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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. |
` y^(2) -x^(2) = 32, y - x = 2`A. ` x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - B `y^(2) - x^(2) = 32` `(y+x)(y-x) = 32` From equation(2) y-x =2 ` (y+x) 2 = 32` ` y +x = 16` y -x = 2 ` 2y= 18 rArr y = 9` ` 9-x = 2` x = 7 |
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| 2. |
I.` x^(2) - 36x+324 = 0" "II.3y^(2)+17y+24 = 0`A. if`x lt y`B. if`x le y`C. if`x gt y`D. if`x ge y` |
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Answer» Correct Answer - C I. ` x^(2) - 36x + 324 = 0` ` x^(2) -2 xx 18 xx x + (18)^(2) = 0` ` (x - 18)^(2) = 0` ` x = 18` II. ` 3y^(2) + 17y + 24 = 0` ` 3y^(2) + 9y + 8y + 24 = 0` ` 3y(y+3) + 8 (y + 3) = 0` ` (y+3)(3y+8) = 0` ` y =- 3, - 8/3` ` x gt y` |
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| 3. |
I. ` x = sqrt(3136)` II. ` y^(2) = 3136`A. `x gt y `B. `x ge y`C. ` x lt y`D. `x = y` |
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Answer» Correct Answer - D ` x = sqrt(3136) = + 56` ` y^(2) = 3136` ` rArr y = sqrt(3136) = pm 56` Clearly, no relation can be established between x and y. |
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| 4. |
I.`sqrtx-((18)^(15/2))/x^(2) = 0" "II. sqrty = ((19)^(9/2))/y `A. If`x lt y`B. If`x gt y`C. If`x le y`D. If`x ge y` |
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Answer» Correct Answer - A I . `x^(5/(2))=(18)^(15/(2))` `rArrx=(18)^(3)` II . `y^(2)=19^(9/2)` `rArry=19^(3)` `thereforexlty` |
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| 5. |
` 2x^(2) - 15x + 28 = 0 ` ` 4y^(2) - 23y+30 = 0`A. ` x gt y`B. ` x lt y`C. ` x ge y`D. x = y or relation cannot be established |
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Answer» Correct Answer - D ` 2x^(2) -15x+28=0` ` 2x^(2) -8x-7x+28 = 0` ` x = 4, 3.5` ` 4y^(2) - 23y+30 = 0` ` 4y^(2) -15y-8y + 3 = 0` ` y = 3.75,2` Put on number line ltbrlt ` 1,3.5,3.75, 4` |
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| 6. |
`(x + 2) (x + 1) = (x -2) (x -3)` ` (y+3)(y+2)=(y-1)(y-2)`A. `x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - A ` (x+2)(x+1)= (x-2)(x-3)` ` x= 1/2 = 0.5` ` (y+3)(y+2)= (y-1)(y-2)` ` y = - 1/2 =- 0.5` |
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| 7. |
` 5x^(2) - 18x+9 =0` ` 3y^(2) + 5y - 2 = 0`A. `x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - A ` 5x^(2) - 18x + 9 = 0` `x = 0.6, 3` ` 3y^(2) + 5y - 2 = 0` ` y = 0.33, -2` |
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| 8. |
I. ` x = (1024)^(1//2)` II. ` y^(2) = 1024`A. if` x gt y`B. if ` x lt y`C. if ` x le y`D. if ` x ge y` |
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Answer» Correct Answer - C ` x = 32 ` ` y = pm 32` ` x ge y` |
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| 9. |
I. `x^(2)+5x+6=0` II. ` y^(2) + 7y + 12 = 0`A. if ` x ge y,`i.e., x is greater than or equal to y.B. if `x gt y`, i.e., x is greater than y.C. if ` x le y`, i.e., x is less than or equal to y.D. if ` x lt y`, i.e., x is less than y. |
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Answer» Correct Answer - A I. ` x^(2) + 5x + 6 = 0` ` rArr x^(2) + 2x + 3x + 6 = 0` ` rArr x(x+2) + 3(x+2) = 0` ` rArr (x+3)(x+2) = 0` ` rArr x =- 3 or -2` II. ` y^(2) + 7y + 12 = 0` ` rArr y^(2) + 4y+3y+ 12 = 0` ` rArr y(y+4) + 3(y+4) = 0` ` rArr y =- 3 or -4 ` On comparing the value of equ. (i) and equ.(ii) ` x ge y` |
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| 10. |
I.` x^(2) - 3481 = 0" "II. 3y^(2) = root(3)(216000)`A. If`x lt y`B. If`x gt y`C. If`x le y`D. If x = y or no relation can be established |
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Answer» Correct Answer - D I . `x=+-59` II. `3y^(2)=60` `rArry=+-sqrt(20)` `therefore` No relation exists |
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| 11. |
I` 3x^(2) + 4x + 1 = 0" "II. Y^(2) + 5y + 6 = 0`A. if `x gt y`B. if `x ge y`C. if ` y gt x `D. if ` y ge x` |
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Answer» Correct Answer - A I.` 3x^(2) + 3x + x + 1 = 0` ` rArr 3x(x+1)+1(x+1) = 0` ` rArr x = -1, -1/3` II.` y^(2) + 3y +2y + 6 = 0` `rArr y(y+3)+2(y+3) = 0` ` rArr y =- 2, -3` ` :. X gt y` |
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| 12. |
`12x^(2)+29x+14=0` ` y^(2) + 9y+18 = 0`A. `x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - A ` 12x^(2) + 29x+14 = 0` ` x =- 1.75, - 0.6` ` y^(2) + 9y + 18 = 0` ` y =- 6, -3` |
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| 13. |
I.` x^(2) - 7x + 10 = 0" "II. Y^(2) - 12y + 35 = 0`A. if `x gt y`B. if `x ge y`C. if ` y gt x `D. if ` y ge x` |
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Answer» Correct Answer - D I. ` x^(2) -5x-2x + 10 = 0` ` rArr x (x-5)-2(x-5) = 0` ` rArr x = 2,5` II. ` y^(2) -7y -5y + 35 = 0` ` rArr y(y-7) - 5 (y -7) = 0` ` rArr y = 7, 5` ` :. X le y` |
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| 14. |
I.` 15x^(2) - 2x-1=0` II.` y^(2) - 9y+14 = 0`A. If x = y or no relation can be establishedB. If`x gt y`C. If ` x lt y`D. If`x ge y` |
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Answer» Correct Answer - C (a)If x=y or no relation can be established (b)If x gt y , (c )If x lt Y (d)If `ge` y (e)If x `le` y I. ` 15x^(2) -2x -1 = 0` ` rArr 15x^(2) -5x + 3x -1 = 0` ` rArr 5x(3x -1) +1 (3x -1) = 0` ` x = 1/3, -1/5` II. ` y^(2) -9y+14 = 0` ` rArr y^(2) - 7y -2y + 14 = 0` ` rArr y(y-7) -2(y-7) = 0` ` rArr (y-2) (y-7) = 0` ` rArr y =2, 7` |
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| 15. |
I. ` x^(2) - 3x + 2 = 0" "II. 2y^(2) - 7y+6 = 0`A. if `x gt y`B. if `x ge y`C. if ` y gt x `D. if x = y or no relation can be established |
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Answer» Correct Answer - D ` I. x^(2) - 2x - x + 2 = 0` ` rArr x (x-2)-1(x-2) = 0` ` rArr (x-1)(x-2) = 0` ` rArr x = 1, 2` II. ` 2y^(2) -7y + 6 = 0` ` rArr 2y^(2) - 4y - 3y+6 = 0` ` rArr 2y (y-2) -3 (y-2) = 0` ` rArr y =2, 3/2` `:. ` No relation established |
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| 16. |
I.` 2x^(2) + 5x + 2 = 0" "II. Y^(2) + 9y + 20 = 0`A. if `x gt y`B. if `x ge y`C. if ` y gt x `D. if ` y ge x` |
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Answer» Correct Answer - A I.` 2x^(2) + 4x + x + 2 = 0` ` rArr 2x(x+2) + 1(x+2) = 0` ` rArr x = - 2, (-1)/2` II. ` y^(2) + 5y+ 4y + 20 = 0` ` rArr y(y+5)+4(y+5) = 0` ` rArr y = -4, -5` ` :. X gt y` |
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| 17. |
I.` 5x^(2) + 2x - 3 = 0" "II. 2y^(2) + 7y + 6 = 0`A. If`x lt y`B. If`x gt y`C. If`x le y`D. If`x ge y` |
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Answer» Correct Answer - B I. `5x^(2)+5x-3x-3=0` `5x(x+1)-3(x+1)=0` `x=(3)/(5),-1` II.`2y^(2)+4y+3y+6=0` `2y(y+2)+3(y+2)=0` `y=(-3)/(2),xgty` |
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| 18. |
I.` x^(2) - 5x - 14 = 0" "II. Y^(2) + 7y + 10 = 0`A. If`x lt y`B. If`x gt y`C. If`x le y`D. If`x ge y` |
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Answer» Correct Answer - D I. `x^(2)-7x+2x-14=0` `x(x-7)+2(x-7)=0` `x=7, -2` II. `y^(2)+5y+2y+10=0` `y=-2, -5` `xgey` |
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| 19. |
` 5x + 2y = 31` ` 3x + 7y = 36`A. `x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - A ` 5x+2x = 31`_________ (1) ` 3x+7y = 36` _________ (2) By solving eqn(1) and (2) ` x=5, y = 3` |
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| 20. |
I. ` 8x+7y = 135" "` II.` 5x+6y = 99` III.` 9y+8z= 121`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y gt z ` |
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Answer» Correct Answer - D By equation `I xx 5 - II xx 8` `{:(40x+35y=675),(40x+48y=792),(-" "-" "-),(bar(" "-13y=-117)):}` ` rArr y = 9` From equation I, ` 8x+7xx9 = 135` ` rArr 8x = 135 - 63 = 72` ` rArr x = 9` From equation III, ` 9xx9+8z = 121` ` rArr 8z = 121 -81 = 40` ` rArr z = 5` Clearly, ` x = y gt z ` |
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| 21. |
Write a program to calculate area of circle. |
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Answer» #include < stdio.h > #include < conio.h > #define PI 3.141 int main() { float radius, area; printf("Enter radius of circle\n"); scanf("%f", & radius); area = PI * radius * radius; printf("Area of circle : %0.4f\n", area); getch(); return 0; } |
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| 22. |
A particle moves in a plane with a constant speed along a path `y=2x^(2)+3x-4` When the particle is at (0,-4) the direction along which it is moving is inclined to the X axis at an angle. Given `tan^(-2) 3=72^(@)`A. `63^(@)`B. `72^(@)`C. `27^(@)`D. `0^(@)` |
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Answer» Correct Answer - B `(dy)/(dx)=4x+3=3("at" x=0)` `:. tan theta =3" "0 =72^(@)` |
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| 23. |
If E denotes of electric field, the dimension of a quantity `in_(0)(dE)/(dt)` are those ofA. currentB. current densityC. electric potentialD. electric flux |
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Answer» Correct Answer - B Displacement current `= in_(0)((d)/(dt)(EA))` `:. in_(0)(d)/(dt)=("displacement currrent")/(A)`. |
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| 24. |
Figure represents on the log-log scale pressure (P) dependence of adiabatic compressibility (K) of two gasses. Mark the correct option/s. A. Line 1 & 2 may represent monoatomic and diatomic gas respectively.B. Line1 & 2 may represent diatomic and monoatomic gasses respectively.C. Degree of freedom for the gas represented by line 1 is more then the degree of freedom for line 2D. Degree of freedom for the gas represented by line 2 is more than the degree of freedom for line 1. |
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Answer» Correct Answer - B::C Adiabatic compressibility (K) `=1//(gammaP)` Taking log In `K=-l ngammaP=-l nP-l ngamma` Let `l nK=y,l nP=x and l ngamma=c` ` Rightarrow y=-x-c` intercept on y axis is-c `=-l n gamma` `Rightarrow gamma_(2) gt gamma_(1)` Higher `gamma` means lower atomicity and lower degree of freedom. So (B) and (C) |
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| 25. |
Which of the following quantities is the same for all ideal gases at the same temperature?A. the total translational kinetic energy of the molecules in 1 mole gasB. the kinetic energy of 1 gmC. the number of molecules in 1 moleD. the number of molecules in 1 gm |
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Answer» Correct Answer - A::C TKE per mole `=3/2` RT (same for all ideal gas) No of molecules in one mole `=6.023xx10^(23)` molecules. (same for all gases) |
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| 26. |
Prove that cos3A = 4cos3A - 3cosA. |
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Answer» L.H.S = cos3A = cos(2A+A) = cos2A.cosA – sin2A.sinA = (2cos2A - 1)cosA – 2sinA cosA sinA = 2cos3A – cosA – 2cosA(1-cos2A) = 2cos3A – cosA – 2cosA + 2cos3A = 4cos3A – 3cosA = R.H.S. |
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| 27. |
Statement-1 : A 200 watt bulb glows with more brightness than 100 watt bulb.Statement-2 : 100 watt bulb has more resistance than 200 watt.(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is true, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (3) Statement-1 is true; Statement-2 is False(4) Statement-1 is False, Statement-2 is True |
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Answer» Correct option (2) Statement-1 is true, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 |
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| 28. |
Which of the following is not the same as watt? (A) joule/sec (B) amperes/volt (C) amperes x volts (D) ( amperes )2 x ohm |
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Answer» (B) amperes/volt |
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| 29. |
An electric current of 5 A is same as (A) 5 J / C (B) 5 V / C (C) 5 C / sec (D) 5 w / sec. |
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Answer» An electric current of 5 A is same as 5 C / sec. |
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| 30. |
One kilowatt hour of electrical energy is the same as (A) 36 x 105 watts (B) 36 x 105 ergs (C) 36 x 105 joules (D) 36 x 105 B.T.U. |
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Answer» (C) 36 x 105 joules |
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| 31. |
Solve: (x + 2) (3x – 5) = 0 |
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Answer» Given that (x + 2)(3x– 5) = 0 ⇒ x +2 = 0 or 3x – 5 = 0 ⇒ x = –2 or x = \(\frac{5}3\) . Hence, the solution (or roots) of the given equation are –2 and \(\frac{5}3\). |
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| 32. |
If cotA = \(\frac{4}5\) , prove that \(\frac{(sin\,A+cos\,A)}{(sin\,A-cos\,A)}\) = 9 |
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Answer» Given that cot A = \(\frac{4}5\), Now,\(\frac{sin\,A+cos\,A}{sin\,A-cos\,A}\) = \(\frac{1+\frac{cosA}{sinA}}{1-\frac{cosA}{sinA}}\) (Dividing both numerator and denominator by sin A) = \(\frac{1+cotA}{1-cotA}\) = \(\frac{1+\frac{4}{5}}{1-\frac{4}{5}}\) = \(\frac{\frac{9}{5}}{\frac{1}{5}}\) = 9 (∵ cot A = 4/5) Hence Proved |
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| 33. |
What is geostationary satellite ? State its uses. |
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Answer» Geo-stationary satellite : If the period of revolution of an artificial satellite is equal to the period of rotation of earth, then such a satellite is called geo-stationary satellite. Time period of geo-Stationary satellite is 24 hours. Uses : (1) Study the upper layers of atmosphere (2) Forecast the changes in atmosphere (3) Know the shape and size of the earth. (4) Identify the minerals and natural resources present inside and on the surface of the earth. (5) Transmit the T. V. programmes to distant objects (6) Under take space research i.e. to know about the planets, satellites, comets etc. |
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| 34. |
Mention the methods used to decrease friction. |
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Answer» (1) Polishing : By polishing the surfaces of contact, friction can be reduced. (2) Bearings : The rolling friction is less than the sliding friction hence free wheels of a cycle, motor car, dynamos etc., are provided with ball bearings to reduce friction. Bearings convert sliding motion into rolling motion. (3) Lubricants : The lubricant forms a thin layer between surfaces of contact. It reduces the friction. In light vehicles or machines, oils like "three in one" are used as lubricants. In heavy machines grease is used. In addition to this they guard the mechanical parts from over heating. (4) Streamlining : Automobiles and Aeroplanes are streamlined to reduce the friction due to air. |
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| 35. |
If 2sin2θ = √3, prove that θ = 30°. |
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Answer» Given that 2sin2θ = √3 ⇒ sin2θ = \(\frac{\sqrt3}2\) = sin60° (∵ sin60° = \(\frac{\sqrt3}2\) ) ⇒ 2θ = 60° (By comparing the angle) ⇒ θ = \(\frac{60°}2\) = 30° Hence Proved |
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| 36. |
Show that the function `f(x)=2x-|x|`is continuous but notdifferentiable at `x=0` |
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Answer» `f(x)=2x-x,x>=0` `f(x)=2x-(-x),x<0` f(x) is continuous when lim f(x)=limf(x)=f(0) `LHL=lim_(x->0^-)(3x)=0` `RHL=lim_(x->0^+)=0` `f(0)=0` f(x) is differential only when LHD=RHD `LHD=lim_(x->o^-)(f(x)-f(0))/(x-0)=lim_(x->0^-)((3x-0)/(x-0))=3` `RHD=lim_(x->0^+)((f(x)-f(0))/(x-0))=lim_(x->0^+)((x-0)/(x-0))=1` `LHD!=RHD` f(x) is not differential at x=0. |
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| 37. |
Show that the total surface area of a closed cuboidwith square base and given volume is minimum, when it is a cube. |
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Answer» Volume of a cuboid witha square base `V= l**l**h` Here, `l` is length and breadth and `h` is the height. `:. V = l^2h => h = V/l^2` Now, total surface area of the cuboid `S = 2(l**l+l**h+l**h) ` `=> S = 2l^2+4lh` `=> S = 2l^2+4l(V/l^2)` `=> S = 2l^2+(4V)/l` Now, surface area will be minimum when `(dS)/(dl)` is `0`. `=>(dS)/(dl) = 4l-(4V)/l^2` For minimum surface area, `=> 4l-(4V)/l^2 = 0` `=>4l^3-4V = 0` `=>V = l^3` So, `h = V/l^2 = l^3/l^2 = l` So, all of the sides of the cuboid is `l`. Hence, it is a cube. |
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| 38. |
A uniform ball of radius `R` rolls without slipping between the rails such that the horizontal distance is `sqrt(3)R` between the two contact points of te rails of the ball. Figure (a) shows front view of the ball and figure (b) shows the side view of the ball. `v_(CM)` is the velocity of centre of mass of the ball and `omega` is the angular velocity of the ball after rolling down a distance `2h` along the incline then A. `V_(CM)=omegaR`B. `V_(CM)=omega R/2`C. `V_(CM)=sqrt((10gh)/13)`D. `V_(CM)=sqrt((10 gh)/7)` |
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Answer» Correct Answer - B::C `v_(CM)=omega sqrt(R^(2)-(3R^(2))/4)=omega R/2` (from pure rolling) `mgh=1/2mv_(cm)^(2)+1/2 2/5 mR^(2)omega^(2)` (from conservation of energy) `:.v_(CM)=sqrt((10gh)/13)` |
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| 39. |
The Chinese proverb - Without rice, even the deverest woman cannot cook - is true for innumerable Indians too. Eating simply boiled rice is the world’s most important basic type of food. It’s also as delicious as pulao, biryani, idli, appams, kheer, or puddings. The grain is available in myriad varieties the world over. It’s not fattening, contrary to some urban myths scientists and diet experts know that rice is good for you and can’t make you heavier. It mainly comprises carbohydrates that do not add kilos, if consumed in moderation An average 100 gram serving of rice has only about 0.4 gram of fat. This serving has no more than 100 calories. And, writes noted culinary expert Tarla Dalal, - Rice has approximately the same calories as whole wheat and hence is not more fattening,It’s easy to digest. Rice Janji is, therefore, a home remedy for diarrhea, in fact, the Janji with a few accompaniments, like coconut chutney and cooked beans, makes for a healthful meal that millions in Kerala enjoy. White or brown? Unpolished brown rice may not be as popular as white, but is a good source of complex carbohydrates providing starch and fiber. It takes relatively more time to digest allowing the body to consume the energy released over an extended period. Brown rice is also richer in vitamins, vitamin H, E, and minerals like manganese and selenium, which make it more nutritious than the white rice varieties. However, white rice, too, has calcium and the essential B vitamins nan and thiamine. It’s healthy since rice has no cholesterol or sodium; it is safe for those suffering from hypertension. Diabetics, who prefer rice daily, could choose brown rice after checking with their doctor.1. Name two Indian dishes made out of rice.a. Poha, Imarti are two Indian dishes made out of rice.b. Kheer, Idli are two Indian dishes made out of rice.c. Cake and roti are two Indian dishes made out of rice.d. Kadhi and waffle are two Indian dishes made out of rice.2. Fill in the blanks :_____ is a home remedy for diarrhoea.a. Rice Janjib. Jackfruitc. Bananad. Diarrhoea3. Pick out the word from the passage which means 'a medicine or treatment for a disease'.a. Cause' means 'a medicine or treatment for a disease'.b. Solution' means 'a medicine or treatment for a disease'.c. Remedy' means 'a medicine or treatment for a disease'.d. Recovery' means 'a medicine or treatment for a disease'.4. Rice has approximately the same calories as whole _______.a. Wheatb. Pulsesc. Juted. Barley5. Choose the correct option : 100 gm serving of rice has not more than _____ calories in it.a. 450b. 100c. 80d. 3006. Choose the correct option :What does brown rice contain?a. Brown rice contains Vitamin B and E.b. Brown rice contains Vitamin B and A.c. Brown rice contains Vitamin A and E.d. Brown rice contains Vitamin A and C.7. Choose the correct option : Which proverb says that "without rice, even the cleverest woman cannot cook"?a. The Indian says that "without rice, even the cleverest woman cannot cook"b.The French says that "without rice, even the cleverest woman cannot cook"c. The British says that "without rice, even the cleverest woman cannot cook"d. The Chinese says that "without rice, even the cleverest woman cannot cook"8. Fill in the blanks :It is safe for ____ pateints to have rice daily and to choose brown rice in their diet.a. Diarrhoeab. Cancerc. Diabeticd. Asthma9. State true and false :Polished brown rice may not be as popular as white, but is a good source of complex carbohydrates providing starch and fiber.a. Trueb. False10. Which of these is the synonym of 'moderation'?a. Unreasonable is a synonym of 'moderation'.b. Exorbitant is a synonym of 'moderation'.c. Restrain is a synonym of 'moderation'.d. Steep is a synonym of 'moderation'. |
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Answer» 1. b. Kheer, Idli are two Indian dishes made out of rice. 2. a. Rice Janji 3. c. Remedy' means 'a medicine or treatment for a disease'. 4. a. Wheat 5. b. 100 6. a. Brown rice contains Vitamin B and E. 7. d. The Chinese says that "without rice, even the cleverest woman cannot cook" 8. c. Diabetic 9. b. False 10. c. Restrain is a synonym of 'moderation'. |
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| 40. |
36 आदमी मिलकर 140 मी. लम्बी दीवार 21 दिन में बना सकते है, यदि वह दीवार 14 दिन में उसी औसत से बनाई जानी हो तो कितने आदमियों की आवश्यकता होगी ?A. 54B. 48C. 36D. 18 |
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Answer» Correct Answer - A Using formula `=(m_(1)d_(1)h_(1))/(w_(1))` `=(m_(2)d_(2)h_(2))/(w_(2))=(36xx21)/(140)=(14xxm_(2))/(140)` `m_(2)=54` men |
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| 41. |
Read the passage given below :Then all the windows of the grey wooden house (Miss Hilton used to live here. She expired last week) were thrown open, a thing " had never seen before. At the end of the day, a sign was nailed on the mango tree : FQR SALENobody in the street knew Miss Hilton. While she lived in the house her front gate was always locked and no one ever saw her leave or saw anybody go in. So even if you wanted to, you couldn't feel sorry and say that you missed Miss Hilton. When I think of her house I see just two colors grey and green. The green of the mango tree, the grey of the house, and the grey of the high iron fence that prevented you from getting at the mangoes.If your cricket ball fell in Miss Hilton's courtyard you never got it back It wasn't the mango season when Miss Hilton died. But we got back about ten or twelve of our cricket balls. The house was sold and we were prepared to dislike the new owners ever before they came. I think we were a little worried. Already we had one resident of the street who kept on complaining about us to our parents. He complained that we played cricket on the pavement and if we were not playing cricket he complained that we were making too much noise anyway. One afternoon when I came back from school Pal said, Are a man and a woman.She is pretty, but he is ugly like hell. I didn't see much : The front gate was open but the windows were shut again. I heard a dog barking. One thing was settled pretty quickly. Whoever these people were they would never be the sort of people to complain that we were making noise and disturbing their sleep. A lot of noise came from the house that night. The radio was switched on full volume until mid-night when the radio station closed down The dog was barking and the man was shouting, I did not hear the woman.1. Which two colors were there in Miss Hilton's house?a. Green and Grey were the two colors in Miss Hilton's house.b. Green and Pink were the two colors in Miss Hilton's house.c. Blue and Grey were the two colors in Miss Hilton's house.d. Red and Grey were the two colors in Miss Hilton's house.2. How many cricket balls did the boys get back from Miss Hilton's house?a. The boys got back about five or six cricket balls from Miss Hilton's house.b. The boys got back about two or four cricket balls from Miss Hilton's house.c. The boys got back about one or three cricket balls from Miss Hilton's house.d. The boys got back about ten or twelve cricket balls from Miss Hilton's house.3. Fill in the blanks :A man was shouting, a dog was barking only _____.a. the other man was unheard.b. the woman was unheard.c. the pretty girl was unheard.d. the old lady was unheard.4. Who were the three new owners of Miss Hilton's house?a. The pretty woman, her ugly husband and their pet dog were the three owners of Miss Hilton's house.b. The ugly woman, her ugly husband and their pet dog were the three owners of Miss Hilton's house.c. The pretty woman, her handsome husband and their pet dog were the three owners of Miss Hilton's house.d. The pretty woman, her ugly husband and their pet cat were the three owners of Miss Hilton's house.5. 'For sale' sign was nailed on?a. 'For sale' sign was nailed on the Neem tree.b. 'For sale' sign was nailed on the Apple tree.c. 'For sale' sign was nailed on the Mango tree.d. 'For sale' sign was nailed on the tree.6. Choose the correct option : What was the color of high iron fence?a. Blueb. Yellowc. Pinkd. Grey7. Fill in the blanks :One of the residents of the speaker's street always complained against them to ____.a. their grandparents.b. their parents.c. their siblings.d. the local police station.8. Fill in the blanks :The ___ was switched on, on full volume until midnight in new neighbour's house.a. radiob. televisionc. speakersd. geyser9. Which of these words from the paragraph means same as 'Grumbling'?a. Whining means the same as 'grumbling'.b. Compliment means the same as 'grumbling'c. Complaining means the same as 'grumbling'd. Opposing means the same as 'grumbling'10. State true or false :Nobody in the street knew Miss Hilton.a. Trueb. False |
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Answer» 1. a. Green and Grey were the two colors in Miss Hilton's house. 2. d. The boys got back about ten or twelve cricket balls from Miss Hilton's house. 3. b. the woman was unheard. 4. a. The pretty woman, her ugly husband and their pet dog were the three owners of Miss Hilton's house. 5. c. 'For sale' sign was nailed on the Mango tree. 6. d. Grey 7. b. their parents. 8. a. radio 9. c. Complaining means the same as 'grumbling' 10. a. True |
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| 42. |
A solid spherical ball is released from rest on an incline of inclination angle `theta` (which can be varied ) but through a fixed vertical height `h`. The coefficient of static and kinetic friction are both equal to `mu`. If `E` represents the total kinetic energy of the ball at the bottom of the incline as a function of the angle of inclination `theta`. `W` represents the work done by friction for the whole time of motion as a function of the angle of inclination `theta`. Choose of correct graph (s)A. B. C. D. |
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Answer» Correct Answer - B::C For small angle of inclinations, ball rolls without slipping. So there is no work done by friction. At some critical angle `theta_(C)`, the ball starts slipping. For `thetagt theta_(C)` energy would be lost due to work done by kinetic friction. But gain for `(theta=pi//2)`, friction would be zero. |
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| 43. |
When it was too late, he wished he _______ a better husband. A) has been B) had been C) were D) would be |
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Answer» Correct option is B) had been |
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| 44. |
`W_(1),W_(2)` and `W_(3)` are the different sizes of windows `1, 2,` and `3` respectively placed in a vertical plane. A particle is thrown up in the vertical plane. Let `t_(1),t_(2)` and `t_(3)` are the time taken to cross the window `W_(1), W_(2)` and `W_(3)` respectively and `DeltaV_(1), DeltaV_(2)` and `DeltaV_(3)` are the change in speed after respective window cross. A. Average speed of the particle passing the windows may be equal if `W_(1)ltW_(2)ltW_(3)`B. Average speed of the particle passing the windows may be equal if `W_(1)gtW_(2)gtW_(3)`C. If `W_(1)=W_(2)=WP_(3)`, the change in speed of the particle while crossing the windows will satisfy `DeltaV_(1)ltDeltaV_(2)ltDeltaV_(3)`D. If `W_(1)=W_(2)=W_(3)`, the time taken by particle to cross the windows will satisfy `t_(1)lt t_(2) lt t_(3)` |
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Answer» Correct Answer - A::C::D As going up, speed of the particle is decreasing and hence the time taken in crossing the windows will be `t_(1)lt t_(2) lt t_(3)` (if `W_(1)=W_(2)=W_(3)`) Simultaneously `DeltaVpropt` `:.DeltaV_(1)ltDeltaV_(2)lt DeltaV_(3)` For unequal windows `t_(1)=t_(2)=t_(3)` may be if `W_(3)ltW_(2)ltW_(1)` |
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| 45. |
The potential energy function of a particle is given by `U(r)=A/(2r^(2))-B/(3r)`, where `A` and `B` are constant and `r` is the radial distance from the centre of the force. Choose the correct option (s)A. The equilibrium distance will be `r_(0)=(2A)/B`B. The equilibrium distance will be `r_(0)=(3A)/B`C. If the total energy of the particle is `(B^(2))/(6A)`, then its radial velocity will vaishh ate `(r_(0))/3`, where `r_(0)` is the equilibrium distanceD. If the total energy of the particle is `(B^(2))/(6A)`, then its radial velocity will vanish at `(r_(0))/2`,where `r_(0)` is the equilibrium distance. |
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Answer» Correct Answer - B::C `F=-(dU)/(dr)=A/(r^(3))-B/(3r^(2))` For equilibrium `F=0, r=(3A)/B` `(B^(2))/(6A)=A/(2r_(0)^(2))-B/(3r_(2))` (for `r_(0)=r/3`) |
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| 46. |
Velocity of a particle of mass `2 kg` change from `vecv_(1) =-2hati-2hatjm/s` to `vecv_(2)=(hati-hatj)m//s` after colliding with as plane surface.A. The angle made by the plane surface with the positive `x`-axis is `90^(@)+tan^(-1)(1/3)`B. The angle made by the plane surface with the positive `x`- axis is `tan^(-1)(1/3)`C. The direction of change in momentum make an angle `tan^(-1)(1/3)` with the positive `x`-axisD. The direction of charge in momentum makes an angle `90^(@)+tan^(-1)(1/3)` with the plane surface. |
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Answer» Correct Answer - A::C `DeltavecP=2(hati-hatj)-(-2hati-2hatj)` `=6hati+2hatj` kg-m/s So `DeltavecP` makes angle `tan^(-1)(1/3)` with positive `x`- axis which is also the direction of normal force exerted on the ball. So the plane surface makes an angle `(pi)/2+tan^(-1)(1/3)` with positive `x`- axis. |
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| 47. |
Match the following: Distance of centre of mass (in `m`) of the body (shown in column-1) from the axis (shown in column-2)A. (I)(i)(Q)B. (II)(ii)(S)C. (III)(iii)(P)D. (IV)(iv)`(R)` |
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Answer» Correct Answer - C Centre of mass of a triangular uniform plate from its base is `h/3=1m` |
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| 48. |
You can’t change things simply by wishing they _______ different. A) are B) will be C) would be D) were |
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Answer» Correct option is D) were |
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| 49. |
Match the following: Moment of inertia of body (in `kg-m^(2)`) (shown in column -1) about the axis (shown in column -2)A. (I)(i)(S)B. (II)(ii)(S)C. (III)(iii)(Q)D. (IV)(iv)`(R)` |
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Answer» Correct Answer - B::C `I_("axis")=2/5MR^(2)+MR^(2)=7/5MR^(2)=7/5xx5/7xx9=9kg-m^(2)` |
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| 50. |
what is pollution? |
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Answer» Pollution is the introduction of harmful materials into the environment. These harmful materials are called pollutants. Pollutants can be natural, such as volcanic ash. They can also be created by human activity, such as trash or runoff produced by factories. Pollutants damage the quality of air, water, and land. |
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