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:

Which of the following quadratic equations has real roots?

A) 4x2 - 7x + 5 = 0 B) 5x2 - 11x + 7 = 0
C) 5x2 - 11x + 8 = 0 D) 2x2 - 7x + 5 = 0
 
Answer & Explanation Answer: D) 2x2 - 7x + 5 = 0

Explanation:
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0 1008
Q:

ABC is similar to PQR. If ratio of perimeters of ABC and PQR is 1:2 and if PQ = 10 cm then what is the length of AB (in cm)?

A) 5 B) 20
C) 25 D) 15
 
Answer & Explanation Answer: A) 5

Explanation:
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0 872
Q:

cos(A+B) + cos(A-B) is equal to

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

Explanation:
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0 787
Q:

Dodecahedron has 20 vertices. How many edges does it have?

A) 30 B) 16
C) 12 D) 24
 
Answer & Explanation Answer: A) 30

Explanation:
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0 931
Q:

What is the slope of the line parallel to the line passing through the points (3 , -4) and (-2 , 5)?

A) 9/5 B) -5/9
C) -9/5 D) 5/9
 
Answer & Explanation Answer: C) -9/5

Explanation:
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0 735
Q:

ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

A) 5 B) 4.5
C) 5.5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:
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0 1199
Q:

At what point does the line 2x - 3y = 6 cuts the X axis?

A) (-3 , 0) B) (0 , 3)
C) (0 , -3) D) (3 , 0)
 
Answer & Explanation Answer: D) (3 , 0)

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0 826
Q:

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

A) 22 B) 21
C) 55 D) 59
 
Answer & Explanation Answer: A) 22

Explanation:
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0 1141