Use the sign of >, < or = in the box to make the statements true: 39 + (-24) - (15) [ ] 36 + (-52) - (- 36)
39 + (-24) – (15) [ ] 36 + (-52) – (- 36) Solution:- Considering Left Hand Side (LHS) we... View Article
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Use the sign of >, < or = in the box to make the statements true: 23 - 41 + 11 [ ] 23 - 41 - 11
(c) 23 – 41 + 11 [ ] 23 – 41 – 11 Solution:- Considering Left Hand Side (LHS) we... View Article
Use the sign of >, < or = in the box to make the statements true: (-3) + 7 - (19) [ ] 15 - 8 + (-9)
(-3) + 7 – (19) [ ] 15 – 8 + (-9) Solution:- Considering Left Hand Side (LHS) we get... View Article
Use the sign of >, < or = in the box to make the statements true: (-8) + (-4) [ ] (-8) - (-4)
(-8) + (-4) [ ] (-8) – (-4) Solution:- Cinsidering Left Hand Side (LHS) we get = (-8) + (-4)... View Article
Verify a – (- b) = a + b for the following values of a and b. (i) a = 21, b = 18 (ii) a = 118, b = 125 (iii) a = 75, b = 84 (iv) a = 28, b = 11
We have to verify a – (– b) = a + b for all the given set of integers (i)... View Article
In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square
Solution From the given details we get to know that In square (i), each row and column add up to give... View Article
Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
Solution From the given details we get to know that The distance towards the east is denoted by a positive... View Article
Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.
Solution From the given details we get to know that Amount deposited = Rs 2000 The amount is withdrawn =... View Article
A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?
Solution From the given details we get to know that The plane is flying at the height = 5000 m... View Article
At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?
Solution From the given details we get to know that the temperature in Srinagar is as follows The temperature on... View Article
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, – 5, – 10, 15 and 10, what was his total at the end?
Solution From the given details we get to know that Jack’s scores in five successive rounds are 25, −5, −10,... View Article
Following number line shows the temperature in degree celsius (co) at different places on a particular day. (a) Observe this number line and write the temperature of the places marked on it. (b) What is the temperature difference between the hottest and the coldest places among the above? (c) What is the temperature difference between Lahulspiti and Srinagar? (d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?
Solution (a) From the given data and observing the number line the temperatures of the cities are as follows: Cities Temperature... View Article
You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.
(i) 1331 We note that, the unit digit of cube is 1, the unit digit of cube root 1. Hence... View Article
The cube of a single digit number may be a single digit number. (True or False)
The cube of a single digit number may be a single digit number. Ans: The given statement is True Explanation For... View Article
The cube of a two digit number may have seven or more digits. (True or False)
The cube of a two digit number may have seven or more digits. Ans: The given statement is False Explanation For... View Article
The cube of a two digit number may be a three digit number. (True or False)
The cube of a two digit number may be a three digit number. Ans: The given statement is False Explanation For... View Article
There is no perfect cube which ends with 8. (True or False)
There is no perfect cube which ends with 8. Ans: The given statement is False Explanation For instance 23= 2 x... View Article
If square of a number ends with 5, then its cube ends with 25. (True or False)
If square of a number ends with 5, then its cube ends with 25. Ans: The given statement is False Explanation For instance... View Article
Cube of any odd number is even. (True or False)
Answer: False Cube of any odd number is even. The given statement is False Explanation True statements are Cubes of... View Article
Find the cube root of 175616 by prime factorisation method.
Solution We have to find the cube root of 175616 by the prime factorisation method 175616 = 2×2×2×2×2×2×2×2×2×7×7×7 By assorting the... View Article
