Online Assignments for Business Math Set 4

Q1: If in a G.P. a = 4 , r = 5 then S₆ = ?
a. 15265
b. 15625[Ans]
c. 15562
d. 15225
 
Q2: The Disjunction of ‘p’ and ‘q’ is true if:

1. Both p and q are true[Ans]
2. When p is true and q is false
3. When p is false and q is true
4. When p or q is true

Q3: Value of the Determinant
is
a. Cos²x – Sin²x
b. 0
b. 1[Ans]
d. Cosx + Sinx
Q4: Derivative of x + (1/x) w.r.t x is equal to :
a. 1 – x
b. 1 – 1/x² [Ans]
b. 1 + (1/x)
d. 1 + 1/x²
Q5: Sum of money will double itself at 10% per year Simple Interest in :
a. 5 yrs
b. 2 yrs
c. 20 yrs
d. 10 yrs[Ans]
Q6: In an In-Equation x <= 2; solution for x is = ?

1. All real values less than 2.
2. Value equal to 2.
3. All real values less than and equal to 2.[Ans]
4. All real values other than 2.

Q7: If

a. x[Ans]
b. x³
b. x⁰
d. x^abc
Q8:

Q9: If the two Linear Equations:
(k – 3)x + 3y – k = 0 and kx + ky = 12 has Infinite Many Solutions, then value of k will be = ?
a. k = 0
b. k = 6
c. k = -6[Ans]
d. None of the Above
Q10: If the value of

Q11: What will be the value of

Q12: A tower is high. What will be the angle of elevation if its top from a point is 100m away from its foot.
a. 30
b. 0
c. 90
d. 60[Ans]
Q13: If U be the set of all triangles in a plane, and A is the set of all triangles with at least one angle different from 60 then A’ is:-

1. All triangles in a plane
2. Set of all equilateral triangles
3. Set of all triangles except equilateral triangle[Ans]
4. None of the above

Q14: Integration of Cosec(ax+b)Cot(ax+b) is = ?
a. –Cosec(ax+b)
b. –Cot(ax+b)
c. –[Cosec(ax+b)] / (ax+b)[Ans]
d. –[Cosec(ax+b] / a
Q15: Sum of the Sequence 15+24+33+42+51+60+69+78+87+96 is
a. 500
b. 505
c. 550
d. 555[Ans]
Q16: In a quadratic equation if b² < 4ac the roots are:
a. Real
b. Equal
c. Imaginary[Ans]
d. Unequal
Q17: Value of Cos1.Cos2.Cos3.Cos4 . . . . . . . . . . . . . . . . . . . . Cos180 is

Q18: If any two rows or columns of a Determinant are identical, the Value of the Determinant becomes
a. 1
b. 0[Ans]
c. No Change
d. –1
Q19: 101th term of an A.P. of the function [n(n+1)] / (2n-1) is:
a. 50.36
b. 50.24
c. 50.45
d. 50.13

Q20: In a group of 65 people, 40 like Cricket, 10 like both Cricket & Tennis. How many of them like only Tennis and not Cricket?
a. 25
b. 35[Ans]
c. 65
d. 40
Q21: Do you speak English?

1. Is a Statement.
2. Is a Declarative Sentence and Statement.
3. Is a Declarative Sentence but not a Statement.[Ans]
4. None of the Above.

Q22: Differentiation of Cos³x is
a. –3Cos²xSinx[Ans]
b. 3Cos²x
c. 3Cos²xSinx
d. –3CosxSinx
Q23: Simple Interest on Rs. 650 for 8 Months at the rate of 5 paise per rupee per month is
a. 65 / 3
b. 260[Ans]
c. 280
d. 360
Q24: For an A.P., a1,a2,a3,a4,- – – – – – – – – -if a4 / a7 = 2/3 then a6 / a8 will be :
a. 3/2
b. 4/6
c. 5/4
d. 4/5[Ans]
Q25: Value of –1⁵ . 1⁷ . –1^-3 . 1^-8 is :
a. 0
b. 1[Ans]
c. –1
d. Infinity
Q26: A software firm provides the following three characteristics for each program that it sells:
Language : FORTRAN (f) ; PASCAL(p) ; LISP(l)
Memory : 2meg(2) ; 4meg(4) ; 8meg(8)
Operating System: UNIX (u) ; DOS (d)
The number of Categories in this Classification is:
a. 18[Ans]
b. 19
c. 7
d. None of the Above
Q27: For Real and Equal Roots the value of the Determinant:
a. D > 0[Ans]
b. D< 0
c. D = 0
d. D = 0
Q28: For what values of ‘a’ does the Linear Equation:
ax + 8y + 6 = 0 & 2x + (a-1)y – 7 = 0 have Unique Solution?

1. Values 4, 17, -4
2. Values between –4 and 17
3. Values other than 4, -4, 17
4. None of the Above[Ans]

Q29. If A = {a, b, c, d} and R be the Relation on A, whose Matrix is:

1. {(a,a),(a,b),(a,c)(a,d),(b,b),(c,c),(d,d)}
2. {(a,a),(a,c),(b,b),(b,c),(c,c),(d,d)}
3. {(a,a),(a,c),(b,b),(b,c),(b,d),(c,c),(d,d)} [Ans]
4. {(a,a),(a,c),(b,b),(b,c),(b,d),(c,c),(c,d),(d,d)}

Q30: Which term in the given Sequence is wrong?
10, 20, 40, 70, 120, 160
a. 40
b. 120[Ans]
c. 160
d. 70
Q31: A Sum of Rs. 2000 is invested at 16% rate of interest per annum. What will be the Amount after 2 years if the interest is Compounded Semi – annually?
a. Rs.2361.20
b. Rs.2163.20
c. Rs.2136.20
c. Rs.2613.20
e. Rs. 2720.98[Ans]
Q32: If A = {a, e, i, o, u}

Q33: Integration of e^5x
a. 5e^5x
b. 5e^4x
c. e^5x / 5[Ans]
d. e^5x
Q34: If the Graph of two Linear Equations represents a Single Line then the Solution for the graph is
a. Consistent
b. Inconsistent
c. Unique[Ans]
d. None of the Above
Q35:

Q36: If the difference between Simple and Compound Interest on a Sum of Money for 4 years at 5% per annum is Rs. 150 the Sum will be:
a. Rs.9637.52
b. Rs.9763.25
c. Rs.9367.25
d. Rs.9673.52[Ans]
Q37:If


Answer: D
Q38. Differentiation of tan²x w.r.t. cos²x is:
a. tan²xcos²x
b. sec⁴x
c. –sec⁴x[Ans]
d. tan2x/cos²x
Q39: Value of (81 / 256)^-5/4 is:
a. 3 / 2
b. –1024 / 243
c. 1024 / 243[Ans]
d. –3/2
Q40: Integration of (2x-3)²

1. 4/3x³-6x²+9x[Ans]
2. 4/3x²-6x+9
3. 3/4x³-6x²+9x
4. 3/4x³-6x²+9

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