Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A person marks the price of his car 50% above the cost price. He gives a discount of B% and earns a profit of 10%. What is the approximate value of B?
26.67
29.67
21.33
24.33
Correct answer
26.67
The difference between the average of P and Q and the average of Q and R is 25. What will be the difference between P and R?
12.5
50
40
25
Correct answer
12.5
Robert bought an old bicycle for ₹1,250 and spent ₹250 on its repair. He sold it for ₹1,470. What is his loss percentage?
4%
1%
3%
2%
Correct answer
4%
What is the simple interest on a principal of ₹16,000 for 3 years at the rate of 10% per annum?
₹6,400
₹4,800
₹5,600
₹5,200
Correct answer
₹6,400
What is the compound interest on ₹80,000 for 1 year at 10 percent per annum, compounded half-yearly?
₹7,200
₹8,200
₹8,800
₹7,000
Correct answer
₹7,200
In a job, L1, L2, and L3 work for 3, 4 and 6 days, respectively. The ratio of the daily wages of L1, L2 and L3 is 2 ∶ 3 ∶ 1, respectively. If they receive ₹2,400 as the total wages, then what is the share of L1 ?
₹800
₹1,600
₹600
₹1,200
Correct answer
₹800
Simplify the following expression.
20 + 3 - 2 + (4 - 1)
-120
24
120
21
Correct answer
-120
The ratio of the speed of a bus to that of a train is 15 ∶ 27. Also, a car covers a distance of 720 km in 9 hours. The speed of the bus is three-fourths of the speed of the car. How much distance will the train cover in 7 hours?
760 km
756 km
784 km
770 km
Correct answer
760 km
Study the given table and answer the question that follows.
The table shows the marks scored by five students in a surprise test.
| Name of student | Marks scored in surprise test |
|---|---|
| Himanshu | 7 |
| Ayushi | 4 |
| Yograj | 2 |
| Shabbir | 5 |
| Mili | 10 |
If a student has to score 5Â or more marks to pass the surprise test, then how many friends were NOT able to pass?
4
2
1
3
Correct answer
4
The average of 47 consecutive natural numbers is 99. What is the largest number among these numbers?
122
123
121
124
Correct answer
122
The following pie chart shows the respective shares of the ingredients needed to bake a cake.
If the cake weighs 2 kg, then how much baking soda was needed to bake the cake?
900 g
450 g
100 g
200 g
Correct answer
900 g
The value of \(26.4 × 12.5 + \sqrt{ 22^2 + 20+ 11^2} -31\) is:
384
284
18
324
Correct answer
384
What will be the approximate average of all the prime numbers less than 15?
6.33
5.67
6.83
7.33
Correct answer
6.33
Study the given bar-graph and answer the question that follows:
The bar-graph shows the number of students from a college who got placed in six companies in 2020.Â
If 60 students from the college did not get a job in any of these six companies, then what percentage of the students from this college were placed in H in 2020?
20%
12.5%
22%
15%
Correct answer
20%
A sum of ₹15,250 is divided among Shrinza, Sheetal and Chirag such that Shrinza receives 40% more than Sheetal and Sheetal receives 40% less than Chirag. What is Chirag's share?
₹6,000
₹6,250
₹7,250
₹5,250
Correct answer
₹6,000
The ratio between the volumes of Sphere 1 and Sphere 2 is 27 ∶ 64. Find the ratio of the surface areas of Sphere 1 and Sphere 2.
9 ∶ 16
16 ∶ 9
3 ∶ 4
1 ∶ 3
Correct answer
9 ∶ 16
The product of the LCM and the HCF of two numbers is 216. The difference between the two numbers is 6. What are the numbers?
9, 24
6, 36
12, 18
8, 27
Correct answer
9, 24
X and Y are two alloys of copper and aluminium prepared by mixing the metals in the ratio 6 ∶ 5 and 5 ∶ 9, respectively. If equal quantities of the alloys are melted to form a third alloy Z, what ratio of copper and aluminium will be in Z?
154 ∶ 163
165 ∶ 139
139 ∶ 154
139 ∶ 169
Correct answer
154 ∶ 163
The height of a right circular cone is 24 cm. If the radius of its base is 7 cm, then what will be the curved surface area of this cone? [Use π = \(\frac {22}{7}\)]
550 cm2
630 cm2
610 cm2
590 cm2
Correct answer
550 cm2
The ratio of the speeds of two scooters is 9 ∶ 5. If the second scooter runs 75 km in 6 hours, then what is the speed (in km/h) of the first scooter?
12.5
22.5
11.5
10.5
Correct answer
12.5
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.