The LCM of x and y is 441 and their HCF is 7. If x = 49 then find y.
- AOption (a)
56
- BOption (b)
36
- COption (c)
65
- DOption (d)
63
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Correct answer
56
Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The LCM of x and y is 441 and their HCF is 7. If x = 49 then find y.
56
36
65
63
Correct answer
56
The mean proportional between 0.04 and 0.36 is:
0.144
1.2
12
0.12
Correct answer
0.144
Given that A and B are second quadrant angles, sin A = \(\frac{1}{3}\) and sin B = \(\frac{1}{5}\), then find the value of cos (A − B).
\(\frac{4\sqrt{3}+1}{15}\)
\(\frac{8\sqrt{3}−1}{15}\)
\(\frac{8\sqrt{3}+1}{15}\)
\(\frac{4\sqrt{3}−1}{15}\)
Correct answer
\(\frac{4\sqrt{3}+1}{15}\)
A and B can complete a work in 10 days and 15 days, respectively. They got a total of Rs. 1,250 for that work. What will be B’s share?
Rs. 400
Rs. 500
Rs. 600
Rs. 200
Correct answer
Rs. 400
There are six baskets — Green, Red, Blue, Yellow, Black and White.
Each basket has some rings in it. The average number of rings in all the six baskets is 38. If the blue basket is removed, the average number of rings in the remaining baskets is 34. How many rings are there in the blue basket?
22
45
37
58
Correct answer
22
A boat can go 40 km downstream and 25 km upstream in 7 hours 30 minutes. It can go 48 km downstream and 36 km upstream in 10 hours. What is the speed (in km/h) of the boat in still water?
6
12
9
15
Correct answer
6
Amit & Sumit start walking from same point in opposite directions at the speed of 6 km/h and 4 km/h, respectively. How far will they be from each other after 4 hours?
500 m
35 km
40 km
300 m
Correct answer
500 m
In a shop, a discount of 8% is provided. If the total payable after discount is more than Rs. 5,000 and additional discount of 20% is provided, then determine the final amount to be paid by customer, if he buys 12 products each of price Rs. 750.
Rs. 6,724
Rs. 6,624
Rs. 6,424
Rs. 6,524
Correct answer
Rs. 6,724
The HCF of two numbers 960 and 1020 is:
40
120
60
80
Correct answer
40
If the 9-digit number 72x8431y4 is divisible by 36, what is the value of \(\rm\left(\frac{x}{y}−\frac{y}{x}\right) \) for the smallest possible value of y, given that x and y are natural numbers?
1\(\frac{5}{7}\)
2\(\frac{1}{10}\)
1\(\frac{2}{5}\)
2\(\frac{9}{10}\)
Correct answer
1\(\frac{5}{7}\)
The total surface area of a solid metallic hemisphere is 462 cm2. This is melted and moulded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use π = 22/7)
14 cm
7 cm
21 cm
28 cm
Correct answer
14 cm
The greatest four digit number which is exactly divisible by 15, 24 and 40 is:
9960
9940
9990
9980
Correct answer
9960
Study the following table and answer the question.
The table shows the percentage of marks obtained by five students in different subjects.
| Students | Subjects | ||||
|---|---|---|---|---|---|
| Chemistry Maximum marks 300 | Mathematics Maximum marks 300 | Physics Maximum marks 150 | Hindi Maximum marks 300 | English Maximum marks 200 | |
| Raju | 60 | 85 | 90 | 80 | 65 |
| Shyamu | 65 | 70 | 60 | 75 | 65 |
| Mohan | 70 | 75 | 80 | 65 | 85 |
| Shobh | 60 | 65 | 60 | 85 | 80 |
| Sushil | 65 | 75 | 70 | 60 | 75 |
What are the percentage marks obtained by Mohan?
70.6 Percent
74.6 Percent
73.2 Percent
73.6 Percent
Correct answer
70.6 Percent
If 16y2 − k = \(\rm\left(4 y+\frac{3}{2}\right)\left(4 y−\frac{3}{2}\right)\), then the value of k is:
\(\frac{9}{4}\)
\(\frac{11}{4}\)
\(\frac{6}{4}\)
\(\frac{7}{4}\)
Correct answer
\(\frac{9}{4}\)
A wristwatch is sold for Rs. 1,200 at a profit percent equal to its cost price. Find the cost price of the wristwatch.
Rs. 400
Rs. 250
Rs. 350
Rs. 300
Correct answer
Rs. 400
The given pie chart shows the percentage of students who speak different languages in a hostel. The total number of students in the hostel is 100.

What is the ratio of students speak English and Bhojpuri to those who speak Tamil?
10 ∶ 3
1 ∶ 1
20 ∶ 3
5 ∶ 1
Correct answer
10 ∶ 3
The value of \(\rm\frac{\left{\left(m^2+n^2\right)(m-n)-(m-n)^3\right}}{\left(m^2 n-m n^2\right)}\) is:
m + n
m − n
2
\(\rm\frac{m}{n}\)
Correct answer
m + n
The population of a town is 1,25,000. If the annual birth rate is 12.7% and the annual death rate is 2.7%, how much will the population increase after 3 years?
43,285
41,375
42,565
40,275
Correct answer
43,285
A computer marked at Rs.18,000 was sold at Rs.15,840. The percentage of discount is:
13.6%
21.60%
12%
21%
Correct answer
13.6%
A can do a piece of work in 10 days. B can do it in 15 days. With the assistance of C they completed the work in 5 days. Find in how many days C alone can do it?
20
25
30
35
Correct answer
20
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.