Directions (1-5): Simplify the following problems and find the value of (?).
Q1.
Q2. (√7-3)²= ?-√252
Q4. 0.08 + 0.1 – 0.008 ×10 + 0.008 = ?
Q5. 4/9 of 7/11 of 121/12 of 81 = ?
Q6. In a box carrying one dozen of Banana, one-fourth have become bad. If 3 Banana are taken out from the box at random, what is the probability that at least one Banana out of the three Banana picked up is good ?
1-(3C₃)/(12C₃)=1-1/220=219/220
Q7. A reduction of 25% in the price of Rice enables a purchaser to obtain 2⅓ kg more for Rs. 280. Find the original price per kg of Rice.
Q8. An inlet pipe A is 4 times efficient than second inlet pipe B and takes 33 minutes less than the inlet pipe B. When will the cistern be full if both pipes are opened together?
ATQ,
x-x/4=33
⇒ x = 44 min.
∴ One minute’s work of A & B both
=1/11+1/44
=5/44
∴ Required time=44/5=8.8 min.
Q9. From a 100 litres container of milk, 10 litres of milk is replaced with 10 litres of water. After how many steps the quantity of milk will remain 72.9 litres in the final mixture?
Q10. In a classroom there are 60 girls whose average age is decreased by 1.5 months, when 1 girl aged 25 years is replaced by a new girl. Find the age of the new girl.
∴(60x-25+y)/60=x-1.5/12
⇒ –25 +y = –7.5
⇒ y = 17.5 years
Directions (11-15): Study the following pie charts and answer the related questions.
Q11. What is the ratio between no of votes acquired by BJP in Lok Sabha to votes acquired by Congress & Others in both elections?
Congress in Both elections = 70×18/100+20×10/100=14.6 crore
Others in both elections = 70×9/100+1=7.3 crore
Ratio = 28/21.9=280 :219
Q12. What is the percentage of total votes acquired by BJP in Both elections to the total no of voters in Lok sabha election 2014.?
Q13. What is the difference between the central angle of Congress & others in Vidhan Sabha and SP & BSP in Lok Sabha?
Central angle of SP & BSP in Loksabha = 20/100×360=72°
Difference = 18°
Q14. If 30 % of SP voters from Loksabha 2014 would have changed their opinion and 6/7th would have voted in favour of BJP in and rest to congress, then what will be the new composition of BJP in graph?
Q15. Find the ratio of total votes received by Others in both the elections to the votes received by the Left and AAP in Lok Sabha election?
Votes of (Left + AAP) in Loksabha election = 13×70/100=9.1 cr
Required =7.3/9.1=73/91