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The solution of which of the following equations is neither a fraction nor an integer. (a) 3x + 2 = 5x + 2 (b) 4x – 18 = 2 (c) 4x + 7 = x + 2 (d) 5x – 8 = x + 4

The correct answer is (c) 4x + 7 = x + 2 Explanation 4x + 7 = x + 2 On solving the given equation by transferring 7 to RHS and x to... View Article

13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Can you find two other such pairs?

The pair of numbers 12, 21 and 102 , 201 are also mirror images of each other. First pair is 12 and 21 Squares of numbers, 122 = 144... View Article

A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number? (Hint: The digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.)

Given From the given details we note that A three digit perfect square is such that if it is viewed upside down, the number seen is also a... View Article

The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two squares.

Given From the given details we note that Perimeters of first squares = 40m Perimeter of second square = 96m The perimeter of another square... View Article

Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.

Solution The three numbers in which, when we add the end of each line we always get a perfect square are 6,19 and 30. 6 + 19 = 25 6 + 30 =... View Article

A perfect square number has four digis, none of which is zero. The digits from left to right have values that are: even, even, odd, even. Find the number.

Solution The square root of the smallest 4-digit number, 1000, is somewhere between 31 and 32. So the smallest 4-digit square has to be the... View Article

Evaluate: 3√27 + 3√0.008 + 3√0.064

Solution 3√27 + 3√0.008 + 3√0.064 We can express 27 as (3 × 3 × 3) 0.008 as 8/1000 0.064... View Article

Three numbers are in the ratio 2:3:4. The sum of their cubes is 0.334125. Find the numbers.

Given Three numbers are in the ratio 2:3:4. The sum of their cubes is 0.334125 Find out We have to determine the numbers Solution Let... View Article

Find the square root of 324 by the method of repeated subtraction.

Given The number 324 Find out We have to determine the square root of 324 by the method of repeated subtraction. Solution we subtract... View Article

The area of a square plot is 100(1/400) m2. Find the length of one side of the plot.

Given From the given details we note that Area of a square plot = m2 = 40401/400 Find out We have to determine the length of one side... View Article

Find the smallest square number divisible by each one of the numbers 8, 9 and 10.

Given From the given details we note that The numbers 8, 9 and 10 Find out We have to determine the smallest square number divisible by each... View Article

Find three numbers in the ratio 2:3:5, the sum of whose squares is 608.

Given From the given details we note that Three numbers are in the ratio 2:3:5 The sum of the squares of the number is 608. Find out We have... View Article

A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Given From the given details we note that Total coins the advisor get at the end = 1 + 3 + 5 +….. Find out We have to determine... View Article

A 5.5m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4m. Find the distance between the wall and the foot of the ladder.

Let us consider the right angle triangle PQR Given From the given details we note that Long ladder i.e. RQ = 5.5 m The ladder reaches the wall... View Article

Rahul walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?

Given From the given details we note that Rahul walks 12m north from his house Turns west to walk 35m to reach his friend’s house. Find... View Article

8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Given From the given details we note that Total number of students were sitting in a lecture room = 8649 There were as many students in the row... View Article

A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?

Given From the given details we note that Total number of soldiers = 7500 The number of rows is equal to the number of seats in each... View Article

A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.

Given From the given details we note that Total number of seats = 2704. The number of rows is equal to the number of seats in each row Find... View Article

Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.

Given From the given details we note that Total number of plants arranged = 1024 Plants are arranged so that number of plants in a row is the... View Article

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

Given From the given details we note that Length of rectangle = 6.4 m Breadth of rectangle = 2.5 m Find out We have to determine the side of a... View Article