MCQ in Fundamentals in Algebra Part 1 | Math Board
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October 7, 2014
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This is the Multiples Choice Questions Part 1 of the Series in Fundamentals in Algebra as
one of the Engineering Mathematics topic. In Preparation for the ECE Board Exam make
sure to expose yourself and familiarize in each and every questions compiled here taken
from various sources including but not limited to past Board Examination Questions in
Engineering Mathematics, Mathematics Books, Journals and other Mathematics References.
MCQ Topic Outline included in Mathematics Board Exam Syllabi
MCQ in Basic Rules in Algebra | MCQ in Properties of Equality | MCQ in Properties of
Zero | MCQ in Properties of Exponent | MCQ in Properties of Radicals | MCQ in Surds |
MCQ in Special Products | MCQ in Properties of Proportion | MCQ in Remainder
Theorem | MCQ in Factor Theorem
Start Practice Exam Test Questions Part 1 of the Series
Choose the letter of the best answer in each questions.
Problem 1: ECE Board April 1999
If 16 is 4 more than 4x, find 5x – 1.
A. 14
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B. 3
C. 12
D. 5
View Answer:
Answer: Option A
Solution:Review Solution for Number 1
Problem 2: EE Board October 1992
Find the value of x in
A. 16.47
B. 12.87
C. 18.27
D. 20.17
View Answer:
Answer: Option A
Solution:Review Solution for Number 2
Problem 3: EE Board October 1991
Find the value of x in the equations:
A. 50/9
B. 80/9
C. 70/9
D. 60/9
2/22
View Answer:
Answer: Option C
Solution:Review Solution for Number 3
Problem 4: EE Board October 1997
Find the values of x and y from the equations:
x – 4y + 2 = 0
2x + y – 4 = 0
A. 11/7, -5/7
B. 14/9, 8/9
C. 4/9, 8/9
D. 3/2, 5/3
View Answer:
Answer: Option B
Solution:Review Solution for Number 4
Problem 5: ME Board October 1995
Solve for the value of x and y.
4x + 2y = 5 13x -3y = 2
A. y = 1/2, x = 3/2
B. y = 3/2, x = 1/2
C. y = 2, x = 1
D. y = 3, x =1
View Answer:
Answer: Option B
Solution:Review Solution for Number 5
Problem 6: ME Board October 1996
Solve the simultaneous equations:
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2x2 – 3y2 = 6
3x2 + 2y2 = 35
A. x = 3 or -3; y = 2 or -2
B. x = 3 or -3, y = -2 or 1
C. x = 3 or -3, y = -2 or -1
D. x = 3 or -3, y = 2 or -3
View Answer:
Answer: Option A
Solution:Review Solution for Number 6
Problem 7: CE Board May 1997
Find the value of w in the following equations:
3x – 2y + w = 11
x + 5y – 2w = -9
2x + y -3w = -6
A. 3
B. 2
C. 4
D. -2
View Answer:
Answer: Option A
Solution:Review Solution for Number 7
Problem 8: EE Board October 1993
Solve for the value of x.
2x – y + z = 6
x- 3y – 2z = 13
2x – 3y – 3z = 16
4/22
A. 4
B. 3
C. 2
D. 1
View Answer:
Answer: Option C
Solution:Review Solution for Number 8
Problem 9: ME Board October 1996
Solve the simultaneous equations:
x+y=–4
x+z–1=0
y+z+1=0
A. x = -1, y = -5, z = 3
B. x = 1, y = 2, z = -3
C. x = -1, y = -3, z = 2
D. x = -2, y = -3, z = -1
View Answer:
Answer: Option C
Solution:Review Solution for Number 9
Problem 10: EE Board April 1997
Multiply the following: (2x + 5y)(5x – 2y)
A. 10x2 – 21xy + 10y2
B. -10x2 + 21xy + 10y2
C. 10x2 + 21xy – 10y2
D. -10x2 – 21xy – 10y2
View Answer:
5/22
Answer: Option C
Solution:Review Solution for Number 10
Problem 11: EE Board March 1998
Determine the sum of the positive valued solution
to the simultaneous equations:
xy = 15, yz = 35, zx = 21.
A. 16
B. 13
C. 17
D. 19
View Answer:
Answer: Option A
Solution:Review Solution for Number 11
Problem 12: ECE Board April 1991
Simplify:
A.
B.
C.
D.
View Answer:
Answer: Option B
Solution:Review Solution for Number 12
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Problem 13: ECE Board November 1993
Simplify the following equation
A.
B.
C.
D.
View Answer:
Answer: Option A
Solution:Review Solution for Number 13
Problem 14: ECE Board April 1991
Simplify:
A.
B.
C.
D.
View Answer:
Answer: Option A
Solution:Review Solution for Number 14
Problem 15: ECE Board April 1991
Simplify:
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A. -5a
B. -3a
C. -7a
D. -4a
View Answer:
Answer: Option C
Solution:Review Solution for Number 15
Problem 16:
Solve for x:
A. b + 4
B.
C.
D. b – 4
View Answer:
Answer: Option D
Solution:Review Solution for Number 16
Problem 17: ECE Board April 1993
Solve for y:
A. x – z
B. x + z
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C. a + b
D. a – b
View Answer:
Answer: Option B
Solution:Review Solution for Number 17
Problem 18: ME Board October 1996
Resolve
into partial fraction.
A.
B.
C.
D.
View Answer:
Answer: Option C
Solution:Review Solution for Number 18
Problem 19: CE Board May 1996
Find the value of A in the equation:
A. -2
B. 1/2
C. -1/2
D. 2
View Answer:
Answer: Option D
Solution:Review Solution for Number 19
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Problem 20: ME Board October 1996
The value of (3 to 2.5 power) square is equal to:
A. 729
B. 140
C. 243
D. 81
View Answer:
Answer: Option C
Solution:Review Solution for Number 20
Problem 21:
Evaluate: 64x • 4y
A. 256xy
B. 4x + 3y
C. 64x + 3y
D. 43x + y
View Answer:
Answer: Option D
Solution:Review Solution for Number 21
Problem 22: ECE Board April 1993
Solve for x in the following equations.
27x = 9y
81y3 – x = 243
A. 1
B. 1.5
C. 2
D. 2.5
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View Answer:
Answer: Option A
Solution:Review Solution for Number 22
Problem 23: ECE Board April 1993
Evaluate:
A. y = 5n
B. y = 9
C. y = 52n
D. y = 18
View Answer:
Answer: Option B
Solution:Review Solution for Number 23
Problem 24: ECE Board April 1990
Given: (an)( am) = 100,000 anm = 1000000
Find a:
A. 12
B. 9
C. 11
D. 10
View Answer:
Answer: Option D
Solution:Review Solution for Number 24
Problem 25: ECE Board November 1991
11/22
Give the factors of a2 – x2
A. 2a – 2x
B. (a + x)(a – x)
C. (a – x)(a + x)
D. 2x – 2a
View Answer:
Answer: Option B
Solution:Review Solution for Number 25
Problem 26: ME Board October 1996
Factor the expression x2 + 6x + 8 as completely possible.
A. (x + 4)(x + 2)
B. (x – 4)(x + 2)
C. (x – 4)(x – 2)
D. (x + 6)(x + 2)
View Answer:
Answer: Option A
Solution:Review Solution for Number 26
Problem 27: ECE Board November 1990
Expand: (a – b)3 = ?
A. a3 – 3a2b + 3ab2 + b3
B. a3 – 3a2b – 3ab2 – b3
C. a3 + 3a2b + 3ab2 – b3
D. a3 – 3a2b + 3ab2 – b3
View Answer:
Answer: Option D
Solution:Review Solution for Number 27
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Problem 28:
Find the value of k so that 4x2 + 6x + k is a perfect square.
A. 36
B. 2.5
C. 9
D. 2.25
View Answer:
Answer: Option D
Solution:Review Solution for Number 28
Problem 29: ME Board April 1995
Factor the expression 3x3 – 3x2 – 18x
A. 3x(x – 3)(x + 2)
B. 3x(x + 3)(x + 2)
C. 3x(x + 3)(x – 2)
D. 3x(x – 3)(x – 2)
View Answer:
Answer: Option A
Solution:Review Solution for Number 29
Problem 30:
If p – q = 5 and pq = k/2, then p2 + q2 equals,
A. k
B. 25k
C. 25 + k
D. k/25
View Answer:
Answer: Option C
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Solution:Review Solution for Number 30
Problem 31: ME Board April 1995
Simplify:
A.
B.
C.
D.
View Answer:
Answer: Option C
Solution:Review Solution for Number 31
Problem 32: ME Board April 1998
Find the value of x which will satisfy the following expression:
A. 3/2
B. 9/4
C. 18/6
D. None of these
View Answer:
Answer: Option D
Solution:Review Solution for Number 32
Problem 33:
Simplify:
14/22
A.
B.
C.
D.
View Answer:
Answer: Option A
Solution:Review Solution for Number 33
Problem 34: ME Board April 1996
If x to the ¾ power equals 8, x equals
A. -9
B. 6
C. 9
D. 16
View Answer:
Answer: Option D
Solution:Review Solution for Number 34
Problem 35:
Solve for x:
A. 3
B. 23
C. 3 and 23
D. 20
15/22
View Answer:
Answer: Option A
Solution:Review Solution for Number 35
Problem 36: CE Board November 1991
Solve for x from the given equation:
A. 4
B. 2
C. 3
D. 5
View Answer:
Answer: Option B
Solution:Review Solution for Number 36
Problem 37: EE Board October 1997
If f(x) = 2x2 + 2x + 4, what is f(2)?
A. 4x + 2
B. 16
C. x2 + x + 2
d. 8
View Answer:
Answer: Option B
Solution:Review Solution for Number 37
Problem 38: EE Board April 1997
If n is any positive integer, when
(n – 1) (n – 2) (n – 3)… (3)(2)(1) =
16/22
A. e(n – 1)
B. (n – 1)!
C. n!
D. (n – 1)n
View Answer:
Answer: Option A
Solution:
Problem 39:
What is the least common multiple of 15 and 18?
A. 3
B. 5
C. 90
D. 270
View Answer:
Answer: Option C
Solution:Review Solution for Number 39
Problem 40: ECE Board April 1998
What is the lowest common factor of 10 and 32?
A. 320
B. 2
C. 180
D. 90
View Answer:
Answer: Option B
Solution:Review Solution for Number 40
Problem 41:
17/22
The numbers 12 and 16 has the greatest common divisor of
A. 2
B. 4
C. 6
D. 192
View Answer:
Answer: Option B
Solution:Review Solution for Number 41
Problem 42: EE Board April 1996, EE Board March 1998
The Polynomial x3 + 4×2 – 3x + 8 is divided by (x – 5), then the remainder is,
A. 175
B. 140
C. 218
D. 200
View Answer:
Answer: Option C
Solution:Review Solution for Number 42
Problem 43:
Find the quotient of 3x5 – 4x3 + 2x2 + 36x + 48 divided by x3 – 2x2 + 6.
A. 3x2 – 4x – 8
B. 3x2 + 4x + 8
C. 3x2 – 6x – 8
D. 3x2 + 6x + 8
View Answer:
Answer: Option D
Solution:Review Solution for Number 43
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Problem 44: CE Board November 1997
Find the remainder if we divide 4y3 + 18y2 + 8y – 4 by (2y + 3).
A. 10
B. 11
C. 15
D. 13
View Answer:
Answer: Option B
Solution:Review Solution for Number 44
Problem 45: ECE Board November 1999
Given: f(x) = (x + 3)(x – 4) + 4. When f(x) is divided by (x – k), the remainder is k. Find k.
A. 2
B. 4
C. 6
D. 8
View Answer:
Answer: Option B
Solution:Review Solution for Number 45
Problem 46:
The expression x4 + ax3 + 5x2 + bx + 6 when divided by (x – 2) leaves a remainder of 16
and when divided by (x + 1) leaves a remainder of 10. Find a and b.
A. a = 5, b = 7
B. a = -5, b = 7
C. a = -5, b = -7
D. a = 5, b = -7
View Answer:
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Answer: Option B
Solution:Review Solution for Number 46
Problem 47:
The mean of x and y is a, the mean of y and z is b and the mean of x and z is c. What is the
mean of x, y, and z?
A.
B.
C.
D.
View Answer:
Answer: Option A
Solution:Review Solution for Number 47
Problem 48: ECE Board April 1999
Find the mean proportional of 4 and 36.
A. 72
B. 24
C. 12
D. 20
View Answer:
Answer: Option C
Solution:Review Solution for Number 48
Problem 49: ECE Board April 1998
The arithmetic mean of 80 numbers is 55. If two numbers namely 250 and 850 are removed,
what is the arithmetic mean of the remaining numbers?
A. 42.31
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B. 50
C. 38.62
D. 57.12
View Answer:
Answer: Option A
Solution:Review Solution for Number 49
Problem 50: ECE Board April 1998
The arithmetic mean of 6 numbers is 17. If two numbers are added to the progression, the
new set of numbers will have an arithmetic mean of 19. What are the two numbers if their
difference is 4?
A. 21, 25
B. 23, 27
C. 8, 12
D. 16, 20
View Answer:
Answer: Option B
Solution:Review Solution for Number 50
NEXT: MCQ in Fundamentals in Algebra Part 2 | Math Board Exam
Online Questions and Answers in Fundamentals in Algebra Series
Following is the list of practice exam test questions in this brand new series:
MCQ in Fundamentals in Algebra
Online Questions and Answers in Algebra and General Mathematics Series
Following is the list of multiple choice questions in this brand new series:
MCQ in Algebra and General Mathematics
MORE ON: MCQ in Algebra and General Mathematics Series
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