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Q:

What value should come in place of the question mark (?) in the following question?

52x14+145018=1998÷?

A) 18.25 B) 19.98
C) 34.58 D) 65.25

Answer:   B) 19.98



Explanation:
Subject: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams
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What is the simplified value of 1cosec A + cot A2 ?

A) sec A + tan A B) (1 – cos A)/(1 + cos A)
C) (1 – cosec A)/(1 + cosec A) D) sin A
 
Answer & Explanation Answer: B) (1 – cos A)/(1 + cos A)

Explanation:
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If  cos2θ-sinθ = 1/4, then what is the value of sin θ?

A) -1 B) 1/2
C) 1 D) 3/2
 
Answer & Explanation Answer: B) 1/2

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Q:

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

A) 21 cm B) 14 cm
C) 7 cm D) 28 cm
 
Answer & Explanation Answer: A) 21 cm

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Q:

If sin 30° + cos 45° = X, then the value of X.

A) (2√2-√3)/2 B) 4/√3
C) (1-√3)/√3 D) (1+√2)/2
 
Answer & Explanation Answer: D) (1+√2)/2

Explanation:
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Q:

(1 + sinA)/(1 - sinA) is equal to?

A) (cosecA - 1)/(cosecA + 1) B) (cosecA + 1)/(cosecA - 1)
C) (secA + 1)/(secA - 1) D) (secA - 1)/(secA + 1)
 
Answer & Explanation Answer: B) (cosecA + 1)/(cosecA - 1)

Explanation:
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Q:

At least one pair of opposite angles is congruent in a _____.

A) Cyclic quadrilateral B) Trapezium
C) Isosceles trapezium D) Kite
 
Answer & Explanation Answer: D) Kite

Explanation:
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Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre B) 45 litre
C) 60 litre D) 30 litre
 
Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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8 2954
Q:

Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second, are black. If a box is chosen randomly and two balls are drawn at random from it, what is the
probability that at least one ball is black if the ball is not replaced?

A) 11/20 B) 43/120
C) 77/120 D) 9/20
 
Answer & Explanation Answer: C) 77/120

Explanation:

At least one black can be chosen in two ways from each box:
Now, probability of choosing at least one black ball from first box 

= 1/2 × [ (2C1× 2C1)/4C2 + 2C2/ 4C2 ]= 5/12

Probability of choosing at least one black ball from 2nd box
= 1/2 × [(4C1×12C1)/16C2 + 4C2/ 16C2] = 9/40

Final probability

= 5/12 + 9/40 = (50 + 27)/120 = 77/120

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Exam Prep: Bank Exams , GATE

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