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Q:

# Course materials are sent to students by a distance teaching institution. The probability that they will send a wrong programme’s study material is 1/5. There is a probability of 3/4 that the package is damaged in transit, and there is a probability of 1/3 that there is a short shipment. What is the probability that the complete material for the course arrives without any damage in transit?

 A) 4/5 B) 2/3 C) 1/2 D) 2/15

Explanation:

Probability of sending the correct material is 4/5

Probability of the material not being damaged in transit is 1/4

Probability that there is no short shipment = 2/3

∴ Required probability =4/5 x 1/4 x 2/3 = 2/15

Q:

If in a two digit number, the digit at unit place is y and the digit at tens place is 5, then the number is

 A) 50y + y B) 5y + 5 C) 50 + y D) 50y + 5

Explanation:

0 5
Q:

What is the value of sin ­7π/4c?

 A) ­1/√2 B) 2/√3 C) 1/√2 D) ­2/√3

Explanation:

0 0
Q:

√(cosec$2$ -­ 1)/cosecA is equal to?

 A) cosA B) sinA C) cosecA D) secA

Explanation:

0 2
Q:

Find measure of central angle of the sector whose perimeter is 25 cm and radius of the circle is 7 cm?

 A) 45° B) 22.5° C) 135° D) 90°

Explanation:

0 2
Q:

­ What is the equation of the line if its slope is 3/4 and y­intercept is 5?

 A) 3x + 4y = ­-20 B) 3x + 4y = 20 C) 3x ­- 4y = ­-20 D) 3x ­- 4y = 20

Explanation:

0 1
Q:

If  and , then the values of r and $θ$ are: $(0°⩽θ≤90°)$

 A) r=1, θ=30° B) r=1⁄2, θ=30° C) r=3 , θ=30° D) r=2, θ=60°

Explanation:

0 0
Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, the compound interest on the same at the same rate and for the same time is:­

 A) Rs. 50.50 B) Rs. 51.25 C) Rs. 51.50 D) Rs. 50.05

Explanation:

0 0
Q:

If the length of the shadow of a vertical pole be √3 times the height of the pole, the angle of elevation of the sun is:­

 A) 60° B) 45° C) 30° D) 90°