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:

Find the volume (in cub.cm) of a sphere of diameter 42 cm

A) 17779 B) 36922
C) 38808 D) 13371
 
Answer & Explanation Answer: C) 38808

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0 749
Q:

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A) 144 B) 49
C) 98 D) 72
 
Answer & Explanation Answer: D) 72

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0 861
Q:

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter

A) 92 B) 48
C) 46 D) 96
 
Answer & Explanation Answer: C) 46

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0 813
Q:

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

A) 3/4(√7 – √3) B) √5 – √3
C) √7 + √5 D) 1/2(√7 + √3)
 
Answer & Explanation Answer: A) 3/4(√7 – √3)

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0 863
Q:

Rahul’s salary is 40% of Mohit’s salary. If Rahul’s salary is increased by 60% and Mohit’s salary is decreased by 20%, then Rahul’s salary will be how much percentage of Mohit’s salary?

A) 80 B) 100
C) 105 D) 64
 
Answer & Explanation Answer: A) 80

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1 866
Q:

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

A) π6 B) π3
C) 2π3 D) π2
 
Answer & Explanation Answer: D) π2

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0 812
Q:

Choose the CORRECT option if the two sides of a triangle is of length 4 cm and 10 cm and the length of its third side is a cm.

A) a<6 B) 6
C) a>5 D) 5
 
Answer & Explanation Answer: B) 6

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0 792
Q:

If 2x2+2y2=4a the find the value of 2ax2-a+2ay2-a

A) 0 B) 1
C) a D) 2a
 
Answer & Explanation Answer: A) 0

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0 829