What is the value of x if
Given
What is the greatest number of five digits which is a perfect square?
The greatest number of five digits
What is the least number which must be subtracted from 6459 to make a perfect square?
Hence 59 must be subtracted.
By what least number 384 be multiplied 50 that the product may be a perfect square?
∴ 384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
∴ Required number = 6
What is the smallest number of four digits which is a perfect square?
Consider option (b)
Here
Clearly 1024 is the smallest number of four digits which is a perfect square.
What is the greatest number of four digits which is a perfect square?
Greatest number of four digits = 9999
Find the least number which must be added to 2292 to make it a perfect square.
2292 + 12 = 2304 which is a perfect square.
Find the smallest number by which 557568 must be divided so that it become a perfect square.
Find the smallest number by which 396 must be multiplied so that the product becomes a perfect square?
396 = 2 × 2× 3 × 3 × 11
To make a perfect square, 11 is multiplied to 396.
What is the least number which must be added to 6203 to obtain a perfect square ?
6241 – 6203 = 38
38 must be added to 6203 to make a perfect square.
Find the smallest square number that is divisible by each of the number 8, 15 and 20.
Here LCM of 8, 15, 20 = 120. and
120 = 2 × 2 × 2 × 3 × 5
To make 120 a perfect square, it must be multiplied by 2 × 3 ×5 = 30
120 × 30 = 3600
What is the least number that must be added to 1300 so as to get a perfect square?
36 × 36 = 1296
37 × 3 7 = 1369
69 must be added to make 1300 as perfect square.
What is the length of the diagonal of a square whose perimeter is equal to the perimeter of an equilateral triangle of side 4 cm?
Perimeter of an equilateral triangle
= 4 + 4 + 4 = 12 cm
Perimeter of square = 12 cm ⇒ 4 × side = 12 ⇒ Side = 3 cm.
∴ Length of diagonal =
The product of two positive numbers is and one of them is three times the other. Find the larger number.
Let the numbers are x and 3x.
∴
The area of a rectangular field whose length is three times its breadth is 348 m^{2}. What is the perimeter of the field?
Let breadth be x m
∴ Length = 3x m
Now
∴
Perimeter = 2 (10.77 + 32.31) = 86.16 m
Which of the following is not a Pythagorean triplet?
Here 3^{2} + 4^{2} = 5^{2}
6^{2} + 8^{2} = 10^{2}
2^{2} + 3^{2} ≠ 4^{2}
12^{2} + 35^{2} = 37^{2}
∴ (c) is not a Pythagorean triplet.
The area of a square field is 60025 m^{2}. A man cycles along its boundary at 18 km/hour. In how much time will he return to the starting point?
Speed of cycle = 18 km/hour
18 x 5/18
5m/sec
Area of square = 60025
Side of square = = 245 m
Perimeter of square = 245 × 4 m
∴ Time taken =
What is the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 m and breadth 3.4 meters?
Area of square = Area of rectangle
∴ Side of square = = 6.8 m
The perimeter of a square field is 76m. What is its area?
Perimeter of square = 76
⇒ 4 × side = 76 ⇒ side = 76/4 = 19
∴ Area of square = 19^{2} = 361 m^{2}
Which of the following is the square of an even number?
Here 729 = 27^{2}, 324 = 18^{2}, 441 = 21^{2}, 625 = 25^{2}
or
Square of an odd number is an odd number.
Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 







