What is the remainder when the number (4444)4444 is divided by 9?
What is the solution of the equation
x log10 (10/3) + log10 3 = log10 (2 + 3x) + x?
If α and β are the roots of the equation x2 + px + q = 0, then what is α2 + β2 equal to?
The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if
The number of prime numbers which are less than 100 is
The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1:2:3:4. If the loss in total value of the diamond was the ₹ 70,000, what was the price of the original diamond?
If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men?
Leela got married 6 years ago. Today her age is 1¼ times her age at the time of her marriage. Her son’s age is 1/10 times her age. What is the present age of her son?
A and B working together can finish a piece of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work?
The values of x which satisfy the equation 51+x + 51–x = 26 are
If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is
A passenger train departs from Delhi at 6 pm for Mumbai. At 9 pm, an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?
In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be
If a + b = 5 and ab = 6, then what is the value of a3+ b3?
What is the LCM of x3 + 8, x2 + 5x + 6 and x3 + 4x2 + 4x?
Rajendra bought a mobile with 25% discount on the selling price. If the mobile cost him Rs. 4,875, what is the original selling price of the mobile?
A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction?
The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is Rs. 10. What is the sum?
If a% of a + b% of b = 2% of ab, then what percent of a is b?
5/9 th part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is
Sunil wants to spend Rs.200 on two types of sweets, costing Rs.7 and Rs.10 respectively. What is the maximum number of sweets he can get so that no money is left over?
The HCF of two expressions p and q is 1. What is the reciprocal of their LCM?
A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken?
Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are
The system of equations 2x + 4y = 6 and 4x + 8y = 8 is
The ratio of two numbers is 1:5 and their product is 320. What is the difference between the squares of these two numbers?
25 kg of alloy X is mixed with 125 kg of alloy Y. If the amount of lead and tin in the alloy X is in the ratio 1:2 and the amount of lead and tin in the alloy Y is in the ratio 2:3, then what is the ratio of lead to tin in the mixture?
The mean of 5 numbers is 15. If one more number is included, the mean of the 6 numbers becomes 17. What is the included number?
The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are
Consider the following distribution:
If the mean of the above distribution is 50, what is the value of f?
In a pie diagram, there are four slices with angles 150°, 90°, 60° and 60°. A new pie diagram is formed by deleting one of the slices having angle 60° in the given pie diagram. In the new pie diagram
In an asymmetrical-distribution, if the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is
An individual purchases three qualities of pencils. The relevant data is given below:
It is known that the average price per pencil is ₹1.25. What is the value of x?
If D is the number of degrees and R is the number of radians in an angle θ, then which one of the following is correct?
What is the minimum value of 9 tan2 θ + 4 cot2 θ
If cos θ1 + cos θ2 + cos θ3 = 3, then what is sin θ1 + sin θ2 + sin θ3 equal to?
What is the value of which satisfies the equation cos θ + tan θ = 1?