Directions (1-5): The table below gives the details about students living in a hostel of school ‘ABC’.
Note: Pure-vegetarians are the students who eat neither egg nor meat. Further, those who eat meat do not eat egg and vice-versa. Those who are non-vegetarian eat only meat or egg. Some values are missing. You have to calculate these values as per given data in the questions.
Q1. Out of eggetarian students, belonging to class VI, 75% are boys and 12% of the girls of class VI eat egg. If the ratio ‘meat: egg’ eater for class X is same as its ratio of no. of boys to no. of girls, then find the ratio of number of girls in class VI to number of students of class X who eat meat.
(a) 10 : 3
(b) 5 : 9
(c) 4 : 7
(d) 2 : 7
(e) 5: 8
Q2. If the number of students of class VIII who eat egg is 80 less than the total number of students in class VIII, then find the total number of students in class VIII?
(a) 140
(b) 100
(c) 160
(d) 120
(e) 210
Q4. If all the girls in class XI are pure vegetarians, then for class XI, find the ratio of number of boys eating eggs to the number of boys who are pure vegetarians?
(a) 3 : 7
(b) 3 : 5
(c) 7 : 3
(d) 5 : 3
(e) 4: 5
Q5. If the number of non-vegetarian students in class VII is 14.2/7% more than the number of students from class IX who eat meat, then find the total number of students in class VII?
(a) 120
(b) 130
(c) 140
(d) 150
(e) 160
Directions (6-10): In each of these questions, two equations I and II are given. You have to solve both the equations and give answer
Q11. Two boats P and Q are travelling in Yamuna river from point A and B respectively. Boat P is travelling from A to B while Q is travelling from B to A. The speed of boat ‘P’ in still water is 66⅔% more than the upstream speed of boat Q. Yamuna river is flowing from A to B with a speed of 2 km/hr. If distance between A and B is 48 km and both meets to each other at 32 km distance from point A, then how much distance boat Q will travel in that time in which P reaches to bank B?
(a) 32 km
(b) 36 km
(c) 24 km
(d) can’t be determined
(e) 16 km
Q12. A boat takes total 10 hour in going 40 km upstream and again returning to starting point in downstream, while the same boat takes 4 hour more time to cover 24 km in upstream than in downstream. Speed of boat in still water is what percent of upstream speed of boat?
(a) 400%
(b) 300%
(c) 350%
(d) 25%
(e) 150%
Q13. Rahul can swim twice as fast as Rishabh. Rahul gives 200 m lead to Rishabh and both start swimming along the current to cover a distance of 3.6 km. However, Rahul beats Rishabh by 700 m. If speed of current is 10/9 m/sec, then speed of Rishabh in still water (in km/hr) is:
(a) 2
(b) 4
(c) 3
(d) 5
(e) 2.5
Q14. A and B are 25 km apart. If they travel towards each other, they meet after one hour. ‘A’ travels faster than B. Find the speed of A, if he overtakes B after 5 hours, moving in the direction of B.
(a) 10 km/hr
(b) 12.5 km/hr
(c) 15 km/hr
(d) 20 km/hr
(e) None of these
Q15. A sum of Rs. 8448 is to be divided between A and B who are respectively 18 and 19 years old in such a way that if their shares be invested at 6.25% per annum at compound interest, they will receive equal amounts on attaining the age of 21 years. The present share of A is:
(a) Rs. 4225
(b) Rs. 4352
(c) Rs. 4096
(d) Rs. 4000
(e) Rs. 4520
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