Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Which of the following statements is true?
All rational numbers are real.
All real numbers are irrational.
All integers are irrational.
No whole numbers are rational.
Correct answer
All rational numbers are real.
The relationship between integers and whole numbers can be expressed as:
All whole numbers are integers
All integers are whole numbers
Whole numbers and integers are the same sets
Whole numbers and integers have no elements in common
Correct answer
All whole numbers are integers
Which fraction is equivalent to 0.245?
245/10
23/45
49/200
50/200
Correct answer
245/10
A baker has 12\(1\over2\) kg of flour. She uses 3.75 kg for cakes and 4\(2\over3\) kg for bread. How much flour is left?
4.08 kg
4.5 kg
3.75 kg
4.25 kg
Correct answer
4.08 kg
Which of the following numbers is a perfect square?
1057
23453
7928
2500
Correct answer
1057
What is the mean proportional between 4 and 16?
8
10
12
6
Correct answer
8
Find the average of 4, 8, 12, 16.
8
10
12
14
Correct answer
8
The average marks of boys in a class is 70, and for girls, it's 75. If there are 20 girls and 30 boys, what is the average marks of the whole class?
56
89
27
72
Correct answer
56
If 25% of a number is 45, what is 75% of the same number?
178
135
368
980
Correct answer
178
If A's salary is 25% more than B's, then B's salary is what percent less than A's?
20%
22%
24%
25%
Correct answer
20%
The cost of a flower vase is ₹160. If the shopkeeper sells it at a loss of 15%, at what price is it sold?
₹130
₹132
₹136
₹140
Correct answer
₹130
A product is marked at ₹500 with a 20% discount. What is the selling price?
₹380
₹400
₹420
₹450
Correct answer
₹380
A product priced at ₹800 is sold for ₹680. What is the percentage of discount offered?
15%
18%
20%
12%
Correct answer
15%
Trader marks an item 50% above cost price and offers a 20% discount on the marked price. If the customer pays ₹720, what is the cost price of the item?
₹480
₹500
₹600
₹640
Correct answer
₹480
A and B together can do a work in 6 days. B and C together can do it in 8 days. A and C together can do it in 12 days. In how many days can A alone do the work?
10 days
12 days
16 days
24 days
Correct answer
10 days
A and B can do a piece of work in 20 days. After 12 days, A leaves and B completes the remaining work in 10 days. A alone can complete the work in how many days?
30 days
100 days
50 days
24 days
Correct answer
30 days
A person walks at 5 km/h for 2 hours and then jogs at 8 km/h for 1 hour. What is the average speed?
6 km/h
6.5 km/h
5.6 km/h
7 km/h
Correct answer
6 km/h
Two cars start simultaneously from points A and B, 120 km apart, and meet after 2 hours. If the speed of one car is 50 km/h, what is the speed of the other?
10 km/h
55 km/h
50 km/h
45 km/h
Correct answer
10 km/h
At what rate will a sum of ₹1,500 earn ₹360 as simple interest in 3 years?
8%
10%
12%
6%
Correct answer
8%
In a triangle, one angle is 90° and another is 45°. What is the third angle?
30°
60°
45°
50°
Correct answer
30°
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.