Q1. There are 26 playing cards marked with alphabetical order A to Z. What is the probability of selecting vowels listed playing cards ?
Vowel listed playing cards (m) = 5
P(A) = 5/26
Q2. In how many different ways can the letters of the word “ANTONYMS” be arranged so that vowels always come together ?
Q3. The area of a triangle is 4116 cm² and its sides are in the ratio 25 : 24 : 7. The parameter of triangle is
Q4. The length and the breadth of rectangular field are in the ratio of 8 : 7. If charges of the painting the boundary of rectangle is @ Rs. 20 per meter is Rs. 3000. What is the area of rectangular plot ?
2 (8x + 7x) = 150
15x = 75
x = 5 meter
Area of rectangular plot = 8x × 7x
= 56 × 25
= 1400 m²
Q5. 6 matches are to be played in a cricket tournament. In how many ways can result be decided ?
So, number of ways = 3 × 3 × 3 × 3 × 3 × 3 = 729 ways.
Directions (6-10): What value should come in place of (x) in the following questions
Q6. (98)² + (x) = (150)² - (80)² - 737
? = 5759
Q7. 18.657 – 7.549 – 4.111 – 1.630 = x
Directions (11-15): Study the following bar graph which shows import of three different things (in tonnes) over five different years by India from foreign countries
Observe the bar-graph and answer the following questions.
Q11. Crude oil imported in the year 2008 is approximately what percent of crude oil imported in the year 2007?
Q12. Find the average of Gold imported over all the years (in tonnes)
Q13. The electronic goods imported in year 2007 and 2008 together is what percent of crude oil imported in 2006 and 2007 together?
Q14. Find the difference between total import of gold and total import of electronic goods over all the years.
= (225 + 275 + 250 + 275 + 400) – (175 + 225 + 300 + 275 + 375)
= 75 tonnes
Q15. What is the ratio of total import of crude oil to total import of gold from 2004 to 2006 together?