It is 5 km per hour. Speed = Distance/Time Hence, the travelling speed of Amar = 60/4 = 15 km per hour Travelling speed of Aman = 50/5 = 10 km per hour Hence, the difference in travelling speeds of Amar and Aman = 15 - 10 = 5 km per hour Option 1 is correct.

It is 110 litres. Quantity of sugar in the mixture is 2/10 x 220 = 44 litres. Quantity of salt in the mixture is 3/10 x 220 = 66 litres. Hence, the total quantity of sugar and salt is 44 + 66 = 110 litres. This answer is correct.

It is Rs. 360. Sum that Anu gets is 2/9 x 540 = Rs. 120 Sum that Charu gets is 4/9 x 540 = Rs. 240 Hence, the combined sum that Anu and Charu get is Rs. 120 + Rs. 240 = Rs. 360 This answer is correct.

It is 25. Number of boys in the class = 2/3 x 75 = 50 So, number of girls in the class = 75 - 50 = 25 Hence, difference in the number of boys and girls = 50 - 25 = 25 This answer is correct.

Let the cost price of each eraser be Rs. x. According to the question, the cost of each sharpener will become Rs. (2x + 1). Raj bought 6 sharpeners and 8 erasers for Rs. 56.6(2x + 1) + 8x = 5612x + 6 + 8x = 5620x + 6 = 5620x = 56 – 620x = 50x = 2.5 Thus, cost of each eraser is Rs. 2.50 and the cost of each sharpener is Rs. (2x + 1) = Rs. (2 × 2.5 + 1) = Rs. 6 The cost price of three sharpeners and two erasers is Rs. 18 and Rs. 5, respectively. This answer is correct.

The given equation is 3(2x + 1) = 7. According to the distributive property of multiplication, 3 × 2x + 3 × 1 = 76x + 3 = 7 Transposing 3 to R.H.S, we get: 6x = 7 – 36x = 4 Dividing both sides of the equation by 6, we get: x = 4/6 = 2/3 The required value of x is 2/3. Thus, the required value of (4x – 3) is -1/3. This answer is correct.

This answer is correct.

Statement 1 is 6x - 13 = 23. Therefore, it is a linear equation in one variable. Statement 2 is 5x + 9 = 14, which is also a linear equation in one variable. Hence, both the statements are correct. This answer is correct.

The given equation is 2(3x - 4) = 6 According to the distributive property of multiplication,  3 x -4 = 3 3x  =  3 + 4   x = 7/3

Now, (5x + 2) = 5(7/3) + 2 = 35/3  + 2 = 41/3 This answer is correct.

The product of the even number of negative integers is a positive integer, whereas the product of the odd number of negative integers is a negative integer. This answer is correct.

Subtraction is not commutative for integers. For example, the results of 7 – (–1) and (–1) – 7 respectively, are not equal.7 – (–1) = 7 + 1 = 8 and (–1) – 7 = –87 – (–1) ≠ (–1) – 7. Thus, the statement given in the above option is incorrect. This answer is correct.

Number of questions attempted = 19 Incorrect questions = 5 Correct questions = 19 – 5 = 14 Unattempted questions = 30 – 19 = 11 Total marks obtained = 14x 4 + 5 (-2) + 11 (-1) = 56 – 10 – 11 = 56 – 21 = 35 Thus, Shantanu scored 35 marks in the quiz. This answer is correct.

Let the length of the whiteboard be l m and width of the whiteboard be a m. Perimeter of the whiteboard = 14 m 2(l + w) = 14 Now, the length of the new whiteboard is (2 + l) m and width of the whiteboard is a m. Hence, the perimeter of the new whiteboard = 2(L + w) = 2(2m + l m + w m)                                                                                 = 4m + 2(l + w)                                                                                 = 4m + 14m = 18 m

When a negative integer is divided by another negative integer, the division is the same as that of two positive integers and the quotient has a positive sign. Hence, (–24) / [(–6) / (-1)] = (-24) / 6 = - 4. This answer is correct.

The given expression is 7 × (-14) + 6 × (-7)7 × (-14) + 6 × (-7) = (-7) × 14 + 6 × (-7) = (-7) × 14 + (-7) × 6 [Commutative property of multiplication] = (-7) × (14 + 6) [Distributive property of multiplication over addition] = (-7) × 20 Hence, the option 2, 7 × (-14) + 6 × (-7) = (-7) × 20 is correct. This answer is correct.