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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 1 : Real Numbers Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018
1. Which of the following statement is true?
X: HCF (a,b) x LCM(a,b) = a x b, where a & b are some positive integer
Y: HCF(a,b,c) x LCM(a,b,c) = a x b x c, where a ,b & c are some positive integer
a) X is correct
b) Y is correct
c) X and Y both are correct
d) X and Y both are incorrect
2. Which of the following statement is/are true?
a) X is correct
b) Y is correct
c) X and Y both are correct
d) X and Y both are incorrect
3. The decimal expansion of 5/ (23 x 32) is
a) a terminating
b) non terminating
c) non-terminating repeating (recurring)
d) non terminating & non repeating
4. The decimal expansion of 7/(23 x 52 ) is
a) a terminating
b) non terminating
c) non-terminating repeating (recurring)
d) non terminating & non repeating
5. If a decimal never repeats and never terminates,
a) It can be represented as a ratio of two integers.
b) it cannot be represented as a ratio of two integers
c) we call such number irrational
d) Both b & c
6. A non-repeating and non-terminating decimal is always
a) an irrational number
b) A rational number
c) Both a & b are correct
d) Both a & b are incorrect
7. An irrational number has a
a) Non-terminating decimal expansion
b) Non-repeating decimal expansion.
c) Both a & b
d) None of the above
8. A rational number has a
a) Terminating decimal expansion
b) Non-terminating repeating decimal expansion
c) Either a or b is correct
d) Both a & b are correct
9. An irrational number cannot be expressed
a) as a fraction
b) Terminating decimal expansion.
c) Non terminating repeating decimal expansion
d) All of the above
10. Which of the following is an irrational number?
a) √2
b) π
c) 0.12122122212……
d) All of the above
11. π can be expressed as
a) as a fraction
b) Terminating decimal expansion.
c) Non terminating repeating decimal expansion
d) None of the above
12. for the following statements
A: if the number x divides both a2 and a, then x is a prime number, where x & a are positive integers.
B: If x divides a2 , then x divides a, where x & a are positive integer.
C: If x is a prime and x divides a2 , then x divides a, where a is a positive integer.
a) A is correct
b) C is correct
c) Both B & C are correct
d) All A ,B &C are correct
13. In the expression a=bq + r given that a & b are positive integers & 0<=r<b also r<q Which one is correct
a) HFC(a,b)=HCF(b,r)
b) HFC(a,q)=HCF(q,r)
c) Both a & b
d) None of the above
14. For given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0<=r<b. The above statement is known as
a) Euclid’s division lemma
b) Euclid’s division algorithm
c) The Fundamental Theorem of Arithmetic
d) Both a & b
15. Step by step procedure of solving a problem is known as
a) Algorithm
b) Flow chart
c) Algebra
d) Lemma
16. The word algorithm comes from the mathematician
a) Ibn-e-sinha
b) Al-Khwarizmi
c) Galileo
d) Newton
17. The book “Hisab al-jabr w’al-muqabala” was written by
a) Ibn-e-sinha
b) Al-Khwarizmi
c) Galileo
d) Newton
18. Fill in the blank
A _____ is a proven statement used for proving another statement.
a) Algorithm
b) Algebra
c) Lemma
d) Both a & b
19. Euclid’s division algorithm is a technique to compute
a) the Highest Common Factor (HCF) of two given positive integers
b) the lowest Common multiple (LCM) of two given positive integers
c) square root of a number
d) cube root of a number
20. The number of the form 2n+1, where n is an integer is always
a) an even number
b) prime number
c) multiple of n
d) an odd number
21. The number of the form 2n+2, where n is an integer is always
a) an even number
b) prime number
c) multiple of n
d) an odd number
22. The number of the form 4q+ 1 or 4q+ 3, where q is some integer is
a) Positive even number
b) Positive odd number
c) Positive prime number
d) None
23. 75 blue boxes and 100 red boxes have identical shape and size. The box has to be arranged in such a way that each stack has the same number, and they take up the least area of the ground. What is the maximum number of boxes that can be placed in each stack for this purpose?
a) 20
b) 25
c) 50
d) 75
24. For some integer q, which of following is odd integer?
a) 6q+ 1
b) 6q+ 3
c) 6q+ 5
d) All of the above
25. A class has 18 girls and 24 boys. The girls have to stand behind the boys in the ground in the same number of columns. What is the maximum number of columns in which they can stand?
a) 3
b) 4
c) 6
d) 8
Answers
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
# Students are welcome to discuss online, the above mention MCQs.
The discussion is free for all,appearing in XI/Dip.Engg. Entrance -2018
Office:Silver Plaza, Opposite Kabir Colony , Anoop Shaher Road, Jamalpur Aligarh-202002, U.P-India
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 1 : Real Numbers Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018
1. Which of the following statement is true?
X: HCF (a,b) x LCM(a,b) = a x b, where a & b are some positive integer
Y: HCF(a,b,c) x LCM(a,b,c) = a x b x c, where a ,b & c are some positive integer
a) X is correct
b) Y is correct
c) X and Y both are correct
d) X and Y both are incorrect
2. Which of the following statement is/are true?
b) Y is correct
c) X and Y both are correct
d) X and Y both are incorrect
3. The decimal expansion of 5/ (23 x 32) is
a) a terminating
b) non terminating
c) non-terminating repeating (recurring)
d) non terminating & non repeating
4. The decimal expansion of 7/(23 x 52 ) is
a) a terminating
b) non terminating
c) non-terminating repeating (recurring)
d) non terminating & non repeating
5. If a decimal never repeats and never terminates,
a) It can be represented as a ratio of two integers.
b) it cannot be represented as a ratio of two integers
c) we call such number irrational
d) Both b & c
6. A non-repeating and non-terminating decimal is always
a) an irrational number
b) A rational number
c) Both a & b are correct
d) Both a & b are incorrect
7. An irrational number has a
a) Non-terminating decimal expansion
b) Non-repeating decimal expansion.
c) Both a & b
d) None of the above
8. A rational number has a
a) Terminating decimal expansion
b) Non-terminating repeating decimal expansion
c) Either a or b is correct
d) Both a & b are correct
9. An irrational number cannot be expressed
a) as a fraction
b) Terminating decimal expansion.
c) Non terminating repeating decimal expansion
d) All of the above
10. Which of the following is an irrational number?
a) √2
b) π
c) 0.12122122212……
d) All of the above
11. π can be expressed as
a) as a fraction
b) Terminating decimal expansion.
c) Non terminating repeating decimal expansion
d) None of the above
12. for the following statements
A: if the number x divides both a2 and a, then x is a prime number, where x & a are positive integers.
B: If x divides a2 , then x divides a, where x & a are positive integer.
C: If x is a prime and x divides a2 , then x divides a, where a is a positive integer.
a) A is correct
b) C is correct
c) Both B & C are correct
d) All A ,B &C are correct
13. In the expression a=bq + r given that a & b are positive integers & 0<=r<b also r<q Which one is correct
a) HFC(a,b)=HCF(b,r)
b) HFC(a,q)=HCF(q,r)
c) Both a & b
d) None of the above
14. For given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0<=r<b. The above statement is known as
a) Euclid’s division lemma
b) Euclid’s division algorithm
c) The Fundamental Theorem of Arithmetic
d) Both a & b
15. Step by step procedure of solving a problem is known as
a) Algorithm
b) Flow chart
c) Algebra
d) Lemma
16. The word algorithm comes from the mathematician
a) Ibn-e-sinha
b) Al-Khwarizmi
c) Galileo
d) Newton
17. The book “Hisab al-jabr w’al-muqabala” was written by
a) Ibn-e-sinha
b) Al-Khwarizmi
c) Galileo
d) Newton
18. Fill in the blank
A _____ is a proven statement used for proving another statement.
a) Algorithm
b) Algebra
c) Lemma
d) Both a & b
19. Euclid’s division algorithm is a technique to compute
a) the Highest Common Factor (HCF) of two given positive integers
b) the lowest Common multiple (LCM) of two given positive integers
c) square root of a number
d) cube root of a number
20. The number of the form 2n+1, where n is an integer is always
a) an even number
b) prime number
c) multiple of n
d) an odd number
21. The number of the form 2n+2, where n is an integer is always
a) an even number
b) prime number
c) multiple of n
d) an odd number
22. The number of the form 4q+ 1 or 4q+ 3, where q is some integer is
a) Positive even number
b) Positive odd number
c) Positive prime number
d) None
23. 75 blue boxes and 100 red boxes have identical shape and size. The box has to be arranged in such a way that each stack has the same number, and they take up the least area of the ground. What is the maximum number of boxes that can be placed in each stack for this purpose?
a) 20
b) 25
c) 50
d) 75
24. For some integer q, which of following is odd integer?
a) 6q+ 1
b) 6q+ 3
c) 6q+ 5
d) All of the above
25. A class has 18 girls and 24 boys. The girls have to stand behind the boys in the ground in the same number of columns. What is the maximum number of columns in which they can stand?
a) 3
b) 4
c) 6
d) 8
Answers
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
# Students are welcome to discuss online, the above mention MCQs.
The discussion is free for all,appearing in XI/Dip.Engg. Entrance -2018
Office:Silver Plaza, Opposite Kabir Colony , Anoop Shaher Road, Jamalpur Aligarh-202002, U.P-India
Contact Number: +91-9045756384,9548040225.
e-mail id : qacademyaligarh@gmail.com
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