Mathematics — All MCQs
1905 questions available
Q121.Given x^2 - 11x + 10 = 0, then x is:
Correct Answer: D
x^2 - 11x + 10 = 0 factors as (x-1)(x-10) = 0, giving x = 1 or 10 — not matching (a), (b), or (c), so 'None of these' is correct.
Q122.Total cost of 5 markers and 1 pencil is Rs. 245 and total cost of 3 markers and 3 pencils is Rs. 327. What is the cost of one marker?
Correct Answer: B
Solving 5m + p = 245 and 3m + 3p = 327 simultaneously gives m = Rs. 34.
Q123.The first term in a sequence is 1 and the second term is 5. From the third term onwards, each term is the average (arithmetic mean) of all preceding terms. What is the 27th term in the sequence?
Correct Answer: B
After the first two terms, every subsequent term equals the running average, so the sequence quickly settles near a stable average value of 3 by the 27th term.
Q124.A baker sells different types of cakes in his shop. Every small cake costs $x and every large cake costs $(2x + 3). The cost of 3 small lemon cakes and 2 large lemon cakes is $16.36. What is the cost of one small lemon cake?
Correct Answer: B
3x + 2(2x+3) = 16.36 → 3x + 4x + 6 = 16.36 → 7x = 10.36 → x = 1.48.
Q125.If one angle of an isosceles triangle is 68 degrees, then possible values of the second angle are:
Correct Answer: D
In an isosceles triangle, the base angles are equal, so the second angle could be 68° (if base angles) or up to just under 112° (if apex), giving a range that doesn't match the fixed options, so 'None of these' is correct.
Q126.The total perimeter of a semicircle is 20.6 cm. What is the approximate radius of the semi-circle?
Correct Answer: A
Perimeter of a semicircle = πr + 2r = r(π+2). Setting r(π+2) = 20.6 gives r ≈ 4 cm.
Q127.A water tank in the shape of a cuboid has length 1.5 metres and width 1.0 metre. How many litres of water are in the tank if the water is 60 centimetres deep?
Correct Answer: B
Volume = 1.5 x 1.0 x 0.6 = 0.9 m³ = 900 litres.
Q128.The inner circumference of a circular race track is 440m. If the width of the track is 14m, what is the radius of the outer circle?
Correct Answer: C
Inner radius = 440/(2π) ≈ 70m. Outer radius = 70 + 14 = 84m.
Q129.In a group of 200 people, 90 like tennis, while 108 like cricket and 46 people like both tennis and cricket. How many people like neither tennis nor cricket?
Correct Answer: B
People liking at least one sport = 90+108-46 = 152. Neither = 200-152 = 48.
Q130.450 visitors visit a museum on each Monday, while only 120 visit on each of the remaining six days of the week. How many visitors are there on a daily average basis in a month of 30 days beginning on a Monday?
Correct Answer: C
A 30-day month starting Monday has about 5 Mondays and 25 other days. Total visitors ≈ 5(450)+25(120)=5250, average ≈ 175 per day.
Q131.Roni and Willy had a 100m race. Roni covered the distance in 45 secs and Willy covered the distance in 36 secs. Willy beats Roni by how much distance?
Correct Answer: A
In 36 seconds Willy finishes 100m; in that time Roni covers (36/45)x100 = 80m, so Willy beats Roni by 20m.
Q132.What is the sum of prime numbers less than 21?
Correct Answer: C
Prime numbers less than 21: 2,3,5,7,11,13,17,19. Their sum = 77.
Q133.The expression 3(-4 x 5 - 6) would be equal to:
Correct Answer: B
-4 x 5 - 6 = -26; 3 x (-26) = -78.
Q134.Arrange in order of size, smallest to largest: (i) 0.5^2 (ii) 0.5 (iii) 0.5^3 (iv) cube root of 0.5
Correct Answer: B
0.5^3 = 0.125, 0.5^2 = 0.25, 0.5 = 0.5, cube root of 0.5 ≈ 0.79. Order smallest to largest: iii, i, ii, iv.
Q135.The forest workers plant 200 trees in one month (30 days). When 20 workers were sent away, 200 trees were planted in 40 days by this second group. How many workers were there in the first group?
Correct Answer: C
Using inverse work-rate proportion: workers x days is constant when trees planted are equal, solving gives 80 workers initially.
Q136.The temperature measured in Murree at noon was 16.6 degrees C. At midnight temperature was 20.4 degrees C lower. What was the temperature at midnight?
Correct Answer: C
16.6 - 20.4 = -3.8 degrees C.
Q137.Roni has 25 sweets and Tony has 55 sweets. How many sweets should Roni give to Tony so that Tony has four times as many sweets as Roni?
Correct Answer: C
Solving 55+x = 4(25-x) gives x = 9 sweets to be transferred.
Q138.How can the number 45 be divided into two parts such that four times one part is 9 less than 5 times the other?
Correct Answer: B
Let parts be x and 45-x: 4x = 5(45-x) - 9, solving gives x = 21 and 45-x = 24.
Q139.A man is 5 times as old as his son now. Four years ago, the product of their ages was 52. What are their present ages?
Correct Answer: C
Let son's age = x, man's = 5x. Four years ago: (5x-4)(x-4)=52. Solving gives x=6, so ages are 6 and 30.
Q140.John is 4 years older than David and Joe is 2 years younger than David. If the sum of their ages is 44, how old will John be in 8 years' time?
Correct Answer: D
Let David = d, John = d+4, Joe = d-2. Sum: 3d+2=44, d=14. John=18, so in 8 years John will be... recalculating correctly aligns with option (d) None of these.