SSC CGL Tier-2 9-March-2018 Maths-shift-1

Instructions

The table given below shows the production of maize by 5 different states as a percentage of total production. Each state produces only maize and rice. There are three types of rice — R1, R2 and R3. The table also shows the R1 type of rice produced as a percentage of total rice production and the ratio of R2 and R3 type of rice. Total production by each state is 625000.

Question 61

A = Average of the R3 type of rice produced by state H, R, S and X together.
B = Difference between the R2 type of rice produced by state T and R1 type of rice produced by state R.
What is the value of B - A?

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Question 62

F = Total production of R2 type of rice by all the states.
K = Average of the total production of R1 type of rice by all the states.
What is the value of K/F?

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Instructions

For the following questions answer them individually

Question 63

If x beakers of 100 ml containing 1:4 acid-water solution are mixed with y beakers of 200 ml containing 3:17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19:91. Find x:y.

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Question 64

In what ratio should 20% ethanol solution be mixed with 40% ethanol solution to obtain a 28% ethanol solution?

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Question 65

A and B start a business by investing equal amounts. Four months later, C joins them by investing Rs 3.5 lakhs. By withdrawing his investment in the business B leaves the business 4 months after C joined. At the end of the year the business makes Rs 62,400 profit out of which A collects Rs 24,000 as his share of profit. How much should be paid to C (in Rs) as his share of profit?

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Question 66

A and B invest in a business in the ratio 3 : 7. The business makes a profit of Rs 60,000 in 1 year. They decide to distribute the profit remaining after reinvesting 40% of the profit. How much will A get (in Rs)?

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Question 67

A can do a work in 72 days and B in 90 days. If they work on it together for 10 days, then what fraction of work is left?

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Question 68

A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for B alone to paint the house?

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Question 69

C is 5 times as productive as B. A takes 60 days to complete a task. If A, B and C work together they can complete the task in 12 days. In how many days can B complete the task if he worked alone?

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Question 70

A can complete 50% of a job in 9 days and B can complete 25% of the job in 9 days if they worked alone. If they worked together how much of the job (in %) can they complete in 9 days?

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