SAT Mathematics - Algebra
Exam Duration: 45 Mins Total Questions : 30
The value of \(\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}\) =
- (a)
\(6 \sqrt{2}\)
- (b)
2
- (c)
\(2 \sqrt{6}\)
- (d)
\(\frac{2}{\sqrt 6}\)
If \(\sqrt {1+ \frac{x}{169}}=\frac{14}{13}\) , then x is equal to
- (a)
5
- (b)
3
- (c)
27
- (d)
13
If \(\sqrt{3^n}\) =729, then value of n is
- (a)
6
- (b)
10
- (c)
8
- (d)
12
If 3a = 4b = 6c and a+b+c = 27\(\sqrt{29}\) then \(\sqrt{a^2+b^2+c^2}\)
- (a)
81
- (b)
87
- (c)
\(3\sqrt{29}\)
- (d)
none of these
If 2 x 3 = \(\sqrt{13}\) and 3 x 4= 5, then the value of 5 x 12 is
- (a)
12
- (b)
13
- (c)
\(\sqrt{29}\)
- (d)
\(\sqrt{17}\)
If x*y = x+y+ \(\sqrt{xy}\) the value of 6*24 is
- (a)
43
- (b)
42
- (c)
41
- (d)
44
If x = (7 - 4 \(\sqrt3\)) then the value of (x+\(\frac{1}{x}\)) is
- (a)
\(8 \sqrt3\)
- (b)
14
- (c)
\(3\sqrt3\)
- (d)
14 + \(8 \sqrt3\)
the value of \(\frac{(x-y)^3+(y-z)^2+(z-3)^3}{9(x-y)(y-z)(z-x)}\) is equal to
- (a)
\(\frac{1}{3}\)
- (b)
\(\frac{1}{9}\)
- (c)
0
- (d)
1
x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y?
- (a)
0
- (b)
\(\frac{1}{2}\)
- (c)
2
- (d)
-1
1f 2x+3y=31,y-z=4 and x+2z=11, then what is the value of x+y+ z ?
- (a)
16
- (b)
15
- (c)
13
- (d)
12
If 5x2-13xy+y6y2 = 0 then x:y is
- (a)
(3:5) only
- (b)
(3:5) or (2:1)
- (c)
(2:1) only
- (d)
(5:3) or (1:2)
If \(\frac{1}{5}:\frac{1}{x}=\frac{1}{x}:\frac{1}{125}\), then the value of x is
- (a)
2
- (b)
2.5
- (c)
1.5
- (d)
3.5
The ratio between two numbers is 3:4 and their LCM is 180. The first number is
- (a)
45
- (b)
20
- (c)
15
- (d)
60
The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is
- (a)
7:15
- (b)
9:14
- (c)
2:1
- (d)
5:1
What must be subtracted from 2x4-11x3 + 29x2-40x+29, so that the resulting polynomial is exactly divisible by x2-3x+4?
- (a)
2x+5
- (b)
-2x+5
- (c)
3x+5
- (d)
-3x+5
Which of the following is not a quadratic polynomial?
- (a)
x2+5x+6
- (b)
x2-5x+6
- (c)
1+(x2-2x)
- (d)
(x-2)(x+2)-(x2+5x)
If the product of zeroes of polynomial ax3-6x2 +11x-6 is 6, then value of a is
- (a)
0
- (b)
-1
- (c)
2
- (d)
1
Find the zeroes of quadratic polynomial \(\sqrt3x^2+10x+7\sqrt3\)
- (a)
\(\frac{7}{3},\sqrt3\)
- (b)
\(\frac{-7}{3},-\sqrt3\)
- (c)
\(\frac{4}{3},\sqrt3\)
- (d)
none of these
ax2+hx+c=0, when a.b and c~ real, has real roots if
- (a)
b2>3ac
- (b)
c = 0
- (c)
a,b,c are integers
- (d)
none of these
If p(x) =x2-2x-3, then value of \((\frac{1}{4}).p(\frac{1}{4})\) is 11
- (a)
\(\frac{55}{16}\)
- (b)
\(\frac{-55}{16}\)
- (c)
\(-3\frac{7}{16}\)
- (d)
both B or C
If 92x+3y = 38x+12y, then y is equal to
- (a)
\(\frac{1}{3}x\)
- (b)
\(\frac{2}{3}x\)
- (c)
\(\frac{-2}{3}x\)
- (d)
none of these
If ax=b3, by=c3, cz=a3 , then the value of xyz will be
- (a)
0
- (b)
9
- (c)
27
- (d)
can't be determined
If 9x+y = 81 and 9x-y = \(\frac{1}{81}\)
- (a)
x=0,y=2
- (b)
x=2, y=-2
- (c)
x=3, y = -2
- (d)
none of these
The value of \(\sqrt{10+\sqrt{25+\sqrt{108\sqrt{154+\sqrt{225}}}}}\) is
- (a)
6
- (b)
4
- (c)
10
- (d)
8
If \(\frac{2x}{1+\frac{1}{1+\frac{x}{1-x}}}=1\) find the value of x
- (a)
\(\frac{1}{3}\)
- (b)
\(\frac{2}{5}\)
- (c)
\(\frac{2}{3}\)
- (d)
none of these
If \(\sqrt{1369}+\sqrt{0.0615+x}=37.25\) then x is equal to
- (a)
10-1
- (b)
10-2
- (c)
10-3
- (d)
none of these
Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
- (a)
5 yrs
- (b)
10 yrs
- (c)
15 yrs
- (d)
none of these
Find the HCF and LCM of the polynomials (x2-3x+2) and (x2-4x+4).
- (a)
(x-3) (x-2) (x-4) (x-5)
- (b)
(x-2) (x-3) (x-4) (x-5)
- (c)
(x-1) (x-2) (x-2)
- (d)
none of these
If (x+a) is a factor of x2+px+q and x2+Ix+m, then be value of 'a' is given by
- (a)
\(\frac{q-m}{b-1}\)
- (b)
\(\frac{l+p}{q+m}\)
- (c)
\(\frac{p-1}{q-m}\)
- (d)
\(\frac{q+m}{p+1}\)
If x2-7x+10 is a factor of x4-px2+q, then the values of p and q respectively will be
- (a)
29, 100
- (b)
28, 10
- (c)
29, 10
- (d)
none of these
