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05 Oct 2018, 01:38
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[Math Revolution GMAT math practice question]
Tom’s Mom is five times as old as him. In 6 years, Tom’s Mom will be three times as old as him. How old is Tom now?
A. 3
B. 4
C. 5
D. 6
E. 7
=>
We can set up this question using the IVY approach. “Is”
can be converted to “=” and “times” can be converted to the multiplication sign “x”.
Let m and t be Tom’s Mom’s age and Tom’s age now, respectively.
Then m = 5t since Tom’s mom is five times as old as Tom.
We also have
m + 6 = 3(t + 6) since Tom’s mom will be three times as old as Tom in 6 years.
Plugging m = 5t into the second equation yields
5t + 6 = 3t + 18 or 2t = 12.
So, t = 6.
Therefore, the answer is D.
Answer: D
Tom’s Mom is five times as old as him. In 6 years, Tom’s Mom will be three times as old as him. How old is Tom now?
A. 3
B. 4
C. 5
D. 6
E. 7
=>
We can set up this question using the IVY approach. “Is”
can be converted to “=” and “times” can be converted to the multiplication sign “x”.
Let m and t be Tom’s Mom’s age and Tom’s age now, respectively.
Then m = 5t since Tom’s mom is five times as old as Tom.
We also have
m + 6 = 3(t + 6) since Tom’s mom will be three times as old as Tom in 6 years.
Plugging m = 5t into the second equation yields
5t + 6 = 3t + 18 or 2t = 12.
So, t = 6.
Therefore, the answer is D.
Answer: D
07 Oct 2018, 18:38
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[Math Revolution GMAT math practice question]
Points A(1,4), B(2,2) and C(p,1) lie on the x-y coordinate plane. If lines AB and BC are perpendicular to each other, p=?
A. -2
B. -1
C. 0
D. 1
E. 2
=>
The slope of the line segment joining the two points (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2). The product of the slopes of perpendicular lines is -1.
The slope of the line AB is (4-2)/(1-2) = -2.
Since the two lines AB and BC are perpendicular each other, the slope of BC, which is (2-1)/(2-p), must be 1/2.
So,
(2-1)/(2-p)=1/2
1/(2-p)=1/2.
Thus, 2 – p = 2, and p = 0.
Therefore, the answer is C.
Answer: C
Points A(1,4), B(2,2) and C(p,1) lie on the x-y coordinate plane. If lines AB and BC are perpendicular to each other, p=?
A. -2
B. -1
C. 0
D. 1
E. 2
=>
The slope of the line segment joining the two points (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2). The product of the slopes of perpendicular lines is -1.
The slope of the line AB is (4-2)/(1-2) = -2.
Since the two lines AB and BC are perpendicular each other, the slope of BC, which is (2-1)/(2-p), must be 1/2.
So,
(2-1)/(2-p)=1/2
1/(2-p)=1/2.
Thus, 2 – p = 2, and p = 0.
Therefore, the answer is C.
Answer: C
07 Oct 2018, 18:39
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[Math Revolution GMAT math practice question]
||2-3|-|2-5||=?
A. 1
B. 2
C. 3
D. 4
E. 5
=>
||2-3| - |2-5|| = ||-1| - |-3|| = | 1 – 3 | = | -2 | = 2.
Therefore, the answer is B.
Answer: B
||2-3|-|2-5||=?
A. 1
B. 2
C. 3
D. 4
E. 5
=>
||2-3| - |2-5|| = ||-1| - |-3|| = | 1 – 3 | = | -2 | = 2.
Therefore, the answer is B.
Answer: B
