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 smallest number should be added to 2401 so that the sum is completely divisible by 14 ?

A) 8 B) 7
C) 4 D) 5
 
Answer & Explanation Answer: B) 7

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2 1406
Q:

What is the altitude of an equilateral triangle whose side is 12 cm?

A) 6√3 cm B) 3√3 cm
C) 6√2 cm D) 4√2 cm
 
Answer & Explanation Answer: A) 6√3 cm

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0 992
Q:

If a + a2 + a3  1 = 0, then what is the value of a3 + (1/a)?

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

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1 1037
Q:

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

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

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0 1277
Q:

What is the value of √121 + √12321 + √1234321 + √123454321?

A) 12345 B) 123456
C) 12344 D) 123454
 
Answer & Explanation Answer: C) 12344

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1 1058
Q:

A, B and C invest to start a restaurant. The total investment was Rs 3 lakhs. B invested Rs 50,000 more than A and C invested Rs 25,000 less than B. If the profit at the end of the year was Rs 14,400 then what is C's share of the profit (in Rs)?

A) 3600 B) 4800
C) 6000 D)  7200
 
Answer & Explanation Answer: B) 4800

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0 998
Q:

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

 

A) [(5√3) – 3] B) [(4√3) – 2]
C) [(2√5) – 1] D) [(2√6) – 1]
 
Answer & Explanation Answer: D) [(2√6) – 1]

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0 1133
Q:

α and β are the roots of the quadratic equation x2  x  1 = 0. What is the value of α8 + β8?

A) 47 B) 54
C) 59 D) 68
 
Answer & Explanation Answer: A) 47

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0 890