This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
`f(x)=(1)/(1-x)` points of discontinuity of the composite function `f(f(x))` are:A. `x=0,1,2`B. `x=-1,1`C. `x=1,2`D. `x=0,1` |
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Answer» Correct Answer - D `x=1` is a point discontinuity `f(f(x))=(x-1)/(x)` `x=0` is a point of discontinuity |
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| 2. |
A human body has a surface area of approximately 1m2 . The normal body temperature is 10 K above the surrounding room temperature T0 . Take the room temperature to be T0 = 300 K. For T0 = 300 K, and the value of σ \(T^4_0\) =460 Wm-2 (where σ is the Stefan-Boltzmann constant). Which of the following option is/are correct?(A) The amount of energy radiated by the body in 1 second is close to 60 Joules.(B) If the surrounding temperature reduces by a small amount ΔT0 <<T0 , then to maintain the same body temperature the same (living) human being needs to radiate ΔW = 4σ \(T^3_0\) ΔT0 more energy per unit time.(C) Reducing the exposed surface area of the body (e.g by curling up) allows humans to maintain the same body temperature while reducing the energy lost by radiation.(D) If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths. |
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Answer» (C) Reducing the exposed surface area of the body (e.g by curling up) allows humans to maintain the same body temperature while reducing the energy lost by radiation. Heat radiated by body remains unchanged even after change in room temperature. Energy lost by the radiation depends upon the surface area. From Wien’s law λmT = constant |
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| 3. |
If \([\overrightarrow{a}\overrightarrow{b}\overrightarrow{c}]=0\) then \([\overrightarrow{a}+\overrightarrow{b}\,\,\overrightarrow{b}+\overrightarrow{c}\,\,\overrightarrow{c}+\overrightarrow{a}]\) =(A) \(4(\overrightarrow{a}+\overrightarrow{b})\)(B) \(2(\overrightarrow{a}+\overrightarrow{b}).\overrightarrow{c}\)(C) \(6(\overrightarrow{b}+\overrightarrow{c}).\overrightarrow{a}\)(D) 0 |
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Answer» Correct option is: (D) 0 |
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| 4. |
The direction ratios of the normal to the plane 2x + 3y + 4z + 5 = 0 are(A) 2, 3, 4(B) 2, 3, 5(C) 3, 4, 5(D) none of these |
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Answer» Correct option is: (A) 2, 3, 4 |
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| 5. |
Find the equations to the pair of lines through the origin which are perpendicular represented by `6x^(2) - xy - 12y^(2) = 0`. |
| Answer» Correct Answer - `12x^(2) - xy - 6y^(2) = 0` | |
| 6. |
The equation of a plane parallel to the plane z = 0 is(A) x = 5(B) y = 6(C) z = 1(D) none of these |
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Answer» Correct option is: (C) z = 1 |
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| 7. |
The direction cosines of the vector \(\overrightarrow{i}+3\overrightarrow{j}+2\overrightarrow{k}\) are(A) \(\frac{1}{\sqrt{14}},\frac{3}{\sqrt{14}},\frac{2}{\sqrt{14}}\)(B) \(\frac{3}{\sqrt{14}},\frac{1}{\sqrt{14}},\frac{1}{\sqrt{14}}\)(C) \(\frac{1}{\sqrt{14}},\frac{2}{\sqrt{14}},\frac{3}{\sqrt{14}}\)(D) none of these |
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Answer» Correct option is: (A) \(\frac{1}{\sqrt{14}},\frac{3}{\sqrt{14}},\frac{2}{\sqrt{14}}\) |
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| 8. |
If \(\overrightarrow{p}\) is a unit vector and \((\overrightarrow{x}-\overrightarrow{p}).(\overrightarrow{x}+\overrightarrow{p})\) = 80 then the value of \(|\overrightarrow{x}|\) is(A) \(4\sqrt{5}\)(B) 7(C) 8(D) 9 |
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Answer» Correct option is: (D) 9 |
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| 9. |
cos-1\(\frac{1}{2}\) + 2sin-1\(\frac{1}{2}\) =(A) \(\frac{2\pi}{3}\)(B) \(\frac{3\pi}{4}\)(C) \(\frac{5\pi}{4}\)(D) π |
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Answer» Correct option is: (A) \(\frac{2\pi}{3}\) |
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| 10. |
The minor of 3 in \( \begin{bmatrix}3 & 4 & 5 \\[0.3em]-6 & 2 & -3 \\[0.3em]8 & 1 & 7\end{bmatrix}\)is(A) 15(B) 16(C) 17(D) 18 |
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Answer» Correct option is: (C) 17 |
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| 11. |
The integrating factor of the differential equation dy/dx + y = (1 + y)/x is(A) ex(B) xex(C) ex/x(D) x/ex |
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Answer» Correct option: (C) ex/x |
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| 12. |
The sum of vectors i + 2j, 2i - 3j - k and 5j + k is(A) \(3\overrightarrow{i}-4\overrightarrow{j}\)(B) \(3\overrightarrow{i}-2\overrightarrow{j}-2\overrightarrow{k}\)(C) \(3\overrightarrow{i}+4\overrightarrow{j}\)(D) none of these |
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Answer» Correct option is: (C) \(3\overrightarrow{i}+4\overrightarrow{j}\) |
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| 13. |
If y = 11x2 then \(\frac{d^3y}{dx^3}\) =(A) 22x(B) 22(C) 0(D) 11x |
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Answer» Correct option is: (C) 0 |
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| 14. |
The direction cosines of the straight line drawn through the points (2, 3, 4) and (1, 2, 4) are(A) \(\frac{1}{2},\frac{1}{2},0\)(B) \(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},0\)(C) \(\sqrt{2},\sqrt{2},0\)(D) \(\frac{1}{2},\frac{1}{3},\frac{1}{4}\) |
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Answer» Correct option is: (B) \(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},0\) |
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| 15. |
The integrating factor of the differential equation \(\frac{dy}{dx}+2y\) tanx = sinx is(A) sec2 x(B) 2sec x(C) sec x tan x(D) none of these |
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Answer» Correct option is: (A) sec2 x |
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| 16. |
∫elog√x/x = .......(A) 2√x + c(B) √x/2 + c(C) 2/3x3/2 + c(D) None of these |
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Answer» Correct option: (A) 2√x + c |
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| 17. |
Which of the following is an objective function ?(A) z = 4x + y(B) x + y ≥ 0(C) x ≤ 2(D) y ≤ 4 |
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Answer» Correct option is: (A) z = 4x + y |
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| 18. |
The differential coefficient of log\(\sqrt{x}\) with respect to \(\sqrt{x}\) is(A) \(\frac{1}{x}\)(B) \(\frac{1}{2x}\)(C) \(\frac{1}{\sqrt{x}}\)(D) none of these |
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Answer» Correct option is: (C) \(\frac{1}{\sqrt{x}}\) |
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| 19. |
Unit vector in the direction i + 2j + 3k is(A) \(\frac{\overrightarrow{i}+2\overrightarrow{j}+3\overrightarrow{k}}{\sqrt{7}}\)(B) \(\frac{\overrightarrow{i}+2\overrightarrow{j}+3\overrightarrow{k}}{\sqrt{14}}\)(C) \(\frac{\overrightarrow{i}+2\overrightarrow{j}+3\overrightarrow{k}}{2\sqrt{14}}\)(D) none of these |
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Answer» Correct option is: (B) \(\frac{\overrightarrow{i}+2\overrightarrow{j}+3\overrightarrow{k}}{\sqrt{14}}\) |
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| 20. |
The maximum value of the function f(x) = x3 - 2x2 + x + 6 is(A) \(\frac{185}{27}\)(B) \(\frac{166}{27}\)(C) \(\frac{24}{17}\)(D) 16 |
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Answer» Correct option is: (B) \(\frac{166}{27}\) |
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| 21. |
xy = c2 \(\Rightarrow\) \(\frac{dy}{dx}\) =(A) \(-\frac{c^2}{x^2}\)(B) \(\frac{c^2}{x^2}\)(C) \(\frac{c^2}{y^2}\)(D) \(-\frac{c^2}{y^2}\) |
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Answer» Correct option is: (A) \(-\frac{c^2}{x^2}\) |
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| 22. |
The equation of a straight line parallel to the line \(\frac{x+5}{3}=\frac{y-3}{6}=\frac{z-7}{8}\) is(A) \(\frac{x-5}{3}=\frac{y+6}{3}=\frac{z-7}{3}\)(B) \(\frac{x-10}{6}=\frac{y-6}{6}=\frac{z-14}{6}\)(C) \(\frac{x-1}{9}=\frac{y-2}{18}=\frac{z+1}{24}\)(D) none of these |
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Answer» Correct option is: (C) \(\frac{x-1}{9}=\frac{y-2}{18}=\frac{z+1}{24}\) |
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| 23. |
The straight line \(\frac{x}{3}=\frac{y}{5}=\frac{z}{7}\) is perpendicular to which of the following planes ?(A) 3x + 7y + 5z = 15(B) 3x + 5y + 7z = 10(C) 7x + 5y + 3z = 10(D) x + y + z = 15 |
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Answer» Correct option is: (B) 3x + 5y + 7z = 10 |
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| 24. |
If the line \(\frac{x}{3}=\frac{y}{2}=\frac{z}{1}\) is parallel to the plane 2ax + by + cz = 10 then(A) 6a + 2b + c = 10(B) 2a + b + c = 0(C) 6a + 2b + c = 0(D) 6a + 2b + c = 1 |
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Answer» Correct option is: (C) 6a + 2b + c = 0 |
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| 25. |
Unit impulse function |
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Answer» A mathematical artifice consisting of an impulse of infinite amplitude and zero width, and having an area of unity. Note: The unit impulse is useful for the mathematical expression of the impulse response, i.e., the transfer function, of a device. Synonym Dirac delta function. |
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| 26. |
Positive attitude leads to ________ body language. |
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Answer» Positive attitude leads to positive body language. |
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| 27. |
In a right-angled triangle PQR, ∠Q = 90°. If ∠P = 45°, then value of tan P - cos2R is(a) 0(b) 1(c) 1/2(d) 3/2 |
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Answer» Correct answer is (c) 1/2 |
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| 28. |
What is applied over the steel tape armour of PILC cable as serving? |
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Answer» Bituminous covered jute. |
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| 29. |
It is not necessary that individuals need to protect themselves from 10,000 volts, even 42 volts can be enough to electrocute a person. What are the safety measure one needs to take care while working in studio. |
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Answer» The real measure of a shock’s intensity lies in the amount of current (amperes) forced through the body and not the voltage. any electrical device used on a house wiring circuit can under certain conditions transmit a fatal current. It’s the electrical current that does the damage. Current equals voltage divided by resistance (1=V/R) but the resistance of the human body varies so widely it is impossible to state that one voltage is dangerous’ and another is safe. In studio we have to always connect all the equipment correctly to avoid any type of disturbed sound. All the power cables and power boards should be well maintained otherwise they can cause short circuits. We have to always follow the fire safely norms. All the fire extinguishers should be maintained and in working condition. To avoid ear damage we should use ear protector, to protect eyes used eye protector. We should also take a short break if we are working for long hours. |
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| 30. |
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be en selected, if the team has at “least one boy and one girl”? |
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Answer» (i) Since, the team will not include any girl, therefore, only boys are to be selected. 5 boys out of 7 boys can be selected in 7C5 ways. Therefore, the required number of ways = 7C5 (7!/5!2!) = (6 x 7)/2 = 21 (ii) Since, at least one boy and one girl are to be there in every team. Therefore, the team can consist of (a) 1 boy and 4 girls (b) 2 boys and 3 girls (c) 3 boys and 2 girls (d) 4 boys and 1 girl. 1 boys and 4 girls can be selected in 7C1 × 4C4 ways. 2 boys and 3 girls can be selected in 7C2 × 4C3 ways. 3 boys and 2 girls can be selected in 7C3 × 4C2 ways. 4 boys and 1 girls can be selected in 7C4 × 4C1 ways. Therefore, the required number of ways = 7C1 × 4C4 + 7C2 × 4C3 + 7C3 × 4C2 + 7C4 × 4C1 = 7 + 84 + 210 + 140 = 441 (iii) Since, the team has to consist of at least 3 girls, the team can consist of (a) 3 girls and 2 boys, or (b) 4 girls and 1 boy. Note that the team cannot have all 5 girls, because, the group has only 4 girls. 3 girls and 2 boys can be selected in 4C3 × 7C2 ways. 4 girls and 1 boys can be selected in 4C4 × 7C2 ways. Therefore, the required number of ways = 4C3 × 7C2 + 4C4 × 7C1 = 84 + 7 =91. |
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| 31. |
A card is selected from a pack of 52 cards. Calculate the probability that the card is (i) an arc (ii) black card. |
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Answer» P(an ace card) = 4C1/52C1 = 4/52 = 1/13 (b) P(a black card) = 26C1/52C1 = 26/52 = 1/2 |
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| 32. |
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (1) no girl (ii) at least one boy and one girl. |
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Answer» Given 4 girls and 7 boy's (i) no girls: Total number of selection = 4C0 x 7C5 = 1 x (7!/(5! x 2!) = [(7 x 6)/2] = 21 ways (ii) atleast 1 boy and 1 girls Girls × boys (a) 4C1 × 7C4 = 7 (b) 4C2 × 7C3 = 84. (c) 4C3 × 7C2 = 210 (d) 4C4 × 7C1 = 140 Total number of selection 441 ways . |
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| 33. |
How the Fuse rating is done and what are the fundamental types of fuse failure? |
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Answer» Fuses are rated by current capacity (Amperes) and voltage. They are usually slightly larger than the required current. That is the current requirement of the equipment is 0.75 that of fuse. There are two fundamental types of fuse failure-Fatigue-cause by normal power cycling of the apparatus. This cause the fuse to heat slightly each time it is turn on which progressively weakens the fuse. Indicated by a clean operative in the fuse element/wire. Probly safe to replace the full if ensure do not replace until checked by a qualified technician Catastrophic- Caused by a fault condition of the apparatus. Indicated by severe ‘blacking’ of the fuse. |
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| 34. |
Solve the following system of inequalities graphically 2x + y ≥ 4, x + y ≤ 3, 2x - 3y ≤ 6. |
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Answer» Total number of selection = 4C0 x 7C5 = 1 x (7!/(5! x 2!) = [(7 x 6)/2] = 21 ways |
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| 35. |
sin(A + B) = (A) sinA.cosB – cosA.sinB (B) cosA.sinB - sinA.cosB (C) sinA.cosB + cosA.sinB (D) cosA.cosB – sinA.sinB |
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Answer» Correct option is: (C) sinA.cosB + cosA.sinB |
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| 36. |
Draw all the polar response pattern of microphone. |
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Answer» Type of polar pattern of microphone 1. Omni Directional 2. Bidirectional 3. Cordiod 4. Hypercordiod 5. Super-Cardioid Patterns: 1. Omni Directional 2. Bidirectional 3. Cardioid 4. Hyper cardioid 5. Super cardioid |
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| 37. |
What do you understand by cultural diversity? |
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Answer» cultural diversity is the quality of diverse or different cultures. People from different cultural society are coming to work in one organization. So differences of their food habits. Their clothing their language and even their physical appearances are very prominent. So we have to respect each other and each other’s cultural difference. |
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| 38. |
cos(A - B) = (A) cosA.cosB + sinA.sinB (B) cosA.cosB – sinA.sinB (C) cosA.sinB + sinA.cosB (D) sinA.cosB – sinB.cosA |
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Answer» Correct option is: (A) cosA.cosB + sinA.sinB |
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| 39. |
Inductors are not used in DC circuits. Find out the reason and write it down in the science diary. |
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Answer» Back emf is not produced as the flux formed by the current has no variation. So current control by inductor in DC is not possible. |
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| 40. |
Which is the moving part in it? |
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Answer» Diaphragm and Voice coil. |
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| 41. |
What is use of blanking pulse in TV? |
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Answer» In TV blanking means ‘going black’ as part of the video signal, the blanking voltage is at the black level. Video voltage at the black level cuts off the beam currents in the picture tube to black out the light from screen. The purpose of providing the blanking pulses is to make invisible the retraces of the scanning process. The horizontal blanking pulse at the frequency of 15625Hz. Blanks out the retrace from right to left for each line. The vertical blanking pulses at 50 Hz blank out the retrace from bottom to top for each field. |
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| 42. |
What precautions must be taken while choosing a component to replace a faulty component? |
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Answer» Always try to avoid sitting while working with bare components since moving around in a chair can generate more than adequate static charge to damage electronic components. It is highly recommended not to work in a any carpeted area when touching bare components. |
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| 43. |
Differentiate between balanced and unbalanced basket weave. |
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Answer» In a regular or balanced basket or matt weave, the number of floats in the warp and the weft is equal in all the boxes created; examples are 2X2, 3X3, 4X4 basket weaves, etc. If the warp and weft floats are unequal in the different boxes, then an irregular or unbalanced basket or matt weave results; examples are 2X3, 3X4, 4X2 basket weaves, etc. |
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| 44. |
Define the term inventor in sports? |
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Answer» Inventory in sports refers to sports goods, equipment, materials stocked with the purpose of using it in the future or in a systematic manner. |
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| 45. |
Which situation causes short circuit? |
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Answer» When a phase and neutral comes into direct contact in a household circuit or when two-phase come in contact or when a phase and neutral comes into direct contact in a distribution line. |
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| 46. |
The current obtained from the cell is unidirectional and is of the same magnitude. But what are the peculiarities of the current obtained by electromagnetic induction? |
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| 47. |
What are the desirable features of printers? |
Answer»
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| 48. |
The current in the secondary coil of a transformer is 1A and that in the primary is 0.5 A.a. What type of transformer is this? b. If 200 V is available in the secondary coil of this transformer, what is the voltage in the primary?c. Explain the working principle of a transformer. |
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Answer» a. Step down Transformer. b. \(\cfrac{I_p}{I_s}\) = \(\cfrac{V_s}{V_p}\) Vp = \(\cfrac{V_s\times I_s}{I_p}\) = \(\cfrac{200 \times 1}{0.5}\) = 400 V c. Mutual Induction: Keep two sets of coils side by side. When the direction of current flow or its intensity is changed in one, the magnetic flux around it also changes. An emf and current is induced in the secondary coil. This phenomenon is called mutual induction. |
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| 49. |
Thick insulated copper wires are used in the primary coil of a step-up transformer and in the secondary of a step-down transformer. What is the necessity of this? |
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Answer» The power in the primary and secondary.of a transformer is equal. Current is more where voltage is less because P = VI. Thick wires are needed to flow more quantity of current. In the primary of step up and in the secondary of step down, quantity of current is more. |
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| 50. |
Which is used as rotor in the power generators? |
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Answer» Field magnet is used as rotor in the power generators. |
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