Lipika reads a book for 1 (3 / 4) hours every day. She reads the entire book in 6 days How many hours in all were required by her to read the book? Number of hours per days... View Article
Without drawing a diagram, find (i) 10th square number (ii) 6th triangular number To find... View Article
If [a2 – 1] / a = 2, then the value of [a6 – 1] / a3 is On raising the given expression to the power 3 on both sides,... View Article
Write the first five multiples of the number 25. 25 × 1= 25 25 × 2 = 50 25 × 3 = 75 25 × 4 = 100 25 × 5 = 125... View Article
Write any three numbers of two digits and find their LCM. LCM (50, 75, 90) 50 = 2 × 5 × 5 75 = 3 × 5 × 5 90 = 2 × 3 × 3 × 5 LCM (50, 75, 90) = 2 × 3... View Article
In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: (i) How many can speak both Hindi and English? (ii) How many can speak Hindi only? (iii) How many can speak English only? The people who can speak English n (E) = 460 The people who can speak Hindi n (H) = 750 (i) The people who can speak both Hindi and... View Article
Find the mode of the data : (i) 10, 8, 4, 7, 8, 11, 15, 8, 6, 8. (ii) 27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27. (i) 10, 8, 4, 7, 8, 11, 15, 8, 6, 8. Mode = 8 (ii) 27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27. Mode = 27... View Article
A man sells an article at a profit of 25% if he had bought it 20% less and sold it for Rs 10.50 less, he would have gained 30% find the cost price of the article. Let the C.P be Rs x. First selling price = 125% of x = (125x / 100) = 5x / 4 Second selling price = 80% of x = (80x / 100) = 4x... View Article
Determine the LCM of 225 and 300. 225 = 3 × 3 × 5 × 5 300 = 2 × 2 × 3 × 5 × 5 The common factors are 3, 5, 5. ⇒ LCM = 2 × 2... View Article
The volume of a solid hemisphere is 1152Ï€ cu.cm. Find its curved surface area. The volume of a solid hemisphere is given by... View Article
Find the square of 71 without multiplication. 712 = 71 × 71 712 = 5041 Use the following method to make calculations simple: 71 = (70 + 1)... View Article
If 8R2 = a2 + b2 + c2, then prove that the triangle is a right angled triangle. The given condition is... View Article
The place value of 3 in 4.375 is 4.375 = 4 + 0.3 + 0.07 + 0.005 4 is in the units place 3 is in the one-tenth place 7 is in the one-hundredth place 5 is in the... View Article
Complete the following series: 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3. 90 = 30 × 3, 180 = 6 × 30, 12 = 2 × 6, 50 = 25 × 2, 100 = 4 × 25, 200 = 50 × 4. The missing term = 3 ×... View Article
Two dice were thrown and it is known that the numbers which come up were different. Find the probability that the sum of the two numbers was 5. A is the event such that the sum of the two numbers that came up is 5 and B is the event that the two dice showed different numbers. A = {(2, 3),... View Article