GMAT-Quantitative Aptitude Questions and Answers

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Q51
What is the measure of in radius of the triangle whose sides are 24, 7 and 25?
  • A 12.5
  • B 3
  • C 6
  • D None of these
Answer: Option B
Q52
What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?
  • A 18
  • B 12.5
  • C 12
  • D 14
Answer: Option B
Q53
a and b are the lengths of the base and height of a right angled triangle whose hypotenuse is h. If the values of a and b are positive integers, which of the following cannot be a value of the square of the hypotenuse?
  • A 13
  • B 23
  • C 37
  • D 41
Answer: Option B
Q54
The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?
  • A 30
  • B 51.96
  • C 47.32
  • D 81.96
Answer: Option C
Q55
What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?
  • A 3
  • B Infinity
  • C 1
  • D None of these
Answer: Option C
Q56
Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?
  • A Rs.192
  • B Rs.133
  • C Rs.144
  • D Rs.128
Answer: Option C
Q57
If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?
  • A 8 men
  • B 12 men
  • C 2 men
  • D 24 men
Answer: Option C
Q58
Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
  • A 48
  • B 135
  • C 24
  • D None of these
Answer: Option C
Q59
The monthly incomes of A and B are in the ratio 4 : 5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes?
  • A Rs.400 and Rs.500
  • B Rs.240 and Rs.300
  • C Rs.320 and Rs.400
  • D Rs.440 and Rs.550
Answer: Option A
Q60
The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is
  • A 2:1
  • B 5:1
  • C 99:61
  • D 227:133
Answer: Option D
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