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Q1. A person can row a boat at a speed of 12 km/hr in still water. The time taken by another boat going upstream & whose speed in still water is three-fourth of that of first boat is 2 hours more than the time taken by the first boat going upstream between two points A and B. find the time taken by first boat going downstream between these two points. The speed of current is 3 km/hr.
(a) 4.8 hr
(b) 2.8 hr
(c) 2.4 hr
(d) 3.2 hr
(e) 4.2 hr
Q2. The ratio of working efficiency of Ram and Shyam is 3 : 4. They together can complete a piece of work in 24 days. They started working together & after 6 days Ram leaves and a third person Radha whose efficiency is 6/7 of that of Shyam joins Shyam. Find the time taken by Radha and Shyam together to complete the remaining work.
(a) 221/26
(b) 441/26
(c) Can’t be determined
(d) 331/26
(e) None of these
Q3. The ratio of lengths of two trains P and Q is 3 : 5. Both the trains start running from the same station in the same direction but at different time interval. The time taken by train P to cross a tunnel whose length is 50% more than the sum of the lengths of the two trains is 46 minutes less than that by train Q. Find the length of tunnel. Speed of train P and Q is 72 km/hr and 54 km/hr respectively.
(a) 88.6 km
(b) 82.4 km
(c) 8.64 km
(d) 86.4 km
(e) 76.4 km
Q4. A cow is bound with a rope at the center of a circular field. The cow can graze maximum area of 1386 m². If the side of another square field is five-seventh of that of the length of rope then what is the ratio of perimeter of circular field and square field? (take π=22/7)
(a) 3 : 5
(b) 5 : 11
(c) 11 : 5
(d) 5 : 3
(e) 10 : 7
Q5. In how many different ways the letters of the word ‘SHAKESPEAR’ can be arranged such that no two ‘A’ come together. Repetition of letters is not allowed.
(a) 10!
(b) 9!
(c) 9!/2!
(d) 10!/2!2!
(e) 10!. 2!
Directions (6-10): The following pie-chart shows the percentage distribution of students who cleared SSC-CGL Tier-II exam from six different cities.
The bar graph shows the percentage of girls in them. Study both the graph carefully and answer the related questions.
Q7. Find the total no. of boys from Allahabad, Hissar and Jaipur together who have qualified the Tier-II exam.
(a) 16,000
(b) 14,000
(c) 12,500
(d) 14,400
(e) 13,600
Q8. What is the ratio of no. of boys from Jhansi and Delhi together to the total no. of boys from Lucknow and Jaipur who have qualified Tier-II exam?
(a) 257 : 212
(b) 329 : 191
(c) 107 : 274
(d) 274 : 107
(e) 106 : 107
Q9. Find the average no. of girls from Jhansi, Hissar and Jaipur together who have qualified Tier-II exam.
(a) 613
(b) 657
(c) 713
(d) 813
(e) 513
Q10. If 10% students from Allahabad have qualified the exam by Cheating in which ratio of boys to girls was 5 : 3 then find the ratio of boys to girls from Allahabad who have qualified the Tier-II exam honestly.
(a) 11 : 3
(b) 13 : 11
(c) 5 : 7
(d) 7 : 5
(e) 15 : 13
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
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