Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The value of sin215° + sin225° + sin235° + sin245° + sin255° + sin265° + sin275° is:
7
\(\frac{7}{2}\)
4
\(\frac{7}{3}\)
Correct answer
7
Find the value of [16 ÷ 2 - 7 × 15 ÷ 3 + {(1 + 4) × 5} + 4 × 3 - 10].
2
0
4
-2
Correct answer
2
In a circle, the chords AB and CD intersect each other at point L (internally). If AL = 8 cm, LB = 6 cm and LD = 5 cm, then find the CL.
10.6 cm
8.6 cm
7.6 cm
9.6 cm
Correct answer
10.6 cm
The ratio of the slant height and the height of a cone is 4 : 3. If the curved surface area of the cone is \(4 \sqrt{7} \pi\) square units, then the radius of the cone is _________ units.
7
\(7 \sqrt{7}\)
\(\frac{\sqrt{7}}{7}\)
\(\sqrt{7}\)
Correct answer
7
If the length and breadth of a cuboid are increased by 6% and 8%, respectively, then the percentage increase in its volume (correct to two decimal places) is:
11.48%
13.96%
12.96%
14.48%
Correct answer
11.48%
Ramesh spent Rs. 30,000 on Diwali shopping and Rs. 45,000 on buying a TV set, and the remaining 40% of the total amount he had as cash with him. What was the total amount (in Rs.)?
1,35,000
1,10,000
1,25,000
1,22,000
Correct answer
1,35,000
If the radius of a sphere is increased by 20%, then find the percentage increase in its volume.
68.5%
72.8%
70.6%
75.5%
Correct answer
68.5%
Simplify 250 + [100 - {50 - (30 + 15)}].
280
255
360
345
Correct answer
280
Simplify the following expression:
3\(1\over7\) ÷ 1\(4\over7\) + 3 of 2\(2\over3\) + 2.5 × 2.4 ÷ 3\(1\over3\) - 4 of 3
\(-\frac{4}{5}\)
\(-\frac{3}{5}\)
\(-\frac{1}{5}\)
\(-\frac{2}{5}\)
Correct answer
\(-\frac{4}{5}\)
If x2 - 6x - 1 = 0, then find the value of \(x^2+\frac{1}{x^2}-8\).
34
32
28
30
Correct answer
34
Evaluate 6.9 - [8.6 - {6.5 - \((5.4-\overline{4.3-2})\)}].
1.8
1.9
1.6
1.7
Correct answer
1.8
The perimeter of a sector of a circle is 24 cm and the radius is 3 cm. Calculate the area (in cm2) of the sector.
24
33
27
30
Correct answer
24
Study the given pie-chart and answer the question that follows.
The pie-chart shows the National Budget Expenditure in the year 2019.
If Rs. 850 billion were spent in year 2019 for interest on debt and military, then what would have been the total expenditure for that year (in Rs. billion)?
1,700
1,300
1,250
1,450
Correct answer
1,700
Study the given table and answer the question that follows.
The table shows the number of cakes sold by four different bakeries in 4 different months.
| Month | August | September | October | November |
|---|---|---|---|---|
| Bakery | ||||
| P | 250 | 241 | 213 | 168 |
| Q | 175 | 189 | 201 | 122 |
| R | 164 | 145 | 129 | 168 |
| S | 224 | 154 | 184 | 209 |
What is the difference between the total number of cakes sold by bakeries Q and S together in September and the total number of cakes sold by bakeries P and R together in November?
7
9
10
8
Correct answer
7
The table given below shows the number of products sold by 4 shopkeepers A, B, C and D on four different days.
| person | A | B | C | D |
|---|---|---|---|---|
| Days | ||||
| Monday | 1000 | 800 | - | 750 |
| Tuesday | 500 | - | 900 | 650 |
| Wednesday | 800 | 1000 | 700 | - |
| Thursday | - | 1200 | 800 | 900 |
If the total products sold by A and B, including all four days, is 3000 and 3500 , respectively, the products sold by B on Tuesday is how many more or less than the products sold by A on Thursday?
300 more
200 less
200 more
300 less
Correct answer
300 more
If an amount of Rs. 80 becomes Rs. 96 in 2 years in a bank account which gives simple annual interest, then an amount of Rs. 62,000 will become ________ in the same account after 5 years.
Rs. 88,200
Rs. 84,600
Rs. 82,400
Rs. 93,000
Correct answer
Rs. 88,200
Find the greatest number which when divides 261, 853 and 1221, leaves a remainder of 5 in each case.
19
18
17
16
Correct answer
19
Study the given pie-chart and answer the question that follows.
The pie-chart shows the percentage of 3600 students enrolled in different hobby classes in a school.
The number of students enrolled in Painting classes is approximately what percentage of those enrolled in Singing classes
108%
83%
98%
78%
Correct answer
108%
The cost of painting the total surface area of a 30 m high solid right circular cylinder at the rate of Rs. 25 per m2 is Rs. 18,425. What is the volume (in m3) of this cylinder [use π = \(\frac{22}{7}\)]?
1145
1210
1155
1122
Correct answer
1145
A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. (Use π = \(\frac{22}{7}\).)
32 cm
35 cm
28 cm
36 cm
Correct answer
32 cm
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.