Mathematics — All MCQs
1905 questions available
Q61.A number multiply by 9and decreased by-12is equal to 72.Find solution?
Correct Answer: B
Let x be the number: 9x - 12 = 72 → 9x = 84 → x = 84/9.
Q62.The Solution of the expression 9X^2-6x÷3x
Correct Answer: B
(9x² - 6x) ÷ 3x = 3x(3x - 2) ÷ 3x = 3x - 2.
Q63.How many solutions of 2x2-√5x+1=0?
Correct Answer: C
Discriminant = (√5)² - 4(2)(1) = 5 - 8 = -3 < 0. No real solutions exist.
Q64.1/3 x 3/2 ÷ 1/2?
Correct Answer: B
1/3 × 3/2 ÷ 1/2 = 1/3 × 3/2 × 2/1 = 1.
Q65.If the length of shadow of tower is increase len the angle of elevation of the Sun?
Correct Answer: B
As shadow length increases, the angle of elevation of the sun decreases.
Q66.A box contains 24chocolates.How many boxes made by 30chocolates?
Correct Answer: D
30 chocolates ÷ 24 per box = 30/24 = 5/4 = 1¼ boxes.
Q67.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%.
Q68.Some students (boys &girls) from different schools appeared for an Olympiad exam 20%of boys & 15%of girls failed in exam.The number of boys who passed the exam was 70more than girls how passed exam.A total of 90students failed.Find number of student appeared in exam
Correct Answer: D
Solving the system of equations gives total students appeared = 500.
Q69.If the radius of cone is 10cm and height is 30find he volume of cone?
Correct Answer: C
Volume of cone = 1/3 πr²h = 1/3 × π × 100 × 30 = 1000π cm³.
Q70.Distance b/w two cities is 30km.A car travelled a distance in 50min.find the speed of car km/h
Correct Answer: B
Speed = Distance/Time = 30km / (50/60)h = 30 × 60/50 = 36 km/h.
Q71.Find distance b/w two given points (0,5),(-5,0)=?
Correct Answer: B
Distance = √[(0+5)²+(5-0)²] = √[25+25] = √50 = 5√2.
Q72.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.
Q73.(100)*1.5=?
Correct Answer: B
100^1.5 = 100 × √100 = 100 × 10 = 1000.
Q74.A firefighter's ladder of length 13m was kept at a distance of 5m from a building to reach a window on the building. At what height is the window from the ground?
Correct Answer: C
Using Pythagorean theorem: height = √(13² - 5²) = √(169-25) = √144 = 12m.
Q75.If the area of square is 64cm2, What is the area of the circle inscribed in it?
Correct Answer: A
Side = 8cm, radius = 4cm. Area = π×4² = 16π ≈ 50.27 cm².
Q76.Solve the equation 2x2-3x-2=0 what are the value of x
Correct Answer: D
2x²-3x-2 = (2x+1)(x-2) = 0 → x = 2 or x = -1/2.
Q77.If population is 8000 and 75% attended, how many did not attend?
Correct Answer: C
25% did not attend: 8000 × 0.25 = 2000.
Q78.The point (-x,y) lies in which Quadrant?
Correct Answer: B
(-x, y) has negative x and positive y, placing it in the 2nd quadrant.
Q79.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.
Q80.y=2x, and z=5y then find x+3y+z in terms of x.
Correct Answer: A
Substituting y=2x and z=5y=10x gives x+3(2x)+10x = x+6x+10x = 17x.