Gunjo Pachauri

Question: What number is 1/3 of 15 ? (A) 5(B) 4(C) 3(D) 2 Solution Divide 15 into 3 equal groups. Find how many are in each group.15 ÷ 3 = 5There are 5 in each group.5 is 1/3 of 15. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: If 5 is added to twice a number, the result is 29. Determine the number. (A) 12(B) 11(C) 10(D) 20 Solution The equation for the given statement is 5+2x = 29.To find the number “x”, we have to solve the equation.⇒ 2x = 29 – 5⇒ 2x = 24⇒ x = 24/2⇒ x =

Question: Find the length of a rectangle given that its perimeter is 880 m and breadth is 88 m. (A) 356 m(B) 352 m(C) 365 m(D) 362 m Solution Perimeter of the rectangle = 2 [length + breadth]∴ 2 [length + breadth] = 880length + breadth = 880 ÷ 2 = 440∵ Breadth = 88

Question: Estimate the difference of (973−368)to the nearest hundreds place. (A) 500(B) 600(C) 400(D) 300 Solution Here 973 is greater than 368. Round off to hundreds and then find the difference.Estimation nearest 100’s place for 97–3=1000Estimation nearest 100’s place for 36–8=400Estimated Difference of (973−368)to the nearest hundreds place.⇒1000−400=600 Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: Which numbers are factors of 6? Select all that apply.4 ,8, 1, 12. (A) 2(B) 1(C) 3(D) 4 Solution A number is a factor if it divides evenly.Divide all the numbers into 6, and see which ones divide evenly.6 ÷ 4 = 1 R2 No6 ÷ 8 = 0 R6 No6 ÷ 1 =

Question:3(q − 2) = 2(q + 1) − 3. Find the value of q. (A) 6(B) 3(C) 5(D) 2 Solution 3(q − 2) = 2(q + 1) − 3First we should remove the brackets.3q − 6 = 2q + 2 − 33q − 2q = 2 − 3 + 6q = 5 Our Social Media

Question: The area of a rectangle is x² + 12xy + 27y² and its length is (x + 9y). Find the breadth of the rectangle. (A) (X+2y)(B) (X+5y)(C) (X+3y)(D) (x-5y) Solution Area / Length= (x² + 12xy + 27y²) / (x + 9y)= x(x + 9y) + 3y(x + 9y) / (x + 9y)= (x

Solution As 2 is the zero of the polynomial.We know that if α is a zero of the polynomial p(x), then p(α) = 0Substituting x = 2 in x2 + 3x + p,⇒ 22 + 3(2) + p = 0⇒ 4 + 6 + p = 0⇒ 10 + p = 0⇒ p = -10

Solution Perimeter = 2 × (Length + Width)Perimeter = 2 × (12 units + 7 units)Perimeter = 2 × 19 unitsPerimeter = 38 units.

Solution Given AP: 21, 18, 15,…Here, a = 21,d = 18 – 21 = –3Let nth term of the given AP is -81.So, an = –81As we know,an = a + ( n – 1) dThus,– 81 = 21 + (n – 1)(– 3)– 81 = 24 – 3n– 105 = – 3nSo, n =