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Q1. A frog tries to come out of a well whose inner sides are slippery. Due to the slippery walls the frog slips 20 m down in every attempt of 40 m going up. If the depth of the well is 200m then in how many attempts the frog will come out of the well?
(a) 10
(b) 9
(c) 11
(d) 12
(e) 8
Q2. There are two containers P and Q. The container P contains a mixture of acetic acid and alcohol in the ratio 11 : 13. The container Q contains same mixture as P having alcohol to acetic acid in the ratio of 7 : 5. If 48 litre mixture of container P is mixed with 36 litre mixture of container Q then find the quantity of alcohol and acetic acid respectively in new mixture formed by mixing these two.
(a)49L, 35 L
(b)11L, 73 L
(c)47L, 37 L
(d)52L, 32 L
(e)45L, 39 L
Q3. Two persons Mr. X and Mr. Y go to their office. Mr. X goes 12 km by bus and then hires a taxi for the remaining distance. Mr. Y goes 16 km by bus and then by train for the remaining distance. Travelling by taxi Mr. X stuck for 30 minutes in traffic while Mr. Y becomes late by 45 minutes due to stoppings of train at intermediate stations. If average speed of taxi and train be 20 km/h and 60 km/h respectively and distance of their offices from their homes (Mr. X and Mr. Y’s home) be 42 km and 106 km respectively. If total time taken by Mr. X and Mr. Y to reach their offices is 3 h and 5/2 hours respectively then find the speed of buses in case of Mr. X and Mr. Y respectively.
(a) 8 km/h, 8 km/h
(b) 32 km/h, 16 km/h
(c) 16 km/h, 24 km/h
(d) 8 km/h, 16 km/h
(e) None of these
Q4. Ravi and Raju can do a piece of work in 30 and 45 days respectively. They started working together and after 6 days from their start Raju leaves and a new person Sohan whose efficiency is 5/4 of that of Raju joins Ravi. In how many days remaining work will be complete now?
(a) 120/11 days
(b) 130/11 days
(c) 13 days
(d) 8 days
(e) 125/11 days
Q5. A person lends Rs. 20,000 from bank. Bank charges compound interest for three years at three different rates 5%, 10% and 20% per annum for first, second and third year respectively. Find the total interest paid by man to the bank after three years.
(a) Rs. 7,270
(b) Rs. 7,720
(c) Rs. 8,720
(d) Rs. 6,720
(e) Rs. 7,740
Directions (6 – 10): The following pie-chart shows the total no. of students who appealed for scrutiny of their result of (10 + 2) exam in the year 2017 from five different cities of UP. Also the table shows ratio of male to female in them. Study the graphs carefully to answer the following questions.
Q6. What is the average no. of male students from Allahabad, Kanpur and Mau together who appealed for scrutiny of their result?
(a) 9,750
(b) 9,570
(c) 9,705
(d) 8,750
(e) 10,450
Q7. Total no. of female students from Gorakhpur is what percent more or less than the total no. of male students from Lucknow who appealed for scrutiny?
(a) 200/9%
(b) 400/9%
(c) 500/9%
(d) 700/9%
(e) 550/9%
Q8. After scrutiny if marks of each student from Kanpur is decreased by 10% and marks of each student from Mau is increased by 10% then the marks obtained by a student from Kanpur is how much percent less than the marks obtained by a student from Mau?
(a) 200/11%
(b) 30%
(c) 35%
(d) can’t be determined
(e) None of these
Q9. From which city least no. of female students have appealed for scrutiny?
(a) Allahabad
(b) Gorakhpur
(c) Mau
(d) Kanpur
(e) Lucknow
Q10. Find the total no. of students from Allahabad, Gorakhpur and Lucknow together who appealed for scrutiny of the result.
(a) 42,400
(b) 44,200
(c) 44,400
(d) 46,400
(e) 44,000
Directions (Q.11-15): In the following questions two equations numbered I and II are given. You have to solve both the equations and
Give answer (a) if x > y
Give answer (b) if x ≥ y
Give answer (c) if x < y
Give answer (d) if x ≤ y
Give answer (e) if x = y or the relationship cannot be established.
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