 # CBSE[Outside Delhi]_X_Mathematics_2018_Set_III

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• Q1

What is the value of (cos267°–sin223°)?

Marks:1 • Q2

In an AP, if the common difference (d) = – 4, and the seventh term (a7) is 4, then find the first term.

Marks:1 • Q3 Marks:1 • Q4

What is the HCF of smallest prime number and the smallest composite number?

Marks:1

The smallest prime number = 2

The smallest composite number = 4

Required HCF of 2 and 4 = 2

• Q5

Find the distance of a point (x, y) from the origin.

Marks:1 • Q6

If x= 3 is a root of the quadratic equation x2–2kx–6=0, then find the value of k.

Marks:1 • Q7

Two different dice are tossed tossed together. Find the probability:

i. of getting a doublet

ii. of getting a sum 10, of the numbers on the two dice.

Marks:2 • Q8

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6,-3). Hence find m.

Marks:2 • Q9

An integer is chosen at random between 1 and 100. Find the probability that it is:

i. divisible by 8.

ii. Not divisible by 8.

Marks:2 • Q10

In Fig. 1, ABCD is a rectangle. Find the value of x and y. Marks:2

ABCD is a rectangle whose opposite sides are equal.

AB = CD and BC = AD

It means,

x + y = 30 … (i)

x – y = 14 … (ii)

Adding both equations, we get

2x = 44

x = 22

Putting x = 22 in equation (i), we get

22 + y = 30

y = 8

Therefore, x = 22 and y = 8