Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If the number 8764x5 is divisible by 9, then find the least possible value of x where x is a two-digit number.
15
06
14
18
Correct answer
15
The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a?
432
324
108
216
Correct answer
432
Find the LCM of 25, 30, 50 and 75.
15.0
150
1.50
75
Correct answer
15.0
60 men can complete a work in 40 days. They start work together but after every 10 day, 5 men leave the work. In how many days will the work be completed?
47.5
49.5
42.5
45.5
Correct answer
47.5
A tangent is drawn from an external point ‘A’ to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point ‘A’ is:
17 cm
9 cm
7 cm
13 cm
Correct answer
17 cm
A supermarket earns 5½% as discount on the total purchasing value and a bonus of ½% on sales more than Rs. 10,000. What is the total sale value if it earns Rs. 1,990?
Rs. 14,000
Rs. 16,000
Rs. 34,000
Rs. 24,000
Correct answer
Rs. 14,000
What is the greatest positive integer that divides 554, 714 and 213 leaving the remainder 43, 57 and 67, respectively?
95
71
83
73
Correct answer
95
If Cos θ + Sin θ = \(\sqrt{2}\) Cos θ, find the value of (cos θ - Sinθ).
\(\sqrt{2}\) Sin θ
\(\sqrt{2}\) cos θ
\(\frac{1}{\sqrt2}\) Sin θ
\(\frac{1}{2}\) Cos θ
Correct answer
\(\sqrt{2}\) Sin θ
A man goes 24 m towards east and then 10 m towards north. How far is he away from his initial position?
23 m
25 m
26 m
24 m
Correct answer
23 m
The length of a cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.
1290.6 m2
1275.3 m2
1265.25 m2
1282.5 m2
Correct answer
1290.6 m2
The production of AB Co. increased by 10% after one year, and in the next year it increased by 22%. In the third year, it increased by 5%. What overall change (in %) has been there in the production in three years from the original production?
41.5%
40.9%
41.2%
42.8%
Correct answer
41.5%
The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves ₹4,000 per month, then find the monthly income of Shiv.
₹16,000
₹18,000
₹14,000
₹20,000
Correct answer
₹16,000
If \(x+\frac{1}{x}=2\), then the value of \(x^4+\frac{1}{x^4}=\) ________.
0
2
-1
1
Correct answer
0
There are 3 taps, A, B and C, in a tank. These can fill the tank in 10 h, 20 h and 25 h, respectively. At first, all three taps are opened simultaneously. After 2 h, tap C is closed and tap A and B keep running. After 4 h, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.
75%
52%
72%
32%
Correct answer
75%
The greatest number of five digits which is divisible by 13, 15, 18 and 21 is:
99120
98280
96840
95830
Correct answer
99120
If the number 6336633P is divisible by 132, then the value of P is:
4
2
3
6
Correct answer
4
In the given circle with diameter AB and chord CD, with center O. find the value of θ.
50°
20°
30°
40°
Correct answer
50°
If a2 + b2 + 1 = 2a, then the value of a4 + b7 is:
1
0
2
4
Correct answer
1
The bar graph given here shows the data of the production of cars by three different companies X, Y, Z over the years.
For which of the following years is the percentage rise/fall in the production from the previous year the maximum for company Y?
2019
2018
2016
2017
Correct answer
2019
The average of 15 results is 21. The average of the first 7 of those is 21 and the average of the last 7 is 20. What is the 8th result?
25
31
28
22
Correct answer
25
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.