BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
RedeemSearch found 11 matches
Re: If x > 4 and 3x - 2y = 0, then which of the following must be true?
3 x - 2y = 0; x>4
=> x = 2/3 (y)
=> (2/3) y > 4
=> y > 6
Answer: E
- by RaghavKhanna
Thu Jun 11, 2020 8:50 pm- Forum: Problem Solving
- Topic: If x > 4 and 3x - 2y = 0, then which of the following must be true?
- Replies: 3
- Views: 685
Re: If 4 < 7 - 2x < 12, how many integer values of x are there?
4 < 7 - 2x < 12
=> Subtract 7 from both sides
=> -3 < -2x < 5
=> Multiply by -1
=> 3 > 2x > -5
=> 1.5 > x > -2.5
=> Possible integral values of x = -2,-1,0,1
=> 4 values.
Answer: B
- by RaghavKhanna
Thu Jun 11, 2020 8:48 pm- Forum: Problem Solving
- Topic: If 4 < 7 - 2x < 12, how many integer values of x are there?
- Replies: 3
- Views: 614
Re: Which of the following could be the value of x, if |12 - 4x| + 2 = 6?
|12-4x| = 4 Now, Case 1: |12-4x| = 12 - 4x, when 12 - 4x>0 => x<3 => 12 - 4x = 4; x<3 => 4x = 8 => x = 2 Case 2: |12-4x| = 4x - 12, when 12 - 4x <0 => x>3 => 4x - 12 = 4 => 4x = 16 => x = 4 Out of the two possible values of x, only x = 4 is given in options. => Answer: E
- by RaghavKhanna
Thu Jun 11, 2020 8:46 pm- Forum: Problem Solving
- Topic: Which of the following could be the value of x, if |12 - 4x| + 2 = 6?
- Replies: 3
- Views: 634
If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the
Problem Solving
Re: If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the
Initial number of marbles = x
x+9 > 3x
=> 2x < 9
=> x < 4.5
=> Greatest possible number of marbles = 4
- by RaghavKhanna
Thu Jun 11, 2020 8:42 pm- Forum: Problem Solving
- Topic: If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the
- Replies: 3
- Views: 634
A total of 120 investment advisors work at a particular financial services firm, 30 in bonds and the rest inequities.
Problem Solving
Re: A total of 120 investment advisors work at a particular financial services firm, 30 in bonds and the rest inequities
Total = 120
Bonds = 30
Equities = 90
Board-certified = 50% of 120 = 60
No. of equities advisors who are board-certified = (1/3) * 90 = 30
=> No. of bond advisors who are board-certified = 30
=> No. of bond advisors who are board-certified = 30 - 30 = 0
- by RaghavKhanna
Thu Jun 11, 2020 3:13 am- Forum: Problem Solving
- Topic: A total of 120 investment advisors work at a particular financial services firm, 30 in bonds and the rest inequities.
- Replies: 2
- Views: 606
Re: Number Properties
1! + 2! + 3! + 4! + 5! + 6! + 7! + 8! + 9! + 10! = S
5! = 120 and after this, every number will have 0 in the unit's place.
=> Unit's digits of (S) = Unit's digit of (1!+2!+3!+4!) = Unit's digit of (1+2+6+24) = 3
- by RaghavKhanna
Thu Jun 11, 2020 3:06 am- Forum: Problem Solving
- Topic: Number Properties
- Replies: 2
- Views: 585
If \(AB\) is the diameter of the circle with center \(X\) and \(C\) is a point on the circle such that \(AC = AX = 3,\)
Problem Solving
Re: If \(AB\) is the diameter of the circle with center \(X\) and \(C\) is a point on the circle such that \(AC = AX = 3
Since AB is the diameter, and X is the center => AX is the radius. It is given that AX = 3 => AB = 6 Also, angles in a semi-circle are 90 degrees. => \angle ACB = 90 degrees So, in \triangle ABC, AB^2 = AC^2 + BC^2 6^2 = 3^2 + BC^2 BC = 3\sqrt{3} => Perimeter of \triangle ABC = 3 + 3 + 3\sqrt{3} = 6...
- by RaghavKhanna
Sun Jun 07, 2020 5:58 pm- Forum: Problem Solving
- Topic: If \(AB\) is the diameter of the circle with center \(X\) and \(C\) is a point on the circle such that \(AC = AX = 3,\)
- Replies: 1
- Views: 434
If \([z]\) denotes the greatest integer less than or equal to \(z\) and \([z] = -1,\) which of the following statements
Problem Solving
Re: If \([z]\) denotes the greatest integer less than or equal to \(z\) and \([z] = -1,\) which of the following stateme
[z] = greatest integer less than or equal to z
eg: [5.3] = 5
[-2.4] = -3
Now,
it is given that [z] = -1
=> z<0 because if z=0, then [z] = 0
Also, if z< -1, then [z] < -1
eg: [-1.5] = -2
=> z>=-1
Range of z => [-1,0)
- by RaghavKhanna
Sun Jun 07, 2020 2:55 am- Forum: Problem Solving
- Topic: If \([z]\) denotes the greatest integer less than or equal to \(z\) and \([z] = -1,\) which of the following statements
- Replies: 2
- Views: 770
A geometric sequence is one in which the ratio of any term after the first to the preceding term is a constant. If the
Problem Solving
Re: A geometric sequence is one in which the ratio of any term after the first to the preceding term is a constant. If t
If a,b,c,d are in G.P
Then,
b/a = c/b = d/c
This condition is only satisfied by options I and III
- by RaghavKhanna
Sun Jun 07, 2020 2:51 am- Forum: Problem Solving
- Topic: A geometric sequence is one in which the ratio of any term after the first to the preceding term is a constant. If the
- Replies: 2
- Views: 621
Re: If \(3|3 – x| = 7,\) what is the product of all the possible values of \(x?\)
|x-3| = 7/3
=> x-3 = 7/3, when x-3>0
=> x = 16/3
and,
3-x = 7/3, when x-3<0
x = 2/3
Product of possible values of x = 16/3 * 2/3 = 32/9
- by RaghavKhanna
Sun Jun 07, 2020 2:48 am- Forum: Problem Solving
- Topic: If \(3|3 – x| = 7,\) what is the product of all the possible values of \(x?\)
- Replies: 2
- Views: 1338
When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal
Problem Solving
Re: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount eq
Initial balance = x
After $200 removed : x-200 = 3x/5
=> 2x/5=200
x=500
Amount deposited = (500-200)/4 = 75
Final Balance = $375
- by RaghavKhanna
Sun Jun 07, 2020 2:36 am- Forum: Problem Solving
- Topic: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal
- Replies: 3
- Views: 614