Directions (1-5): Study the given graph carefully to answer the questions:
The bar graph shows the production of wheat, sugarcane and millet (in tonnes) in 5 different states.
Q1. Find the total production of millet in five different states together? (in tonnes)
Q2. Total production of millets, sugarcane and wheat in UP is what approximate percent of the total production of millets, sugarcane and wheat in Maharashtra.
Q3. What is the difference between the total production of wheat in all the five states and the total production of sugarcane in all the five states together ?
Total production of Sugarcane = 10 + 10 + 20 + 5 + 15 = 60 tonnes
Required percentage = 70 – 60 = 10 tonnes
Q4. Find the ratio between the total production of millets, sugarcane and wheats in Bihar and M.P. together to the total production of millets, Sugarcane and Wheats in Delhi.
Total production in Delhi = 37.5 tonnes
Required ratio = 82.5 : 37.5 = 11 : 5
Q5. What is the average of total production of wheat in all the five states together ?
Required average = 70/5 = 14 tonnes
Q6. In how many different ways can the letters of the word “AWARENESS” be arranged. So that vowels never come together ?
Q7. Find the probability if two dice are tossed and having same number on all dices ?
Favorable events for same number = (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
Required probability = 6/36 ⇒ 1/6
Q8 In how many different ways can the letters of the word “RETAIL” be arranged in such a way that the vowels placed only the odd positions ?
Number of ways to arrange vowels = 3! = 6 ways
And number of ways to arrange consonants = 3! = 6 ways
Total number of ways = 6 × 6 = 36
Q9. In how many ways 9 friends can be seated in circular sitting arrangement ?
= (9-1)!= 8!
= 40320
Q10. A wooden box has 18 cm × 12 cm × 11 cm (including thickness also) and the thickness is 2 cm. Find the volume of wood ?
Internal volume = (14 × 8 × 7) = 784 cm³
Volume of wood = 1592 cm³
Directions (11 -15) Simplify the following questions and find the value of (?).
Q11. 3421 + 5678 – 7654 =?
Q12. 41% of 400+ 51% of 700 – 40% of 890 =?
= 521 – 356 = 165
Q13. 836 ÷ 4 × 5 + 128 – 768 =?
= 405
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