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. |
The diameter of the planets Jupiter and Uranus are 1.4 x 10km and 5.1 x 10 km respectivelyCompare the sizes of these two planets. |
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Answer» 12.4567 Jupiter_ 145 uranus_257 |
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| 2. |
---------------16. If three days before yesterday was Wednesday, whatwill be two days after tomorrow?यदि बीते हुए कल से तीन दिन पहले बुधवार था, तो आगामी कलके दो दिन बाद कौन-सा दिन होगा?(1) Wednesday / बुधवार (2) Monday / सोमवार(3) Friday / शुक्रवार (4} Tuesday / मंगलवार(SSC CML (Pre) Exam. 12.05.2002 (Ist Sitting |
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Answer» Three days before yesterday is Wednesday. Then, today is 4 days after Wednesday So, today is Monday. Therefore, two days after tomorrow is 3 days after Monday which is Friday. (3) is correct option 4 Is the best answer 3 days before yesterday is Wednesday,,that means 4days back was Wednesday. then today will be Sunday. 2 days after tomorrow will be 3 days. Then 3 days after Sunday will be wednesday. answer is Wednesday,..!! Wednesday is ryt ans |
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| 3. |
Arrange the routes in ascending orderNama boughtgrew 3 em. Now how tall is Naina's plant7rew 12 em and the newe10.plant that was 42 cm tall. In the first week, IHigh Order Thinking Skills (HOTS)b . m 쯔 + x Z, using the digits 1 to |
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| 4. |
If p(x) 3x-2x2+5x-7 is divided by q(x)-1-3x, then find theremainder and check the result. |
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| 5. |
\begin{array} { l } { \text { Q. 3. In the following polynomials, their } } \\ { \text { zeros are given, find all other zeros. } } \\ { \cdot \left( \text { i) } f ( x ) = g x ^ { 4 } - 3 x ^ { 3 } - 3 x ^ { 2 } + 6 x - 2 ; \sqrt { 2 } \right. } \\ { \text { ind } - \sqrt { 2 } } \end{array} |
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| 6. |
) For an A.P. 6., 4, 2,..,. ind S10- |
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| 7. |
6. Find five rational numbers between 1 and 2indHind want to |
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| 8. |
X+2ind x. |
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Answer» 9^(x+2) -9^x = 240 => 9^x(9²-1) = 240=> 9^x(80) = 240=> 9^x = 240/80 = 3=> 3^2x = 3=> 2x = 1=> x = 1/2 |
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| 9. |
Simplifying SSimplify.) N96 |
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Answer» First find prime factors of 9696 = 2*2*2*2*2*3 sqroot (96) = 2*2*sqroot (2*3)= 4 sqroot (6) |
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| 10. |
The sum value of x on simplifying 2 - 2 = -3 is |
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Answer» How To Solve How To Simplifying |
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| 11. |
The sum value of x on simplifying 2 - 2 x = -3 is |
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Answer» I think the answer is false |
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| 12. |
3. Find five rational numbers between - 1 and +1 using the method of arithmetic mean.22 |
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Answer» the answer is 5 is rational no. |
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| 13. |
ToCosOcos θsin θind X and Y, if(i) X + Y =17 0and X-Y =ii)+2Y=| 2-22X+3Y=and 3X+2Y=[3 2 |
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| 14. |
6x 2ind the local maxima of the function f(x) |
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Answer» x²+2 is minimum when x = 0 , so it will make the fraction maximum so, local maxima is at x = 0 and the value is y = 6/(0+2) = 3. |
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| 15. |
+3x+g-0 has two rootsx-x-2 ind |
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Answer» px*x + 3x + q = 0 x =-1,-2 are roots so output will be 0. p(-1)(-1) + 3(-1) + q = 0 p + q = 3 p(-2)(-2) + 3(-2) + q = 0 4p + q = 6 4p + q - p - q = 6 - 3 3p = 3 p = 1 q = 2 Hence,q-p=2-1=1 |
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| 16. |
If $ y=\sin ^{-1}\left(6 x \sqrt{1-9 x^{2}}\right),-\frac{-1}{3 \sqrt{2}}<x, \frac{1}{3 \sqrt{2}} $ then ind $ d y / d x $ |
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| 17. |
ind the zeros of the polynomial xx^{2}-3 x-m(m+3) |
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Answer» x2-3x-m(m+3)=0D=b2-4ac=〖(-3〗2)- 4×1×-m(m+3)=9 – 4 ×-m2-3m=9+〖4m〗2+12m=4m2+12m+9=〖(2m)〗2+2×(2m)×3+32=(2m+3)2√(D ) =2m+3 x=(-b±√(b2-4ac)) / 2a=(3+(2m+3))/(2×1)= (6+2m)/2= 6/2+2m/2 =3+mx= (-b±√(b2-4ac))/2a = (3-(2m+3))/(2×1) = (3-2m-3)/2 =-mANS : (-M,M+3) |
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| 18. |
(vii) 4pq – 5q2 – 3pfrom 5p2 + 3q? - pq |
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| 19. |
6. Tick the correct option.a. The value of the expressionb. On simplifying 4pq (p2 +gc. The number of terms in the product of3xy (x2-xy+y2) at x1)-l isiv. 1-4pa (p-)we geti. 0 ii. 8pq ii. 8p(x- 4) and (a -7x+ 12) isiv. 2 |
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Answer» a) putting value you will get -9 as 3xy gives -3 and the bracket term will be 3 so thoer product is -9 b and c also b and c answers |
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| 20. |
If3r + 4v 16 and 3-4,-4, find the value of xy.[Hint: Use the formula (p qi-(p-q)-4pq.] |
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| 21. |
Find laxbl, i\vec{a}=\hat{i}-7 \hat{j}+7 \hat{k} \text { and } \vec{b}=3 \hat{i}-2 \hat{j}+2 \hat{k} |
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| 22. |
\begin{array} { l } { \text { Differentiate the following functions } w , \mathbf { r } \text { . to } x : } \\ { \text { (1) } \frac { \sin x - x \cos x } { x \sin x + \cos x } } \\ { \text { (2) } ( \log x ) \sin x } \end{array} |
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Answer» 1 2 3 |
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| 23. |
11. ATV tower stands vertically on a bank.of a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 600. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30° (see Fig. 9.12). Find theheight of the tower and the width ofthe canal.← |
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| 24. |
140QR QT. InFig. 6.36, OS = PR and <k/2. ShowANGLEthat Î PQS-A TOR.11. In5. S and T are points on sides PR and QR ofetD/RTS Show that |
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Answer» Two Triangles are said to be similar if their i)corresponding angles are equal and ii)corresponding sides are proportional.(the ratio between the lengths of corresponding sides are equal) •Similarity of triangles should be expressed symbolically using correct correspondence of their vertices. SOLUTION: In ΔPQR, ∠1 = ∠2∠PQR = ∠PRQ [GIVEN]∴ PR = PQ ……………..…(1) [Sides opposite to equal angles of a triangle are also equal]Given: QR/QS = QT/PRQR/QS = QT/PQ QS/QR = PQ/QT…... …(ii) [Taking reciprocals] [From eq (i)]In ΔPQS and ΔTQR,QS/QR = PQ/QT [From eq (ii)] ∠PQS = ∠TQR [ common]∴ ΔPQS ~ ΔTQR [By SAS similarity criterion] Hence, proved |
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| 25. |
quesA anctohich Passes Ahraah the)the2-2Pont S,a |
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| 26. |
4. In Fig. 6.36, QR/QS = QT/PR and ∠1 = ∠2, Show that ∆ PQS ∼ ∆TOR. |
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Answer» 1 |
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| 27. |
angle atin tohich ale ke Yo ds he os units at 24 dc . |
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| 28. |
divide the following expression (x^5 -y^5) ÷(x-y) |
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| 29. |
EXERCISE 2A1. Which of the following expressions are polymon(i) x5-2x3 + x + 7(ii) y3-43y |
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Answer» polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. So, both are polynomials. |
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| 30. |
EXERCISE 2A. Find the zeros of the quadratic polynomial (a+ 3x -10) and verify therelation between its zeros and coefficients. |
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| 31. |
11. A traincovers four successive 7 kmdistances at speeds of 10 km/hour, 20km/hour, 30 km/hour and 60 km/hourrespectively. Its average speed over thisdistance isčł? |
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Answer» Total distance covered = 7*4 = 28 km Total time taken = (7/10 + 7/20 + 7/30 + 7/60) = 42+21+14+7/60 = 84/60 = 7/5 hours average speed = Total distance/total time = 28/(7/5) = 4*5 = 20 kmph Like my answer if you find it useful! |
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| 32. |
Add:634 m, 15 km 76 m and 8 km 708126 km 634 mom 7 km 7 mandir |
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Answer» 50.418km is the right answer 50.418km is the correct answer 50 km 418 m is the right answer. |
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| 33. |
I1. A TV ower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60 From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of the pAtower is 30° (see Fig. 9.12). Find the20mCheight of the tower and the width ofthe canal.Fig. 9.12 |
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Answer» good |
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| 34. |
A TV tower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 600. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30° (see Fig. 12.12). Find the 20mCheight of the tower and the width ofthe canal.30Fig. 12.12 |
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| 35. |
.ATVtower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30 (see Fig. 9.12). Find the20mheight of the tower and the width ofthe canal.60Fig. 9.12 |
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| 36. |
o.. A TV tuwer stands vertically on a hask of cona Frmpaint on the other bedirectly opposite the twwer, the angke of eevatio of he u of the wwer sFrom another point 20m away frem this point on thr แw psising this paint thefout of the tower, the angle of evat of the top of the swr in 30" Fad theheight of the tower snd the widih of the canal |
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| 37. |
11. ATV tower nds vertically on a bankof a canal from a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60°. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of the Dtower is 30° (see Fig. 9.12). Find the (height of the tower and the width ofthe canal6020mFig. 9.12 |
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| 38. |
Prove that of all the parallelograms of given sides, the parallelogramwhich is a rectangle has the greatest area. |
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| 39. |
(a)50R/l(d) 7o km/hr21. A man completes 30 km of a journey at 6 km/hr and the remaining 40 km in 5 hours. Find hisaverage speed for whole journey.4(a) 6-+ km/h(b).7 km/h(c)km/h(d) 8 km/h |
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Answer» Average speed = Total Distance / Total TimeTotal time = 11 km/hrTotal distance = 70 km Average speed = 70/11 = 6(4/11) km /hr (a) is correct option |
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| 40. |
EXERCISE 2AExpress the following lengths as metres :1. 7 km2. 21 km |
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Answer» since 1km =1000m so 7km =7×1000 m= 7000malso 21 km=21×1000 m= 21000m. We know, 1 km= 1000 metres So,1) 7 km= (7*1000)metres = 7000 metres2) 21 km = (21*1000)metres = 21000 metres. Since 1 Kilometre-1000mSo,7 KM will be 7000m and 21 KM will be 21000 1 kilometre=1000 metre7 kilometre=7000 metre |
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| 41. |
248. Teju travelled 14km by bicycle, 7 km by bus and 113km on foot to reach a place. How muchdistance did she cover in all? |
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| 42. |
4.Write the first five term of the sequence a |
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| 43. |
Sunita traveled 15 km 268 m by bus, 7 km 7 m by car and 500 m on feet in order to reach her school from her residence. |
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| 44. |
There are 5 white, 4 yellow,3 green, 2 blue & 1 red ball. The balls are all identical except for colour.These are to be arranged in a line in 5 places. Find the number of distinct arrangements |
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Answer» Thank you |
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| 45. |
1. Out of 35 students participating in a debate so are girls. What is the probability that2. There are S balls, t each of the colours white, blue, red, green and yellow in a bag Iwinner is a boy?ball is drawn from the bag, then what is the probability of getting a red ball? |
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Answer» 1)The total number of students = 35 The number of girls = 10 The number of boys = 35-10 → 25 ⇒ probability = total number boys/ total number of students ⇒ probability = 25/35 ⇒ 5/7 ∴ 5/7 is the probability of winning of boys. |
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| 46. |
Show that among the rectangles of given perimeter, the square has the greatest area. |
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Answer» Here we have to prove that the square has the greatest area for the same perimeter when a rectangle is considered. So the perimeter P can be taken to be a constant P. Use a variable x for the length. So the width is P/2 - x. The area A = ( P/2 -x) *x. Now to maximize the area, for a variable x, we have to find dA/dx. dA/dx= P/2 - 2x. Equate this to zero P/2 - 2x =0 => x= P/4 So the length is P/4 and the width is P/2 - x = P/4. Therefore for a given perimeter of a rectangle the area is the largest if the shape is that of a square with each side equal to the perimeter divided by 4. OR Letp be the perimeter , x be the length of the rectangle. Then the width of the rectangle is (P-2x)/2. Therefore the area of the rectangle with the perimeter p and the side x and (p-2x)/2 is given by: A(x) = x*(p-2x)/2 = px/2 - x^2. So by calculus, area A(x) is a function of perimeter p and A(x) is maximum, for x = c for which A'(c) = 0 and A"(c)< 0. A'(x) = {px/2 - x^2}' = (px/2)' - (x^2)' . So A'(x) = p/2 -2x. Equating to zero, we get p/2 - 2x = 0. Or 2x= p/2 x = p/4. Again find A''(p/2) : A'(x) = p/2-2x. Differentiate: A"(x) = 0-2 , which is negative for all x and so for x = p/4 also. So A"(p/2) is negative for x= p/2 for which f'(p/2) = 0. So, for a given perimeter p, x = p/4 gives the maximum area. So , if p is the perimeter, the maximum area formed among the set of rectangles is the square with sides of length p/4 . |
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| 47. |
Construct a parallelogram whose adjacent sides are 6.5 cm 8 cm andEutbetween them is 70° |
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Answer» Steps of construction:1. Draw a line AB measuring 6.5 cm.2. Then draw a line through A taking 70° by protector. 3. Then by compass, cut a line measuring 8 cm placing the compass on both the points A and B. Then draw through A first.4. take a measurement of AB 6.5 cm. then through C draw an arc on point D.5. Then join the line BD. |
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| 48. |
II. A TV tower stands vertically on a hunkof a canal From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60" From another point 20 maway from this point on the line jongthis point to the foot of the lower theangle of elevation of the top of thetower is 30see Fig. 9. 121. Find theheight of the tower and the width ofthe canal19F120mFig. 9.12 |
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Answer» BC=10m is the right answer |
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| 49. |
38. Show that volume of greatest cylinder which can be inscribed in a cone of height h and semi-vertical angle 3081 |
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| 50. |
hstruct a parallelogram whose adjacent sides are 6.5 cm 8 cm andăetween them is 70°.ampl |
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Answer» Steps of construction:1. Draw a line AB measuring 6.5 cm.2. Then draw a line through A taking 70° by protector. 3. Then by compass, cut a line measuring 8 cm placing the compass on both the points A and B. Then draw through A first.4. take a measurement of AB 6.5 cm. then through C draw an arc on point D.5. Then join the line BD. |
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