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The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the first term of the arithmetic progression? I) The difference between the 16th term and 9th term of an arithmetic progression is 49. II) The average of 12 terms of an arithmetic progression is 40.5. III) The common difference is 5 more than the first term of the arithmetic progression.
A company recruits candidates satisfying the following criteria -  1. Candidates who secured at least 85% in standard 10th or equivalent. 2. Candidates who secured at least 65% in standard 12th or equivalent. 3. Candidates who are not from commerce background. Who among the following candidates will the company definitely select? A. Jitesh is a science student having scored 70% in standard 12th and 80% in 10th with an excellent sports background. B. Jignesh scored 80% in standard 12th, 90% in standard 10th and secured 2nd place in his college among all commerce students. C. Jayesh scored 75% in standard 10th, 75% in standard 12th and is an arts student. D. Jinesh secured 80% in standard 12th, 88% in standard 10th and is a science student with great acting skills
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A sum of 45 terms of an Arithmetic progression is 5400. The ratio between the 11th term and 51st term is 3 : 13. Find the difference between the first term of progression and the common difference between the terms of progression. Quantity II: What should come to the place of ‘?’ in the following question: 234 + 35% of 920 – 4 / 5th of 110 = 7 / 9th of 378 + ? × 87
In an arithmetic progression (AP), the 9th term is 5 times the 2nd term and the 8th term is 1 more than 10 times the first term. What is the 4th term of the geometric progression (GP) whose first term is the second term of AP and whose common ratio is equal to the common difference of AP?
45% players played in 1st world cup out of which 25 players played in only 1st world cup. 57.5% players played in 2nd world cup out of which 45 players played in only 2nd world cup. 72.5% players played in 3rd world cup out of which 110 players played in only 3rd world cup. Find the players who played in both 1st world cup and 2nd world cup but not in 3rd world cup, if total number of players is 400.
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by $$\frac{1}{6}$$ and $$\frac{1}{12}$$ respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and the total amount collected by the sale of tickets was Rs. 1088, then find the collection from the passengers of 1st class.
The sum of fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first fifteen terms of that arithmetic progression?
Choose the option which provides the correct information about the 12th Five Year Plan. A. Initially a growth target of 8% was kept by the 12th Five Year Plan. B. The government’s intention was to reduce poverty by 15% through the 12th Five Year Plan. C. One of the objectives of the 12th Five Year Plan was the creation of 50 million new work opportunities in the non-farm sector.
Three alarms are ringed on an interval. If the time interval between 1st and 2nd alarm is 220 secs, 2nd and 3rd alarm is 180 secs and time interval between 3rd and 1st alarm is 88.88% of 2nd and 3rd alarm. After how much time does they ringed together?
The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?