2
Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2 B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2 D) Quantity1 > Quantity2

Answer:   D) Quantity1 > Quantity2



Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
192300×100=64%
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = 10000160=62.5

100-62.5=37.5%

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

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0 863
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

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0 912
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 1088
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

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0 1042
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

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0 879
Q:

How many diagonals are there in octagon?

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

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0 699
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

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1 962
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°

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0 1204