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1. A gardener plans to plant 570 trees in 19 rows.Each row is to contain the same number of trees.How many trees will there be in each row?
2. The population of a town is 450772.1 out of every 14 persons is reported to be educated. In all, how many educated persons are there in the town.
3. The LCM of 20,25,30 and 40.
4. Given that LCM of two numbers is 16 and their product is 64, determine their HCF.
5. The number of boys and girls in a school are 480 and 576 respectively. Express the ratio of the number of boys to that girls in the simplest form.
6. Find the third term of a proportion whose first, second and fourth terms are respectively 24, 8 and 5
7. Find 20% of 150
8. Find the value of 2 y³ - 3 y² + y - 1, if y = -2
9. Sum of the three angles of a triangle is ________
10. A tile is a square of side 25 cm. How many such tiles would be required to cover the floor of a square bath room of side is 3 m?
Explanation for question No 1 |
Number of trees planted 19 rows = 570
Number of tree planted in one row = 570/19 = 30 So the correct answer for this question is 30 option C |
Explanation for question No 2 |
Total number of people in the town = 450772
Out of 14 persons 1 person is reported to be educated Total number of educated persons in total number of people = 450772/14 = 32198 So the correct answer for this question is 32198 option A |
Explanation for question No 3 |
Now we are going to find prime factors of 20,25,30 and 40 respectively
20 = 2 x 2 x 5 = 2^{2} x 5 25 = 5 x 5 = 5^{2} 30 = 2 x 3 x 5 40 = 2 x 2 x 2 x 5 = 2^{3} x 5 L.C.M = 2^{3} x 5^{2} x 3 = 600 So the correct answer for this question is 600 option B |
Explanation for question No 4 |
LCM of two numbers = 16
Product of two numbers = 64 Relationship between two numbers is HCF x LCM = Product of two numbers HCF x 16 = 64 HCF = 64/16 = 4 So the correct answer for this question is 4 option B |
Explanation for question No 5 |
Total number of boys = 480
Total number of girls = 576 Ratio of the number of boys to the number of girls = 480 : 576 = 480/576 = 5 : 6 So the correct answer for this question is 5 : 6 option A |
Explanation for question No 6 |
Product of extremes = product of means
First term = 24 Second term = 8 Fourth term = 5 Product of first and fourth term = product of second and third term 24 x 5 = 8 x X 120 = 8 x 120/8 = x x = 15 So the correct answer for this question is 15 option C |
Explanation for question No 7 |
We can write 20 % as 20/100
= (20/100) x 150 = 3000/100 = 30 So the correct answer for this question is 30 option A |
Explanation for question No 8 |
Let p(y)= 2 y^{3} - 3 y^{2} + y - 1
y = -2 Now we have to plug -2 instead of y in the given equation p(-2) = 2(-2)^{3} - 3 (-2)^{2} + (-2) - 1 = 2(-2)^{3} - 3 (-2)^{2} + (-2) - 1 = 2(-8) - 3 (4) - 2 - 1 = -16 - 12 - 2 - 1 = -31 So the correct answer for this question is -31 option C |
Explanation for question No 9 |
So the correct answer for this question is 180° option B |
Explanation for question No 10 |
Area of square = a ^{2}
side length of the square shaped bathroom = 3 m = 3^{2} = 9 m Side length of square tile = 25 cm Now we need to change this from cm to meter 100 cm = 1 m 25 cm = 0.25 m Area of square tile = (0.25)^{2} = 0.0625 m Number of square tiles = Area of bathroom/Area of tile = 9/0.0625 = 144 So the correct answer for this question is 144 option C |