Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In what time does a sum of money amount to twice of itself at simple interest of 10% per annum?
10 years
5 years
15 years
12.5 years
Correct answer
10 years
Find the average of all the prime numbers between 1 to 50. [Give your answer correct to one decimal place.]
24.9
34.9
52.9
21.9
Correct answer
24.9
Select the number that will come in place of the question mark (?) in the following mathematical statement.
\(\frac{18}{292} \times \frac{73}{144}\times ? = 19\)
622
608
618
610
Correct answer
622
A cylindrical rod of iron, whose height is equal to the radius of its base, is melted and cast into spherical balls, each of whose radius is half the radius of the base of the rod. Find the number of spherical balls thus made.
4
6
5
3
Correct answer
4
What is the value of (1 ÷ 8) of 512 - {- 5 ÷ 0.5} × 6 ?
114
4
124
64
Correct answer
114
If P = 28 × 35, Q = 23 × 34, and R = 35 × 27 , then what is the highest common factor of P, Q and R?
23 × 34
28 × 35
22 × 32
24 × 35
Correct answer
23 × 34
An article is sold at a discount of 12.5%, and still there is a profit of 15%. At what approximate percentage over and above its cost price has the mark-up price of the article been fixed?
29.41%
30.08%
34.46%
31.43%
Correct answer
29.41%
What is the average of the first 60 natural numbers?
30
60
30.5
45.5
Correct answer
30
Rajan sold an article to Shyam at a profit of 20%, Shyam sold it to Mohan at a loss of 10%, while Mohan sold it to Ratan at a profit of 12.5%. If Ratan purchased the article for Rs. 1,215, then at what price did Rajan purchase it?
Rs. 2,000
Rs. 950
Rs. 1,000
Rs.900
Correct answer
Rs. 2,000
The average of the runs scored by 8 players in an innings is 55. If the runs scored by 7 of these players in that innings are 25, 35, 45, 60, 65, 60 and 80, then how many runs are scored by the 8th player in that innings?
65
80
75
70
Correct answer
65
15% of 20% of S = 126. What is the value of S?
4200
4500
4800
3900
Correct answer
4200
What distance will be covered in 14 minutes by an auto rickshaw moving at 42 km/h?
6.2 km
7.2 km
9.8 km
5.8 km
Correct answer
6.2 km
If a boat can cover 250 km downstream and 150 km upstream in 5 hours each, then how much distance will a wooden object flowing in the river cover in 6 hours?
54 km
50 km
40 km
60 km
Correct answer
54 km
If 162 ∶ x ∶∶ x ∶ 338, find the positive value of x.
250
300
234
318
Correct answer
250
The following table shows the number of children from 4 different schools who like 4 different types of fruits.
All the children like only one of the given fruits.
| No. of children who likes | ||||
|---|---|---|---|---|
| School | Apple | Orange | Mango | Grapes |
| P | 120 | 50 | 160 | 150 |
| Q | 90 | 160 | 60 | 90 |
| R | 140 | 120 | 190 | 110 |
| S | 160 | 50 | 40 | 70 |
The total number of students who like grapes from schools P and R together is what percentage of the total number of students who like mango from school R?(Correct to two decimal places)
136.84%
140.68%
128.92%
150%
Correct answer
136.84%
A takes twice as much time as B or thrice as much time as C to complete a piece of work. Working together, the trio can complete this work in 2 days. How many days will B take to complete the work alone?
15
6
12
4
Correct answer
15
Raman can do a piece of work in 8 days, Sanam and Aman together can do the same work in 6 days, while Raman and Aman together can do it in 4 days. How long will Sanam alone take to do the work?
25 days
18 days
24 days
16 days
Correct answer
25 days
The following bar graph shows the results of a survey conducted for 200 students about their favourite hobbies.
In percentage terms, how many more students chose outdoor games as their favourite hobby over those who chose indoor games as their favourite hobby?
50%
100%
200%
20%
Correct answer
50%
If the circumference of the top of a hemispherical bowl is 44 mm, find the radius of the top of that bowl. [Use \(\pi =\frac{22}{7}\)]
10 mm
7 mm
9 mm
8 mm
Correct answer
10 mm
Find the value of 'b' in the given mathematical
Statement:
30% of b% of 296 = 40% of 50% of 5% of 1480
\(\frac{80}{3}\)
\(\frac{40}{3}\)
\(\frac{125}{3}\)
\(\frac{50}{3}\)
Correct answer
\(\frac{80}{3}\)
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.