3
4750 cm3
2750 cm3
Correct answer
3750 cm3
The value of 9 × 9 + 9 ÷ 9 – 9 × 9 + 9 + 9 × 9 – 9 – 9 × 9 is:
9
81
1
0
Correct answer
9
The savings and expenditure of a family in a month on different heads is shown in the given pie chart. The family saves Rs. 8,000 per month.
Find the total monthly expenditure (in Rs.) of the family.
30000
40000
35000
25000
Correct answer
30000
Simplify 22 × 10 ÷ 5 × 2 + 12.
101
103
100
102
Correct answer
101
Study the given table and answer the question that follows. The table shows the production of five types of cars P, Q, R, S and T by a company from the year 1989 to 1994.
| Type of Car | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | Total |
|---|---|---|---|---|---|---|---|
| P | 8 | 20 | 16 | 17 | 21 | 6 | 88 |
| Q | 16 | 10 | 14 | 12 | 12 | 14 | 78 |
| R | 21 | 17 | 16 | 15 | 13 | 8 | 90 |
| S | 4 | 6 | 10 | 16 | 20 | 31 | 87 |
| T | 25 | 18 | 19 | 30 | 14 | 27 | 133 |
| Total | 74 | 71 | 75 | 90 | 80 | 86 | 476 |
In which year was the total production of cars of types P and Q together equal to the total production of cars of types R and S together?
1992
1991
1993
1989
Correct answer
1992
The ratio of marks of A and B is 3 : 4 and the ratio of marks of B and C is 4 : 5. If the difference in the marks of C and A is 30, then how much marks does B get?
52
60
56
64
Correct answer
52
If the radius of a sphere is increased by 40%, then find the percentage increase in its surface area.
85%
88%
96%
92%
Correct answer
85%
Simplify [{38 - ( - 6)} × {9 - (8 - 1)}] ÷ [4 × {6 + ( - 4)}].
14
18
11
22
Correct answer
14
18 workers can complete a piece of work in 96 days. They start working together and after 26 days 10 more workers join them. In how many days in all will the work be completed?
72
69
71
70
Correct answer
72
If 40% of A = 60% of B= 1/6 of C, then find the ratio of A ∶ B ∶ C.
15 ∶ 10 ∶ 36
36 ∶ 10 ∶ 15
15 ∶ 10 ∶ 18
10 ∶ 15 ∶ 36
Correct answer
15 ∶ 10 ∶ 36
The value of \(\rm 1-\frac{1}{1+\frac{1}{2-\frac{1}{2+\frac{1}{2}}}}\) is:
\(\frac{5}{13}\)
\(\frac{3}{11}\)
\(\frac{7}{15}\)
\(\frac{3}{16}\)
Correct answer
\(\frac{5}{13}\)
Simplify [25 - ( - 4){9 - (6 - 2)}] ÷ [3 × {6 + ( - 3) × ( - 3)}].
1
6
4
2
Correct answer
1
A sum of ₹17,600 was divided between Jeevan, Praveen and Kanan, such that the ratio of the sums received by Jeevan and Praveen was 5 : 8, while the ratio of the sums received by Praveen and Kanan was 3 : 2. How much money did Jeevan receive as his share?
₹4,850
₹4,750
₹4,800
₹4,900
Correct answer
₹4,850
Bhavani spends 68% of her income. Her income increases by 15% and her expenditure increases by 10%. How much is the increase in the percentage of saving? (Use decimal up to 2 digits)
24.80%
20.57%
28.42%
25.62%
Correct answer
24.80%
The following table gives the information of number of students from various schools playing various games: (one student play one game only)
| Game/school | A | B | C | D | E |
|---|---|---|---|---|---|
| Cricket | 100 | 150 | 200 | 300 | 200 |
| Tennis | 200 | 220 | 210 | 210 | 230 |
| Football | 150 | 170 | 130 | 150 | 150 |
| Basket ball | 180 | 170 | 150 | 130 | 120 |
| Badminton | 100 | 150 | 120 | 130 | 150 |
The difference between the total number of students playing cricket from all the schools and the total number of students playing Tennis from all the schools is:
120
80
100
150
Correct answer
120
The given pie chart shows the budget estimated by a family for their monthly expenses. Monthly expenses = Rs. 58,000.
Find the difference between the amount budget amount for grocery and electricity to the amount spent on grocery and electricity, if the family actually spent Rs. 18,875 on both grocery and electricity.
₹4,573
₹4,375
₹3,745
₹3,547
Correct answer
₹4,573
Simplify the following expression:
\(\rm \frac{3.2\times 3.2-0.2\times 0.2}{0.2\times 0.2-2\times 0.2\times 3.2+3.2\times 3.2}\)
\(\frac{13}{15}\)
\(\frac{19}{15}\)
\(\frac{17}{15}\)
\(\frac{11}{15}\)
Correct answer
\(\frac{13}{15}\)
Solve the equation for A (in degrees):
2 cos2 A + 3 cos A - 2 = 0, 0 < A < 90°
45°
60°
80°
30°
Correct answer
45°
Ravi and Sanju together can do a job in 2 days, Sanju and Mahesh can do it in 4 days, while Ravi and Mahesh can do it in 2 days. What is the number of days required for Ravi to do the same job alone?
4 days
\(\frac{8}{3}\) days
\(\frac{5}{3}\) days
9 days
Correct answer
4 days
Find the value of [{(82 + 48 ÷ 8 × 3) + 5 × 6 } – 7.5 × 2].
115
125
121
130
Correct answer
115
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.