CBSE[Outside Delhi]_X_Mathematics_2018_Set_III
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Q1
What is the value of (cos^{2}67°–sin^{2}23°)?
Marks:1Answer:

Q2
In an AP, if the common difference (d) = – 4, and the seventh term (a_{7}) is 4, then find the first term.
Marks:1Answer:

Q3Marks:1
Answer:

Q4
What is the HCF of smallest prime number and the smallest composite number?
Marks:1Answer:
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:1Answer:

Q6
If x= 3 is a root of the quadratic equation x^{2}–2kx–6=0, then find the value of k.
Marks:1Answer:

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:2Answer:

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:2Answer:

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:2Answer:

Q10
In Fig. 1, ABCD is a rectangle. Find the value of x and y.
Marks:2Answer:
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