Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Rajan and Rajat can do a work in 64 days and 48 days, respectively. Starting with Rajat, they work on alternate days. In how many days will the work be completed?
55
\(54 \frac{3}{4}\)
54
\(55\frac{3}{4}\)
Correct answer
55
If \(x+\frac{1}{1+\frac{1}{3+\frac{1}{2}}}=1\), then the value of x is equal to:
\(\frac{2}{9}\)
\(\frac{1}{7}\)
\(\frac{7}{9}\)
\(\frac{3}{7}\)
Correct answer
\(\frac{2}{9}\)
If the simple interest on a certain sum of money for 20 months at the rate of 19.2% per annum exceeds the simple interest on the same sum for 15 months at the rate of 11.2% p.a. by Rs. 2,920, then what is the sum (in Rs., to the nearest hundreds)?
16,620
12,660
16,660
16,200
Correct answer
16,620
Find the surface area (in m2) of a cuboid that is 11 m long, 7 m broad and 4 m high.
249
289
298
320
Correct answer
249
The value of \(\frac{7+8 \times 8 \div 8 \text { of } 8+8 \div 8 \times 5}{4 \div 4 \text { of } 4+4 \times 4 \div 4-4 \div 4}\) is::
4
3
2
1
Correct answer
4
Study the given pie-graph and answer the question that follows.
In a certain company, allocations to various sectors of the yearly budget per Rs. 7,200 crores are represented by this pie-diagram.
The expenditure (in Rs.) on Infrastructure is:
Rs. 6,098 crores
Rs. 1,649 crores
Rs. 6,089 crores
Rs. 1,694 crores
Correct answer
Rs. 6,098 crores
The in-radius of a triangle is 8 cm, and the sum of the lengths of its sides is 125 cm. The area of the triangle (in cm2) is
480
250
500
1000
Correct answer
480
The secant CD intersects the circle at E and CF is tangent to the circle at F. If the length of the secant CD is equal to 20 cm and the length of tangent CF is 15 cm, find the length of the chord DE.
8.75 cm
11.25 cm
9.25 cm
3.75 cm
Correct answer
8.75 cm
The following table shows the Gross Turnover (in Crores) of a company over five years:
| Year | Gross Turnover |
|---|---|
| 2015 | 13 |
| 2016 | 20 |
| 2017 | 15 |
| 2018 | 23 |
| 2019 | 25 |
The Gross Turnover for 2017 is what per cent of the Gross Turnover for 2019 ?
16
60
6
0.06
Correct answer
16
Taking any three of the line segments out of segments of length 2 cm, 5 cm, 7 cm and 8 cm, the number of triangles that can be formed is:
1
3
4
2
Correct answer
1
A man rows 48 km and back in 48 hours. He can row 4 km with the stream in the same time as 3 km against the stream. The speed of the stream (in km/h) is:
\(\frac7{21}\)
\(\frac3{29}\)
\(\frac5{21}\)
\(\frac7{24}\)
Correct answer
\(\frac7{21}\)
The value of \(\frac{1}{2^2}+\frac{1}{2^3} \div\left(\frac{1}{2}+\frac{1}{2} \div 1\right) \) + \(3 \frac{1}{3} \div \frac{5}{2} \times \frac{3}{4} \div 6 \frac{2}{3} \times \frac{7}{6}\) is:
\(\frac{7}{40}\)
\(\frac{21}{20}\)
\(\frac{11}{20}\)
\(\frac{11}{30}\)
Correct answer
\(\frac{7}{40}\)
Sapna is double efficient as compared to Rakesh. If they both work together on a project and complete it in 48 days, then the number of days in which Sapna alone can complete the project is:
68
72
52
\(69\frac{1}{2}\)
Correct answer
68
The total percentage change in the volume of a cuboid if its length and breadth are decreased by 15% and 25%, respectively, while its height is increased by 60% is:
5% decrease
2% decrease
2% increase
5% increase
Correct answer
5% decrease
If x2 + 4y2 + 2x + 1 = 0, then find the value of x39 + y36.
1
-1
2
-2
Correct answer
1
Melting a metal ball of radius 3 units, 26 identical dice and a ball of radius 1 units are made. What is the side of the dice?
1.7 units
1.5 units
1.4 units
1.6 units
Correct answer
1.7 units
The following table shows the shares traded on Mumbai, Rajasthan, Uttar Pradesh and Uttarakhand stock exchanges:
| Mumbai | Uttarakhand | Rajasthan | Uttar Pradesh | |||||
|---|---|---|---|---|---|---|---|---|
| Name of the company | High | Low | High | Low | High | Low | High | Low |
| Aata tea | 540 | 395 | 450 | 4255 | 320 | 510 | 440 | 310 |
| Kolgate | 34 | 57 | 60 | 42 | 25 | 60 | 20 | 70 |
| Ambuja cement | 150 | 155 | 120 | 125 | 160 | 135 | 145 | 170 |
For Ambuja cement, the ratio of the high rate of share to the low rate is maximum in the stock exchange at:
Rajasthan
Mumbai
Uttar Pradesh
Uttarakhand
Correct answer
Rajasthan
Study the given table and answer the question that follows.
The table shows the production of five different types of cars by a company from 1989 to 1994.
| Year → Type ↓ | 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 |
Which type of car constituted 25% of the total production of all types of cars in 1993 ?
R
Q
P
S
Correct answer
R
Find the volume (in cm3) of a hemisphere of radius 18 cm. (Use \(\pi=\frac{22}{7}\)) (Rounded off to two decimal places)
12200.43
12219.43
18750.23
11250.25
Correct answer
12200.43
The following table gives the number of males, females, educated males and educated females in a village over the years 2016 - 2020. Study the table carefully and answer the question.
| Year/No. | 2016 | 2017 | 2018 | 2019 | 2020 |
|---|---|---|---|---|---|
| Males | 1050 | 1200 | 1250 | 1300 | 1400 |
| Females | 900 | 1000 | 1020 | 1100 | 1200 |
| Educated males | 850 | 1000 | 1100 | 1150 | 1200 |
| Educated females | 600 | 820 | 950 | 980 | 1000 |
Find the percentage of the total number of educated females to the total number of females over all the years (up to 2 decimal places).
0.9233
0.8623
0.8333
0.8923
Correct answer
0.9233
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.