GMAT-Quantitative Aptitude
GMAT-Quantitative Aptitude
51. What is the measure of in radius of the triangle whose sides are 24, 7 and 25?
- 12.5
- 3
- 6
- None of these
52. What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?
- 18
- 12.5
- 12
- 14
53. 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?
- 13
- 23
- 37
- 41
54. 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?
- 30
- 51.96
- 47.32
- 81.96
55. What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?
- 3
- Infinity
- 1
- None of these
56. 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?
- Rs.192
- Rs.133
- Rs.144
- Rs.128
57. 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?
- 8 men
- 12 men
- 2 men
- 24 men
58. 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?
- 48
- 135
- 24
- None of these
59. 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?
- Rs.400 and Rs.500
- Rs.240 and Rs.300
- Rs.320 and Rs.400
- Rs.440 and Rs.550
60. 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
- 2:1
- 5:1
- 99:61
- 227:133