The sum of 112 + 122 + .......+212 = ?  from Quantitative Apti

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If a3b = abc  = 180,  a, b, c are positive integers, then the value of c is

  • 110

  • 1

  • 4

  • 4

1054 Views

2.

Insert the missing number
3, 18, 12, 72, 66, 396 ?

  • 300

  • 380

  • 350

  • 350

156 Views

3. 2 cube root of 40 space minus space 4 cube root of 320 space plus space 3 cube root of 625 space minus space 3 cube root of 5 is equal to
  • negative 2 cube root of 340
  • 0

  • cube root of 340
  • cube root of 340
180 Views

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4.

The sum of 112 + 122 + .......+212 = ? 

  • 2926

  • 3017

  • 3215

  • 3215


A.

2926

1 squared space plus space 2 squared space plus space 3 squared plus space...... plus straight n squared space equals space fraction numerator straight n left parenthesis straight n plus 1 right parenthesis thin space left parenthesis 2 straight n plus 1 right parenthesis over denominator 6 end fraction
therefore space space space 11 squared space plus space 12 squared space plus space..... plus 21 squared
equals space left parenthesis 1 squared space plus space 2 squared space plus space 3 squared space plus space.... plus 21 squared right parenthesis space space minus space left parenthesis 1 squared space plus space 2 squared space plus....... plus 10 squared right parenthesis

equals space fraction numerator 21 left parenthesis 21 plus 1 right parenthesis thin space left parenthesis 42 plus 1 right parenthesis over denominator 6 end fraction space minus space fraction numerator 10 space left parenthesis 10 plus 1 right parenthesis thin space left parenthesis 20 plus 1 right parenthesis over denominator 6 end fraction
equals space fraction numerator 21 space cross times space 22 space cross times space 43 over denominator 6 end fraction space minus space fraction numerator 10 space cross times space 11 space cross times space 21 over denominator 6 end fraction space equals space 3311 space minus space 385 space equals space 2926
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5.

In four consecutive prime numbers that are in ascending order, the product of the first three is 385 and that of the last three is 1001. The largest given prime number is

  • 11

  • 13

  • 17

  • 17

212 Views

6.

H.C.F. of 2 over 3 comma space space 4 over 5 space and space space 6 over 7 is

  • 48 over 105
  • 2 over 105
  • 1 over 105
  • 1 over 105
216 Views

7.

There are five bells which start ringing together at intervals of 3, 6, 9, 12 and 15 seconds respectively. In 36 minutes, how many times will the bells ring simultaneously?

  • 13

  • 12

  • 6

  • 6

513 Views

8.

n is a whole number which when divided by 4 gives the remainder 3. The remainder when 2n is divided by 4 is

  • 1

  • 2

  • 3

  • 3

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9.

A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be

  • 12.30 at night, after 130 days

  • 12 noon, after 135 days

  • 1.30 at night, after 130 days
  • 1.30 at night, after 130 days
1093 Views

10.

A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally ₹ 38,000 more than B at the end of a year, then the profit is

  • ₹ 28,000

  • ₹ 2,80,000

  • ₹ 1,05,000

  • ₹ 1,05,000

625 Views

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