Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
How much will the interest be for Rs. 1900 at 9% per annum for 3 years?
512
513
511
514
Correct answer
512
The square root of any prime number is:
Rational
Whole
Irrational
Integer
Correct answer
Rational
Amir goes to his college from his house at a speed of 4 km/hr and returns at a speed of 2 km/hr. If he takes 4 hours to go and come, find the distance between his house and school.
4.33 km
5.33 km
6 km
5.1 km
Correct answer
4.33 km
A small rectangular container intended for holding liquids has dimensions of 25 cm length, 20 cm width, and 15 cm depth. How many liters of liquid can it hold? (Given: 1 liter = 1000 cm3)
75 liters
7.5 liters
0.75 liters
0.075 liters
Correct answer
75 liters
A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm. What is the minimum number of such square pieces required to cover the entire surface of the box?
125
350
150
250
Correct answer
125
A cone and a hemisphere have equal curved surface areas and equal radii. Find the ratio of their volumes.
√3 : 2
√5 : 2
1 : 2
5 : 2
Correct answer
√3 : 2
A right circular cone is cut into two parts of equal height by a horizontal plane. What is the ratio of the volumes of the smaller cone to the frustum?
7 : 1
1 : 7
5 : 1
6 : 1
Correct answer
7 : 1
Expand: (3x - 7)2 = ?
9x2 + 42x + 49
9x2 - 42x + 49
x2 - 42x + 49
9x2 - 21x + 49
Correct answer
9x2 + 42x + 49
A regular right pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. What is its volume?
254 cm3
288 cm3
384 cm3
480 cm3
Correct answer
254 cm3
If each exterior angle of a regular polygon measures \(51\frac{3}{7}^\circ\), find the ratio of the number of its diagonals to the number of its sides.
2 : 9
3 : 2
2 : 1
5 : 2
Correct answer
2 : 9
Simplify:
\(\left(2\frac{1}{4}\times 1.6\right)+\left(1\frac{1}{3}\div0.4\right)\)
9.22
8.84
9.63
6.93
Correct answer
9.22
A pipe can fill a tank in \(2\frac{2}{3}\) hours, and another pipe empties it in 4 hours. If both are opened together, how long will it take to fill the tank?
8 h
10 h
12 h
16 h
Correct answer
8 h
X and Y started a business investing Rs. 60,000 and Rs. 90,000 respectively. After 5 months, X withdrew half his capital, and Y added Rs. 30,000 more. If the total profit at year-end is Rs. 49,500, find X's share.
Rs. 14,555
Rs. 14,305
Rs. 14,150
Rs. 14,025
Correct answer
Rs. 14,555
A circular garden has radius 10 m. What is its area in square meters?
500
541
314
100
Correct answer
500
Out of her total monthly income, a woman spends 60% on household expenses and 15% on savings. The remaining is spent on other items.
What percentage of her income is spent on these other items?
35%
25%
20%
30%
Correct answer
35%
A circular sheet of radius 10 cm is cut to form a sector of 120°. What is the length of the arc of this sector?
\(\frac{340}{21}\) cm
\(\frac{431}{24}\) cm
\(\frac{440}{21}\) cm
\(\frac{450}{21}\) cm
Correct answer
\(\frac{340}{21}\) cm
If X : Y = 3 : 2 then the value of \(\rm \frac{2x+5y}{3x+7y}?\)
13
\(\frac{14}{25}\)
\(\frac{17}{24}\)
\(\frac{16}{23}\)
Correct answer
13
A shopkeeper bought 100 pens at Hs 10 each. He sold 60 pens at 20% profit and the rest at 10% loss.
What is the overall profit or loss percentage?
2% profit
1% loss
3% loss
8% profit
Correct answer
2% profit
If (√7)6 ÷ (√7)4 = 7n, then find the value of n.
-2
2
-1
1
Correct answer
-2
The difference between 40% of a number and 25% of the same number is 75. What is 30% of the number?
120
125
150
135
Correct answer
120
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.