Linear equations
how many solutions does the following equation have?
3x-2y=27
infinite solutions
State true or false
1+tanA = secA
False
how do you find out the total surface area of a cuboid?
2(lh+bh+lb)
When a die is thrown, what is the probability of getting an odd number less than 3?
1/6
what is the divisibility rule for 9?
all digits adding up should be a number divisible by 9
find out whether the following pair of linear equations are consistent, or inconsistent
(3/2)x+(5/3)y = 7
9x – 10y = 14
consistent
If sin A = 1/2 , then the value of cot A is?
root 3
find the surface area of a cube when three cubes of side 4cm are attached to form a cuboid.
224 cm^2
Someone is asked to take a number from 1 to 100. What is the probability that it is a prime?
1/4
The standard form of the number 13945 is
1.3945 x 10^4
solve the equations:
(3, 5)
If 4 tanθ = 3, then:
(4sin𝜃 − cos𝜃) / (4sin𝜃 + cos𝜃)
1/2
the radii of two cones are in ratio 2:3. Their slant height is in the ratio 4:5 Find the ratio of their csa.
8/15
The probability expressed as a percentage of a particular occurrence can never be?
less than zero or greater than one
What is the nth term of an AP 9, 13, 17, 21, 25?
5 + 4n
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs.27 for a book kept for seven days, while Susy paid Rs.21 for the book she kept for five days. Find the fixed charge for the first 3 days.
₹15
A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, find the height of the wall.
7.5 metres
A canal is 300 cm wide and 120 cm deep. The water in the canal is flowing at a speed of 20 km/h. How much area will it irrigate in 20 minutes if 8 cm of standing water is desired?
300000 m^2 or 30 hectares
What is the probability that a leap year selected randomly will have 53 Sundays?
2/7
The sides (in cm) of a right triangle are (x-13), (x-26) and x, where the hypotenuse is x. What is its area?
1014 cm2
At present Asha's age is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mother's age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present age of Asha.
22 years
An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.
45 degrees
what is the formula of the diagonal of a cube?
side x root 3
Apoorva throws two dice once and calculates the product of the numbers appearing on the dice. Pranjal throws one die and squares the number that appears on it. Who has the better chance of getting the number 36?
Pranjal (1/6)
Find the mean of the first 10 even natural no.
11