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Question 1 of 25
1. Question
1 points(a/b)^x2=(b/a)^x7. What is the value of x ?
Correct
a^n=1 /a ^n
(a/b)^x2=(b/a)^x7
(a/b)^x2=(a/b)^(x7)
x2=(x7)
x2=x+7
x2=x+7
2x=9
x=9/2=4.5Incorrect
a^n=1 /a ^n
(a/b)^x2=(b/a)^x7
(a/b)^x2=(a/b)^(x7)
x2=(x7)
x2=x+7
x2=x+7
2x=9
x=9/2=4.5 
Question 2 of 25
2. Question
1 points(6)^6.5 × (36)^4.5 ÷ (216)^4.5 = (6)?
Correct
(6)^6.5 × (36)^4.5 ÷ (216)^4.5
= (6)^6.5 × [(6)^2]^4.5 ÷ [(6)^3]^4.5
= (6)^6.5 × (6)^9 ÷ (6)^13.5
= (6)^(6.5 + 9 – 13.5)
= (6)^2Incorrect
(6)^6.5 × (36)^4.5 ÷ (216)^4.5
= (6)^6.5 × [(6)^2]^4.5 ÷ [(6)^3]^4.5
= (6)^6.5 × (6)^9 ÷ (6)^13.5
= (6)^(6.5 + 9 – 13.5)
= (6)^2 
Question 3 of 25
3. Question
1 pointsIf (a/b)^x – 1 = (b/a)^x – 3 , then the value of x is:
Correct
Given (a/b)^x – 1 = (b/a)^x – 3
=> (a/b)^x – 1 = (a/b)^ (x – 3) = (a/b)^(3 – x)
=> x – 1 = 3 – x
=> 2x = 4
=> x = 2.Incorrect
Given (a/b)^x – 1 = (b/a)^x – 3
=> (a/b)^x – 1 = (a/b)^ (x – 3) = (a/b)^(3 – x)
=> x – 1 = 3 – x
=> 2x = 4
=> x = 2. 
Question 4 of 25
4. Question
1 points(17)^3.5 * (17)^? = 17^8
Correct
Let (17)^3.5 * (17)^x = 17^8.
Then, (17)^3.5 + x = (17)^8
3.5 + x = 8
x (83.5)
x=4.5.Incorrect
Let (17)^3.5 * (17)^x = 17^8.
Then, (17)^3.5 + x = (17)^8
3.5 + x = 8
x (83.5)
x=4.5. 
Question 5 of 25
5. Question
1 pointsIn an examination 30% of the students failed in Science, 45% of the students failed in Maths and 25% of the students failed in both subjects. Find the % of the students passed
Correct
Explanation : % of students failed = 30+4525 = 50% % of students passed = 10050 = 50%
Incorrect
Explanation : % of students failed = 30+4525 = 50% % of students passed = 10050 = 50%

Question 6 of 25
6. Question
1 pointsThe population of a village is decreased by 12% and 10% in 2 successive years. What % population is decreased after 2 years ?
Correct
Explanation : % = 12 10 + (12*10)/100 = (2200 + 120)/100 = – 2080/100 = 20.8%
Incorrect
Explanation : % = 12 10 + (12*10)/100 = (2200 + 120)/100 = – 2080/100 = 20.8%

Question 7 of 25
7. Question
1 pointsவடஇந்தியாவை ஆட்சி புரிந்த பின்வரும் அரசர்களது காலத்தை வரிசைப்படுத்துக.
1) நந்தர்கள் 2) அசோகர் 3) சந்திரகுப்த மெளரியர் 4)சமுத்திரகுப்தர்Correct
Incorrect

Question 8 of 25
8. Question
1 pointsஹரப்பா முத்திரைகள் இதனால் செய்யப்பட்டவை
Correct
Incorrect

Question 9 of 25
9. Question
1 pointsகீழ்க்கண்ட எந்த அட்சரேகைப் பகுதியில் கடலில் பவளப் பாறைகள் காணப்படுகின்றன?
Correct
Incorrect

Question 10 of 25
10. Question
1 pointsவானும் பூமியும் சந்திக்கும் வட்டக்கோடு
Correct
Incorrect

Question 11 of 25
11. Question
1 pointsThe average age of 3 children in a family in 20% of the average age of the father and the eldest child. The total age of the mother and the youngest child is 39 years. If the father’s age is 26 years, what is the age of second child?
Correct
Incorrect

Question 12 of 25
12. Question
1 pointsThe average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day?
Correct
Incorrect

Question 13 of 25
13. Question
1 pointsThe average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increase by one. What is the teacher’s age in the years?
Correct
Solution
Age of the teacher= (37×1536×14) years =51 years.Incorrect
Solution
Age of the teacher= (37×1536×14) years =51 years. 
Question 14 of 25
14. Question
1 pointsA team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
Correct
Incorrect

Question 15 of 25
15. Question
1 pointsIn an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, His average per paper would have been 65. How many papers were there in the examination?
Correct
Solution
Let the total number of workers be x. Then,8000x=(12000×7) + 6000 (x7) ⇔ 2000x =42000 ⇔ x=21.
Incorrect
Solution
Let the total number of workers be x. Then,8000x=(12000×7) + 6000 (x7) ⇔ 2000x =42000 ⇔ x=21.

Question 16 of 25
16. Question
1 pointsA team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
Correct
Incorrect

Question 17 of 25
17. Question
1 pointsWhen an electric bulb breaks, there is a mild bang due to:
Correct
Incorrect

Question 18 of 25
18. Question
1 points489.887÷14.82+208.08÷8.0116.09=?
Correct
Incorrect

Question 19 of 25
19. Question
1 points56.35^2+41^3÷46.687√4656.56=?
Correct
Incorrect

Question 20 of 25
20. Question
1 points32.76% of 543+?% of 3201=7474.38÷343.38×17.43
Correct
Incorrect

Question 21 of 25
21. Question
1 points(7237.438+3874.34+3437.954273.349)=?×274.89
Correct
Incorrect

Question 22 of 25
22. Question
1 points(4398.33+9749.89+132.65)÷9.4+7.46=?^2
Correct
Incorrect

Question 23 of 25
23. Question
1 points67% of 369+67^219^3÷3.56^2=?
Correct
Incorrect

Question 24 of 25
24. Question
1 points(46.43)^2÷[(32.75)^2÷(23.41)^2]+(13.98)^3=?^2
Correct
Incorrect

Question 25 of 25
25. Question
1 pointsA firm of readymade garments makes both men’s and women’s shirts. Its average profit is 6% of the sales. Its profit in men’s shirts average 8% of the sales and women’s shirts comprise 60% of the output. Find the average profit per sales rupee in women’s shirts .
Correct
Option D
Solution:
According to questions,
women’s shirts comprise 60% of the output.
Therefore, Men’s shirts comprise 40% of the output.
Average profit from men’s shirts = 8% of 40 = 3.2 out of 40
Overall average profit = 6 out of 100
Average profit from women’s shirts = 2.8 out of 60
= 0.0466 out of each shirt.Incorrect
Option D
Solution:
According to questions,
women’s shirts comprise 60% of the output.
Therefore, Men’s shirts comprise 40% of the output.
Average profit from men’s shirts = 8% of 40 = 3.2 out of 40
Overall average profit = 6 out of 100
Average profit from women’s shirts = 2.8 out of 60
= 0.0466 out of each shirt.