Math Set

1. What is the perimeter of the triangle with vertices A (-4, 2), B(0,-1) and C(3,3)?

a)      7 + 3√2 b) 10 + 5√2 c) 11 +6√2 d) 5 + √2

2. If the mid point between the points (a+b, a-b) and (-a, b) lies on the line ax + by = k, what is k equal t ?

a)      a/b b) a+b c) ab d)  a-d

3. Three dice are thrown. What is the probability that the same number will appear on each of them?

a)      1/6 b) 1/18 c) 1/24 d) 1/36

4. What is the probability that a leap year selected at random contains 53 Mondays?

a)1/7 b) 2/7 c) 7/366 d) 26/183

5. What is the sum of the squares of the roots of the equation x2 + 2x – 143= 0?

a)170 b)180 c) 190 d) 290

6. What is the distance between the lines 3x 4y =9 and 6x +8y=18?

a)0 b)3 units c)9 units d)18 units

7. The number 292 in decimal system is expressed in binary system by

a)100001010 b) 100010001 c) 100100100 d) 101010000

8. What is the arithmetic mean of first 16 natural numbers with weights being  the number itself?

a)17/2 b)33/2 c)11 d) 187/2

9. What is the mode for the data 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23,24, 24, 25 ?

a)7 b) 21 c) 22 d) 24

10. If ¼ , 1/x, 1/10  are in HP, then what is the value of x?

a) 5 b) 6 c) 7 d) 8

11.Which one of the following is positive in the third quadrant?

a)sin   b) cos   c) tan  d) sec 

12. P, Q and R contract a work for Rs.550. Together, P and Q are supposed to do 7/11 of the work. How much does R get?

a)Rs220  b)Rs.320 c)Rs.210 d)None of these

13.Two men undertake to do a piece of work for Rs.200/-. One alone could do it in 6 days, the other in 8 days. With assistance of a boy they finish it in 3 days. How should the money be divided?

a)200,100,75 b)100,200,75 c)75,100,200 d)None

14.X,Y and Z together earn Rs.1350 in 9 days. X and Z together earn Rs.470 in 5 days. Y and Z together earn Rs.760 in 10 days. Find the daily earning of Z?

a)Rs.170 b) Rs.150 c)Rs.20 d) None

15.A sum of money is sufficient to pay A’s wages for 21 days of B’s wages for 28 days. For how many days is the money sufficient to pay the wages of both.

a)22 days b)20 days c) 12 days d)None

16. If  two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does the slower pipe take to fill the reservoir?

a)20 hrs. b