SAT (Stage-1) M...

If the sum of the first 5 terms of an AP is 160 and its first term is 6, find the common difference.

In the given figure, AB and AC are equal chords and BCDE is a cyclic quadrilateral. If∠DEX = 80° and ∠ACD = 30°, what is the measure of ∠CAB?

If AB and AC are two tangents to a circle with centre O, which of the following relationships is true?

If one of the diagonals of a square has vertices (1, 2) and (4, 6), what is the area of the square?

The pair of equations 2x + 4y + 10 = 0 and -6x - 12y + 2 = 0 has

If the system of equations 2kx + 6y = 1 and 6x + 2ky = 2p - 1 is inconsistent, which of the following cannot be the value of p?

On rationalising the denominator of , we get . What are the values of a, b and c respectively?

The probability that a leap year selected at random will contain 53 Sundays is

If α, β are the roots of the equation 2x² - 7x + 5 = 0, then α³ + β³ is equal to

Which of the following equations can be obtained after completing the square of 3x² - 11x - 4 = 0?

Work efficiency of two persons is in the ratio 2 : 3. Work assigned to them is in the ratio 4 : 5. Find the ratio of the time taken by them, if they start at the same time.

For a grouped data, if l = 45, h = 15, f₁ = 35, f₀= 30 and mode = 54.375, then what is the value of f₂?

Given:
l = Lower limit of the modal class
h = Size of the class interval
f₁ = Frequency of the modal class
f₀ = Frequency of the class preceding the modal class
f₂ = Frequency of the class succeeding the modal class

Look at the pie chart that shows the number of students who like different colours and answer the question below.

One student is selected randomly from the group. Find the probability that the student likes orange or pink or peach colour.

What is the total surface area of a box with length, breadth and height as 16 cm, 8 cm and 6 cm, respectively?

What is the maximum number of cubes of side 5 cm that can be obtained from a cube of side 20 cm?