CTET Solved Paper - UPTET December 2016
66. The least number to be added to make 269 a perfect square is
- Option : D
- Explanation : (D) 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?
- Option : D
- Explanation : (D) 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]
69. Value of ₹57 and 75 paise in paise is
- Option : D
- Explanation : (D) 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
- Option : D
- Explanation : (D) 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.
