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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Subset of A |
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Answer» Null set 2¹ =2{A,nullset} Fi and vary on set A\' |
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| 52. |
Activity 20 |
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| 53. |
Sin2x= |
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Answer» 2cosxsinx , 2tanx divded by 1 minus tanx square x 2 sin x cos x |
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| 54. |
How many four digit numbers are there with no digit repeated? |
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Answer» 4 x 3 x 2 x 1 = 24 Factorial of 4 . That is 4*3*2*1 = 24 |
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| 55. |
dervative of cosx |
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Answer» -Sinx How we find a ho |
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| 56. |
Differentiate (SinX+CosX)^8 |
| Answer» 8 • (sin x + cos x) • (cos x - sin x) | |
| 57. |
how many of the natural no from 1 to 1000 have none of their digits repeated |
| Answer» 738 | |
| 58. |
if npr =336 ncr=56 find n and r hence find n-1cr-1 |
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| 59. |
Evaluate : lim x—>0 (x+1)^5—1/x |
| Answer» (x+1)⁵-1⁵÷(x+1)-1=5(1)⁵-¹=5(1)⁴=5 | |
| 60. |
Find derivatives of xto the power 8 minus 1 upon x to the power 4 minus 1 |
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| 61. |
Sin(A+B) |
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Answer» SinACosB+CosASinB SinA.CosB+CosA.SinB |
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| 62. |
Evaluate : lim 5 x—>0 (x+1) —1÷x |
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| 63. |
Y= 1+x/1-x then |
| Answer» Ans 1 | |
| 64. |
7. Find the geometric images of the complex numbers z such that|z+ 1 /z |=2. |
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| 65. |
Compute 9!/5!4! |
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Answer» 126 Answer 126 9*8*7*6*5! / 5! * 24Since 4! = 24 On solving further 126 as answer 126 is the answer 9*8*7*6*5!/5!(4*3*2*1)3024/24126 |
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| 66. |
Find the radian measure 5 degree 37 \' 30" |
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| 67. |
2+1+88-66*5+5*55+5/888 |
| Answer» 2+1+88-330+275+5/88841/8880.04617 | |
| 68. |
-47°30` |
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| 69. |
-48°30` |
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| 70. |
-48°30\' |
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| 71. |
Find tha derivative of x at x=1 |
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Answer» According to Fomula: nxn-1 Then, x1 = 1x1-1 = 1x0 = 1x1 [ if Any no have power o so its value is 1] = 1 Ans. 1 1 1 |
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| 72. |
How to approach a question of derivative including trigonometric functions |
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| 73. |
5secx+4cosx |
| Answer» 5secx tanx - 4 sinx As differentiation of cos x is -sin x and for sec x is secx*tanx | |
| 74. |
Find the sum of n terms:-n(n+1)(n+2) |
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| 75. |
Find the derivatives of (x+2)/(x-5). |
| Answer» -7/(x-5)^2 | |
| 76. |
Which terms of the following sequence. Rut 3.3.3.rut 3.so all 19683 |
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| 77. |
How many types of sets. |
| Answer» There are various kinds of sets like – finite and infinite sets, equal and equivalent sets, a null set. | |
| 78. |
Tan²x= |
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| 79. |
If A = {a, b, c, d, e}, B = {a, c, e, g}and C = {b, e, f, g}, Find A \uf0c7 (B \uf02d C) |
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| 80. |
The probability that birthday of six different persons will fall in exactly two calendar months is |
| Answer» No. Of possible months of a single person =12Possible ways for 6 people = 12^6Birthday falls in two calendar months=(choose 2 months from 12 months & put all 6 persons into any of the month - the case when all 6 people get into single month)12C2 (2^6 -1)Therefore required probability is 12C2 (2^6 -1)/12^6 | |
| 81. |
When x is an integer -12x>30 |
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Answer» (-infinite,-3] (-infinte,-3] (-infinte,5/2] -3 |
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| 82. |
Differentiate Log [x + (x^2 + a^2 )^1/2] |
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Answer» Can you make my friend Hi vansika |
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| 83. |
find the number of permutations of the letters of the word hyderabad |
| Answer» 9p7 | |
| 84. |
2.137 and bar above 7 |
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| 85. |
Find the value of tan 13π/12. |
| Answer» 12 | |
| 86. |
Find the derivative of sinx |
| Answer» Cosx | |
| 87. |
How to construct a parabola using cardboard and paper |
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| 88. |
Find the derivative of xcosx.. |
| Answer» Cosx - xSinx | |
| 89. |
Three men have 4coats,5 waistcoats and 6 caps. In how many ways can they wear them? |
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Answer» 4!×5!×6! (4×3×2)(5×4×3)(6×5×4) |
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| 90. |
i37+1/i67 |
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| 91. |
A polygon has 65 diagonals then find the number of its sides? |
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| 92. |
Find the equation of a circle with centre (a,a) and radius √2 |
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| 93. |
Find the differential coefficient of the following: 4x¹/⁴ |
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| 94. |
What is union sets |
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Answer» Union means to unite ... Combination of two sets.. And if any element is common..You have to write only once. Let us suppose two sets- Set (A)= {1,2,3} Set (B)= {6,7,8}Then Union of set (A) and set (B) could be written as-A U B = {1,2,3,6,7,8}?I hope it will help you to understand!! If you have 2 sets A and B union is that you have to write them in a single set by writing all the number in the set . If the numbers repeate write them once only |
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| 95. |
What is the probability that two friends will have the same birthday in the month of March? |
| Answer» 31/961 or 1/31 | |
| 96. |
Solve -12x>30 then |
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Answer» X> -5/2 x<5/2 -2.5 |
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| 97. |
What is a sets ? |
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Answer» Set is a collection of well defined objects A well defined collection of the object is called sets A well defined group of things is called sets |
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| 98. |
What is the smallest positive integer n for which (1+i)^2n .(1-i)^2n |
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Answer» Yes this qwetion is incomplete Multiplication is there or equals to??? I think this question is incomplete |
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| 99. |
Differentiate y=e3logx + e²log³ +3^7log³x |
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| 100. |
Y equal to 3 root x power 5 + 1 by 3 root x power 7 + 4 root x |
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