Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Some articles were bought at the rate of Rs 8 per 5 articles, and sold at the rate of Rs 9 per 4 articles. Profit percent is:
10/9
13/20
325/8
7/20
Correct answer
10/9
A is thrice as efficient as B. Together they can complete a work in 12 days. In how many days can B alone complete the work?
48 days
36 days
30 days
40 days
Correct answer
48 days
A sum of ₹ 12,000 is invested at a simple interest rate of 8% per annum. After how many years will the interest amount be ₹ 3,840?
4 years
3 years
5 years
6 years
Correct answer
4 years
A recipe uses flour and sugar in the ratio 6:3. If you have 900 grams of flour, how much sugar do you need to keep the same ratio?
150
400
200
450
Correct answer
150
A wheel of a bicycle has a radius of 42 cm. How many revolutions will it make to cover a distance of 1.32 km?
50 revolutions
250 revolutions
500 revolutions
1000 revolutions
Correct answer
50 revolutions
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of the teachers would then be 25 to 1. What is the present number of teachers?
15
17
45
30
Correct answer
15
A train runs at a speed of 60 km/h. How much time will it take to cover a distance of 180 km?
2 hours
3 hours
4 hours
5 hours
Correct answer
2 hours
Ravi drives from A to B at 60 km/h and returns at 40 km/h. If the total time taken is 5 hours, what is the distance between A and B?
100 km
120 km
140 km
150 km
Correct answer
100 km
Find the volume of the cone in round figure. If the height and the slant height of a cone are 18 cm and 21 cm, respectively.
2304 cm2
2204 cm2
2106 cm2
2307 cm2
Correct answer
2304 cm2
A triangle has angles A = 50°, B = 60°, and side AB = 10 cm. Which angle lies between the given sides?
∠A
∠B
∠C
Cannot be determined
Correct answer
∠A
If x = 7/2 is a rational number and y = \( \sqrt{27} \), an irrational number, then x + y is:
Rational
Irrational
Integer
Whole Number
Correct answer
Rational
If a number is rational, it cannot be:
Whole
Integer
Irrational
natural
Correct answer
Whole
What will be the number of zeros at the end of the square of the following numbers?
(i) 70
(ii) 500
Choose the correct option:
1 zero in (i), 3 zeros in (ii)
2 zeros in (i), 4 zeros in (ii)
2 zeros in (i), 2 zeros in (ii)
1 zero in both (i) and (ii)
Correct answer
1 zero in (i), 3 zeros in (ii)
If ₹1,200 earns ₹216 as interest in 3 years, what is the rate of interest?
5%
6%
7%
8%
Correct answer
5%
Which of the following statements is true about a rhombus?
All angles are right angles
Only adjacent sides are equal
All four sides are of equal length
Opposite sides are not parallel
Correct answer
All angles are right angles
What is area of a rhombus which has diagonals 10 cm and 8 cm?
35 cm2
40 cm2
45 cm2
50 cm2
Correct answer
35 cm2
In a pair of concentric circles, a chord drawn in the larger circle just touches the smaller circle at a single point Which of the following statements is true?
The chord is always longer than the radius of the smaller circle.
The chord is bisected at the point where it touches the smaller circle.
The chord lies entirely outside the smaller circle.
The chord passes through the center of both circles.
Correct answer
The chord is always longer than the radius of the smaller circle.
A cylinder having radius of 5 cm and a height of 10 cm. Find its volume. (Ï€ = 3.14)
785 cm3
250 cm3
500 cm3
1000 cm3
Correct answer
785 cm3
If the height of a cylinder is doubled while keeping the radius the same, how does the volume change?
Doubles
Triples
Halves
Stays the same
Correct answer
Doubles
A cylindrical concrete pillar has a radius of 0.5 m and a height of 4 m. If the curved surface is to be plastered at ₹180 per m², what will be the total plastering cost for 12 such pillars?
₹57,623.90
₹59,229
₹27,129.60
₹46,129.30
Correct answer
₹57,623.90
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.