Percentage, Ratio & Average
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Q1.In a class of 30 students average height is 150 cm one student added to class whose height is 155cm, then new average height is?
Correct Answer: A
Q2.Average of first 10 prime numbers is?
Correct Answer: B
The first 10 primes are 2,3,5,7,11,13,17,19,23,29, summing to 129; their average is 12.9.
Q3.If in a class boys are 14 and girls are 18, find the ratio of girls to boys?
Correct Answer: B
The ratio of girls (18) to boys (14) simplifies to 9:7.
Q4.If X directly proportion with Y, Y = 5 if X = 2 If X is 7 find the Y?
Correct Answer: B
Since Y is directly proportional to X, Y/X is constant (5/2); for X=7, Y = 35/2.
Q5.4x /5=3y/8, Find x: y
Correct Answer: B
Cross-multiplying 4x/5 = 3y/8 gives 32x = 15y, so x:y = 15:32.
Q6.Average of five numbers 2,79,10,x is five. Find the value of X ?
Correct Answer: A
Sum of five numbers must equal 25 (5×5); given 2+7+9+10=28, so x = 25-28 = -3.
Q7.25% of 1200000 is :
Correct Answer: A
25% of 1,200,000 is 300,000.
Q8.Ratio between Sugar to water is 5:7.If Sugar is 35then water is:
Correct Answer: B
If 5 parts = 35, then 1 part = 7. Water = 7 parts = 7×7 = 49.
Q9.Find the unknown value of x 7:8::196:x:
Correct Answer: A
7/8 = 196/x → x = (196×8)/7 = 224.
Q10.Over a two-week span John ate 20pound of chicken wing &15pound hot dogs Kyle at 20%more wings and 40%more hot dogs. Consider only chicken wings and hot dogs.Kyle at Approximately,x%more food by weight than john what is x in nearly rounded
Correct Answer: C
John: 20+15=35 lbs. Kyle: 20×1.2=24, 15×1.4=21, total=45. Increase=(45-35)/35×100=28.6%≈30%.
Q11.If two b/w rice and Wheat is 3:4if rice is 21then wheat is?
Correct Answer: C
3:4 = 21:x → x = (21×4)/3 = 28.
Q12.If population is 8000 and 75% attended, how many did not attend?
Correct Answer: C
25% did not attend: 8000 × 0.25 = 2000.
Q13.If the ratio of Sugar to Flour is 2:3 and sugar is 18, then flour is?
Correct Answer: C
2:3 = 18:x → x = (18×3)/2 = 27.
Q14.What is 8% of 40 students?
Correct Answer: A
8% of 40 = 0.08 x 40 = 3.2.
Q15.In a class of 40 students, 20% are girls. How many boys are there?
Correct Answer: B
20% of 40 = 8 girls, so boys = 40 - 8 = 32.
Q16.If x:y = 6:5 and z:y = 9:25, then what is the ratio of x:z?
Correct Answer: B
Solving the combined ratio through a common term for y gives x:z = 10:3.
Q17.If a class has 40 students and 75% passed, how many students failed?
Correct Answer: A
75% of 40 passed (30 students), so 40 - 30 = 10 students failed.
Q18.The Sum of ratio 1:X:5 is 11 find the value of X?
Correct Answer: B
Q19.If 45% of the students who take part in a creative writing competition are boys. If 135 boys take part in the competition, find the total number of the students who take part in the competition?
Correct Answer: B
Q20.If a rope is 75cm long and on stretching it reached 90cm then how much increase?
Correct Answer: A