0
Q:

n is an integer chosen at random from the set

{5, 7, 9, 11 }

p is chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23 ?

A) 0.1 B) 0.2
C) 0.25 D) 0.3

Answer:   A) 0.1



Explanation:

Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.

Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)

This means that the probability of getting a sum of 23 is 2/20 = 1/10

Q:

What is the simplified value of (cos A + sin A)(cot A + tan A)?

A) sec A + cosec A B) sin A + cos A
C) tan A + cot A D) sec A – cosec A
 
Answer & Explanation Answer: A) sec A + cosec A

Explanation:
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0 729
Q:

If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

A) 3√5 B) 3√5 – 7
C) 3√5 + 7 D) 8
 
Answer & Explanation Answer: B) 3√5 – 7

Explanation:
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0 696
Q:

If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

A) 50 B) 55
C) 60 D) 65
 
Answer & Explanation Answer: B) 55

Explanation:
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0 900
Q:

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A) 2√3 B) √3
C) 1/√3 D) Cannot be determined
 
Answer & Explanation Answer: B) √3

Explanation:
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0 876
Q:

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

A) 2 B) 2.5
C) 5 D) 10
 
Answer & Explanation Answer: B) 2.5

Explanation:
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0 707
Q:

How many diagonals are there in octagon?

A) 12 B) 14
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

Explanation:
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0 578
Q:

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

A) 14 B) 14√2
C) 7 D) 7√2
 
Answer & Explanation Answer: A) 14

Explanation:
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1 829
Q:

In the fig. ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to

A) 30° B) 60°
C) 50° D) 90°
 
Answer & Explanation Answer: B) 60°

Explanation:
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0 935