Mathematics · Question Bank

algebra

311 questions · page 5 of 16. Answer in your head first, then check the solution.

#81📜 ME Board April 1995
Simplify \(b^{m/n}\)
A\(\frac{\sqrt{b^m}}{n}\)
B\(b^{m+n}\)
C\(\sqrt[n]{b^m}\)
D\(\frac{b^m}{n}\)
#82📜 ME Board April 1998
Find the value of \(x\) which will satisfy the following expression: \(\sqrt{x-2}=\sqrt{x}+2\)
A\(3/2\)
B\(9/4\)
C\(18/6\)
DNone of these
#83
Simplify \(\sqrt{\frac{ab}{\sqrt[3]{ab}}}\)
A\(\sqrt[3]{ab}\)
B\(\sqrt{ab}\)
C\(\frac{ab}{\sqrt{ab}}\)
D\(\frac{ab}{\sqrt[3]{ab}}\)
#84📜 ME Board April 1996
If \(x\) to the \(3/4\) power equals \(8\), \(x\) equals
A\(-9\)
B\(6\)
C\(9\)
D\(16\)
#85
Solve for \(x\): \(\sqrt{x+2\sqrt{2x+3}}-3=0\)
A\(3\)
B\(23\)
C\(3\) and \(23\)
D\(20\)
#86📜 CE Board November 1991
Solve for \(x\) from the given equation:
\(\sqrt[4]{8\sqrt[3]{2\sqrt{8x}}}=2\)
A\(4\)
B\(2\)
C\(3\)
D\(5\)
#87📜 EE Board October 1997
If \(f(x)=2x^2+2x+4\), what is \(f(2)\)?
A\(4x+2\)
B\(16\)
C\(x^2+x+2\)
D\(8\)
#88📜 EE Board April 1997
If \(n\) is any positive integer, then \((n-1)(n-2)(n-3)\dots(3)(2)(1)\) =
A\(e^{(n-1)}\)
B\((n-1)!\)
C\(n!\)
D\((n-1)^n\)
#89
What is the least common multiple of \(15\) and \(18\)?
A\(3\)
B\(5\)
C\(90\)
D\(270\)
#90📜 ECE Board April 1998
What is the lowest common factor of \(10\) and \(32\)?
A\(320\)
B\(2\)
C\(180\)
D\(90\)
#91
The numbers \(12\) and \(16\) has the greatest common divisor of
A\(2\)
B\(4\)
C\(6\)
D\(192\)
#92📜 EE Board March 1998
The polynomial \(x^3+4x^2-3x+8\) is divided by \(x-5\) then the remainder is,
A\(175\)
B\(140\)
C\(218\)
D\(200\)
#93
Find the quotient of \(3x^5-4x^3+2x^2+36x+48\) divided by \(x^3-2x^2+6\).
A\(3x^2-4x-8\)
B\(3x^2+4x+8\)
C\(3x^2-6x-8\)
D\(3x^2+6x+8\)
#94📜 CE Board November 1997
Find the remainder if we divide \(4y^3+18y^2+8y-4\) by \((2y+3)\).
A\(10\)
B\(11\)
C\(15\)
D\(13\)
#95📜 ECE Board April 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\(8\)
#96
The expression \(x^4+ax^3+5x^2+bx+6\) 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\(a=5\), \(b=-7\)
#97
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\(\frac{a+b+c}{3}\)
B\(\frac{a+b+c}{2}\)
C\(a+b+c\)
D\(\frac{abc}{a+b+c}\)
#98📜 ECE Board April 1998
Find the mean proportional of \(4\) and \(36\).
A\(72\)
B\(24\)
C\(12\)
D\(20\)
#99📜 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\(42.31\)
B\(50\)
C\(38.62\)
D\(57.12\)
#100📜 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\(16, 20\)

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