Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1,710 votes. The number of voters enrolled on the voters list was:
21,000
19,000
18,000
20,000
Correct answer
21,000
At a fitness club, 70% of the members are men and 30% of the members are women. If the average age of the men is 30 years and that of the women is 40 years, then what is the average age of all the members?
38 years
33 years
35 years
30 years
Correct answer
38 years
The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:
25,000
20,000
15,000
30,000
Correct answer
25,000
By selling a mobile phone for ₹23,856, Ramesh gains 20%. If he sells it for ₹20,580, find his gain or loss percentage (correct to two places of decimals)
Loss 3.52%
Gain 5.32%
Gain 3.52%
Loss 5.32%
Correct answer
Loss 3.52%
Find the average of the first 18 multiples of 9.
88.5
82.3
85.5
84.6
Correct answer
88.5
A borrows ₹20,000 from B and C. B lends him a certain sum of money at 25% simple interest per annum, while C lends him the remaining sum of money at 21% simple interest per annum. The total interest paid by A in one year is ₹4,500. The sum (in ₹) borrowed from B is:
9,000
6,000
7,500
12,500
Correct answer
9,000
If 108 workers can build a wall in 36 days, then in how many days can 48 workers build the same wall?
72
63
81
54
Correct answer
72
The ratio of the salaries of S to F is 2 : 3 and the ratio of their savings is 3 : 4. What is the ratio of their expenditures if their total savings are equal to the salary of S?
8 : 15
7 : 15
8 : 13
7 : 12
Correct answer
8 : 15
Mr Gogia invested an amount of ₹,13,900 divided into two different schemes A and B at the simple interest rate of 14% pa and 11% pa, respectively. If the total amount of simple interest earned in 2 years is ₹3,508, what was the amount invested in scheme B?
₹7,200
₹6,500
₹6,400
₹7,500
Correct answer
₹7,200
Which of the following numbers is divisible by 11?
88,65,987
55,78,961
88,65,747
45,12,458
Correct answer
88,65,987
In a discount scheme, there is a 38% discount on the marked price of Rs.1,250, but the sale is done at Rs.434 only, then what additional discount did the customer get?
48%
40%
58%
44%
Correct answer
48%
A train starts from station P with 'n' number of passengers. At station Q, 20% of the passengers get down and 50 passengers get in. At station R, 40% of the passengers get down and 10 passengers get in. If a total of 520 passengers are left on the train, find the value of 'n'.
855
1000
750
975
Correct answer
855
A sum of money invested at simple interest amounts to ₹1,01,264 in 3 years and to ₹1,01,654 in 4 years. What was the sum invested (in ₹)?
1,00,194
2,01,094
1,01,094
1,00,094
Correct answer
1,00,194
Antara's monthly income is ₹96,000, while Barnali's monthly income is ₹1,10,000. If y% of Barnali's income is equal to 55% of Antara's monthly income, find the value of y.
48
44
52
45
Correct answer
48
In a business, R invests ₹65,000 and he gets a total ₹80,000 back. Out of profit, ₹2,000 are spent as expenses of the business. What is his profit from the business in percentage?
18%
25%
22%
20%
Correct answer
18%
The mean proportion of 0.06 and 0.96 is:
0.51
0.24
0.48
0.26
Correct answer
0.51
The height of a solid cylinder is 4 times its radius. Its curved surface area is ______ times its base area.
2
6
8
4
Correct answer
2
A grocer has 15 kg of sugar at ₹45 per kg. How much sugar at ₹34.5 per kg should she add to it, so that the mixture is worth ₹38 per kg?
32 kg
30 kg
35 kg
28 kg
Correct answer
32 kg
The simple interest on a certain sum is one-fifth of the sum and the interest rate per cent per annum is 3.2 times the number of years. If the rate of interest increases by 4%, then the simple interest (in ₹) on ₹7,500 for 4 years is:
2,500
3,000
3,600
5,100
Correct answer
2,500
Ram goes to his office from his house at a speed of 8 km/h and returns at a speed of 2 km/h. If he takes four hours in going and coming back, find the distance between the house and the office.
6.4 km
5.3 km
7.4 km
6.3 km
Correct answer
6.4 km
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.