Abhinay Sir Maths Class Notes And Book PDF 2022
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Abhinay Sir Maths Class Notes And Book PDF 2022
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Abhinay Sir Maths Class Notes Questions Answers
1. 121 Divided by 11 is

11

10

19

18
Answer: a
2. 60 Times of 8 Equals to

480

300

250

400
Answer: a
3. Find the Missing Term in Multiples of 6 : 6, 12, 18, 24, _, 36, 42, _ 54, 60.

32, 45

30, 48

24, 40

25, 49
Answer: b
4. What is the Next Prime Number after 7 ?

13

12

14

11
Answer: d
5. The Product of 131 × 0 × 300 × 4

11

0

46

45
Answer: b
6. Solve 3 + 6 × ( 5 + 4) ÷ 3 – 7

11

16

14

15
Answer: c
7. Solve 23 + 3 ÷ 3

24

25

26

27
Answer: a
8. What is 6% Equals to

0.06

0.6

0.006

0.0006
Answer: a
9. How Many Years are there in a Decade?

5 years

10 years

15 years

20 years
Answer: b
10. How Many Months Make a Century?

12

120

1200

12000
Answer: c, 1200 months. As a century has a total of 100 years and each year has a total of 12 months, then a century will have a sum of 1200 months in it (100 × 12 = 1200 months).
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Abhinay Sir Maths Class Notes Questions
1. Which is greater than 4?
(a) 5,
(b) 5,
(c) 1/2,
(d) 25.
Solution:5 greater than 4.
Answer: (a)
2. Which is the smallest?
(a) 1,
(b) 1/2,
(c) 0,
(d) 3.
Solution:The smallest number is 1.
Answer: (a)
3. Combine terms: 12a + 26b 4b – 16a.
(a) 4a + 22b,
(b) 28a + 30b,
(c) 4a + 22b,
(d) 28a + 30b.
Solution:12a + 26b 4b – 16a.
= 12a – 16a + 26b – 4b.
= 4a + 22b.
Answer: (c)
4. Simplify: (4 – 5) – (13 – 18 + 2).
(a) 1,
(b) –2,
(c) 1,
(d) 2.
Solution:(4 – 5) – (13 – 18 + 2).
= 1(13+218).
= 1(1518).
= 1(3).
= 1+3.
= 2.
Answer: (d)
5. What is 26?
(a) 26,
(b) 26,
(c) 0,
(d) 1
Solution:26= 26.
Answer: (b)
6. Multiply: (x – 4)(x + 5)
(a) x^{2} + 5x – 20,
(b) x^{2} – 4x – 20,
(c) x^{2} – x – 20,
(d) x^{2} + x – 20.
Solution:(x – 4)(x + 5).
= x(x + 5) 4(x + 5).
= x^{2} + 5x – 4x – 20.
= x^{2} + x – 20.
Answer: (d)
7. Factor: 5x^{2} – 15x – 20.
(a) 5(x4)(x+1),
(b) 2(x4)(x+5),
(c) 5(x+4)(x1),
(d) 5(x+4)(x+1).
Solution:5x^{2} – 15x – 20.
= 5(x^{2} – 3x – 4).
= 5(x^{2} – 4x + x – 4).
= 5{x(x – 4) +1(x – 4)}.
= 5(x4)(x+1).
Answer: (a).
8. Factor: 3y(x – 3) 2(x – 3).
(a) (x – 3)(x – 3),
(b) (x – 3)^{2},
(c) (x – 3)(3y – 2),
(d) 3y(x – 3).
Solution:3y(x – 3) 2(x – 3).
= (x – 3)(3y – 2).
Answer: (c).
9. Solve for x: 2x – y = (3/4)x + 6.
(a) (y + 6)/5,
(b) 4(y + 6)/5,
(c) (y + 6),
(d) 4(y – 6)/5.
Solution:2x – y = (3/4)x + 6.
or, 2x – (3/4)x = y + 6.
or, (8x 3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y + 24.
or, x = (4y + 24)/5.
Therefore, x = 4(y + 6)/5.
Answer: (b).
10. Simplify:(4x^{2} – 2x) – (5x^{2} – 8x).
Solution:(4x^{2} – 2x) – (5x^{2} – 8x)
= 4x^{2} – 2x + 5x^{2} + 8x.
= 4x^{2} + 5x^{2} – 2x + 8x.
= 9x^{2} + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
11. Find the value of 3 + 2 • (8 – 3)
(a) 25,
(b) 13,
(c) 17,
(d) 24,
(e) 15.
Solution:3 + 2 • (8 – 3)
= 3 + 2 (5)
= 3 + 2 × 5
= 3 + 10
= 13
Answer: (d)
12. Rice weighing 3^{3}/_{4} pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Solution:3^{3}/_{4} ÷ 4 pounds.
= (4 × 3 + 3)/4 ÷ 4 pounds.
= 15/4 ÷ 4 pounds.
= 15/4 × 1/4 pounds.
= 15/16 pounds.
Now we know that, 1 pound = 16 ounces.
Therefore, 15/16 pounds = 15/16 × 16 ounces.
= 15 ounces.
Answer: 15 ounces.
13. Factor: 16w^{3} – u^{4}w^{3}
Solution:16w^{3} – u^{4}w^{3}.
= w^{3}(16 – u^{4}).
= w^{3}(4^{2} – ((u^{2})^{2}).
= w^{3}(4 + u^{2})(4 – u^{2}).
= w^{3}(4 + u^{2})(2^{2} – u^{2}).
= w^{3}(4 + u^{2})(2 + u)(2 – u).
Answer: w^{3}(4 + u^{2})(2 + u)(2 – u).
14. Factor: 3x^{4}y^{3} – 48y^{3}.
Solution:3x^{4}y^{3}– 48y^{3}.
= 3y^{3}(x^{4} – 16).
= 3y^{3}[(x^{2})^{2} – 4^{2}].
= 3y^{3}(x^{2} + 4)(x^{2} – 4).
= 3y^{3}(x^{2} + 4)(x^{2} – 2^{2}).
= 3y^{3}(x^{2} + 4)(x + 2)(x 2).
Answer: 3y^{3}(x^{2} + 4)(x + 2)(x 2)
15. What is the radius of a circle that has a circumference of 3.14 meters?
Solution:
Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
Abhinay Sir Maths Class Notes PDF Download
Chapter Name  Download Link 

Number System by Abhinay Sir (अभिनय सर संख्या पद्धति)  Download 
Average by Abhinay Sir (अभिनय सर औसत)  Download 
Time, Speed, Distance by Abhinay Sir (अभिनय सर समय, दूरी, चाल)  Download 
Time and Work by Abhinay Sir (अभिनय सर समय तथा काम)  Download 
Simple Interest by Abhinay Sir (अभिनय सर साधारण ब्याज)  Download 
LCM & HCF by Abhinay Sir (अभिनय सर लoसo,मoसo)  Download 
Compoud Interest by Abhinay Sir (अभिनय सर चक्रवृद्धि ब्याज)  Download 
Geometry by Abhinay Sir (अभिनय सर ज्यामिति)  Download 
Coordinate Geometry by Abhinay Sir (अभिनय सर निर्देशांक ज्यामिति  Download 
Percentage by Abhinay Sir (अभिनय सर प्रतिशतता)  Download 
Algebra by Abhinay Sir (अभिनय सर बीजगणित)  Download 
Profit & Loss by Abhinay Sir (अभिनय सर लाभ और हानि)  Download 
Trigonometry by Abhinay Sir (अभिनय सर त्रिकोणमिति)  Download 
Partnership by Abhinay Sir (अभिनय सर साझेदारी)  Download 
Mixure & Alligation by Abhinay Sir (अभिनय सर मिश्रण)  Download 
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