ca foundation

Measures of Central Tendency MCQS Question 1.If X and Y are related by X – Y – 10 = 0 and mode of X is known to be 23, then the mode of Y is : (a) 20(b) 13(c) 3(d) 23Solution:(b) 13(b) is correctGiven Relation is x – y – 10 = 0XM0 = 23 (given)∴ 23 […]

Probability MCQS Question 1.A letter is taken out at random from the word RANGE and another is taken out from the word PAGE. The probability that they are the same letters is : (a) 1/20(b) 3/20(c) 3/5(d) 3/4Solution:(b) 3/20 Letters A ; G ; E are common.Total probability for each Letter in both words= 15 × 14 + 15 × 14 + 15 × 14 = 320 Question 2.An […]

Theoretical Distributions MCQS Question 1.Parameter is a characteristic of :(a) Population(b) Sample(c) Probability distribution(d) Both (a) & (b)Solution:(a) Parameter :- A characteristic of a population. Question 2.What is the probability of making 3 correct guesses in 5 True – False answer type questions?(a) 0.4156(b) 0.32(c) 0.3125(d) 0.5235Solution:(c) Here, Sample Space S = {True, False}P = […]

Correlation Mcqs Question 1.The coefficient of correlation r between x and y when: Cov. (x, y) = -16.5, Var (x) = 2.89, Var (y) = 100 is:(a) -0.97(b) 0.97(c) 0.89(d) -0.89Solution:(a)Coefficient of correlationr = cov(x,y)σx⋅σy = −16.52.89√×100√ = −16.51.7×10= – 0.97 Question 2.Take 200 and 150 respectively as the assumed mean for X and Y series of 11 values, then […]

Index number mcqs​ Question 1.The number of test of Adequacy is: (a) 2(b) 3(c) 4(d) 5Solution:(c) 4Number of Test of Adequacy are 4. They are.(a) Unit test(b) Time reversal test(c) Factor reversal test(d) Circular test Question 3. Fisher’s ideal formula for calculating index number satisfies the _ : (a) Unit Test(b) Factor Reversal Test(c) Both(a)&(b)(d) None of […]

Statistical Description of Data mcqs​ Question 1.The quickest method to collect primary data is:(a) Personal Interview(b) Indirect Interview(c) Mailed Questionnaire Method(d) Telephonic InterviewSolution:(d) Telephonic Interview Question 2.Which of the following statement is true? (a) Statistics is derived from the French word ‘Statistik’(b) Statistics is derived from the Italian word ‘Statista’(c) Statistics is derived from the Latin […]

Integral Calculus Mcqs Question 1.∫10(ex + e-x) dx is:(a) e – e-1(b) e-1 – e(c) e + e1(d) NoneSolution :(a) is correctQuestion 2. ∫8×2(x3+2)3dx is equal to: [1 Mark, Nov. 2006](a) –43(x3 + 2) + C(b) –43(x3 + 2)-2 + C(c) 43(x3 + 2)2 + C(d) None of theseAnswer B] Is Correct Question 3. ∫dxx2+a2√:(a) 12log(x + x2+a2−−−−−−√) + C(b) log(x + x2+a2−−−−−−√) + C(c) log(xx2+a2−−−−−−√) […]

Differential Calculus mcqs​ Question 1.The slope of the tangent at the point (2, -2) to the curve x2 + xy + y2 – 4 = 0 is given by: (a) 0(b) 1(c) -1(d) NoneAnswer:(b) is correct.Question 2. The derivative of x2log x is: (a) 1 + 2log x(b) 2 log x(c) x(1 + 2logx)(d) None of theseAnswer:ddx(x2 log […]

Sets, Functions and Relations mcqs   Question 1.Out of 20 members in a family, 11 like to take tea and 14 like coffee. Assume that each one likes atleast one of the two drinks. F ind how many like both coffee and tea: (a) 2(b) 3(c) 4(d) 5Answer:(d) Given That n(T)= 11 ;n(C) = 14and n(T […]

Sequence and Series MCQS​ Question 1.The sum of all natural numbers between 100 and 1000 which are multiple of 5 is :(a) 98,450(b) 96,450(c) 97,450(d) 95,450Answer:(a) is CorrectSeries isS = 105 + 110+ 115 + ………………. + 995.No. of terms = n = l−ad + 1 = 995−1055 + 1 = 179Sum = n2(a + l) = 1792 (105 + 995)= 98,450 […]