68 + Interview Questions in Squares And Square Roots in Mathematics

1.	If a perfect square ends with 1 then the square root can be ending with ___ & ___(a) 9 & 2(b) 9 & 1(c) 1 & 8(d) 1 & 2This question was posed to me in homework.The doubt is from Finding Square Roots topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (b) 9 & 1 Easy explanation: When a perfect square ends with 1 its roots can be EITHER ending with 1 or ending with 9. HENCE the OPTIONS other the 9 & 1 are INCORRECT.

Discussion

2.	Find the square root of 961.(a) 31(b) 39(c) 29(d) 21The question was posed to me during an online interview.My query is from Finding Square Roots in division Squares and Square Roots of Mathematics – Class 8
Answer» CORRECT option is (a) 31 To explain I would say: Here the trick of checking the last DIGIT of square and square ROOTS fails because if any square has 1 in one’s place the square ROOT can have either 1 or 9 in its ones place. So here we calculate the square root. After CALCULATING we get the square root as 31.

Discussion

3.	Square root of 16 is ________(a) -4(b) 4(c) 16(d) -16I have been asked this question in final exam.This key question is from Finding Square Roots in portion Squares and Square Roots of Mathematics – Class 8
Answer» Correct answer is (b) 4 Explanation: Since square roots cannot be NEGATIVE the OPTIONS stating -4 &-16 are ruled out. Now we are LEFT with two more options from which the 16 cannot be the answer as the square ROOT of any number cannot be that number itself . So the only answer left is 4. Hence 4 is the correct answer.

Discussion

4.	Square root of 25 is 4.(a) True(b) FalseThe question was asked during an online interview.Origin of the question is Finding Square Roots topic in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct answer is (b) False Explanation: The given statement is MATHEMATICALLY wrong as square root of 25 is 5 and not 4. Hence the correct option would be false. Here is the statement would be that Square root of 16 is 4 then the statement would be TRUE.

Discussion

5.	What is the square roots of a three digit number ending with one?(a) 1(b) 11(c) 121(d) 9I had been asked this question in semester exam.My question comes from Finding Square Roots topic in section Squares and Square Roots of Mathematics – Class 8
Answer» Correct OPTION is (b) 11 To elaborate: If a three digit number which is ending with 1 the square ROOT would be ending with 1 or 9. Here all the options either have 9 or 1 at the ending. The option which has 1 cannot be the ANSWER since the square wouldn’t be a three digit number. Similarly with the options 121 and 9 their square won’t be three digit NUMBERS either. So, the correct answer will be 11, the square of 11 is a three digit number and ends with 1.

Discussion

6.	Find square root of 169.(a) 13(b) 14(c) -14(d) 12This question was posed to me in final exam.My doubt stems from Finding Square Roots topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (a) 13 Explanation: Here we can simply FIND our answer by taking square root of the number \(\sqrt{169}\)=13. There can be some smart ways to find the answer without calculating the roots. A square of number ENDING with 9 is a square of a number ending with 3. There is only one option ending with 3. THEREFORE the correct answer is 13 and the OTHERS are INCORRECT.

Discussion

7.	If (±2)^2=4 then, √4 = ________(a) -2(b) 2(c) 4(d) -4The question was posed to me at a job interview.This key question is from Finding Square Roots in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right option is (b) 2 For explanation I would say: Here the correct answer is 2 and the others are INCORRECT. The options other then 2 cannot be correct because √, this symbol is USED to indicate that the square ROOTS are positive.

Discussion

8.	Square root is _________ function of square.(a) converse(b) inverse(c) polynomial(d) linearThis question was posed to me by my college professor while I was bunking the class.This intriguing question originated from Finding Square Roots in chapter Squares and Square Roots of Mathematics – Class 8
Answer» Correct ANSWER is (B) INVERSE Explanation: Square root is inverse function of square. The statement can be derived by having a look on the graphs of both square and square root. The NATURE of graph of square is parabolic and that of square root is rectangular hyperbola. The other method here can be by observing the POWER which is 2 in case of square and \(\frac{1}{2}\) in case of square root.

Discussion

9.	\(\sqrt{361}\) = ______(a) 21(b) 19(c) 11(d) 29I got this question in my homework.This question is from Square Root in portion Squares and Square Roots of Mathematics – Class 8
Answer» The correct answer is (b) 19 For explanation I WOULD SAY: If we need to find the square root of number 361 we can subtract first 19 odd numbers which would give us 0. From this we can could that 19=\(\sqrt{361}\). HENCE 19 is the correct answer and the others are INCORRECT.

Discussion

10.	These 2×3×7 are prime factors of some number, find the square of that particular number.(a) 1764(b) 1664(c) 1864(d) 1964I have been asked this question in examination.My question is taken from Square Root in section Squares and Square Roots of Mathematics – Class 8
Answer» Right CHOICE is (a) 1764 The explanation: 2 × 3 × 7 = 42. Now we need to find 42^2. When we add first 42 ODD numbers we get, 1764. THEREFORE the CORRECT answer is 1764 and the others are INCORRECT.

Discussion

11.	What would be the square root of 961?(a) 31(b) 32(c) 39(d) 36This question was posed to me in an interview for job.This intriguing question originated from Square Root in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (a) 31 Explanation: Since the square is ending with 1 its root has to END with EITHER 1 or 9. So two options are RULED out and the other two are 31 & 39. When we calculate the square root we find that the square root of 961 is 31. Hence 31 is the correct answer and all OTHERS are incorrect.

Discussion

12.	324= _____________(a) 2×2×9×9(b) 2^2×3^4(c) 4×3×27(d) 12×27I have been asked this question in an interview for job.My question is based upon Square Root topic in chapter Squares and Square Roots of Mathematics – Class 8
Answer» RIGHT option is (b) 2^2×3^4 Easiest explanation: Prime factors are the multiplication of all the prime numbers in order to RECEIVE the desired number at the END. The prime factors of 324 are 2×2×3×3×3×3 (i.e.2^2×3^4). THEREFORE the answer would be 2×2×3×3×3×3 (i.e.2^2×3^4).

Discussion

13.	What are the prime factors of 16?(a) 2×4×2(b) 2×2×2×2(c) 8×2(d) 16×1I got this question in unit test.My enquiry is from Square Root in division Squares and Square Roots of Mathematics – Class 8
Answer» RIGHT answer is (b) 2×2×2×2 The explanation is: Prime FACTORS are the multiplication of all the prime numbers in order to RECEIVE the desired number at the end. Here we have the number to be FACTORIZED as 16=2^4(i.e.2×2×2×2). Therefore the answer would 2^4(i.e.2×2×2×2).

Discussion

14.	There are always two real roots of any number.(a) True(b) FalseThis question was posed to me at a job interview.The question is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (a) TRUE Easy EXPLANATION: Yes, there are more than two roots for every number but only two of them can be REAL others BELONG to the IMAGINARY category. Therefore the given statement is true.

Discussion

15.	What is the square root of 4?(a) -2(b) -3(c) 4(d) -4I got this question by my college professor while I was bunking the class.I'm obligated to ask this question of Square Root in division Squares and Square Roots of Mathematics – Class 8
Answer» Correct choice is (a) -2 Explanation: Here when we calculate the ROOT of 4 we get two VALUES, they are 2 & -2. We have only ONE of the roots as the answer. So, -2 would be the correct answer and others would be incorrect.

Discussion

16.	While taking square roots we cannot include _____ numbers.(a) prime(b) natural(c) whole(d) negativeI got this question in a job interview.My query is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct option is (d) negative For explanation I would SAY: While taking square ROOTS we have to take care that we cannot have REAL roots for negative numbers. The roots of negative numbers are imaginary. Hence the correct option would be negative and the others are WRONG.

Discussion

17.	If area of a square is 144 cm^2, then what is the side?(a) 12 cm(b) \(\sqrt{144}\)m(c) 12 m(d) \(\sqrt{144}\)mmI got this question in quiz.My doubt is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct ANSWER is (a) 12 cm Best explanation: The formula of area of a square, Area=(side)^2 So, in ORDER to find the side where area is given we take square ROOTS on both the sides. Here, 144=x^2 ∴x=12 cm.

Discussion

18.	If we are given the area of a square and we need to find the length of one side, what operation should we carry?(a) Square(b) Cube(c) Take Square root(d) Take Cube rootI have been asked this question in unit test.My doubt stems from Square Root topic in division Squares and Square Roots of Mathematics – Class 8
Answer» The correct ANSWER is (C) TAKE Square root The explanation is: The formula of area of a square, Area=(side)^2 So, in order to find the side where area is given we take square roots on both the SIDES. Therefore square root would be the right answer and the other options would be incorrect.

Discussion

19.	In a right angle ∆ABC, AB=12, BC=5 and Angle ABC=90°. Find AC.(a) 169(b) 13(c) 17(d) 14This question was posed to me in an online interview.I need to ask this question from Pythagorean Triplet in division Squares and Square Roots of Mathematics – Class 8
Answer» The correct option is (B) 13 For explanation: This triangle is a right angled triangle so we can use PYTHAGORAS THEOREM. THEREFORE, we get ∴ AC^2 = AB^2 + BC^2 ∴ AC^2 = 12^2 + 5^2 ∴ AC^2 = 144 + 25 ∴ AC^2 = 169 ∴ AC = 13.

Discussion

20.	In the below figure, ABC is a right angled triangle and the lengths AB = 12, BC = 5, What would be the length of AC?(a) 13(b) 12(c) 5(d) 169The question was asked during an online interview.This intriguing question comes from Pythagorean Triplet topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right option is (a) 13 For explanation: Here the GIVEN triangle is a right angled triangle, we can USE Pythagoras THEOREM. Theorem will help us find the length of side AC. Using Pythagoras Theorem we get, 12^2+5^2= AC^2, AC=13.

Discussion

21.	Which of the following is a Pythagorean triplet?(a) 10, 6 & 8(b) 13, 14 & 15(c) 7, 8 & 10(d) 5, 2 & 3This question was posed to me in an international level competition.Enquiry is from Pythagorean Triplet topic in division Squares and Square Roots of Mathematics – Class 8
Answer» CORRECT answer is (a) 10, 6 & 8 Explanation: Pythagorean TRIPLES are the numbers that follow a CERTAIN pattern. The pattern is that the square of the biggest AMONGST three is the sum of square of other two. This condition is satisfied by only one option i.e. 10, 6 & 8, HENCE this is the correct option and the others are incorrect.

Discussion

22.	Which of the following is not a Pythagorean triplet?(a) 12, 16, 20(b) 21, 28, 35(c) 33, 44, 55(d) 4, 5, 6I had been asked this question in exam.I'm obligated to ask this question of Pythagorean Triplet topic in division Squares and Square Roots of Mathematics – Class 8
Answer» Correct answer is (d) 4, 5, 6 For explanation I would SAY: The OPTION which has 4, 5, 6 is not a Pythagorean triplet, and the other options are the MULTIPLES of it.

Discussion

23.	3, 4 & 5 are not a Pythagorean triplet.(a) True(b) FalseI have been asked this question during an online exam.My doubt stems from Pythagorean Triplet in division Squares and Square Roots of Mathematics – Class 8
Answer» Correct CHOICE is (b) False For EXPLANATION: If we consider 3^2+4^2 to be L.H.S. and 5^2 to be R.H.S. we get, L.H.S.= 3^2+4^2, L.H.S.=25. Now, we TAKE R.H.S. R.H.S.=5^2=25. Hence L.H.S.=R.H.S. Hence the GIVEN TRIPLET is a Pythagorean triplet a

Discussion

24.	3, 4 & 6 is a Pythagorean triplet.(a) True(b) FalseI got this question during a job interview.I'd like to ask this question from Pythagorean Triplet in section Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (B) False The BEST explanation: If we consider 3^2+4^2 to be L.H.S. and 6^2 to be R.H.S. we get, L.H.S.= 3^2+4^2, L.H.S.=25. Now, we TAKE R.H.S. R.H.S.= 6^2=36. L.H.S.≠R.H.S.

Discussion

25.	Pythagoras theorem can only be applied on ________ triangles.(a) equilateral(b) isosceles(c) right angled(d) isosceles right angledThis question was posed to me in semester exam.This interesting question is from Pythagorean Triplet in portion Squares and Square Roots of Mathematics – Class 8
Answer» RIGHT option is (c) right ANGLED The explanation: Pythagoras theorem can only be used on right angles triangles. As a result only the option stating right angled triangles would be CORRECT and the OTHERS would be incorrect.

Discussion

26.	In a right angled triangle if one side forming the right angle is 6 and the hypotenuse is 10. What is the length of the other right angle forming side?(a) 8(b) 10(c) 12(d) 6This question was posed to me by my school principal while I was bunking the class.I want to ask this question from Pythagorean Triplet topic in section Squares and Square Roots of Mathematics – Class 8
Answer» The correct ANSWER is (a) 8 To explain: In a right ANGLE triangle we can use PYTHAGORAS theorem. This theorem states that the square of the hypotenuse is equal to the sum of SQUARES of the other TWO right angle forming sides. Let us assume the one of the sides of the right angled triangle be x. ∴ 6^2+x^2=10^2, ∴ x^2=100-36, ∴ x=8.

Discussion

27.	What would be the square of 11111?(a) 123454321(b) 1234321(c) 12321(d) 121I got this question during an internship interview.My doubt is from Patterns in Squares of Numbers topic in chapter Squares and Square Roots of Mathematics – Class 8
Answer» Right CHOICE is (a) 123454321 To explain: The numbers which have 1 in all the DIGITS SHOW a beautiful pattern. For example: 11^2=121….111^2=12321 and this goes on. This can be very helpful in FINDING squares.

Discussion

28.	Which of the following is the first Pythagorean triplet?(a) 3, 4 & 5(b) 12, 13 & 15(c) 6, 8 & 10(d) 1, 2 & 3The question was asked in a national level competition.I want to ask this question from Pythagorean Triplet in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right ANSWER is (a) 3, 4 & 5 For explanation: Pythagorean triples are the numbers that follow a certain pattern. The pattern is that the square of the biggest amongst three is the SUM of square of other TWO. This condition is satisfied by only one option i.e. 3, 4 & 5, hence this is the correct option and the OTHERS are incorrect.

Discussion

29.	(a-1)×(a+1)=_______(a) a^2-1(b) a^2+1(c) a^2(d) a^2+2The question was asked in exam.Enquiry is from Patterns in Squares of Numbers topic in section Squares and Square Roots of Mathematics – Class 8
Answer» CORRECT answer is (a) a^2-1 The best explanation: We have (a-1)×(a+1). Opening the brackets, we get, (a-1)×(a+1)=(a^2+a-a-1)=(a^2-1). HENCE, we CONCLUDE this (a-1)×(a+1) to be the correct answer.

Discussion

30.	A square is formed by sum of two _____________(a) Natural numbers(b) Consecutive Natural numbers(c) Alternate Natural numbers(d) Consecutive Whole numbersThe question was asked in an internship interview.My query is from Patterns in Squares of Numbers in division Squares and Square Roots of Mathematics – Class 8
Answer» The correct CHOICE is (b) Consecutive Natural numbers The EXPLANATION is: When we ADD TWO consecutive natural numbers, we get a square (This happens in a few cases and not all cases). For example: 3^2=4+5=9.

Discussion

31.	Which is the lower consecutive natural number forming the square 13?(a) 85(b) 84(c) 83(d) 82This question was posed to me in my homework.This intriguing question originated from Patterns in Squares of Numbers in division Squares and Square Roots of Mathematics – Class 8
Answer» Right option is (b) 84 Easy explanation: The square of number 13 is formed by two consecutive natural numbers and they are 84 & 85. If we NEED to find the lower number (i.e.84 in this CASE) we can calculate like this, \(\frac{13^2-1}{2}=\frac{169-1}{2}=\frac{168}{2}\)=84.

Discussion

32.	On subtracting first 25 odd numbers from first 30 odd numbers we get _____(a) 5^2(b) 375(c) 5(d) 275I had been asked this question in unit test.The origin of the question is Patterns in Squares of Numbers topic in division Squares and Square Roots of Mathematics – Class 8
Answer» Correct option is (c) 5 To ELABORATE: If we add the FIRST 25 odd numbers, we get 625 (i.e.25^2) and when we add first 30 odd numbers, we get 900 (i.e.30^2). When we calculate the DIFFERENCE between the two, we get 275. Hence 275 is the correct answer and the others are incorrect.

Discussion

33.	We get the square of _____ number if we add first 11 odd numbers.(a) 11(b) 12(c) 5(d) 13I got this question in exam.Query is from Patterns in Squares of Numbers in chapter Squares and Square Roots of Mathematics – Class 8
Answer» Correct ANSWER is (a) 11 Easy explanation: There is an INTERESTING PATTERN in squares, when we add first N odd numbers we get n^2. So here when we add the first eleven odd numbers, we get 11^2. Hence the correct answer WOULD be 11^2 and the other options would be incorrect.

Discussion

34.	In some cases, there can be less than two non-square numbers between two square numbers.(a) True(b) FalseI got this question in a job interview.Query is from Patterns in Squares of Numbers topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» CORRECT option is (a) True For explanation: There are two CASES where there are LESS than two non-square numbers between two square numbers, the cases are as follows. Case 1:- 0^2 & 1^2 Here there is not a single NUMBER between squares. Case 2:- 1^2 & 2^2 Here there are two numbers between the squares. Hence the given statement is true and cannot be false.

Discussion

35.	When we add fourth and fifth triangular number we get ______(a) 5^2(b) 6^2(c) 25^2(d) 25^3I got this question by my school principal while I was bunking the class.This intriguing question originated from Patterns in Squares of Numbers topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right answer is (a) 5^2 Easiest explanation: The fourth and fifth triangular numbers are 10 & 15. 10 + 15 = 25 = 5^2. Therefore 5^2 is the CORRECT answer and the other options are incorrect. The options should be read carefully as the options are very close.

Discussion

36.	There are _____ non-square numbers between 65^2 & 66^2.(a) 130(b) 65(c) 131(d) 129The question was asked in my homework.The above asked question is from Patterns in Squares of Numbers in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct answer is (c) 131 The EXPLANATION is: In these TYPES of questions we can USE the shortcut in ORDER to reach the answer quickly. We can use the formula (2n+1). When we use this formula we consider one of the numbers as n and the hence the second number is(n+1). Here n=65. Therefore when we substitute n=65 in the formula we get, [2×(65)+1]=131.

Discussion

37.	What kind of figure does the number 15 show in triangular representation?(a) Triangular form with base 5(b) Triangular form with base 4(c) Triangular form with base 3(d) Triangular form with peak 1I had been asked this question by my school principal while I was bunking the class.Origin of the question is Patterns in Squares of Numbers topic in section Squares and Square Roots of Mathematics – Class 8
Answer» Correct ANSWER is (a) Triangular FORM with BASE 5 The best explanation: Triangular numbers are the numbers which form a triangle when arranged in increasing form. When the number 15 is arranged in increasing form the base of the triangle has 5 dots, which goes on DECREASING and reaches the PEAK upto 1.

Discussion

38.	Find the square of 225.(a) 505625(b) 49625(c) 50625(d) 51625The question was posed to me in an internship interview.This is a very interesting question from Finding the Square of a Number in section Squares and Square Roots of Mathematics – Class 8
Answer» Right choice is (c) 50625 Easy explanation: There is a beautiful pattern followed by all the numbers ending with 5. We can GET the square of any number ending with 5 without actually CALCULATING it. All the numbers ending with 5 shows 25 at the end of their squares, and the other PLACES can be filled by multiplying the next consecutive number. For example: 225^2 = (22×23)25 i.e.50625 (the step SHOWN is just for understanding).

Discussion

39.	Find the square of 25.(a) 625(b) 525(c) 635(d) 615I have been asked this question by my college director while I was bunking the class.This interesting question is from Finding the Square of a Number topic in division Squares and Square Roots of Mathematics – Class 8
Answer» The correct answer is (a) 625 Easiest explanation: There is a beautiful pattern followed by all the numbers ENDING with 5. We can get the square of any number ending with 5 WITHOUT actually calculating it. All the numbers ending with 5 shows 25 at the end of their squares, and the other places can be filled by MULTIPLYING the next CONSECUTIVE number. For EXAMPLE: 25^2 = (2×3)25 i.e.625 (the step shown is just for understanding).

Discussion

40.	Express the square of 11 in terms of sum of odd numbers.(a) 1+3+5+7+9+11+13+15+17+19+21(b) 1+2+3+5+7+9+11+13+15+17+19(c) 1+3+5+7+9+11+13+15+17+21+23(d) 1+2+3+4+5+6+7+8+9+10+11+12I had been asked this question during an online interview.I need to ask this question from Finding the Square of a Number topic in chapter Squares and Square Roots of Mathematics – Class 8
Answer» Right CHOICE is (a) 1+3+5+7+9+11+13+15+17+19+21 Explanation: The correct OPTION is the one with the FIRST 11 odd numbers as the sum of first N odd numbers gives n^2. Hence the correct ANSWER is the one with the first 11 odd number.

Discussion

41.	34^2=_____(a) 1156(b) 1256(c) 1356(d) 1456This question was posed to me in quiz.My question comes from Finding the Square of a Number topic in portion Squares and Square Roots of Mathematics – Class 8
Answer» CORRECT answer is (a) 1156 Easiest explanation: In ORDER to calculate the square of 34 we use the formula, (a+b)^2, where we CONSIDER a=30 and b=4 Therefore (30+4)^2 = 30^2+2×30×4+4^2 Therefore (30+4)^2 = 900+240+16 Therefore (30+4)^2 = 1156.

Discussion

42.	How many numbers lie between the squares of 12 and 13?(a) 25(b) 26(c) 24(d) 28I have been asked this question during an interview.Asked question is from Finding the Square of a Number in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right answer is (a) 25 The BEST explanation: If we NEED to find the number of non-square numbers, we can use the FORMULA (2n+1). Here when we apply this formula we get, (2×12+1)=25. Hence the answer WOULD be 25 and the other options would be INCORRECT.

Discussion

43.	Calculate the square of 201.(a) 40401(b) 39393(c) 40426(d) 41042The question was asked during an interview.I'm obligated to ask this question of Finding the Square of a Number in division Squares and Square Roots of Mathematics – Class 8
Answer» Correct option is (a) 40401 For explanation I would say: In the multiple choice QUESTION student can eliminate three options by mere observation. The student should notice that option 41042 contains 2 in its UNIT place so it cannot be a SQUARE of number ending with 1. Similarly, the other two options 39393 & 40426 ending with 3 and 6 WHEREAS square of numbers ending with 1 have only 1 in its unit place.

Discussion

44.	If a student uses (a-b)^2 to calculate the square of a number, then the number is _______(a) 121(b) 112(c) 199(d) 201I had been asked this question in final exam.This interesting question is from Finding the Square of a Number in portion Squares and Square Roots of Mathematics – Class 8
Answer» Right OPTION is (c) 199 Explanation: A STUDENT uses this variant of the formula for the numbers which are near 0. Here there is only one number which is close to 0 and hence 199 is the correct ANSWER. The other options also can be solved USING this method but that would be complicated.

Discussion

45.	What can be general formula to find square of any number?(a) (a&pm;b)^2(b) a^2(c) a(d) bI got this question during an interview.My question comes from Finding the Square of a Number in chapter Squares and Square Roots of Mathematics – Class 8
Answer» Right choice is (a) (a&pm;B)^2 Easiest EXPLANATION: The general formula of FINDING square of any number is (a&pm;b)^2. Option a^2 cannot be correct because if we need to find square of number such as 23 the METHOD USING the general formula (a&pm;b)^2 would be more easier. Hence the correct option is (a&pm;b)^2.

Discussion

46.	89^2= ____(a) (90-1)^2(b) 90^2(c) 1^2(d) 9^2The question was posed to me in an international level competition.My question is based upon Finding the Square of a Number in chapter Squares and Square Roots of Mathematics – Class 8
Answer» The correct OPTION is (a) (90-1)^2 For explanation I would SAY: If we have to FIND the square of the number which is near 0 we use the SECOND variation i.e. (90-1)^2. This would help us and make the calculations easier. Therefore (90-1)^2= 90^2-2×90×1+1^2 Therefore (90-1)^2= 8100-180+1 Therefore (90-1)^2=7921.

Discussion

47.	How can one represent the square of 103?(a) (100+3)^2(b) (100-3)^2(c) (100+3)(d) (100-3)The question was posed to me by my college professor while I was bunking the class.The above asked question is from Finding the Square of a Number topic in division Squares and Square Roots of Mathematics – Class 8
Answer» The correct option is (a) (100+3)^2 Easiest EXPLANATION: The number 103 can be represented in form 100+3, this will help us to calculate the square of the number. This METHOD would help us ELIMINATE the TRADITIONAL method of multiplying the number with itself.

Discussion

48.	What would be the square of 111?(a) 1234321(b) 12321(c) 121(d) 1The question was posed to me at a job interview.I need to ask this question from Patterns in Squares in division Squares and Square Roots of Mathematics – Class 8
Answer» Right answer is (b) 12321 Best explanation: The squares of all the NUMBERS with only 1 as its digit in all its places have a SPECIAL pattern. If we need to find the SQUARE of number 11, we can write 121. Similarly, square of number 111 is 12321. Therefore, we have the answer without calculating this huge number.

Discussion

49.	_____ is not a triangular number.(a) 7(b) 6(c) 10(d) 3I have been asked this question by my school teacher while I was bunking the class.My enquiry is from Patterns in Squares in portion Squares and Square Roots of Mathematics – Class 8
Answer» The correct choice is (a) 7 For EXPLANATION I WOULD SAY: Triangular NUMBERS are the numbers which when arranged in increasing order forms shape of triangle. Here, 3, 6, 10 are triangular numbers. In the given options, 7 is not a triangular number.

Discussion

50.	There are ______ non-squares numbers in between 9^2 & 10^2.(a) 15(b) 11(c) 19(d) 9This question was addressed to me in class test.Query is from Patterns in Squares in division Squares and Square Roots of Mathematics – Class 8
Answer» Right ANSWER is (c) 19 The explanation: The squares of the NUMBERS 9 & 10 are 81 & 100 respectively. There are 19 numbers between 81 and 100. Therefore, the CORRECT answer would be 19 and the others would be incorrect.

Discussion

Explore topic-wise InterviewSolutions in .

If a perfect square ends with 1 then the square root can be ending with ___ & ___(a) 9 & 2(b) 9 & 1(c) 1 & 8(d) 1 & 2This question was posed to me in homework.The doubt is from Finding Square Roots topic in portion Squares and Square Roots of Mathematics – Class 8

Find the square root of 961.(a) 31(b) 39(c) 29(d) 21The question was posed to me during an online interview.My query is from Finding Square Roots in division Squares and Square Roots of Mathematics – Class 8

Square root of 16 is ________(a) -4(b) 4(c) 16(d) -16I have been asked this question in final exam.This key question is from Finding Square Roots in portion Squares and Square Roots of Mathematics – Class 8

Square root of 25 is 4.(a) True(b) FalseThe question was asked during an online interview.Origin of the question is Finding Square Roots topic in chapter Squares and Square Roots of Mathematics – Class 8

What is the square roots of a three digit number ending with one?(a) 1(b) 11(c) 121(d) 9I had been asked this question in semester exam.My question comes from Finding Square Roots topic in section Squares and Square Roots of Mathematics – Class 8

Find square root of 169.(a) 13(b) 14(c) -14(d) 12This question was posed to me in final exam.My doubt stems from Finding Square Roots topic in portion Squares and Square Roots of Mathematics – Class 8

If (±2)^2=4 then, √4 = ________(a) -2(b) 2(c) 4(d) -4The question was posed to me at a job interview.This key question is from Finding Square Roots in portion Squares and Square Roots of Mathematics – Class 8

Square root is _________ function of square.(a) converse(b) inverse(c) polynomial(d) linearThis question was posed to me by my college professor while I was bunking the class.This intriguing question originated from Finding Square Roots in chapter Squares and Square Roots of Mathematics – Class 8

\(\sqrt{361}\) = ______(a) 21(b) 19(c) 11(d) 29I got this question in my homework.This question is from Square Root in portion Squares and Square Roots of Mathematics – Class 8

These 2×3×7 are prime factors of some number, find the square of that particular number.(a) 1764(b) 1664(c) 1864(d) 1964I have been asked this question in examination.My question is taken from Square Root in section Squares and Square Roots of Mathematics – Class 8

What would be the square root of 961?(a) 31(b) 32(c) 39(d) 36This question was posed to me in an interview for job.This intriguing question originated from Square Root in chapter Squares and Square Roots of Mathematics – Class 8

324= _____________(a) 2×2×9×9(b) 2^2×3^4(c) 4×3×27(d) 12×27I have been asked this question in an interview for job.My question is based upon Square Root topic in chapter Squares and Square Roots of Mathematics – Class 8

What are the prime factors of 16?(a) 2×4×2(b) 2×2×2×2(c) 8×2(d) 16×1I got this question in unit test.My enquiry is from Square Root in division Squares and Square Roots of Mathematics – Class 8

There are always two real roots of any number.(a) True(b) FalseThis question was posed to me at a job interview.The question is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8

What is the square root of 4?(a) -2(b) -3(c) 4(d) -4I got this question by my college professor while I was bunking the class.I'm obligated to ask this question of Square Root in division Squares and Square Roots of Mathematics – Class 8

While taking square roots we cannot include _____ numbers.(a) prime(b) natural(c) whole(d) negativeI got this question in a job interview.My query is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8

If area of a square is 144 cm^2, then what is the side?(a) 12 cm(b) \(\sqrt{144}\)m(c) 12 m(d) \(\sqrt{144}\)mmI got this question in quiz.My doubt is from Square Root in chapter Squares and Square Roots of Mathematics – Class 8

In a right angle ∆ABC, AB=12, BC=5 and Angle ABC=90°. Find AC.(a) 169(b) 13(c) 17(d) 14This question was posed to me in an online interview.I need to ask this question from Pythagorean Triplet in division Squares and Square Roots of Mathematics – Class 8

Which of the following is a Pythagorean triplet?(a) 10, 6 & 8(b) 13, 14 & 15(c) 7, 8 & 10(d) 5, 2 & 3This question was posed to me in an international level competition.Enquiry is from Pythagorean Triplet topic in division Squares and Square Roots of Mathematics – Class 8

Which of the following is not a Pythagorean triplet?(a) 12, 16, 20(b) 21, 28, 35(c) 33, 44, 55(d) 4, 5, 6I had been asked this question in exam.I'm obligated to ask this question of Pythagorean Triplet topic in division Squares and Square Roots of Mathematics – Class 8

3, 4 & 5 are not a Pythagorean triplet.(a) True(b) FalseI have been asked this question during an online exam.My doubt stems from Pythagorean Triplet in division Squares and Square Roots of Mathematics – Class 8

3, 4 & 6 is a Pythagorean triplet.(a) True(b) FalseI got this question during a job interview.I'd like to ask this question from Pythagorean Triplet in section Squares and Square Roots of Mathematics – Class 8

Pythagoras theorem can only be applied on ________ triangles.(a) equilateral(b) isosceles(c) right angled(d) isosceles right angledThis question was posed to me in semester exam.This interesting question is from Pythagorean Triplet in portion Squares and Square Roots of Mathematics – Class 8

What would be the square of 11111?(a) 123454321(b) 1234321(c) 12321(d) 121I got this question during an internship interview.My doubt is from Patterns in Squares of Numbers topic in chapter Squares and Square Roots of Mathematics – Class 8

Which of the following is the first Pythagorean triplet?(a) 3, 4 & 5(b) 12, 13 & 15(c) 6, 8 & 10(d) 1, 2 & 3The question was asked in a national level competition.I want to ask this question from Pythagorean Triplet in portion Squares and Square Roots of Mathematics – Class 8

(a-1)×(a+1)=_______(a) a^2-1(b) a^2+1(c) a^2(d) a^2+2The question was asked in exam.Enquiry is from Patterns in Squares of Numbers topic in section Squares and Square Roots of Mathematics – Class 8

Which is the lower consecutive natural number forming the square 13?(a) 85(b) 84(c) 83(d) 82This question was posed to me in my homework.This intriguing question originated from Patterns in Squares of Numbers in division Squares and Square Roots of Mathematics – Class 8

On subtracting first 25 odd numbers from first 30 odd numbers we get _____(a) 5^2(b) 375(c) 5(d) 275I had been asked this question in unit test.The origin of the question is Patterns in Squares of Numbers topic in division Squares and Square Roots of Mathematics – Class 8

We get the square of _____ number if we add first 11 odd numbers.(a) 11(b) 12(c) 5(d) 13I got this question in exam.Query is from Patterns in Squares of Numbers in chapter Squares and Square Roots of Mathematics – Class 8

In some cases, there can be less than two non-square numbers between two square numbers.(a) True(b) FalseI got this question in a job interview.Query is from Patterns in Squares of Numbers topic in portion Squares and Square Roots of Mathematics – Class 8

There are _____ non-square numbers between 65^2 & 66^2.(a) 130(b) 65(c) 131(d) 129The question was asked in my homework.The above asked question is from Patterns in Squares of Numbers in chapter Squares and Square Roots of Mathematics – Class 8

Find the square of 225.(a) 505625(b) 49625(c) 50625(d) 51625The question was posed to me in an internship interview.This is a very interesting question from Finding the Square of a Number in section Squares and Square Roots of Mathematics – Class 8

Find the square of 25.(a) 625(b) 525(c) 635(d) 615I have been asked this question by my college director while I was bunking the class.This interesting question is from Finding the Square of a Number topic in division Squares and Square Roots of Mathematics – Class 8

34^2=_____(a) 1156(b) 1256(c) 1356(d) 1456This question was posed to me in quiz.My question comes from Finding the Square of a Number topic in portion Squares and Square Roots of Mathematics – Class 8

How many numbers lie between the squares of 12 and 13?(a) 25(b) 26(c) 24(d) 28I have been asked this question during an interview.Asked question is from Finding the Square of a Number in portion Squares and Square Roots of Mathematics – Class 8

Calculate the square of 201.(a) 40401(b) 39393(c) 40426(d) 41042The question was asked during an interview.I'm obligated to ask this question of Finding the Square of a Number in division Squares and Square Roots of Mathematics – Class 8

If a student uses (a-b)^2 to calculate the square of a number, then the number is _______(a) 121(b) 112(c) 199(d) 201I had been asked this question in final exam.This interesting question is from Finding the Square of a Number in portion Squares and Square Roots of Mathematics – Class 8

What can be general formula to find square of any number?(a) (a&pm;b)^2(b) a^2(c) a(d) bI got this question during an interview.My question comes from Finding the Square of a Number in chapter Squares and Square Roots of Mathematics – Class 8

89^2= ____(a) (90-1)^2(b) 90^2(c) 1^2(d) 9^2The question was posed to me in an international level competition.My question is based upon Finding the Square of a Number in chapter Squares and Square Roots of Mathematics – Class 8

What would be the square of 111?(a) 1234321(b) 12321(c) 121(d) 1The question was posed to me at a job interview.I need to ask this question from Patterns in Squares in division Squares and Square Roots of Mathematics – Class 8

_____ is not a triangular number.(a) 7(b) 6(c) 10(d) 3I have been asked this question by my school teacher while I was bunking the class.My enquiry is from Patterns in Squares in portion Squares and Square Roots of Mathematics – Class 8

There are ______ non-squares numbers in between 9^2 & 10^2.(a) 15(b) 11(c) 19(d) 9This question was addressed to me in class test.Query is from Patterns in Squares in division Squares and Square Roots of Mathematics – Class 8

If a perfect square ends with 1 then the square root can be ending with _ & _(a) 9 & 2(b) 9 & 1(c) 1 & 8(d) 1 & 2This question was posed to me in homework.The doubt is from Finding Square Roots topic in portion Squares and Square Roots of Mathematics – Class 8