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:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

Explanation:
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0 559
Q:

The simplified value of 3-212-18 - 13 × 27 - 12 x 273 is closest to

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

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0 624
Q:

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

A) 36 Metres B) 48 Metres
C) 60 Metres D) 72 Metres
 
Answer & Explanation Answer: B) 48 Metres

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0 557
Q:

What is the effective discount (in %) on two successive discounts of 20% and 10%?

A) 30 B) 32
C) 35 D) 28
 
Answer & Explanation Answer: D) 28

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0 470
Q:

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is

A) 21 4/7° B) 25°
C) 25 5/7° D) 38 4/7°
 
Answer & Explanation Answer: C) 25 5/7°

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0 496
Q:

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

A) 15° B) 16°
C) 22.5° D) 24°
 
Answer & Explanation Answer: B) 16°

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1 550
Q:

The successive discount of 15%, 20% and 25% on an article is equivalent to the single discount of

A) 60% B) 47%
C) 49% D) 40%
 
Answer & Explanation Answer: C) 49%

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0 513
Q:

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

A) 40 km B) 60 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: B) 60 km

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0 501