MCQ 511 Mark
The perfect square number out of $2, 3, 4$ and $5$ is:
- A$2$
- B$3$
- ✓$4$
- D$5$
Answer
View full question & answer→Correct option: C.
$4$
$4 = 2 \times 2 = 22$
Questions · Page 2 of 5
M.C.Q. [1 Marks Each]
MCQ 521 Mark
The value of $1+\sqrt{\frac{0.01}{1}}-\sqrt{0.01}$ is close to:
- A$0.6$
- B$1.7$
- C$1.1$
- ✓$1.6$
Answer
View full question & answer→Correct option: D.
$1.6$
$1.6$
MCQ 531 Mark
$196$ is the square of:
- A$11$
- B$12$
- ✓$14$
- D$16$
Answer
View full question & answer→Correct option: C.
$14$
Square of $11 = 11 \times 11 = 12$
Square of $12 = 12 \times 12 = 144$
Square of $14 = 14 \times 14 = 196$
Clearly, $196$ is the square of $14$
MCQ 541 Mark
What is the square root of $79.21?$
- ✓$8.9$
- B$9.8$
- C$8.4$
- D$8.7$
Answer
View full question & answer→Correct option: A.
$8.9$
The square root of $79.21$ is $8.9$
MCQ 551 Mark
Tick $(\checkmark)$ the correct answer of the following:
Which of the following cannot be the unit digit of a perfect square number?
Which of the following cannot be the unit digit of a perfect square number?
- A$6$
- B$1$
- C$9$
- ✓$8$
Answer
View full question & answer→Correct option: D.
$8$
$8$, as the number with $8$ in the end cannot be perfect square.
MCQ 561 Mark
What will be the number of zeros in the square of $60?$
- A$1$
- ✓$2$
- C$3$
- DNone of these.
Answer
View full question & answer→Correct option: B.
$2$
$2$
MCQ 571 Mark
The smallest number by which $48$ should be multiplied so as to get a perfect square is:
- A$2$
- ✓$3$
- C$4$
- D$5$
Answer
View full question & answer→Correct option: B.
$3$
B. $3$
Solution:
$48 \times 3 = 144 = 12^2$
Solution:
$48 \times 3 = 144 = 12^2$
MCQ 581 Mark
Tick $(\checkmark)$ the correct answer of the following:
Which of the following is the square of an odd number?
Which of the following is the square of an odd number?
- A$2116$
- B$3844$
- ✓$1369$
- D$2500$
Answer
View full question & answer→Correct option: C.
$1369$
We know that the square of an odd number is also an odd number.
$\begin{array}{c|c}&37\\\hline3&\overline{13}\ \overline{69}\\&\ \ 9\ \ \ \ \ \\\hline67&\ \ 469\\&\ \ \ \ 469\\\hline&\ \ \ \ \ \times\\\end{array}$
$1369$ is the square of an odd number.
MCQ 591 Mark
What could be the possible one’s digit of the square root of $576?$
- ✓$4, 6$
- B$5, 7$
- C$1, 8$
- D$2, 9$
Answer
View full question & answer→Correct option: A.
$4, 6$
$4 \times 4 = 16$
$6 \times 6 = 36$
MCQ 601 Mark
The square of which of these will have $6$ at the unit place?
- ✓$16^2$
- B$15^2$
- C$19^2$
- D$17^2$
Answer
View full question & answer→Correct option: A.
$16^2$
A. $16^2$
Solution:
The square of $16,$
$16^2 = 16 × 16 = 256$
Hence, the unit place of the number has $6.$
Solution:
The square of $16,$
$16^2 = 16 × 16 = 256$
Hence, the unit place of the number has $6.$
MCQ 611 Mark
What will be the unit’s digit of square of $526982.$
- AZero
- ✓$4$
- C$5$
- D$6$
Answer
View full question & answer→Correct option: B.
$4$
$4$
MCQ 621 Mark
Which of $212, 332, 472$ and $362$ would have $6$ at unit place?
- A$212$
- B$332$
- C$472$
- ✓$362$
Answer
View full question & answer→Correct option: D.
$362$
If a number has $4$ or $6$ in the unit’s place, then its square ends in $6$
MCQ 631 Mark
What will be the number of zeros in square of $400?$
- ✓$4$
- B$2$
- C$6$
- D$3$
Answer
View full question & answer→Correct option: A.
$4$
A. $4$
Solution:
$400^2 = 400 × 400 = 160000$
Solution:
$400^2 = 400 × 400 = 160000$
MCQ 641 Mark
The value of $\sqrt{(-1)}\cdot\sqrt{(-1)}$ is:
- ✓$-1$
- B$\pm 2$
- C$+ 1$
- DNone
Answer
View full question & answer→Correct option: A.
$-1$
$-1$
MCQ 651 Mark
What could be the possible one’s digit of the square root of $361?$
- ✓$1, 9$
- B$3, 4$
- C$6, 7$
- D$7, 8$
Answer
View full question & answer→Correct option: A.
$1, 9$
$1 \times 1 = 1$
$9 \times 9 = 81$
MCQ 661 Mark
Which letter best represents the location of $\sqrt{25}$ on a number line?
- A$A.$
- B$B.$
- ✓$C.$
- D$D.$
Answer
View full question & answer→Correct option: C.
$C.$
We have, $\sqrt{25}=5$
Therefore, $5$ at letter $C$ represents the best location of $\sqrt{25}$ on number line.
MCQ 671 Mark
The smallest number by which $125$ should be divided so as to get a perfect square is:
- A$3$
- ✓$5$
- C$25$
- D$125$
Answer
View full question & answer→Correct option: B.
$5$
B. $5$
Solution:
$125 ÷ 5 = 25 = 5^2$
Solution:
$125 ÷ 5 = 25 = 5^2$
MCQ 681 Mark
Which of the following is not a Pythagorean triplet?
- A$3, 4, 5$
- B$6, 8, 10$
- C$5, 12, 13$
- ✓$2, 3, 4$
Answer
View full question & answer→Correct option: D.
$2, 3, 4$
D. $2, 3, 4$
Solution:
$2^2 + 3^2 \neq 4^2$
Solution:
$2^2 + 3^2 \neq 4^2$
MCQ 691 Mark
The hypotenuse of a right triangle with its legs of lengths $3x \times 4x$ is:
- ✓$5x$
- B$7x$
- C$16x$
- D$25x$
Answer
View full question & answer→Correct option: A.
$5x$
Given, lenghts of the legs of right angled triangle are $3x$ and $4x.$
Now, hypotenuse $=\sqrt{(3\text{x})^2+(4\text{x})^2}$ [using Pythagoras theorem]
$=\sqrt{9\text{x}^2+16\text{x}^2}$
$=\sqrt{25\text{x}^2}=5\text{x}$
Now, hypotenuse $=\sqrt{(3\text{x})^2+(4\text{x})^2}$ [using Pythagoras theorem]
$=\sqrt{9\text{x}^2+16\text{x}^2}$
$=\sqrt{25\text{x}^2}=5\text{x}$
MCQ 701 Mark
Which of the following will have $1$ at the unit place?
- A$123^2$
- ✓$69^2$
- C$34^2$
- D$37^2$
Answer
View full question & answer→Correct option: B.
$69^2$
B. $69^2$
Solution:
$123^2 = 15129$ so, the units place of the square of $123 = 9$
$69^2= 4761$ so, the units place of the square of $69 = 1$
$34^2 = 1156$ so, the units place of the square of $34 = 6$
$37^2 = 1369$ so, the units place of the square of $37 = 9$
We can see that, $(69^2)$have $1$ at the units place.
Alternate Method: If a number has $1$ or $9$ in the unit's place, then its square ends in $1.$
Solution:
$123^2 = 15129$ so, the units place of the square of $123 = 9$
$69^2= 4761$ so, the units place of the square of $69 = 1$
$34^2 = 1156$ so, the units place of the square of $34 = 6$
$37^2 = 1369$ so, the units place of the square of $37 = 9$
We can see that, $(69^2)$have $1$ at the units place.
Alternate Method: If a number has $1$ or $9$ in the unit's place, then its square ends in $1.$
MCQ 711 Mark
Between $50$ and $60$, the perfect square number is:
- A$56$
- ✓$55$
- C$54$
- DNone of these.
Answer
View full question & answer→Correct option: B.
$55$
$55$
MCQ 721 Mark
If $102 = 100$, then the square root of $100$ is:
- A$1$
- ✓$10$
- C$100$
- D$1000$
Answer
View full question & answer→Correct option: B.
$10$
$\sqrt{100} = 10$
MCQ 731 Mark
The square of which of the following numbers will be even?
- A$21$
- B$27$
- C$35$
- ✓$50$
Answer
View full question & answer→Correct option: D.
$50$
$\therefore 50$ is even
$\therefore$ Its square will be even.
MCQ 741 Mark
By which smallest number $90$ must be multiplied so as to make it a perfect square?
- ✓$10$
- B$2$
- C$5$
- D$3$
Answer
View full question & answer→Correct option: A.
$10$
$10$
MCQ 751 Mark
A perfect square number between $30$ and $40$ is:
- ✓$36$
- B$32$
- C$33$
- D$39$
Answer
View full question & answer→Correct option: A.
$36$
$36 = 6 \times 6 = 62$
MCQ 761 Mark
Between $50$ and $60$, the perfect square number is:
- A$56$
- ✓$55$
- C$54$
- DNone
Answer
View full question & answer→Correct option: B.
$55$
None of $51, 52, ……, 59$ is a perfect square.
MCQ 771 Mark
$169$ is the square of:
- A$11$
- B$12$
- ✓$13$
- D$16$
Answer
View full question & answer→Correct option: C.
$13$
C. $13$
Solution:
We know that, $(11)^2 = 11 × 11 = 121, (12)^2 = 12 × 12 = 144$ and
$(13)^2 = 13 × 13 = 169$
Solution:
We know that, $(11)^2 = 11 × 11 = 121, (12)^2 = 12 × 12 = 144$ and
$(13)^2 = 13 × 13 = 169$
MCQ 781 Mark
Which of the following is a perfect square number?
- A$222222$
- B$23453$
- ✓$1681$
- D$1057$
Answer
View full question & answer→Correct option: C.
$1681$
$1681$
MCQ 791 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
- A$1444$
- B$3136$
- C$961$
- ✓$2222$
Answer
View full question & answer→Correct option: D.
$2222$
$2222$ as it has $2$ in the end.
MCQ 801 Mark
How many zeros are there for the square of $200?$
- A$2$
- B$6$
- C$3$
- ✓$4$
Answer
View full question & answer→Correct option: D.
$4$
D. $4$
Solution:
Square of $200$ is:
$200^2 = 200 × 200 = 2 × 100 x 2 × 100 = 4 × 10000 = 40000$
Hence, there are four zeros.
Solution:
Square of $200$ is:
$200^2 = 200 × 200 = 2 × 100 x 2 × 100 = 4 × 10000 = 40000$
Hence, there are four zeros.
MCQ 811 Mark
Which of $1052, 2162, 3332$ and $1112$ would end with digit $1?$
- A$1052$
- B$2162$
- C$3332$
- ✓$1112$
Answer
View full question & answer→Correct option: D.
$1112$
If a number has $1$ or $9$ in the unit’s place, then its square ends in $1.$
MCQ 821 Mark
Which of the following is a square of an even number?
- ✓$144$
- B$169$
- C$441$
- D$625$
Answer
View full question & answer→Correct option: A.
$144$
A. $144$
Solution:
Here, $144 = (12)^2$
Similarly, $169 = (13)^2$
$441 = (21)^2$
$625 = (25)^2$
Thus, $144$ is a square of an even number.
Alternate Method
We know that, square of an even number is always an even number. Hence, $169, 441$ and $625$ are not even numbers. So, only $144$ is an even number, which is the square of $12.$
Solution:
Here, $144 = (12)^2$
Similarly, $169 = (13)^2$
$441 = (21)^2$
$625 = (25)^2$
Thus, $144$ is a square of an even number.
Alternate Method
We know that, square of an even number is always an even number. Hence, $169, 441$ and $625$ are not even numbers. So, only $144$ is an even number, which is the square of $12.$
MCQ 831 Mark
The square root of $71 × 72 × 73 × 74 + 1$ is:
- ✓$5255$
- B$9625$
- C$9375$
- D$5625$
Answer
View full question & answer→Correct option: A.
$5255$
$5255$
MCQ 841 Mark
Which of the following numbers by which $9408$ must be divided so that the quotient is a Perfect square?
- A$4$
- ✓$3$
- C$5$
- D$6$
Answer
View full question & answer→Correct option: B.
$3$
$3$
MCQ 851 Mark
Which of the following square number is divisible by each of the numbers $6, 9, 15?$
- A$400$
- B$500$
- C$600$
- ✓$900$
Answer
View full question & answer→Correct option: D.
$900$
$900$
MCQ 861 Mark
Mark $(\checkmark)$ against the correct answer $\sqrt{72}\times\sqrt{98}=\ ?$
- A$42$
- ✓$84$
- C$64$
- D$74$
Answer
View full question & answer→Correct option: B.
$84$
$\sqrt{72}\times\sqrt{98}$
$=\sqrt{2\times2\times2\times3\times3}\times\sqrt{2\times7\times7}$
$=\sqrt{2\times2\times2\times3\times3\times2\times7\times7}$
$=2\times2\times3\times7$
$=84$
MCQ 871 Mark
How many natural numbers he between $8^2$ and $9^2?$
- ✓$16$
- B$17$
- C$18$
- D$19$
Answer
View full question & answer→Correct option: A.
$16$
A. $16$
Solution:
$2 \times 8 = 16$
Solution:
$2 \times 8 = 16$
MCQ 881 Mark
What will be the number of zeros in the square of $400?$
- ✓$4$
- B$3$
- C$2$
- D$1$
Answer
View full question & answer→Correct option: A.
$4$
A. $4$
Solution:
$400^2 = 400 × 400 = 160000$
It can be observed that the number of zeros in the square of $400$ is $4.$
Since $400$ has $2$ zeros at the end so its square will contain $4$ (double the number of zeros in the given number) zeros at the end.
Solution:
$400^2 = 400 × 400 = 160000$
It can be observed that the number of zeros in the square of $400$ is $4.$
Since $400$ has $2$ zeros at the end so its square will contain $4$ (double the number of zeros in the given number) zeros at the end.
MCQ 891 Mark
How many nonsquare numbers lie between the pair of numbers $80^2$ and $81^2?$
- A$162$
- ✓$160$
- C$161$
- D$164$
Answer
View full question & answer→Correct option: B.
$160$
B. $160$
Solution:
$2 \times 80 = 160$
Solution:
$2 \times 80 = 160$
MCQ 901 Mark
Without doing any calculation, find the numbers which are surely perfect squares.
- ✓$441$
- B$408$
- C$153$
- D$257$
Answer
View full question & answer→Correct option: A.
$441$
$441$
MCQ 911 Mark
What is the square root of $5929?$
- A$67$
- ✓$77$
- C$73$
- D$63$
Answer
View full question & answer→Correct option: B.
$77$
$5929=\sqrt{7\times7\times11\times11}$
$\Rightarrow 5929 = 7 \times 11 = 77$
$\Rightarrow 5929 = 7 \times 11 = 77$
MCQ 921 Mark
A perfect square can never have the following digit in its ones place.
- A$4$
- ✓$8$
- C$5$
- D$6$
Answer
View full question & answer→Correct option: B.
$8$
It is known that, a number ending with digits $2, 3, 7$ or $8$ can never be a perfect square.
So, a perfect square can never have the digit $8$ in its ones place.
MCQ 931 Mark
Find the greatest $4-$digit number which is a perfect square.
- A$9990$
- ✓$9801$
- C$9999$
- DNone of these.
Answer
View full question & answer→Correct option: B.
$9801$
$9801$
MCQ 941 Mark
Which of the following is the number non-perfect square numbers between the square of the numbers $n$ and $n + 1\ ?$
- A$n + 1$
- B$n$
- ✓$2n$
- D$2n + 1$
Answer
View full question & answer→Correct option: C.
$2n$
C. $2n$
Solution:
Given: Two numbers $n^2$ and $(n+1)^2$
To find: Which is the number non-perfect square numbers between two given numbers?
Now, we know that we have given two consecutive numbers, that is n and $n +1$.
So, let's consider some cases.
Case 1: $n=1$ and $n+1=2$
$n^2=1$ and $(n+1)^2=4$
So, there are two numbers in between square of $1$ and $2 .$
Case 2: $n=4$ and $n+1=5$
$n^2=16$ and $(n+1)^2=25$
So total numbers between the square of $4$ and $5$ are $8 .$
So, from case $1$ and case $2$ we can see that there are twice of first number as elements in between two consecutive squared numbers, that is $2(1)$ in first case and $2(4)$ in second case.
So, we can say that there are $2 n$ non-perfect square numbers between two given numbers.
Solution:
Given: Two numbers $n^2$ and $(n+1)^2$
To find: Which is the number non-perfect square numbers between two given numbers?
Now, we know that we have given two consecutive numbers, that is n and $n +1$.
So, let's consider some cases.
Case 1: $n=1$ and $n+1=2$
$n^2=1$ and $(n+1)^2=4$
So, there are two numbers in between square of $1$ and $2 .$
Case 2: $n=4$ and $n+1=5$
$n^2=16$ and $(n+1)^2=25$
So total numbers between the square of $4$ and $5$ are $8 .$
So, from case $1$ and case $2$ we can see that there are twice of first number as elements in between two consecutive squared numbers, that is $2(1)$ in first case and $2(4)$ in second case.
So, we can say that there are $2 n$ non-perfect square numbers between two given numbers.
MCQ 951 Mark
Which of the following numbers is not a perfect square?
- A$62500$
- B$57600$
- C$90000$
- ✓$63147$
Answer
View full question & answer→Correct option: D.
$63147$
$63147$
MCQ 961 Mark
$\sqrt{1+\sqrt{1+\sqrt{1+....}}}$
- ✓lies between $1$ and $2$
- BEquals $1$
- Clies between $0$ and $1$
- DIs grater than $2$
Answer
View full question & answer→Correct option: A.
lies between $1$ and $2$
lies between $1$ and $2$
MCQ 971 Mark
Which of the following is a perfect square number?
- A$2222$
- B$32543$
- C$888$
- ✓$10000$
Answer
View full question & answer→Correct option: D.
$10000$
Perfect square numbers end with
$0, 1, 4, 5, 6$ or $9$ at unit’s place.
MCQ 981 Mark
The square of which of the following numbers will be even?
- A$11$
- B$111$
- C$1111$
- ✓$112$
Answer
View full question & answer→Correct option: D.
$112$
$\therefore 112$ is even
$\therefore$ Its square will be even.
MCQ 991 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following is the square of an even number?
- ✓$196$
- B$441$
- C$625$
- D$529$
Answer
View full question & answer→Correct option: A.
$196$
We know that the square on an even number is also an even number. $196$ is the square of an even number.
MCQ 1001 Mark
The smallest $3-$ digit perfect square is:
- A$999$
- ✓$100$
- C$961$
- D$125$
Answer
View full question & answer→Correct option: B.
$100$
B. $100$
Solution:
$100 = 10^2$
Solution:
$100 = 10^2$