[SSC CGL 2020]*SSC CGL Quantitative Aptitude 24 August 2021 : Shift 2 Question and Solutions in English

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24 August 2021 : Shift 2 (English)



Question. 1.

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Avinash has 20% less coins of different countries than Gaurav has. Gaurav has 40% more such coins than Chetan has. By what percent the number of coins which Chetan has is less than the number of coins which Avinash has? (correct to one decimal place) 

  1. 10.5
  2. 10.6
  3. 12
  4. 10.7

Answer (Detailed Solution & Explanation Below)

Option 4 : 10.7

Solution & Explanation

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Given:

Avinash has 20% less coins of different countries than Gaurav has.

Gaurav has 40% more such coins than Chetan has.

Concept used:

Application of percentage

Calculation:

Let Chetan has 100P coins.

So, the number of coins Gaurav has = 100P + (100P × 40%) = 140P

So, the number of coins Avinash has = 140P - (140P × 20%) = 112P

Now, the number of coins Chetan less has than Anivash = (112P - 100P) = 12P

Then,

the percentage = (12P/112P) × 100% ≈ 10.7%

∴ By 10.7% the number of coins that Chetan has is less than the number of coins that Avinash has.


Question. 2.

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If x - 2/x = 4 then find the value of x2 + 4/x2

  1. 16
  2. 18
  3. 20
  4. 22

Answer (Detailed Solution & Explanation Below)

Option 3 : 20

Solution & Explanation

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Given

x - 2/x = 4

Formula used

(a - b)2 = a2 + b2 - 2ab

Calculation:

x - 2/x = 4

Squaring both side

⇒ x2 + 4/x2 - 4 = 16

⇒ x2 + 4/x2 = 20

∴ The required answer is 20.

Answer (Detailed Solution & Explanation Below)

Option 1 : 17/2

Solution & Explanation

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