### Scholastic Aptitude Test - Mathematics - Algebra

#### Question - 1

The value of  $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$ =

• A $6 \sqrt{2}$
• B 2
• C $2 \sqrt{6}$
• D $\frac{2}{\sqrt 6}$

#### Question - 2

If  $\sqrt {1+ \frac{x}{169}}=\frac{14}{13}$ , then x is equal to

• A 5
• B 3
• C 27
• D 13

#### Question - 3

If $\sqrt{3^n}$ =729, then value of n is

• A 6
• B 10
• C 8
• D 12

#### Question - 4

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

#### Question - 5

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 $\sqrt{17}$

#### Question - 6

If y=5, then what is the value of 10y $\sqrt{y^1-y^2}$ ?

• A 100
• B 500
• C $200\sqrt5$
• D $50\sqrt2$

#### Question - 7

If x*y = x+y+ $\sqrt{xy}$ the value of 6*24 is

• A 43
• B 42
• C 41
• D 44

#### Question - 8

If x = (7 - 4 $\sqrt3$) then the value of (x+$\frac{1}{x}$) is

• A $8 \sqrt3$
• B 14
• C $3\sqrt3$
• D 14 + $8 \sqrt3$

#### Question - 9

If a-b=3 and a2+b2=29. then the value of ab

• A 15
• B 12
• C 10
• D 18

#### Question - 10

If a+b+c = 13, a2+b2+c2=69, then find ab+bc+ca

• A 50
• B 69
• C -50
• D 75