# Abhinay Sir Maths Class Notes and Book Pdf 2022 Download

## Abhinay Sir Maths Class Notes and Book Pdf 2022 Download

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### ** Related Topics**

- सरलीकरण (Specification)
- आसन्न मान (Approximate Value)
- समीकरणों की समानता (Equality of Equations)
- घातांक एवं करणी (Indices and Surds)
- लघुत्तम समापवर्तक एवं महत्तम समापवर्तक (LCM and HCF)
- संख्या पद्धति (Number System)
- प्रतिशतता (Percentage)
- लाभ, हानि और बट्टा (Profit, Loss and Discount)
- साधारण ब्याज (Simple Interest)
- चक्रवृद्धि ब्याज (Computed Interest)
- अनुपात एवं समानुपात (Ratio and Proportion)
- साझेदारी (Partnership)
- मिश्रण (Mixture)
- मिस्र समानुपात (Mixture)
- मिश्र समानुपात (Mixed Proportion)
- उम्र सम्बन्धी प्रश्न (Problems on Age)
- समय तथा काम (Time and Work)
- नल तथा टंकी (Pipes and Cistern)
- औसत (Average)
- समय तथा दूरी (Time and Distance)
- रेलगाङी से सम्बंधित प्रश्न (Problems Based on Trains)
- नाव एवं धारा (Bots and Streams)
- क्षेत्रफल (Area)
- पृष्ठ क्षेत्रफल तथा आयतन (Surface Area and Volume)
- आंकणो की पर्याप्तता (Data Sufficiency)
- संख्या श्रेणी (Number Series)
- क्रमचय एवं संचय (Permutation and Combination)
- प्रायिका सिद्धांत (Probability Theory)
- एकघातीय एवं द्विघातीय समीकरण (Linear & Quadratic Equations)
- ग्राफ (Graph)
- सारणीकरण (Tabulation)
- लघुगणक (Logarithms)
- श्रेणी (Progression)

**Important HCF and LCM Questions**

**Q : ****The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is **

(A) 900

(B) 800

(C) 1100

(D) 975

**Q : **The H.C.F. of two numbers, each having three digits, is 17 and their L.C.M. is 714. The sum of the numbers will be:

(A) 221

(B) 731

(C) 289

(D) 391

**Q : **The L.C.M. of two numbers is 20 times their H.C.F. The sum of H.C.F. and L.C.M. is 2520. If one of the number is 480, the other number is:

(A) 520

(B) 600

(C) 400

(D) 480

**Q : **The sum of two numbers is 45. Their difference is 1/9 of their sum. Their L.C.M. is

(A) 100

(B) 150

(C) 200

(D) 250

**Q : **If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is

(A) 14

(B) 34

(C) 30

(D) 26

**Q : **Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is

(A) 288

(B) 336

(C) 100

(D) 192

**Q : **The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is

(A) 6

(B) 8

(C) 3

(D) 4

**Q : **The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is

(A) 150

(B) 160

(C) 130

(D) 140

**Q : **The sum of two numbers is 216 and their HCF is 27. How many pairs of such numbers are there?

(A) 3

(B) 0

(C) 1

(D) 2

**Q : **The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is :

(A) 15

(B) 12

(C) 10

(D) 60

**Q : **The sum of a pair of positive integers is 336 and their H.C.F. is 21. The number of such possible pairs is

(A) 4

(B) 5

(C) 2

(D) 3

**Q : **Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

(A) 4, 8, 12

(B) 10, 20, 30

(C) 12, 24, 36

(D) 5, 10, 15

**Q : **The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is

(A) 40

(B) 64

(C) 28

(D) 32

**Q : **LCM of (a^{2} – 9) and (a^{4} – 81) is:

(A)

(B)

(C) (a+3)(a- 3)

(D)

**Q : **Two numbers are in the ratio 3 : 4. The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is

(A) 86

(B) 91

(C) 68

(D) 72

**Q : **The LCM and the HCF of the numbers 28 and 42 are in the ratio:

(A) 3 : 2

(B) 7 : 2

(C) 6 : 1

(D) 2 : 3

**Q : **The ratio of the sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is :

(A) 12

(B) 8

(C) 20

(D) 16

**Q : **If the ratio of two numbers is 2 : 3 and their L.C.M. is 54, then the sum of the two numbers is

(A) 45

(B) 270

(C) 5

(D) 15

**Q : **HCF of

(A)

(B)

(C)

(D)

**Q : **LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is

(A) 297

(B) 584

(C) 189

(D) 216

**Q : **The product of two numbers is 20736 and their HCF is 54. Find their LCM.(A) 685

(B) 468

(C) 648

(D) 384

Correct Answer : D

**Q : **What is the LCM (least common multiple) of 57 and 93?

(A) 1576

(B) 1767

(C) 1567

(D) 1919

Correct Answer : B

**Q : **The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is-

(A) 10

(B) 46

(C) 70

(D) 90

Correct Answer : A

**Q : **The HCF and LCM of two numbers are 3 and 2730 respectively. If one of the numbers is 78, find the other number.

(A) 107

(B) 103

(C) 105

(D) 102

Correct Answer : C

**Q : **a and b are two whole numbers and c is their HCF, then the LCM of those two numbers is

(A) ab/c

(B) abc

(C) bc

(D) ac/b

Correct Answer : A

**Q : **The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.

(A) 10

(B) 14

(C) 20

(D) 28

Correct Answer : C

**Q : **What is the Highest Factor of ?

(A)

(B)

(C)

(D)

Correct Answer : B

**Q : **The HCF of 156, 312 and 195 is :

(A) 39

(B) 3

(C) 78

(D) 13

Correct Answer : A

**Q : **The sum of two numbers is 232 and their HCF is 29. What is the numbers of such pairs of numbers satisfied the above condition?

(A) 0

(B) 2

(C) 3

(D) 1

Correct Answer : B

**Q : **The product of two numbers is 2028 and their HCF is 13. The number of such pair is-

(A) 1

(B) 2

(C) 3

(D) 4

**Q : **What is the HCF of 16, 72 and 28 ?(A) 3

(B) 4

(C) 2

(D) 1

Correct Answer : B

**Q : **The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?

(A) 56

(B) 84

(C) 82

(D) 15

Correct Answer : B

**Q : **The LCM of two consecutive even numbers is 144, find the numbers?

(A) 16 and 18

(B) 14 and 16

(C) 18 and 20

(D) 22 and 24

Correct Answer : A

**Q : **What is the L.C. M of .

(A)

(B)

(C)

(D) None of these

Correct Answer : C

**Q : **Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

(A) 21

(B) 42

(C) 63

(D) 36

Correct Answer : A

**Q : **Two numbers are in the ratio 3: 4 if their LCM is 240 then smaller number will be

(A) 100

(B) 80

(C) 60

(D) 50

**Q :**If (x + k ) is the common factor of x

^{2}+ ax + b and x

^{2}+ cx + d , then what is k equal to ?

(A)

(B)

(C)

(D)

Correct Answer : A

**Q : **The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is-

(A) 9136

(B) 9216

(C) 9316

(D) 9236

Correct Answer : A

**Q : **What is the highest common factor of 2x^{3} + x^{2} -x -2 and 3x^{3}– 2x^{2} + x – 2 ?

(A) x – 1

(B) x + 1

(C) 2x + 1

(D) 2x – 1

Correct Answer : A

**Q : **The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum of HCF and LCM is 1150. The other numbers is-

(A) 225

(B) 235

(C) 240

(D) 250

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