Mathematics · Question Bank

algebra

311 questions · page 3 of 16. Answer in your head first, then check the solution.

#41📜 ME Board October 1994
How many cubic feet is \(100\) gallons of liquid?
A74.80
B1.337
C13.37
D133.7
#42📜 ME Board October 1994
How many cubic meters is \(100\) gallons of liquid?
A1.638
B3.785
C0.164
D0.378
#43📜 ME Board October 1994
How many cubic meters is \(100\) cubic feet of liquid?
A3.785
B28.31
C37.85
D2.831
#44
Ten (\(10\)) cubic meter is equivalent to how many stere?
A5
B10
C20
D100
#45📜 ME Board April 1995
The standard acceleration due to gravity is
A\(32.2 \text{ ft/s}^2\)
B\(980 \text{ ft/s}^2\)
C\(58.3 \text{ ft/s}^2\)
D\(35.3 \text{ ft/s}^2\)
#46📜 ME Board October 1996
A \(7\)-kg mass is suspended in a rope. What is the tension in the rope in SI?
A68.67 N
B70 N
C71 N
D72 N
#47
A \(10\)-liter pail is full of water. Neglecting the weight of the pail, how heavy is its water content?
A5 kg
B6.67 kg
C10 kg
D12.5 kg
#48
The unit of work in the mks system is known as joule (J) and the unit of work in the cgs system is erg. How many ergs are there in one joule?
A\(10^6\)
B\(10^7\)
C\(10^5\)
D\(10^4\)
#49📜 ME Board April 1998
One horsepower is equivalent to
A746 watts
B7460 watts
C74.6 watts
D7.46 watts
#50📜 ME Board October 1994
How many horsepower is \(746\) kilowatts?
A500
B74.6
C100
D1000
#51📜 ECE Board April 1999
If \(16\) is \(4\) more than \(4x\), find \(5x-1\).
A14
B3
C12
D5
#52📜 EE Board October 1992
Find the value of \(x\) in \(\frac{x+1}{3}+\frac{2x}{4}=47-2x\).
A16.47
B12.87
C18.27
D20.17
#53📜 EE Board October 1991
Find the value of \(x\) in the equations:
\(10[\frac{A}{x}+\frac{A}{y}]=A\)
\(2[\frac{3A}{x}-\frac{4A}{y}]=A\)
A\(50/9\)
B\(80/9\)
C\(70/9\)
D\(60/9\)
#54📜 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\(3/2\), \(5/3\)
#55📜 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\(y=3\), \(x=1\)
#56📜 ME Board October 1996
Solve the simultaneous equations:
\(2x^2-3y^2=6\)
\(3x^2+2y^2=35\)
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 \(-3\)
#57📜 CE Board May 1997
Find the value of \(w\) in the following equations:
\(3x-2y+w=11\)
\(x+5y-2w=-9\)
\(2x+y-3w=-6\)
A3
B2
C4
D-2
#58📜 EE Board October 1993
Solve for the value of \(x\).
\(2x-y+z=6\)
\(x-3y-2z=13\)
\(2x-3y-3z=16\)
A4
B3
C2
D1
#59📜 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\(x=-2\), \(y=-3\), \(z=-1\)
#60📜 EE Board April 1997
Multiply the following: \((2x+5y)(5x-2y)\)
A\(10x^2-21xy+10y^2\)
B\(-10x^2+21xy+10y^2\)
C\(10x^2+21xy-10y^2\)
D\(-10x^2-21xy-10y^2\)

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