Find real questions from previous competitive exam papers with answers and solutions.
Leave the keyword blank to browse saved questions for your selected exam, newest papers first. Add a keyword, year or topic to narrow the results.
Browse complete papersTwo circles touch each other at point X. A common tangent touches them at two distinct points, Y and Z. If another tangent passing through X cuts YZ at A and XA = 16 cm, then what is the length of YZ (in cm)?
42
24
18
32
Correct answer
42
What is the minimum value that must be assigned to A so that the 8-digit number 102A4716 is divisible by 4?
5
0
4
1
Correct answer
5
There are 36 balls in a bag. Some of them are red, few are white and some are black. The average cost of red and white balls is ₹38 while the average cost of white and black balls is ₹37. If the average cost of red, white and black balls is ₹42, ₹35 and ₹41, respectively, then the number of white balls in the bag is:
8
12
10
16
Correct answer
8
The smallest natural number that should be added to 478100 so that the sum is exactly divisible by 11 is:
1
5
7
4
Correct answer
1
A man sold an article for ₹573 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹2,865, then what will be the value of d?
42
37
40
38
Correct answer
42
If A = 7.5°, then what is the value of \(\mathrm{\frac{\sqrt3cot4A+34\sqrt3sin 8A+22cos8A}{13\sqrt2cosec6A}}\) ?
2.5
1.6
3.4
5.8
Correct answer
2.5
Evaluate: 51 − [25 − {21 − (14 − 9 + 6)}]
33
35
36
34
Correct answer
33
Two spheres of radius 9 units and 10 units are melted to form a sphere of radius 1 unit and another sphere. What is the value of the diameter of the other sphere (in units)?
24
12
18
36
Correct answer
24
If 2 is subtracted from each of the numerator and the denominator of a fraction a/b, it becomes 1/3. If 17 is added to the numerator and 15 is added to the denominator of the original fraction, then the fraction becomes 6/14. What is the value of (6a − b)?
136
130
133
131
Correct answer
136
Simplify:
\(\mathrm{3~\times ~ (8~\times ~(4^2)) \div16 + 79-70}\)
31
42
33
36
Correct answer
31