Q.1) The distance required to stop a car varies directly as the square of its speed. If 250 feet is required to stop a cartravelling at 60 miles per hour, how many feet are required to stop a car travelling at 96 miles per hour?
[A] 780 feet
[B] 650 feet
[C] 640 feet
[D] 960 feet
C
Q.2) Four positive integers a, b, c, d are such that a, b, c are in continued proportion and b, c, d are in continuedproportion. If b : c = 2 : 3, what is the minimum value of (a + d)?
[A] 35
[B] 38
[C] 48
[D] 45
C
Q.3) If \frac { d }{ a+b+c } = \frac { c }{ a+b+d } = \frac { b }{ a+c+d } = \frac { a }{ b+c+d } = p, Find the sum ofthe possible values of p.
[A] 1/3
[B] -2/3
[C] 3
[D] None of these
B
Q.4) Annie, Bhuwan, Celina and Danish had some money in the ratio 6:9:4:5. Annie decided to distribute x% of themoney she had among the other three because of which the ratio became 3:15:10:8. What is the value of x?
[A] 66.66
[B] 75
[C] 60
[D] 50
C
Q.5) The intensity of light produced by a light source varies inversely as the square of the distance from the source.If the intensity of light produced 3 feet from a light source is 750 foot-candles, find the intensity of light produced 5feet from the same source.
[A] 270 foot-candles
[B] 320 foot-candles
[C] 360 foot-candles
[D] None of these
20
Q.6) A, B, C and D bought a certain number of apples. A bought half the number of apples bought by the other three.B bought one-third the number of apples bought by the other three, while C bought one-fifth the number of applesbought by the other three. If each of them bought a distinct number of apples, find the ratio of the number of applesbought by D to the total number of apples bought by all four.
[A] 1 : 3
[B] 1 : 4
[C] 2 : 5
[D] Can’t be determined
B
Q.7) Under certain conditions, the thrust ‘T’ of a propeller varies jointly as the fourth power of its diameter ‘d’ andthe square of the number of revolutions per second ‘n’. If n is doubled and d is halved, the thrust ‘T’ is decreased by
[A] 75%
[B] 66.66%
[C] 25%
[D] 50%
C
Q.8) If a:b = 2:3, b:c = 1/2:1/5, c:d = 1.75, d:e = 1.2 and e:f = 3. Find the value of abc : def.
[A] 441 : 21
[B] 3087 : 8
[C] 1029 : 10
[D] None of these
C
Q.9) The ratio of incomes of A and B is 7:5 and the ratio of their savings is 5 : 4. If the ratio of their expenditures is11:7, then which of the following statement/s is/are true?
I. B spends 30% less than what A saves.
II. B spends 12.50% more than what he saves.
III. A spends 10% more than what he saves.
IV. A saves 20% more than what B spends.
[A] I and II
[B] II and III
[C] I and III
[D] II, III and IV
D
Q.10) The ratio of incomes of Princy and Kunjumol is 3 : 7 and the ratio of their expenditures is 13 : 30. Who doessave more? (You have to assume that these girls spend less than or equal to their income)
[A] Princy
[B] Kunjumol
[C] Cannot be determined
[D] Both save the same amount
D
Q.11) The ratios of boys to girls in three classes are 2:3, 5:6 and 8:5 respectively. The ratio of boys to girls whenclasses A and B are taken together is 7:9 and when B and C are taken together is 3:2. Find the minimum number ofstudents in class A, B and C together.
[A] 120
[B] 240
[C] 495
[D] 110
250
Q.12) Suppose hops, skips, and jumps are specific units of length. If b hops equals c skips, d jumps equals e hops,and f jumps equals g meters, then one meter equals how many skips?
[A] bdg/cef
[B] cdf/beg
[C] cdg/bef
[D] cef/bdg
250
Q.13) A long thread is cut into five pieces. Four times the first piece, thrice the second piece and twice the fourthpiece are equal. Furthermore, six times the second piece, five times the third piece and four times the last piece areequal. If all the pieces have integral length in meter then find the shortest possible length of the thread.
[A] 79 m
[B] 119 m
[C] 97 m
[D] None of these
D
Q.14) If a:b = 4:5, b:c = 1/3:1/5, c:d = 0.75, d:e = 1.25 then which of the following is necessarily an integer.
[A] de/c
[B] ab/c
[C] ce/a
[D] bc/d
A
Q.15) Indigo Airline has a free luggage allowance of f kg. If any passenger carries excess luggage, it is charged at aconstant rate per kg. The total luggage charge paid by Ananya and Nikita is Rs. 1100. If both had carried luggage oftwice the weight then they actually did, their luggage charges would have been Rs. 2000 and Rs. 1000 respectively.What was the luggage charge of Nikita initially?
[A] 800
[B] 400
[C] 700
[D] 300
A
Q.16) Amount of work done by a worker in an hour is directly proportional to square of pay per hour and inverselyproportional to cube root of number of hours he works per day. A person working 3hrs 22 minutes and 30 secondsper day @ Rs. 225 per hour can complete the work in 8 days. In how many days (approx) the same piece of work iscompleted by the worker working 8 hrs per day @ Rs. 300 per hour?
[A] 2.5 days
[B] 3 days
[C] 3.5 days
[D] 4 days
D
Q.17) The ratio of the ages of A and B twelve years ago was 2 : 3 and the ratio of the ages of B and C 12 years fromnow will also be 2 : 3. If the average age of A and C at present is 57 years, the ratio of the ages of B and C was/willbe 1 : 2
[A] 6 years ago
[B] 12 years ago
[C] 18 years ago
[D] 18 years from now
D
Q.18) The speed of a railway engine is 42 kmph when no compartment is attached, and the reduction in speed isdirectly proportional to the square root of the number of compartments attached. If the speed of the train carried bythis engine is 24 kmph when 9 compartments are attached, the maximum number of compartments that can becarried by the engine is
[A] 49
[B] 48
[C] 46
[D] 47
A