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 will be the equation of the perpendicular bisector of segment joining the points (5,­3) and (0,2)?

A) x + y = 2 B) x -­ y = ­-3
C) x + y = ­2 D) x ­- y = 3
 
Answer & Explanation Answer: D) x ­- y = 3

Explanation:
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0 600
Q:

What is the distance between the points (4,7) and (­1,­5)?

A) 10 units B) 13 units
C) 5 units D) 11 units
 
Answer & Explanation Answer: B) 13 units

Explanation:
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0 610
Q:

Chords PQ and RS of a circle extended externally intersect at point T. Length of the segment PT, if lengths of QT, RT and ST are 9 cm, 18 cm and 6 cm respectively, is

A) 18 cm B) 12 cm
C) 16 cm D) 8 cm
 
Answer & Explanation Answer: B) 12 cm

Explanation:
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0 1053
Q:

What is the measure of an interior angle of a regular Octagon?

A) 135° B) 120°
C) 140° D) 144°
 
Answer & Explanation Answer: A) 135°

Explanation:
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0 830
Q:

If cos(A-B) - cos(A+B) = x, then the value of x is

A) 2sinAsinB B) 2cosAcosB
C) 2cosAsinB D) 2sinAcosB
 
Answer & Explanation Answer: A) 2sinAsinB

Explanation:
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0 541
Q:

The slope of the line passing through the points (-5,1) and (x,-4) is -5/8. Find x.

A) 4 B) 3
C) 2 D) -1
 
Answer & Explanation Answer: B) 3

Explanation:
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0 598
Q:

If 4x - 5y = -37 and 7x + y = -16, then x - y = ______

A) -8 B) 8
C) 2 D) -2
 
Answer & Explanation Answer: A) -8

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0 657
Q:

What is the reflection of the point (3, 2) in the line y = -2?

A) (-7 , 2) B) (-3 , -6)
C) (-7 , -2) D) (3 , -6)
 
Answer & Explanation Answer: D) (3 , -6)

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1 582