Without doing any calculation, find the numbers which are surely not perfect squares. - 153
- 257
- 408
- 441
- 153
- 257
- 408
- 441
Solution and Explanation
The perfect squares of a number can end with any of the digits \(0, 1, 4, 5, 6\), or \(9\) at unit's place.
Also, a perfect square will end with even number of zeroes, if any.
(i) Since the number \(153\) has its unit's place digit as \(3\), it is not a perfect square.
(ii) Since the number \(257\) has its unit's place digit as \(7\), it is not a perfect square.
(iii) Since the number \(408\) has its unit's place digit as \(8\), it is not a perfect square.
(iv) Since the number \(441\) has its unit's place digit as \(1\), it is a perfect square.
Top Questions on Square Roots
- The sum of squares of roots of $ |x - 2|^2 - |x - 2| - 2 = 0 $ and $ x^2 - 2|x - 3| - 5 = 0 $ equals to:
- JEE Main - 2025
- Mathematics
- Square Roots
- The value of \( \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} \) is:
- JEECUP - 2024
- Mathematics
- Square Roots
- If the equation \(3x^2 – 10x + 2p\) = 0 has equal roots then the value of p is –
- CUET (PG) - 2023
- Mathematics
- Square Roots
- If x=1 is a common root of ax2+ax+2=0 and x2+x+b=0, then the value of ab is
- AP POLYCET - 2020
- Mathematics
- Square Roots
- \(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\) ; \(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\) implies \(x=,y=\)
- AP POLYCET - 2019
- Mathematics
- Square Roots
Questions Asked in CBSE Class VIII exam
- When he felt the earthquake, do you think Ignesious immediately worried about a tsunami? Give reasons for your answer. Which sentence in the text tells you that the Ignesious family did not have any time to discuss and plan their course of action after the tsunami struck?
- CBSE Class VIII
- The Tsunami
Underline the verbs and arrange them in two columns, Past and Earlier past.
(a) My friends set out to see the caves in the next town, but I stayed at home, because I had seen them already.
(b) When they arrived at the station, their train had left. They came back home, but by that time I had gone out to see a movie!
(c) So they sat outside and ate the lunch I had packed for them.
(d) By the time I returned, they had fallen asleep!
Past Earlier Past - CBSE Class VIII
- The Best Christmas Present in the world
- In the tsunami 150,000 people died. How many animals died?
- CBSE Class VIII
- The Tsunami
- Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q
- CBSE Class VIII
- Addition and Subtraction of Algebraic Expressions
- Identify the part which vibrates to produce sound in the following instruments.
- Dholak
- Sitar
- Flute
- CBSE Class VIII
- Sound is Produced by a Vibrating Body