Q1. The probability of selection of three candidates A, B and C in an organization is 2/5, 5/6 and 4/7 respectively. Find the probability that at least one of them get selected.
(a) 107/210
(b) 97/210
(c) 67/70
(d) 63/70
(e) None of these
Q2. Marks scored by Sumit is 12.5% more than Sahil’s marks. Ajay got 6⅔% more marks then Sumit’s. If difference between marks scored by Ajay and Sahil is 40, then find the total marks scored by all three.
(a) 665
(b) 450
(c) 555
(d) 745
(e) 625
Q3. Amit’s saving is 1000 Rs more than Vikas’s saving. They both save 10% of their respective income. Amit and Vikas both invested 30% and 20% of their respective income in a scheme which offers 10% per annum for 10 months and 12 months respectively. If total interest earned by both is Rs.2500 then find the income of Vikas?
(a) 60000
(b) 48000
(c) 35000
(d) 55000
(e) 50000
Q4. A bus covers a distance A to B in three equal parts. In first part its speed is 60 km/hr in 2nd 40 km/hr and in Last 50 km/hr. At the time when Bus started from point A, a car also started from B and meet the bus after 4 hours in which car covered 400/9% distance. Find the speed of car?
(a) 40 km/h
(b) 50 km/h
(c) 60 km/h
(d) 120 km/h
(e) 30 km/h
Q5. In how many ways a committee of 5 member can be formed from 6 men and 7 women in which at least 3 men should come?
(a) 431
(b) 520
(c) 720
(d) 531
(e) 640
Q7. A boat covers a certain distance in lake whose speed of water current is zero and takes 2 hours more than the time taken to cover same distance downstream in the river. If speed of boat is 50 % more than the speed of stream of river then, find the time taken by boat to cover the same distance upstream (consider speed of boat in still water in lake and river is same) ?
(a) 10 hours
(b) 12 hours
(c) 15 hours
(d) 15/2 hours
(e) 13 hours
Q8. Find the ratio of area of a circle to area of square if perimeter of circle and square is equal?
(a) 11 : 14
(b) 11 : 4
(c) π : 11
(d) 14 : 11
(e) 2 : π
Q9. A Jar contain water and milk in the ratio of 2: 3. Some milk is added in the Jar whose amount is equal to 30% of water present in the Jar. After this some water is added whose amount is equal to 10% of quantity of milk present in Jar presently. What is the new ratio of water and milk in the Jar.
(a) 59 : 90
(b) 11 : 18
(c) 90 : 59
(d) 18 : 11
(e) 57 : 67
Q10. Bhavya have 10,000 Rs. He invested some amount in Scheme ‘A’ which offers 15% p.a. at SI and rest in Scheme ‘B’ which offers 20% p.a. at CI. Interest earned form scheme ‘A’ after 2 years is 780Rs more than interest earned form scheme ‘B’ after 2 years. Find the amount invested in Scheme ‘B’?
(a) 8000 Rs
(b) 7000 Rs
(c) 3000 Rs
(d) 2000 Rs
(e) 5000 Rs
Solutions