Q1. Veer can do a piece of work in 24 days. He started working and works for eight days and the remaining work is completed by Ayush and Mahendra together in 80/7 days. The efficiency of Mahendra is 25% less than Ayush. In how many days, Mahendra and Veer working together can finish the whole work?
(a) 8 days
(b) 10 days
(c) 12 days
(d) 15 days
(e) 18 days
Q2. There are two vessels A and B. Vessel A contains (x + 24) liters mixture of milk and water in the ratio of 3 : 2, while vessel B contains (x + 44) liters mixture of milk and water in the ratio of 5 : 3. If 25% of mixture from vessel A and 43.75% of mixture from vessel B is taken out, then the remaining quantity of the mixture in both the vessels become equal. Find the initial quantity of milk in vessel A and B respectively?
(a) 36 liters, 50 liters
(b) 24 liters, 56 liters
(c) 18 liters, 24 liters
(d) 40 liters, 48 liters
(e) 48 liters, 54 liters
Q4. The second lowest number of five consecutive odd number series is four more than the 5/12 th of the third highest number of a five consecutive even number series. If the average of five consecutive even number series is 60, then find the difference between the highest number of both the series?
(a) 27
(b) 29
(c) 31
(d) 33
(e) 37
Q5. The speed of Tejas express and Rajdhani express is 108 km/hr and 144 km/hr respectively. Tejas express crossed stationary Shatabdi express in 52/3 sec.If the ratio of length of Tejas express, Shatabdi express and Rajdhani express is 6 : 7 : 8.Then in what time, Rajdhani express will cross Tejas express if both are running in the same direction?
(a) 48 sec
(b) 56 sec
(c) 42 sec
(d) 40 sec
(e) 36 sec
Directions (6-10): Percentage of students interested in studying different subjects (Hindi, English, Computer, Math, Science, Sanskrit) in Pie chart & percentage of girls interested in studying these subjects in bar graph.
RATIO OF BOYS: GIRL = 5:3
TOTAL STUDENTS = 48,000
Q6. For which of the subjects, the ratio of percentage of student interested in that subject to the percentage of girls interested in that subject is minimum?
(a) Science
(b) Computer
(c) Math
(d) English
(e) None of these
Q7. What is the difference between the no. of girls interested in studying computer and that of science?
(a) 1.5 thousand
(b) 2.2 thousand
(c) 1.8 thousand
(d) 1.9 thousand
(e) None of these
Q8. What is the ratio of the no. of boys interested in Computer and English together to that of girls interested in studying Sanskrit and Math together?
(a) 124 : 117
(b) 128 : 119
(c) 19 : 17
(d) 23 : 19
(e) None of these
Q9. What is the ratio of the no. of students interested in studying maths and Sanskrit together to that interested in Hindi and Science together?
(a) 23 : 32
(b) 34 : 43
(c) 101 : 130
(d) 11 : 32
(e) None of these
Q10. No. of girls studying Hindi and English together is approximately what percent of the no. of boys studying the same subject?
(a) 27%
(b) 30%
(c) 17%
(d) 23%
(e) 21%
Directions (11-15): In the given question, two equations numbered I and II are given. You have to solve both the equations and
Give answer:
(a) If x < y
(b) If x > y
(c) If x ≥ y
(d) If x ≤ y
(e) If relationship between x and y cannot be established.
Solution:
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