Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
An item with a marked price of ₹z was sold for ₹6,622, after a discount of 12% was offered. What was the value of z?
₹7,425
₹7,500
₹7,525
₹7,575
Correct answer
₹7,425
The mean proportional between 0.03 and 0.0003 is:
0.0003
0.0013
0.003
0.033
Correct answer
0.0003
The salary of Arpit fell by 5% after 1 year and further fell by 8% after the second year due to bad performance. Initially, his salary was ₹80,000. What is his current salary (in ₹)?
69620
69920
70920
65720
Correct answer
69620
Mihir buys a book for ₹625. However, because of certain urgency, he sells it for ₹550. Find his loss percentage.
12%
14%
10%
15%
Correct answer
12%
The total surface area of a solid hemisphere is 4158 cm2. Find its volume (in cm3 ).
462
9702
1848
19404
Correct answer
462
A cylinder has some water in it at a height of 16 cm. If a sphere of radius 9 cm is put into it, then find the rise in the height of the water if the radius of the cylinder is 12 cm.
8 cm
6 cm
8.75 cm
6.75 cm
Correct answer
8 cm
Find the HCF of 78, 84, 90 and 112.
1
2
5
7
Correct answer
1
Study the given bar graph carefully to answer the question that follows. Marks obtained by four students in Mid-I and Mid-II.
Marks obtain by Hemanth in Mid-I are what percentage of the total marks obtained by all the students in Mid-I?
30%
15%
20%
25%
Correct answer
30%
Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder?
333
111
259
37
Correct answer
333
What annual instalment (in ₹) will discharge a debt of ₹9,429 due in three years at 12.25% simple interest per annum?
[
Note:
Instalments will be paid at the end of Year 1, Year 2 and Year 3.]
2,840
2800
2700
2760
Correct answer
2,840
Study the given table and answer the question that follows.
The table shows the number of students studying in 6 different classes of 6 different schools.
| Schools | V | VI | VII | VIII | IX | X |
|---|---|---|---|---|---|---|
| P | 152 | 160 | 145 | 156 | 147 | 144 |
| Q | 148 | 166 | 150 | 155 | 157 | 143 |
| R | 161 | 152 | 140 | 145 | 143 | 165 |
| S | 159 | 142 | 149 | 140 | 142 | 168 |
| T | 147 | 144 | 158 | 163 | 154 | 150 |
| U | 150 | 160 | 162 | 160 | 160 | 140 |
| Total | 917 | 924 | 904 | 919 | 903 | 910 |
Which class has the minimum number of students from all schools together?
VIII
IX
VII
X
Correct answer
VIII
If sin \(β=\frac{1}{3}\), (sec β - tan β)2 is equal to :
\(\frac{3}{4}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
Correct answer
\(\frac{3}{4}\)
A boy goes from home to school at a speed of 30 km/h and returns back at a speed of 70 km/h. What is his average speed for the journey?
42 km/h
48 km/h
38 km/h
36 km/h
Correct answer
42 km/h
A right square pyramid having lateral surface area is 624 cm2. If the length of the diagonal of the square is 24 \(\sqrt{2}\) then the volume of the pyramid is:
1150 cm3
780 cm3
1083 cm3
960 cm3
Correct answer
1150 cm3
Mahesh agreed to sell rice with 24% loss, as the rice got rotten. However, he cheated customers and gave only 19 gm of rice in place of 50 gm of rice. What is the percentage of his profit or loss?
100% loss
\(\frac{100}{3}\)% loss
\(\frac{100}{3}\)% profit
100% profit
Correct answer
100% loss
A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the evening, and they interchange their shifts every day. On which day did the work get completed?
21st day
24th day
30th day
27th day
Correct answer
21st day
What is the HCF of (x6 + 1) and (x4 - 1) ?
1
(1 + x)
(1 - x2)
(1 + x2)
Correct answer
1
Find the LCM of 73 and 657.
73
657
146
365
Correct answer
73
Rupu’s income is 20% more than Madhu’s income. Madhu’s income is less than Rupu’s income by:
\(17 \frac{2}{3}\)%
20%
\(18 \frac{2}{3}\)%
\(16 \frac{2}{3}\)%
Correct answer
\(17 \frac{2}{3}\)%
Study the given graph and answer the question that follows. The following graph shows the distribution of the cost percentage of different items.
If a person purchased all the items for ₹3,00,000, then the cost of a TV is less than that of a laptop by:
₹40,000
₹55,000
₹50,000
₹45,000
Correct answer
₹40,000
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.