Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A vendor mixed two varieties of rice costing Rs. 60 per kg and Rs. 45 per kg in the ratio 3 ∶ 7. If he sells the mixed variety at Rs. 65 per kg, then what is his gain percentage? [Give your answer correct to two decimal places.
31.31%
15.5%
49.5%
5.5%
Correct answer
31.31%
If a person goes from home to his college at a speed of 12 km/h, he reaches 7 minutes early. If he goes at a speed of 8 km/h, he reaches 14 minutes late. What is the distance between his home and his college?
9.2 km
9.6 km
8.4 km
7.6 km
Correct answer
9.2 km
If the total simple interest received on a sum for 25 years is \(\frac{5}{8}\) of the principal, what is the rate of simple interest paid per annum?
2.5%
2%
3.5%
3%
Correct answer
2.5%
The average of X, Y and Z is 52. The average of X and Y is 48. The average of Y and Z is 60. What is the value of Y?
56
48
60
54
Correct answer
56
A man divides Rs. 1,100 among three kids in the ratio \(\frac{1}{2}:\frac{2}{5}:\frac{3}{4}\). What is the share of the kid who got the maximum share?
Rs. 500
Rs. 600
Rs. 750
Rs. 800
Correct answer
Rs. 500
35 girls can complete a piece of work in 12 days. If 5 fewer girls are put on the work, in how many days can they complete the work?
12
15
13
14
Correct answer
12
Select the number that will come in place of the question mark (?) in the following mathematical statement.
\(\frac{12}{15} \) of 40% of 1800 = ? × 480
1.2
0.9
1.05
0.8
Correct answer
1.2
The selling price of a pen is Rs. 660. If the profit is 20%, then what is the nominal profit earned on the sale of the pen?
Rs. 110
Rs. 130
Rs. 140
Rs. 90
Correct answer
Rs. 110
The marked price of a bottle is Rs. 2,600. Two successive discounts of 10% and 30% are given. What is the selling price?
Rs. 1,768
Rs. 1,458
Rs. 1,518
Rs. 1,638
Correct answer
Rs. 1,768
Rs. 15,000 is lent for one year at the rate of 20% per annum, the interest being compounded annually. If the compounding of the interest is done half-yearly, then how much more interest will be obtained at the end of the one-year period on the same initial sum?
Rs. 250
Rs. 200
Rs. 150
Rs. 180
Correct answer
Rs. 250
The lengths of the parallel sides of a trapezium are 10 cm and 20 cm. If the distance between these parallel lines is 5 cm, then what is the area of the trapezium?
50 cm2
60 cm2
45 cm2
75 cm2
Correct answer
50 cm2
What is the largest two-digit number that is divisible by both 7 and 3?
91
96
63
84
Correct answer
91
Study the given graph and answer the question that follows.
The graph shows the average height (in cm) of the boys and the girls of five classes in a school.
If the numbers of girls and the numbers of boys in Class C are equal, then what is the combined average height of all the students of Class C, taken together?
150 cm
140 cm
135 cm
145 cm
Correct answer
150 cm
If 24 X + 24 Y = 192, then what is the average of X and Y?
2
6
4
8
Correct answer
2
The following bar graph shows the number of votes for favourite pizza toppings.
Of all the votes, what is the percentage of the votes for pepperoni?
0.325%
325%
3.25%
32.5%
Correct answer
0.325%
The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 84 cm, then what will be the length of each side of the equilateral triangle? [Use π = \(\frac{22}{7}\)]
192 cm
176 cm
172 cm
184 cm
Correct answer
192 cm
It the salary of A is 12% more than that of B, then by what percentage is the salary of B less than that of A? [Give your answer correct to 1 place of decimal.]
13.7%
12.7%
11.7%
10.7%
Correct answer
13.7%
To make a certain journey, a distance of 10 km is travelled on foot in 3 hours, a distance of 120 km is travelled by car in 3 hours, and a distance of 70 km is travelled by scooter in 4 hours. What is the average speed of the total journey?
50 km/h
35 km/h
45 km/h
20 km/h
Correct answer
50 km/h
What is the LCM of the fractions (2/3), (8/15) and (4/27)?
8/3
12/5
3/8
24/7
Correct answer
8/3
What is the value of [1000 + 300 - {500 ÷ 5 + 100} × 4]?
400
800
500
1300
Correct answer
400
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.