SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Permutation and Combination

151. How many numbers are there between 100 and 1000 such that atleast one of their digits is 6?
     1. 648
     2. 258
     3. 654
     4. 252

     Answer: D

152. Find the number of triangles in an octagon.
     1. 326
     2. 120
     3. 56
     4. Cannot be determined

     Answer: C

153. Find the equation of a line whose intercepts are twice of the line 3x - 2y - 12 = 0
     1. 3x - 2y = 24
     2. 2x - 3y = 12
     3. 2x - 3y = 24
     4. None of these

     Answer: A

154. Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm.
     1. 77 sq.cm
     2. 38.5 sq.cm
     3. 35 sq.cm
     4. 70 sq.cm

     Answer: B

155. Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).
     1. 36
     2. 18
     3. 15
     4. 30

     Answer: C

156. A stairway 10ft high is such that each step accounts for half a foot upward and one-foot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway?
     1. 30 ft
     2. 33 ft
     3. 10 ft
     4. 29 ft

     Answer: D

157. How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
     1. 5¹⁰
     2. 10⁵
     3. 10P5
     4. 10C5

     Answer: A

158. In how many ways can the letters of the word EDUsatION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUsatION?
     1. 9!/4
     2. 9!/(4!*5!)
     3. 4!*5!
     4. None of these

     Answer: C

159. In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
     1. 15!/(8!)
     2. 7!*8!
     3. (15C8)*6!*7!
     4. 2*(15C7)*6!*7!

     Answer: C

160. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
     1. 24
     2. 31
     3. 32
     4. 30

     Answer: C

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