Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13%. His gain (in %) is:
9.62
9.26
6.92
6.29
Correct answer
9.62
Two trains of equal length take 10 s and 20 s, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other?
10 sec
15 sec
40 sec
30 sec
Correct answer
10 sec
A person bought bananas at 6 for ₹12 and sold them at 8 for ₹10. Find his gain or loss percentage?
3.75% gain
37.5% loss
375% gain
0.375% loss
Correct answer
3.75% gain
The amount of debt that will be discharged by 5 equal monthly instalments of ₹1,845 each, at the rate of 48% simple interest per annum, is:
₹9,936
₹9,468
₹9,048
₹9,963
Correct answer
₹9,936
Which of the following statements is true?
The sum of the squared deviations of the items from the arithmetic mean is maximum.
Arithmetic mean is the sum of deviations from the mid value.
The sum of deviations of the items from the arithmetic mean is always one.
The sum of deviations of the items from the arithmetic mean is always zero.
Correct answer
The sum of the squared deviations of the items from the arithmetic mean is maximum.
A bank gives simple interest at the rate of 4.5% per annum. How much money (in ₹) should a person deposit to get ₹7,500 as interest every year?
1,33,333.33
2,33,333.33
2,66,666.67
1,66,666.67
Correct answer
1,33,333.33
The price of a television set and a washing machine are in the ratio of 8 : 7. If the cost of the television set is ₹4,800 more than the cost of the washing machine, then find the price of the washing machine.
₹33,000
₹33,500
₹33,600
₹33,700
Correct answer
₹33,000
In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit. The error percent in the area calculated from these measurements is:
1.4%
1.0%
1.2%
0.8%
Correct answer
1.4%
The cost price of 10 apples is equal to the selling price of 20 apples. Find the loss or gain percentage.
Loss 50%
Gain 10%
Gain 20%
Loss 40%
Correct answer
Loss 50%
The radius and height of a cylinder are in the ratio 7 ∶ 13 and its volume is 6006 cm3. Its radius will be:
(Use π = \(\frac{22}{7}\))
7 × 3\(\frac{1}{3}\) cm
6 × 2\(\frac{1}{3}\) cm
5 × 2\(\frac{1}{3}\) cm
3 × 2\(\frac{1}{3}\) cm
Correct answer
7 × 3\(\frac{1}{3}\) cm
If the GST on a certain article was Rs.600 two years back and it increased to Rs.750 this year, find the percentage increase in the GST on that article.
30%
15%
25%
20%
Correct answer
30%
Find the third proportional to 5 and 15 which is equal to the fourth proportional of 2, 5 and 18.
36
46
45
32
Correct answer
36
A city’s population grows by 10% in the first year, 20% in the second year and 10% in the third year. If the population after 3 years is 8,71,200, then what was the original population 3 years ago?
7,00,000
7,92,000
6,60,000
6,00,000
Correct answer
7,00,000
An item costs Rs15,000. A customer can choose either 30% discount or the buy two get one free offer. Jeevan chose the first offer and Rakshit chose the second offer. Find the difference in their payment for a single item.
Rs.500
Rs.10,500
Rs.750
Rs.10,000
Correct answer
Rs.500
If (5)55 is divided by 4, then the remainder is:
5
1
3
2
Correct answer
5
In a constituency, the total number of people on the electoral roll was 2,75,000. Out of them, 90% cast their votes in an election and 15% of the votes cast were declared invalid. What was the number of valid votes cast?
2,10,275
2,10,375
2,10,325
2,10,425
Correct answer
2,10,275
The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by:
\(\rm \frac{2}{r}\)
\(\rm \frac{1}{2r}\)
2r
\(\rm \frac{r}{2}\)
Correct answer
\(\rm \frac{2}{r}\)
In how many years will Rs.2,500 invested at the rate of 12% per annum, simple interest, amount to Rs.3,700?
4
5
2
3
Correct answer
4
A group of men decided to complete a job in 4 days. However, since 10 men dropped out every day, the job got completed at the end of the 7th day. How many men were there in the beginning?
140
70
35
90
Correct answer
140
If a number is divisible by both 11 and 13, then it must be:
divisible by (11×13)
divisible by 42
divisible by (11+13)
divisible by (13-11)
Correct answer
divisible by (11×13)
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.