Algebra

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Question
SSCCGLENQA12042498

A complete factorization of left parenthesis straight x squared plus 64 right parenthesis is

  • left parenthesis straight x squared plus 8 right parenthesis squared
  • left parenthesis straight x squared plus 8 right parenthesis thin space left parenthesis straight x squared minus 8 right parenthesis
  • left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x minus 8 right parenthesis
  • left parenthesis straight x squared plus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis

Solution

D.

left parenthesis straight x squared plus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis WiredFaculty
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Question
SSCCGLENQA12042286

A man loses 20 1 half percent sign of his money and after spending 80% of the remainder, he is left with ₹ 159. How much did he have at first?

  • ₹ 500

  • ₹ 800

  • ₹ 1000

  • ₹ 1200

Solution

C.

₹ 1000

Let the money be ₹ x.
According to the question,
               [(100 - 20.5)% of x] of (100 - 80)% = 159
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Question
SSCCGLENQA12042357

Among below expressions which one can be expressed as the difference of two cubic expressions?

  • straight x cubed plus straight y cubed plus 3 straight x plus 3 straight y
  • straight x cubed plus 2 straight x squared plus 3 straight x plus straight x squared
  • straight x cubed plus 3 straight x squared plus 3 straight x minus 2
  • straight x cubed plus 3 straight x squared plus 3 straight x minus 7

Solution

D.

straight x cubed plus 3 straight x squared plus 3 straight x minus 7

Question
SSCCGLENQA12042835

Find the sum of:
open parentheses 1 minus fraction numerator 1 over denominator straight n plus 1 end fraction close parentheses space plus space open parentheses 1 minus fraction numerator 2 over denominator straight n plus 1 end fraction close parentheses space plus space open parentheses 1 minus fraction numerator 3 over denominator straight n plus 1 end fraction close parentheses plus...... open parentheses 1 minus fraction numerator straight n over denominator straight n plus 1 end fraction close parentheses

  • n

  • 1 half straight n
  • (n + 1)

  • 1 half left parenthesis straight n plus 1 right parenthesis

Solution

B.

1 half straight n open parentheses 1 minus fraction numerator 1 over denominator straight n plus 1 end fraction close parentheses plus space open parentheses 1 minus fraction numerator 2 over denominator straight n plus 1 end fraction close parentheses plus open parentheses 1 minus fraction numerator 3 over denominator straight n plus 1 end fraction close parentheses space plus...... open parentheses 1 minus fraction numerator straight n over denominator straight n plus 1 end fraction close parentheses
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Question
SSCCGLENQA12042080

For two positive numbers a and b, if a2 + b2 = 24 and ab = 6, then (a3 + b3) is equal to

  • 96

  • 10

  • 102

  • 108

Solution

D.

108

a2 + b2 = 24  and ab = 6

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