CTET Solved Paper MCQ - UPTET December 2016

66 The least number to be added to make 269 a perfect square is

Two perfect square number which are nearest to 269 are 225 and 289.
i.e 15 = 225
17 = 289
We have to add least number to 269,
∴ 289 - 269 = 20
Thus, least number to be added to 269 to make it a perfect square i.e.289 is 20.

67 The first day of year 2003 was Wednesday. What would have been the last day of year 2005?

First day of 2003 was Wednesday.
Since 2003 was not a leap year, Therefore last day of 2003 was Wednesday.
Similarly, first day of 2004 was Thursday.
∴ Last day of 2004 was Friday [∵ 2004 was a leap year]
Now, first day of 2005 was Saturday and Last day of 2005 was Saturday. [∵ 2005 was not a leap year]

68 HCF of is

69 Value of ₹57 and 75 paise in paise is

In 1 Rupee = 100 paise
∴ 57 Rupees = 57 x l00 paise = 5700 paise
Total value of ₹ 57 and 75 paise = (5700 + 75) paise = 5775 paise

70 The digit at unit place of the number 3⁹⁹ - 3⁵⁰ is

Unit digit of 3⁹⁹
Divide the index 99 by 4,
⇒

, we get remainder 3.
Thus, unit digit of 3⁹⁹ = Unit digit of 3³ = 7
Unit digit of 3⁵⁰
Again, divide the index 50 by 4,
⇒

, we get remainder 2
Thus, unit digit of 3⁵⁰ = unit digit of 3² = 9
Now, by subtracting the unit digit's of 3⁹⁹ and 3⁵⁰, we get the answer.
= 7 - 9
= 8 [carry over of 7]
Thus, unit digit of the number 3⁹⁹ - 3⁵⁰ is 8.

CTET Solved Paper MCQ - UPTET December 2016

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