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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. |
nd(c) 100d) 20OngA beggar have some coins of 10 paise, 20 paiseand 01 Rs in the end of the day in the ratio of10 17:7 of 10 paise, 20 paise and 01 Rs. Ifhe had Rs. 57 in the end of the day Then whatis the number of coin of 20 paise?(a) 55(c) 80421 35(b) 60(d) 85s 1s |
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Answer» Let no. of 10 paise coins are 10xNo. of 20 paise coins are 17xNo. of 1 Rs coins are 7x As per given condition.1*10x +.2*17x + 1*7x = 57x + 3.4x + 7x = 5711.4 x = 57x = 570/114 = 10/2x = 5 Number of 20 paise coins = 17*5 = 85 |
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| 2. |
The value of 'x' in the ordered pair (x, -8)if the ordinate of the pair is 4 more thanthe abscissa is |
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Answer» ordinate = abscissa + 4 y = x + 4 -8 = x + 4 x = -12 |
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| 3. |
if x < 0 satisfies the assumptions of Rolle's Theoreif x1+1,Iff(x) =1(1-x)(px + q),in the interval [-1,1], then the ordered pair (p, q) is5.0 |
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Answer» thank you |
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| 4. |
Let X={1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y belongs to X, Z belongs to X and Y intersection Z is empty, is |
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| 5. |
What is the center of the circle with the equation (x+1)2 +(y-3)= 9?Write your answer as an ordered pair. No extra spaces. |
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Answer» (x+1)^2+(y-3)^2=0so X+1=0 , x= -1y-3=0 , y= 3center= (-1,3) ( x+1)^2 + ( y-3)^2= =x+1:; x=-1; y-3=0; y=+3 |
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| 6. |
Write the coefficients of s in each of the following1) 2+x^2 +x. 2) 2-x^2+x^3 3) π/2x^2+x |
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Answer» cofffcient of x² arei) 1ii) -1iii) pi/2 |
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| 7. |
Write the following sets in roster form:(i)3.A = {x : x is an integer and-3 <7) |
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Answer» thank you |
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| 8. |
lettSimplify and write its opposite (-3) x 5 x (-1). |
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Answer» (-3)×5×(-1)=(-15)×(-1)=15answer = 15opposite number = (-15) opposite number=-15answer. answer =15opposite answer is -15is the best answer. 15 i s correct answer........😐😐😐😐 ( -3)× 5×(-1)(-15)×(-1)15opposite =-15 |
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| 9. |
1/x-1/x-2=3Write zeros of this equation |
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| 10. |
diagonals of a quadrilateral ABCD intersect each other at the point O such thatTheAO COBO DO, Show that ABCD is a trapezium. |
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| 11. |
The diagonals of a quadrilateral ABCD intersect each other at the point O suchAO =22. Show that ABCD is a trapezium.BO DO,A2 |
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| 12. |
AO CC8) The diagonals of a quadrilateral ABCD intersect each other at the point O such that BO DO.Showthat ABCD is a trapezium. |
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| 13. |
Ad The diagonals of a quadrilateral ABCD intersect each other at the point O such that!AOBO DOShow that ABCD is a trapezium. |
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Answer» Given: Quadrilateral ABCD in which diagonals AC and BD intersects each other at O such that AO/BO = CO/DO. To Prove: ABCD is a trapezium Construction: Through O, draw line EO, where EO || AB, which meets AD at E. Proof: In ΔDAB, we have EO || AB ∴ DE/EA = DO/OB ...(i)[By using Basic Proportionality Theorem] Also, AO/BO = CO/DO (Given) ⇒ AO/CO = BO/DO ⇒ CO/AO = BO/DO ⇒ DO/OB = CO/AO ...(ii) From equation(i)and(ii), we get DE/EA = CO/AO Therefore, By using converse of Basic Proportionality Theorem, EO || DC also EO || AB ⇒ AB || DC. Hence, quadrilateral ABCD is a trapezium with AB || CD. |
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| 14. |
The diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO COBO DOShow that ABCD is a trapezium. |
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| 15. |
286 is a relation an On then write3 Retry): x+2y = gf rethe range of R. |
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| 16. |
10. The diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO COBO=DOshow that ABCD is a trapezium. |
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| 17. |
\frac{n}{2}-\frac{3 n}{4}+\frac{5 n}{6}=21 |
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| 18. |
3. The length, breadth and height of a room are 6 m, 5.4 m and 4 m respectively. Find the area of (i) its four-walls (ii) its roof |
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| 19. |
x 20 m measurement is filled into a cy1fthe water fills the cylinder completely then find out howThe water from the root of 22m x. Prove that: |
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Answer» Volume of roof= l x b x h= 22X20 X h height of roof= height of rainfall volume of cylinder= 22/ 7 x 1x1 x35/10 andvolume of water on roof = volume ofWater in cylindrical tank 22 X 20 X h = 22/7 1 x 1x35/1022 X 20 X h = 11h = 11/440h = 1/40 mh = 0.025 m= 2.5 cm so the rainfall = 2.5 cm hit like if you find it useful |
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| 20. |
\frac{n}{4}-5=\frac{n}{6}+\frac{1}{2} |
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| 21. |
how many rotations would a cycle wheel of diameter 1.6m make to cover. A distance of 352m? |
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Answer» Given that :the diameter of wheel of cycle = 1.6m we have to find:how many revolution the wheel of cycle make covering a distance of 352 m solution:-the Radius of wheel = 1.6/2 = 0.8 m and the circumference of wheel = 2πr = 2π×0.8 => 1.6 × 22/7 = 5.02857143 m now, the number of revolution by wheel covering a distance 352 m = 352/ 5.02857143= 70 rounds Answer |
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| 22. |
The radius of the wheel of a bus is0.7 m. How many rotations will awheel complete while travelling adistance of 22 km? |
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Answer» In 1 revolution = 2πr= circumference of Circle2*0.7*22/72*7*22/7044/10= 4.4m22 km = 22000 meternumber of revolution= 22000/4.4= 5000 revolutionplease like the solution 👍 ✔️ |
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| 23. |
(1) Expand (5)R = 45.5 con-286 va u(2) The diameter of the wheel of a bus is 91 cm. How many kilometres will it travel in500 rotations of the wheel?In many days will 12 labourers take to build the same |
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| 24. |
A road roller makes 200 rotations in covering 2200 m.Find the radius of the roller |
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Answer» In one rotation distance travelled by roller is 2πR So, in 200 rotation roller covers 200 × 2πR = 22004πR = 22R = (22×7)/22×4R = 7/4 meter |
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| 25. |
a school sembly, a placardwasshownasintheigureinwhich,ABCisaquadramBC is a quadrantcircle and a semi-circle is drawn with BC as diameter. Each section of the placard has depicted vinglike (0) hard work (i) honesty and (ii) punctuality written on it. How much area on this has been giveto honesty ? What area has been allotted to hard work?A70 cmB |
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| 26. |
The length, breadth and height of a room are6 m, 5-4 m and 4 m respectively. Find the areaof: (0 its four-walls (i) its roof3. |
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| 27. |
The length, breadth and height of a room are6 m, 5-4 m and 4 m respectively. Find the areaof : () its four-walls (l) its roof |
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| 28. |
In the figure, AOB is a straight line. determine x. |
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Answer» Here AB is straight lineso angles is 180so x+x-3+2x-5=1804x=188so x=47 |
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| 29. |
X के किस मान के लिए AOB एक सरल रेखा होगी | |
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Answer» Thenks sir jeeeeeeeeeeee |
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| 30. |
If OQ makes 4 revolutions in Is, then the angular velocity in radians per second isA)πQ2.Β) 2πC) 4πD) 8π |
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| 31. |
CBSE 2014]The rain water from a 22 mx 20 m roof drains into a cylindrical vessel ofdiameter 2 m and height 3.5 m. If the rain water collected from the rooffills 2th of the cylindrical vessel then find the rainfall in centimetre.22.ICRSE 2015 |
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| 32. |
22. The rain water from a 22 m x 20 m roof drains into a cylindrical vesselof diameter 2 m and height 3.5 m. If the rain water collected from theroof fills ith of the cylindrical vessel then find the rainfall in centimetre.[CBSE 2015, '17 |
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| 33. |
the rainaf iT CII22. The rain water from a 22 mx 20 m roof drains into a cylindrical vessel ofdiameter 2 m and height 3.5 m. If the rain water collected from the rooffills 2th of the cylindrical vessel then find the rainfall in centimetre.[CBSE 2015 |
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| 34. |
el22. The rain water from a 22 m x 20 m roof drains into a cylindrical vessof diameter 2 m and height 3.5 m. If the rain water collected from theroof fills 5 th of the cylindrical vessel then find the rainfall in centimetre.CBSE 2015, 17 |
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| 35. |
By what number should 4 be divided to obtain -3? |
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Answer» 119/8 is the answer for your question |
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| 36. |
Explain is the statement sometimes, always, or never true1If a > b, then15R |
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Answer» it can never true because a is greater than b then their reciprocal will be inverse of that sta |
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| 37. |
8. In the adjoining figure, if ZA = ZC. Prove that A AOB -- ACOD.N |
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| 38. |
plane Y. (I-] + R) = aHOTSÄ° Delhi 2014, All india 2014-201119. Show that the lines 0-3 =-4andare coplanar.7Delhi 2014 |
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| 39. |
Prove that the parallelogram circumscribing a circleis a rhombus.[Delhi 2014] (4) |
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| 40. |
11, A football team wins 7 games, which is 35% of the total games played. How many gameswere played in all? |
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Answer» Let no. Of games be xThen 35%of x=735x/100=7X=7×100\35X=100\5X=20Therefore, 20 games were played in total. |
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| 41. |
y subllacting +times a number when increased by ten gives 58. Find the number.C 1thoir difforance is 8. find the numbe |
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Answer» Let the number be x. 10x+10 =58 10x =48x=4.8 |
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| 42. |
. By subtracting 45 from 2 times aumul4 times a number when increased by ten gives 58. Find the numbe0 and their difference is 8, find the num |
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Answer» let the number be x 4x + 10 = 58 4x = 58 - 10 4x = 48 x = 12 The number is 12 |
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| 43. |
3. In Figure 8, AO BO and ZA ZB.Prove that ΔΑ0CΔΒ0D.Is ZACO ZBDO? Give reasons.Fig. 8 |
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| 44. |
By subtracting 45 from 2 times a number we obtain 3 times the number. Find the number. |
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Answer» Do like the answer if you find it helpful. |
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| 45. |
In a quadrilateral ABCD, AO and BO are.the.bisectors ofZA andh4B respectivels Prove that,1a |
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Answer» We know angle A+angle B +angle C+ angle D=360 (1)In triangle ABO angle AOB+ 1/2(angle A+angle B)=180 2(AOB+ 1/2(angle A+angle B)=360 (2)We have angle 2 AOB + angle A+ angle B = angle A + angle B +angle C+ angle D This gives angle AOB= (angle C + angle D)/2 |
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| 46. |
6.2e-n-5 iftwoof itszeroes are/5 andleObtain all other zeroes of 3x4+ |
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| 47. |
8. ABCD is a trapezium in which ABIDC and its diagonals intersect each other at point 'OAO COBO DOShow that |
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Answer» That's it? Yes |
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| 48. |
ABCD is a trapezium in which AB | DC and its diagonals intersect each other atAO COBO DOpoint O. Show that: |
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| 49. |
9. ABCD is a trapezium in which AB DC and itsdiagonals intersect each other at the point O. ShowAO COBO DO |
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| 50. |
What İsthe valueofen67-sīr2mHC |
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Answer» Cos² 67 - sin² 23 = cos² (90 - 23) - sin² 23 = sin² 23 - sin² 23 =0 Like my answer if you find it useful! |
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