List of top Data Insights Questions

Is the number a prime number?
1. The number is divisible by a prime factor.
2. The number is positive.
Find the equation of a line.
1. Its x and y intercept is 2 and -2 respectively.
2. The slope of the line is 1.
Find the direction in which the parabola \( y = ax^2 + bx - 2 \) is facing.
1. a = b
2. a < 0
A straight line L passes through (2,8) and the origin. Find the equation of a line perpendicular to L.
1. The line passes through the origin.
2. The line passes through (2,-0.5).
Two pipes supply waters to a cistern whose capacity of 15 cubic feet. How long does it take the two pipes to fill the cistern?
1. The first pipe supplies water at a rate (per minute) that is thrice faster than the second pipe.
2. The pipes fill 8 cubic feet of the tank in ten minute.
Two numbers 12 and t are two positive numbers with some similar properties. What is the value of t.
1. The Least Common Multiple of the two numbers is 48.
2. The Greatest Common multiple of the two numbers is 4.
Is 2x + 1 > 0.
1. x is an integer
2. $|x|<1.5$
Determine the value of angle k.
1. Angle k and m lies on a straight line.
2. Angle m = 39°.
s, p and q are interior angles of an Isosceles triangle. Find the value of q.
1. s = 72°.
2. p and q are base angles of the triangle.
The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.
1. The perimeter of the square is 24 inches.
2. The sum of the length and the width is 13 inches.
A particle moving in air increases its speed within 30 minutes. Find its acceleration.
1. Its initial velocity is 20 miles per hour and its final velocity is 25 miles per hour.
2. The particle increases its speed by 5 miles per hour.
Is A an obtuse angle?
1. A is more than 90°.
2. A is a supplement of an angle B, an acute triangle.
Are the two lines L1 and L2 parallel?
1. Both lines lie in the first, second and fourth quadrants.
2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.
J and K are positive numbers. Is J/K>1?
(1) JK<1
(2) J-K>0
How many girls are members of both the Diving Team and the Swim Team?
(1) At a joint meeting of the Diving and Swim Teams, no members were absent and 18 girls were present.
(2) The Diving Team has 27 members, one-third of whom are girls, and the Swim Team has 24 members, half of whom are girls.
A codebreaking device is made up of a rectangular box filled with x cylinders of ball bearings placed together such that the diameter of the bearings and the cylinders are equal, and the cylinders line up evenly, touching, with no extra room inside the device. If the cylinders are the same height as the box, and the box is 18 inches long and 10 inches wide, what's the value of x?
(1) 9 cylinders can line up along the length of the box.
(2) Each ball bearing has a radius of 1.
What is the value of positive two-digit integer x?
(1) The sum of the two digits is 5.
(2) x is prime.
Esther is giving Christmas presents to her family members. Each family member gets the same number of presents and no presents were leftover. If each family member gets at least one present, did each family member receive more than one present?
(1) Esther has forty Christmas presents to give out.
(2) If the number of family members were doubled, it would not be possible for each family member to get at least one present.
Is y an integer?
(1) 7y is an integer.
(2) y/7 is an integer.
A certain voting bloc has how many voters?
(1) If no additional voters are added to the bloc, and 4 of the current voters leave the bloc, there will be fewer than 20 voters.
(2) If 4 more voters join the bloc and all of the present voters remain, there will be at least 27 voters.
The total cost of food for the raccoons at the Altadena Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?
(1) It costs more than $1,000 annually to feed 4 raccoons.
(2) It costs more than $1,500 annually to feed 5 raccoons.
Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?
(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.
(2) The smallest group contains 6 children.
What is the area of a triangle (with vertices at FCE) that is inscribed in a hexagon with vertices at ABCDEF?
(1) The hexagon is regular and BE = 14.
(2) EC = 7√3.
How many integers are there between m and n, exclusive, if m and n are themselves integers?
(1) m - n = 8
(2) There are 5 integers between, but not including, m - 1 and n - 1.
For integers w, x, y, and z, is wxyz = -1?
(1) wx/yz = -1
(2) w = -1/x and y = 1/z