Q1. Abhishek and Ayush start travelling in same direction at 8 km/hr and 13 km/hr respectively. After 4 hours, Abhishek doubled his speed and Ayush reduced his speed by 1 km/hr and reached the destination together. How long the entire journey last ?
(a) 9 hr
(b) 8 hr
(c) 4 hr
(d) 7 hr
(e) 6 hr
Q5. Speed of current is 10 km/hr and speed of a motor boat is 80% more than speed of current. Motor boat travels 280 km downstream with its usual speed, after that it’s increased speed by ‘s’ kmph and travelled for another 280 km then it returns and covers 560 km in upstream. If boat complete whole journey downstream to upstream in 45 hr, then find the value of ‘s’?
(a) 10 km/hr
(b) 8 km/hr
(c) 6 km/hr
(d) 12 km/hr
(e) 4 km/hr
Q6. Speed of a boat in still water is 20 km/hr and speed of current is 4 km/hr, if time taken by boat to cover a distance of (d – 40) km upstream is one hour more than the time taken by boat to cover a distance of (d – 24) km in downstream, then find time taken by boat to cover a distance of (d + 48) km in downstream and in upstream both?
(a) 16.5 hours
(b) 17 hours
(c) 18 hours
(d) 17.5 hours
(e) 18.5 hours
Q9. Length of a rectangular land is twice the radius of a circle of circumference 132 cm. The land area got increased by 144 sq.cm, when a square land is attached along the breadth of the rectangle. Find area of rectangle in sq.cm.
(a) 1008
(b) 257
(c) 504
(d) 756
(e) 1512
Q10. Difference between circumference of a circular vessel (candy maker) and its diameter is 60 cm. If 40 cm2 is waste material and 16 square boxes required to pack remaining quantity of candy, then find side of each square box?
(a) 4 cm
(b) 8 cm
(c) 10 cm
(d) 5 cm
(e) 6 cm
Q13. In a bag, there are some red and total 9 black and yellow balls. Probability of selecting two red balls from that bag is 1/7 which is 250% of the probability of selecting two black balls. Find number of yellow balls in that bag if the number of black balls is even.
(a) 3
(b) 5
(c) 6
(d) 4
(e) None of these
Q15. A bag contains only two colour balls i.e. red & green. Ratio of number of green balls to red balls is 4 : 3 is four green balls taken out from the bag, then the new ratio of green balls to red balls become 8 : 9. Find the probability of that if two balls taken out from the bags and both balls will be same colour?
(a) 17/35
(b) 17/38
(c) 14/35
(d) 12/35
(e) 11/35
Solutions
