List of practice Questions

What is the average of first 16 multiples of 9?
What is the least number that must be added to 6412 to get a perfect square?
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:
Joseph started a business by investing ₹ 100000. After 2 months, B joined him by investing ₹ 90000. After 4 more months, C joined them by investing ₹ 100000. The ratio of their shares in the profit at the end of the year is:
The ratio of present ages of A, B, and C is 3 : 4 : 5. After 6 years, the average age of all the three will be 26 years. What was the difference between the ages of B and C, 4 years ago?
A and B can do a work in 120 days, B and C can do it in 72 days while A and C can do it in 90 days. In how many days can C alone do the work?
A man sold two articles for ₹4000 each with no profit no loss in the whole transaction. If he sold one article at a gain of 25%, then the other article has been sold at a loss of:
In a class of 60 students, 60% are boys. The average of marks of the boys is 68 and that of the girls is 72. What are the average marks of the whole class?
If \( a^4 + \frac{1}{a^4} = 322 \), then the value of \( a - \frac{1}{a} \) is:
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
A and B, working together, can do a work in 8 days. If A alone can do the work in 12 days, then in how many days can B alone do 25 percent of the work?
The sum of all possible values of \( K \) such that a 5-digit number 90K68 is divisible by 8 will be:
In a clearance sale, goods were sold at a reduction of 20%. Sarika purchased a saree for ₹984 in the clearance sale. The usual price of the saree was:
Two trains having lengths 680 m and 570 m are running towards each other on parallel tracks with speeds of 80 km/h and 70 km/h, respectively. In how many seconds will they be able to cross each other?
What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?
If the mean of the observations 6, 16, \( (K + 26) \), \( (2K - 3) \), and 10 is 14, then the value of \( \frac{K^2 + 1}{2} \) is:
The area of a rectangle having sides in the ratio 1 : 4 is equal to the area of a square of side 8 cm. The perimeter of the rectangle (in cm) is:
If \( (1,1), (-2,2), (2,-2) \) are 3 points on a circle \( S \), then the perpendicular distance from the center of the circle \( S \) to the line \( 3x - 4y + 1 = 0 \) is:
The number of positive integers that have at most seven digits and contain only the digits 0 and 9 is
If the length of a chord of a circle is equal to that of radius of the circle, then the angle subtended in radius, at the centre of the circle by the chord is
If \(P\left( \frac{\pi}{4} \right)\), \(Q\left( \frac{\pi}{3} \right)\) are two points on the circle \(x^2 + y^2 - 2x - 2y - 1 = 0\), then the slope of the tangent to this circle which is parallel to the chord \(PQ\) is:
If half of the space between the plates of a parallel plate capacitor is filled with a medium of dielectric constant 4, the capacitance is \( C_1 \). If one-third of the space between the plates of the capacitor is filled with the medium of dielectric constant 4, the capacitance is \( C_2 \). If in both cases, the dielectric is placed parallel to the plates of the capacitor, then \( C_1 : C_2 \) is:
When n-hexane is heated to 773K at 10-20 atmosphere pressure in the presence of \(Cr_2O_3\), benzene is formed. This reaction is called