Exercise 70

If ( cfrac{x}{0.25} = 7.32 ), then the numerical value of ( x ) is: 1.829 1.82 1.83 18.30 18.32 Try to solve it before checking the answer. Answer 1.83 Step by Step Solution [ frac{x}{0.25} = 7.32 Rightarrow x = (0.25) (7.32) = boldsymbol{1.83} ] [ begin{aligned} &frac{x}{0.25} = 7.32 \[2em] &hspace{2em} Rightarrow x […]

Exercise 69

The points on the Cartesian plane (2, 3) and (3, 5) satisfy the equation: [ ax + by + 1 = 0 ] Then the value of (a) is: ( -2 ) ( 1 ) ( 7 ) ( 2 ) ( -1 ) Try to solve it before checking the answer. Answer ( -2 […]

Exercise 68

In the figure, ( overline{AO} = 4 ). What is the area of the shaded region? ( pi ) ( 3pi ) ( 2pi ) ( 6pi ) ( 4pi ) Try to solve it before checking the answer. Answer ( 4pi ) Step by Step Solution Indeed; let be: ( A_{so} ): area of […]

Exercise 67

The average of three numbers is ( x ). If one of the three numbers is ( x + 4 ), then the average of the other two is: ( 2x – 4 ) ( frac{x – 4}{2} ) ( x – 4 ) ( x – 2 ) ( frac{x + 2}{2} ) Try […]

Exercise 66

Peter, when asked by his son Junior how old he is, replies: “I am three times my son’s age, and 10 years ago, we were 60 years old combined”. How old is Junior? 25 30 15 20 10 Try to solve it before checking the answer. Answer 20 Step by Step Solution Let ( x […]

Exercise 65

It is known that ( x ) and ( y ) are two-digit numbers, according to the table below: 26 12 48 55 24 (x) 21 62 55 84 (y) 42 What is the most likely minimum result of ( x + y )? 110 154 160 120 144 Try to solve it before checking […]

Exercise 64

The exponent of the resulting power after reducing the expression ( 2^{2^2} cdot 2^{ 2^{ 2^2 } } cdot left( 2^3 right)^{3^3} ) to its simplest form is: 117 101 113 107 105 Try to solve it before checking the answer. Answer 101 Step by Step Solution According power rules, we have: [ begin{aligned} 2^{2^2} […]

Exercise 63

The sum of two numbers is 113, their quotient is 6, and the remainder is 8. The difference between the larger number and three times the smaller number is: 59 38 53 7 56 Try to solve it before checking the answer. Answer 53 Step by Step Solution Let ( x ) and ( y […]

Exercise 62

Given the vectors ( vec{x} ) and ( vec{y} ) shown in the illustration, the vector ( vec{w} ) represents: ( vec{x} + vec{y} ) ( vec{y} – vec{x} ) ( – vec{x} + (- vec{y}) ) ( vec{x} + ( – vec{y} ) ) ( – ( vec{x} + vec{y} ) ) Try to […]

Exercise 61

Given that ( x^9 = – 19683 )   and   ( x^7 = -2187 ), what is the value of ( x )? ( 9 ) ( 3 ) ( -3 ) ( 17496 ) ( -9 ) Try to solve it before checking the answer. Answer ( -3 ) Step by Step Solution […]