Welcome to the live session of Data Sufficiency. The questions discussed on July 1, 2017 during the live session follow the embedded video. The video link next to each question will take you to the start of the part of the video where that specific question is discussed. Click the video embedded below to watch the entire session.

### Data Sufficiency questions discussed on July 1, 2017

#### Easy Questions

What is n?

- n > 10
- n < 12

Is x = 3?

- x
^{2}= 9 - x < 0

- x
Is x = 3?

- x
^{2}= 16 - x > 0

- x
If * is one of addition, subtraction, multiplication or division what is 7 * 0?

- 0 * 5 = 5
- 5 * 0 = 5

What is the area of triangle ABC?

- Two sides of the triangle measure 5 and 10
- The triangle is an isosceles triangle.

#### Medium difficulty Questions

What is the area of triangle ABC whose perimeter is 30?

- One of the angles measures 80
^{o} - The triangle is an isosceles triangle.

- One of the angles measures 80
What is the area of triangle ABC?

- Two sides measure 6 and 8
- One of the angles measures 90
^{o}

What is the value of the largest of five positive integers?

- The average is 40 and the median is 40.
- The median is 40 and the range is 70.

Is x

^{3}> x^{2}?- x > 0
- x < 1

#### Hard Questions

Is the quadrilateral ABCD a parallelogram?

- A pair of opposite sides is parallel.
- A pair of opposite sides is equal.

What is the remainder when N is divided by 14?

- N divided by 28, the remainder is 20.
- N divided by 7, the remainder is 6.

If N is a positive integer, is N

^{2}divisible by 48?- N
^{3}is a multiple of 24. - N is a multiple of 18.

- N
Is |a| > |b|?

- a > b
- (a + b) < 0

#### Very Hard Questions

Is the positive integer P prime?

- 2
^{P}- 1 is prime. - P + 4 is a perfect square.

- 2
Is the positive integer N divisible by 12?

- 2N has lesser number of factors than 3N.
- 3N has lesser number of factors than 5N.

Consider triangle ABC with AB = 6 cm. Which is the smallest side of this triangle?

- BC = 7 cm
- Angle ACB is 70
^{o}

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