Arithmetic Ability MCQ

Test your knowledge with important Arithmetic Ability MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Arithmetic Ability MCQs on Bissoy. Bissoy App

• What is the value of cos15° - cos165°?
  ক

  $$\frac{{\sqrt 3 }}{{\sqrt 2 }}$$

  খ

  $$\frac{2}{{\sqrt 3 - 1}}$$

  গ

  $$\frac{{\sqrt 3 + 1}}{{\sqrt 2 }}$$

  ঘ

  $$\frac{{\sqrt 3 + 1}}{2}$$
• If $$\frac{{xy}}{{x + y}} = a,$$   $$\frac{{xz}}{{x + z}} = b$$   and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$   where a, b, c are all non - zero numbers, then x equals to?
  ক

  $$\frac{{2abc}}{{ab + bc - ac}}$$

  খ

  $$\frac{{2abc}}{{ab - bc + ac}}$$

  গ

  $$\frac{{2abc}}{{bc + ac - ab}}$$

  ঘ

  $$\frac{{2abc}}{{ab + bc + ac}}$$
• In which distribution successive trials are without replacement
  ক

  Poisson distribution

  খ

  Binomial distribution

  গ

  Geometric distribution

  ঘ

  Hypergeometric distribution
• Binomial distribution is symmetrical when
  ক

  p = q

  খ

  p > q

  গ

  p

  ঘ

  np > npq
• Which of the following is not the property of binomial distribution
  ক

  N is fixed

  খ

  Has two outcomes

  গ

  Trials are independent

  ঘ

  Probability of success varies from trial to trial
• The mean, median and mode for binomial distribution will be equal when
  ক

  p = 0.5

  খ

  p

  গ

  p > 0.5

  ঘ

  p = 1
• In which approach to probability the outcomes are equally likely to occur?
  ক

  Classical Probability

  খ

  Subjective Probability

  গ

  Relative Frequency

  ঘ

  Independent
• Which of the following is not a correct statement about a probability.
  ক

  A value near 0 means that the event is not likely to occur/happens

  খ

  It can be reported as a decimal or a fraction

  গ

  It must have a value between 0 and 1

  ঘ

  It is the collection of several experiments
• Binomial distribution is negatively skewed when
  ক

  p = 0

  খ

  p > $$\frac{{1}}{{2}}$$

  গ

  p

  ঘ

  p = -$$\frac{{1}}{{2}}$$
• Which of the following is not an example of a discrete probability distribution?
  ক

  The number of bathrooms in a house

  খ

  The sale or purchase price of a house

  গ

  The number of bedrooms in a house

  ঘ

  Whether or not a home has a swimming pool in it
• Two unbiased coin are tossed .What is the probability of getting at most one head?
  ক

  $$\frac{{1}}{{4}}$$

  খ

  2

  গ

  $$\frac{{3}}{{4}}$$

  ঘ

  1
• In a throw of coin what is the probability of getting tails.
  ক

  0

  খ

  1

  গ

  2

  ঘ

  $$\frac{{1}}{{2}}$$
• In a throw of coin what is the probability of getting head.
  ক

  0

  খ

  1

  গ

  2

  ঘ

  $$\frac{{1}}{{2}}$$
• Two dice are thrown simultaneously. What is the probability of getting the face numbers are same?
  ক

  $$\frac{{1}}{{6}}$$

  খ

  $$\frac{{2}}{{3}}$$

  গ

  $$\frac{{4}}{{9}}$$

  ঘ

  $$\frac{{5}}{{6}}$$
• In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
  ক

  $$\frac{{2}}{{3}}$$

  খ

  $$\frac{{3}}{{7}}$$

  গ

  $$\frac{{8}}{{21}}$$

  ঘ

  $$\frac{{9}}{{22}}$$
• Two unbiased coins are tossed. What is probability of getting at most one tail ?
  ক

  $$\frac{{1}}{{2}}$$

  খ

  $$\frac{{2}}{{3}}$$

  গ

  $$\frac{{3}}{{2}}$$

  ঘ

  $$\frac{{3}}{{4}}$$
• When two coins are tossed simultaneously, what are the chances of getting at least one tail?
  ক

  $$\frac{{4}}{{5}}$$

  খ

  $$\frac{{1}}{{5}}$$

  গ

  $$\frac{{3}}{{4}}$$

  ঘ

  $$\frac{{1}}{{4}}$$
• A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
  ক

  $$\frac{{4}}{{9}}$$

  খ

  $$\frac{{5}}{{9}}$$

  গ

  $$\frac{{7}}{{9}}$$

  ঘ

  $$\frac{{8}}{{9}}$$
• 200 ÷ 25 × 4 + 12 - 3 = ?
  ক

  35

  খ

  40

  গ

  30

  ঘ

  41

  ঙ

  50
• If x is a positive number, then which of the following fractions has the greatest value ?
  ক

  $$\frac{x}{x}$$

  খ

  $$\frac{x}{{x + 1}}$$

  গ

  $$\frac{{x + 1}}{x}$$

  ঘ

  $$\frac{{x + 2}}{{x + 3}}$$
• (0.05 × 6.25) ÷ 2.5 = ?
  ক

  0.95

  খ

  0.105

  গ

  0.115

  ঘ

  1.25

  ঙ

  None of these
• (5420 + 3312 + ?) ÷ 600 = 25.93
  ক

  6286

  খ

  6584

  গ

  6826

  ঘ

  6830

  ঙ

  None of these
• If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is = ?
  ক

  $$yz$$

  খ

  $$\frac{{xz}}{y}$$

  গ

  $$\frac{{xy}}{z}$$

  ঘ

  $$xyz$$
• If the radius of a sphere is doubled, how many times does its volume becomes ?
  ক

  2 times

  খ

  4 times

  গ

  6 times

  ঘ

  8 times
• The ratio of the volume of a cube to that of a sphere which will fit inside the cube is :
  ক

  4 : 3π

  খ

  4 : π

  গ

  6 : π

  ঘ

  2 : π
• The area of a triangle is p sq.cm and its base is x cm. What is the height of the triangle (in cm) ?
  ক

  $$\frac{2p}{x}$$

  খ

  $$\frac{x}{2p}$$

  গ

  $$\frac{p}{2x}$$

  ঘ

  $$\frac{2x}{p}$$
• Which of the following figures has the longest perimeter ?
  ক

  A square of side 10 cm

  খ

  A rectangular of sides 12 cm and 9 cm

  গ

  A circle of radius 7 cm

  ঘ

  A rhombus of side 9 cm
• ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
  ক

  PB = PC

  খ

  PB > PC

  গ

  PB

  ঘ

  PB = $$\frac{1}{2}$$ PC
• The orthocenter of a triangle is the point where?
  ক

  The medians meet

  খ

  The altitudes meet

  গ

  The right bisectors of the sides of

  ঘ

  The bisectors of the angles
• ABC is an equilateral triangle. Points D, E and F are taken as the mid-point on sides AB, BC, AC respectively, so that AD = BE = CF. Then AE, BF, CD enclosed a triangle which is:
  ক

  Equilateral

  খ

  Isosceles triangle

  গ

  Right angle triangle

  ঘ

  None of these