Mathematics — All MCQs
1905 questions available
Q41.Solve the Equation: 2x² + 5x + 6 = 0?
Correct Answer: B
Discriminant = 25 - 48 = -23. The equation has two different complex roots.
Q42.2x² - 5x - 12 = 0 solution is
Correct Answer: A
Using quadratic formula: x = (5 ± 11)/4, giving x = 4 and x = -3/2.
Q43.If one side of square is 12cm. Find its area?
Correct Answer: A
Area of square = side² = 12² = 144 cm².
Q44.If Sum of roots is 4 and product is 3 make an equation
Correct Answer: A
For sum=-4 and product=3, the equation is x² + 4x + 3 = 0.
Q45.Complete the series ,7,13,21,--------43,57:
Correct Answer: A
The pattern is +6, +8, +10, +12, +14: 7+6=13, 13+8=21, 21+10=31, 31+12=43, 43+14=57.
Q46.If the perimeter of equatorial triangle is 60.Find its area
Correct Answer: B
For equilateral triangle with perimeter 60, side=20. Area = (√3/4)×20² = 100√3 cm².
Q47.If the volume of a cube is 343m3,then then find the area of one side:
Correct Answer: B
Side of cube = ∛343 = 7m. Area of one face = 7² = 49 m².
Q48.What is the incorrect value of the given series:2,4,7,14,17,34,37,64
Correct Answer: B
Pattern: ×2, +3, ×2, +3... 2×2=4, 4+3=7, 7×2=14, 14+3=17, 17×2=34, 34+3=37, 37×2=74 (not 64).
Q49.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.
Q50.If the first term of A.P is 5 and common difference is 7,then first four term is :
Correct Answer: B
AP: a=5, d=7. Terms: 5, 5+7=12, 12+7=19, 19+7=26.
Q51.Find the unknown value of x 7:8::196:x:
Correct Answer: A
7/8 = 196/x → x = (196×8)/7 = 224.
Q52.Solve.201x199=
Correct Answer: C
201×199 = (200+1)(200-1) = 40000-1 = 39999.
Q53.If ladder makes angle with wall is 45degree and ladder is 5m away from the wall,what is the height of wall ?
Correct Answer: C
At 45°, tan(45°) = height/distance = 1. So height = distance = 5m.
Q54.If x^51+51 is divided by x+1 then the remainder is :
Correct Answer: B
By Remainder Theorem: f(-1) = (-1)^51 + 51 = -1 + 51 = 50.
Q55.Solve the given value 3degree x 5degree x 7degree:
Correct Answer: D
Any non-zero number to the power 0 equals 1. So 3°×5°×7° = 1×1×1 = 1.
Q56.Three years ago age of C is three times age of D,four years from now age of c is twice of D,what is the present age of C?
Correct Answer: B
Solving: C-3=3(D-3) and C+4=2(D+4) gives C=24, D=10.
Q57.Solution of given equation is 2x2+5x-12=0
Correct Answer: B
2x²+5x-12 = (2x-3)(x+4) = 0 → x = 3/2 or x = -4.
Q58.correct form of given equation 16X2+24x+9is?
Correct Answer: D
16x²+24x+9 = (4x)² + 2(4x)(3) + 3² = (4x+3)².
Q59.Find the roots of the given equation:x2-3x-10=0
Correct Answer: D
x²-3x-10 = (x-5)(x+2) = 0 → x = 5 or x = -2.
Q60.solve the equation 2(3)x3(2)-5(2)
Correct Answer: B
2³ × 3² - 5² = 8 × 9 - 25 = 72 - 25 = 47.