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Multiply and reduce to lowest form and convert into a mixed fraction: 7 × (3/5)

7 × (3/5) Solution:- By the rule Multiplication of fraction, we know that Product of fraction = (product of numerator)/ (product of... View Article

Which of the drawings (a) to (d) show: (i) 2 × (1/5) (ii) 2 × ½ (iii) 3 × (2/3) (iv) 3 × ¼

Solution:- (i) 2 × (1/5) signifies the addition of 2 figures, Each signifies 1 shaded part out of the given 5 equal parts. ∴ 2... View Article

Michael finished colouring a picture in (7/12) hour. Vaibhav finished colouring the same picture in (3/4) hour. Who worked longer? By what fraction was it longer?

Solution:- From the given details we get to know that Time taken by the Michael to colour the picture is = (7/12) Time taken by the... View Article

Ritu ate (3/5) part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Solution:- From the given details we get to know that Part of apple eaten by Ritu is = (3/5) Part of apple eaten by Somu is = 1 –... View Article

Salil wants to put a picture in a frame. The picture is 7(3/5) cm wide. To fit in the frame the picture cannot be more than 7(3/10) cm wide. How much should the picture be trimmed?

Solution:- From the given details we get to know that Picture having a width of = = 38/5 cm Frame having a width of = = 73/10 cm ∴The... View Article

Find the perimeters of (i) Triangle ABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Solution From the given figure AB = (5/2) cm AE = = 18/5 cm BE = = 11/4 cm ED = 7/6 cm (i) We know that, Perimeter of the triangle =... View Article

A rectangular sheet of paper is 12 ½ cm long and 10(2/3) cm wide. Find its perimeter.

Solution:- From the given details, we get to know that Length = cm = 25/2 cm Breadth = = 32/3 cm We know that, Perimeter of the rectangle... View Article

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square?

4/11 9/11 2/11 3/11 5/11 7/11 8/11 1/11 6/11 Solution:- Let us find the sum along the respective rows and columns. Hence the sum... View Article

Arrange the following in descending order: 1/5, 3/7, 7/10

1/5, 3/7, 7/10 Solution We have to arrange the given fractions in descending order Let us first convert the fractions into fractions by... View Article

Arrange the following in descending order: 2/9, 2/3, 8/21

2/9, 2/3, 8/21 Solution We have to arrange the given fractions in descending order Let us first convert the fractions into fractions by... View Article

Solve: (9/11) – (4/15)

(9/11) – (4/15) Solution:- To solve the given equation at first we will convert them into like fractions by taking LCM. LCM of 11, 15 = 165... View Article

Solve: (3/5) + (2/7)

(3/5) + (2/7) Solution:- To solve the given equation at first we will convert them into like fractions by taking LCM. LCM of 5, 7 = 35 Let us... View Article

Solve: 4 + (7/8)

4 + (7/8) Solution:- To solve the given equation at first we will convert them into like fractions by taking LCM. LCM of 1, 8 = 8 Let us... View Article

An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach – 350 m.

Solution From the given details we get to know that The initial height of the elevator = 10 m The final depth of elevator = – 350 m... View Article

In a class test (+ 3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores -5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

Solution Marks obtained for 1 right answer = +3 Marks obtained for 1 wrong answer = −2 (i) Marks scored by Radhika = 20 Marks obtained... View Article

The temperature at 12 noon was 10oC above zero. If it decreases at the rate of 2oC per hour until midnight, at what time would the temperature be 8°C below zero? What would be the temperature at mid-night?

Solution From the given details we get to know that Initial temperature i.e., at 12 noon = 10°C Rate of change in temperature per hour =... View Article

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