GRE QUANT STATISTICS AND GEOMETRY
- 1. GRE QUANT STATISTICS AND GEOMETRY PROBLEMS mathews.suman@gmail.com
- 2. mathews.suman@gmail.com NO. FREQ 1 10 2 20 3 18 5 12 NO FREQ 6 24 7 17 8 10 9 9 X and Y have 60 numbers. Average of X = 2.7, Average of Y = 7.1 Z has 120 numbers, 60 numbers in X and 60 in Y YX
- 3. mathews.suman@gmail.com Compare the 2 quantities Quantity A Average of 120 numbers in Z Quantity B Median of 120 numbers in Z Mean = 2.7 60 +7.1(60) 120 = 4.9
- 4. mathews.suman@gmail.com To find the median, we calculate the cumulative frequency NO F C F 1 10 10 2 20 30 3 18 48 5 12 60 6 24 84 7 17 101 8 10 111 9 9 120 120 2 = 60 For 60 in the cumulative frequency, Value of the no is 5 Median = 5 Quantity B is greater
- 5. mathews.suman@gmail.com A certain clock has a minute hand exactly 3 times as long as its hour hand. Point C is at the tip of the minute hand and point D is at the tip of the hour hand. What is the ratio of the distance that point C and D travel in 6 hours a). 3:1. b) 6:1. c) 12:1. d) 24:1. e) 36:1 Let the length of the hour hand = x Length of the minute hand = 3x
- 6. mathews.suman@gmail.com Distance covered by the minute hand C in 1 hour = 2𝜋 3𝑥 = 6𝜋𝑥 Distance covered by the minute hand C in 6 hours = 36𝜋𝑥 Since in 1 hour the minute hand covers the entire circumference 1n 12 hours the hour hand D covers the entire circumference.
- 7. mathews.suman@gmail.com Distance covered by the hour hand in 12 hours = 2𝜋𝑥 Distance covered by the hour hand in 1 hour = 2𝜋𝑥 12 = 𝜋𝑥 6 Distance covered by the hour hand D in 6 hours = 𝜋𝑥 Ratio of the distance travelled by C : D = 36𝜋𝑥 𝜋𝑥 = 36: 1 Ans = e
- 8. mathews.suman@gmail.com o A B Length of AB = 14 cm O is the centre of the circle Quantity A Area of the circle Quantity B 49 𝜋
- 9. mathews.suman@gmail.com If d denotes the diameter of the circle ,d> 14 cm Radius >7 cm Area >49𝜋 Quantity A is greater Diameter is the longest chord
- 10. mathews.suman@gmail.com P Q R 6 4 X Y Z 9 Triangles PQR and XYZ are similar PQ= 6 cm, PR = 4 cm, XY = 9 cm Find length of XZ
- 11. mathews.suman@gmail.com If 2 triangles are similar, their corresponding sides are proportional 𝑃𝑄 𝑋𝑌 = 𝑃𝑅 𝑋𝑍 6 9 = 4 𝑋𝑍 XZ = 6 cm ************************