Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The following table shows the population (in hundreds) of five different cities (A, B, C, D and E) categorised by gender.
| City | Population | Men : Women |
|---|---|---|
| A | 2340 | 1 : 2 |
| B | 900 | 3 : 1 |
| C | 1510 | 3 : 2 |
| D | 2010 | 2 : 3 |
| E | 1750 | 4 : 3 |
What is the total number of women (in hundreds) in City A and City B?
1998
1898
1658
1785
Correct answer
1998
If the three sides of a triangle are 12, 22 and m units, then which of the following is correct?
10 ≤ m < 34
10 ≤ m ≤ 34
10 < m < 34
10 < m ≤ 34
Correct answer
10 ≤ m < 34
Simplify the given expression. [{9 × 81 + (142 ÷ 2)} + 350 - 155 + 5] ÷ [(25 × 25 - 125]
1
-1
-2
2
Correct answer
1
Find the simplified value of 5055 - (1002 ÷ 20.04).
50.05
4050
5050
5005
Correct answer
50.05
If the radius of a sphere is increased by 125%, then by what percentage will its surface area increase (correct to two decimal places)?
509.54%
409.76%
406.25%
506.25%
Correct answer
509.54%
A train covers a distance of 850 metres in 45 seconds. Travelling at the same speed, how many kilometres will the train cover in an hour?
69
67.2
67.5
68
Correct answer
69
Study the given table and answer the question that follows.
The table below shows the number of people who responded to a survey about their favorite style of music.
| Age | 25-30 | 31-50 | 51+ |
|---|---|---|---|
| Classical | 2 | 9 | 16 |
| Pop | 10 | 16 | 8 |
| Hip-Hop | 4 | 7 | 6 |
| Rock | 14 | 17 | 14 |
| Ambient | 7 | 13 | 20 |
| Total | 37 | 62 | 64 |
What percentage of respondents aged 31-50 indicated a favorite style other than Pop music (rounded off to 2 decimal places)?
82.39%
76.25%
74.19%
78.20%
Correct answer
82.39%
Shiya invests ₹1,53,000, which is 30% of her annual income, in mutual funds. What is her monthly income (in ₹)?
45,800
42,500
55,600
52,300
Correct answer
45,800
If 4 sin2θ = 3 (1 + cos θ), 0° < θ < 90°, then what is the value of \(\rm \sqrt{15}\tan \theta+\frac{4}{\sqrt{15}}\sin \theta+2\sec \theta\)?
8
24
\(4\sqrt{15}\)
\(\frac{8}{\sqrt{15}}\)
Correct answer
8
A certain sum of money is given at a certain rate of simple interest for 4 years. Had it been given at 11% higher rate for the same time, it would have fetched ₹1320 more. Find the sum (in ₹).
4580
3000
2500
3240
Correct answer
4580
In an election between A and B, every fifth vote polled was marked as invalid by the machine. In the remaining votes, A wins the election with a margin of 2500 votes or 10% of the total votes polled, over B. If 90% of the invalid votes would have been in favour of B, then which of the following would have been the result of the election?
A would have won by 3%
A would have won by 8%
B would have won by 8%
B would have won by 3%
Correct answer
A would have won by 3%
Simplify (4 + 4) × (4 ÷ 4) × (4 × 4).
124
130
144
128
Correct answer
124
If (a - 18)2 + (b - 12)2 + (c - 6)2 = 0, then find the value of (a + b + c)1/2.
±3
±2
±4
±6
Correct answer
±3
If sin x + cos x = √2 sin x, then the value of sin x - cos x is:
√2 sin x
2 sin x
-√2 cos x
√2 cos x
Correct answer
√2 sin x
If the sides of a triangle are 7, 12 and x, and x is an integer, then find the number of possible values of x.
13
14
12
15
Correct answer
13
A cylinder has a radius of 7 cm and the area of its curved surface is 396 cm2 . The volume of the cylinder is:
1381 cm3
1391 cm3
1386 cm3
1396 cm3
Correct answer
1381 cm3
Simplify
\(\left[3\frac{2}{5}\times\left{2\frac{3}{4}+3.3\left(5\frac{1}{3}+3\frac{1}{3}-2\frac{1}{3}\right)\right}\right]\)
46.29
80.41
70.25
53.25
Correct answer
46.29
Study the given table and answer the question that follows.
The table shows the number of eggs produced in five farms.
| Year | Farm | ||||
|---|---|---|---|---|---|
| P | Q | R | S | T | |
| 2010 | 1020 | 1418 | 1630 | 1740 | 1580 |
| 2011 | 1260 | 1390 | 1460 | 1530 | 1620 |
| 2012 | 1120 | 1765 | 1480 | 1515 | 1640 |
| 2013 | 1465 | 1555 | 1746 | 1418 | 1545 |
What is the respective ratio of the dozens of eggs produced by farm P to farm T in Chosen Option the year 2011?
7 : 5
5 : 7
9 : 7
7 : 9
Correct answer
7 : 5
(1 - cos2A) sec2A is equal to:
cosec2A
tan2A
cos2A cot2A
cot2A
Correct answer
cosec2A
The population of a city increases every year at the rate of 5%. If the population of the city is 16000, what will be the population after 2 years?
17700
17600
17000
17640
Correct answer
17700
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.