Saved Bookmarks
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. |
die is thrown twice. What is the probability thati) 5 will not come up either time ? |
|
Answer» Total event =6×6 =36 Events of getting 5 are = (5,1),( 5,2),( 5,3),( 5,4),( 5,5),( 5,6),(1,5),(2,5),(3,5), (4,5),( 6,5)probability of getting getting 5 =11/36Probability of not getting 5 =1-(11/36) =25/36 probability of getting. 5 exactly one time is =10/36 |
|
| 2. |
A dice is thrown twice. What is the probability that (0)5 will not come up either time?(0)swill come up at least once? [Hint : Throwing a die twice and throwing two dicesimultaneously are treated as the same experiment. |
| Answer» | |
| 3. |
निम्नलिखित समीकरणों को हल कीजिए(i) -435(x-2)(iv) 3 (x-3) = 5 (2x + 1) |
|
Answer» -4=5x-105x=6X=6/5 is the right answer |
|
| 4. |
Q5. A die is thrown twice. What is the probability that the same numberwill come up either time. |
| Answer» | |
| 5. |
6 p ^ { 3 } + 5 p ^ { 2 } + 4 b y ( 2 p + 1 ) |
| Answer» | |
| 6. |
amount he Has tu pu)4/Find the compound interest on6400 for 2 years at 5 % per annum2Tf tho nato of |
|
Answer» A = 6400(1 + 0.05)(1+0.05) = 6400(1.05)(1.05) = 7056 I = A - P = 7056 - 6400 = 656 If you find this answer helpful then like it. wrong answer |
|
| 7. |
\left. \begin{array} { l } { \text { If } a = 1 + \sqrt { 7 } , \text { find the value of } \frac { - 6 } { 9 } } \\ { \text { If } p = 5 - 2 \sqrt { 6 } , \text { Find } p ^ { 2 } + \frac { 1 } { p ^ { 2 } } } \end{array} \right. |
|
Answer» question 47 is misprinted |
|
| 8. |
29.A cubical die numbered from 1 to 6 is rolled twice. Find the probability ofgetting the sum of numbers on its faces is 10. |
|
Answer» When die is rolled twice then total number of outcomes= 6*6 = 36 Possible outcomes to get sum of 10 are (4,6), (6,4), (5,5) Therefore, probability of getting sum of 10= 3/36= 1/12 |
|
| 9. |
17. Show that the ponl18. Find the value of k for which the points A(-2, 3), BL, 2and C(k, 0 atecollinear.s she auadrilateral whose vertices are A(-4,5), RO |
|
Answer» good question👍👍 sums of collinear chapter collinear points are passing from the same lineso let's find out line from first two points(y-3)/(2-3)=(x+2)/(1+2)3(y-3)=-1(x+2)3y-9=-x-2x+3y=7now lets put that point in this quationk+0=7 so k=7 |
|
| 10. |
d) The marked price of an article is 20% more than the cost price and a discount of 20%given on the marked price. In this transaction there is(0) no gain and no loss (ii) 4% gain(i) 4% loss (iv): 3% gain |
| Answer» | |
| 11. |
Q4 A die is thrown. What is the probability of getting a multiple of 3 on the upper face? |
|
Answer» Multiples of 3 = 3,6. Probability of getting a multiple of 3 = 2/6= 1/3 Please hit the like button the probability of getting a multiple of 3 is 2 |
|
| 12. |
is rolled, what is the probability that number appearirIf a dieon upper face is less than 2 ?(C) 1D 6 |
|
Answer» no. less than 2 is 1total outcomes =6probability=1/6 |
|
| 13. |
7. A die is thrown once. Find theprobability that number turns upon the upper face is greater than2 and less than 5 |
|
Answer» Probability is 2/6=1/3 |
|
| 14. |
If a die is rolled, what is the probability that number appearingon upper face is less than 2?(iv)(B) 2(C) 16P.T.O |
|
Answer» Less than 2 is 1hence the probability is 1/6 |
|
| 15. |
The volume of the cone is 6280 cm3 and its base radius is 20 cmFind its perpendicular height |
| Answer» | |
| 16. |
The faces of a die bear numbers 0, 1,2, 3,4, 5. If the die is rolled twicethen find the probability that the product of digits on upper face is zero.3) |
|
Answer» 0*0 0*1 0*2 0*3 0*4 0*51*0 1*1 ....2*0..3*0..4*0..5*0.. so we can make out that events would be 6*6=36and no of times 0 will be the product is 6+5=11( six times when 0 is multiplied by another noand rest 5 times when another no is multiplied by 0)so, probability is 11/36. |
|
| 17. |
If the mode of the data 5,8,4,5,5,8,4,7,8,xis S, then find the value ofA die is thrown What is the probability ofinte at 3 on upper face |
|
Answer» x=5, as 5 is the mode(the frequently occurring one) |
|
| 18. |
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3Find its volume. The heap is to be covered by canvas to protect it from rain. Findarea of the canvas required. |
| Answer» | |
| 19. |
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m.its volume. The heap is to be covered by canvas to protect it from rain. Find thearea of the canvas required |
|
Answer» Radius of the conical heap of wheat (r) = 10.5/2 m Height of the conical heap of wheat (h) = 3 m Volume of the conical heap of wheat = 1/3πr2h = 1/3 x 22/7 x (10.5/2)2x 3 = 173.25/2 = 86.625 m3 Slant height of the cone l = root under(√r2+ h2) = root under(√(10.5/2)2+ 32) =root under(√(5.25)2+ 32) =root under(√27.5625 + 9) =root uner(√36.5625) I = 6.05 m Area of canvas required = curved surface area of cone πrl= 22/7 x 10.5/2 x 6.05 = 99.825 m |
|
| 20. |
it ot a gain0atePhola he Rheir the remaindereln |
| Answer» | |
| 21. |
How many 6-digit numbers are there in all? |
| Answer» | |
| 22. |
sction formule |
|
Answer» section formulaThesection formulatells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m:n . ... Thesection formulais helpful in coordinate geometry; for instance, it can be used to find out the centroid, incenter and excenters of a triangle. I need explaination |
|
| 23. |
7. How many 6-digit numbers are there in all?! |
| Answer» | |
| 24. |
TT喻肩町cm/sec啸双貢する21.(i)1 ст46큐喻マてき:(A) 2Tt cm3/sec (B) 3Tt cm3/secπ cm3 /sec2The radius of an air bubble is increasing atthe rate of cm per second. The volume ofthe bubble increasing at the rate whenradius 1 cm, is(A) 2π cm3/sec (B) 3.cm3/sec2(C)-Tcm3/sec(D) ofthese |
| Answer» | |
| 25. |
43. When 231 is divided by 5 theremainder is(1) 4(2) 3(3) 2(4) 1 |
|
Answer» option(2) 3 is correct 3rd option is correct option 23 is the correct answer 3 is the correct answer to this question . the reminder is 3.... 3 option 2nd answer is right ans 3 is the right answer 3 is the correct answer was a option 2 is the right answer write the answer of (3) the correct answer is option is (2)3 Option (2)is the right answer |
|
| 26. |
*8. How many 6-digit numbers are there inall? |
|
Answer» 9 lakh is the correct answer........... 9 lakh iS the right answer...... 9 lakh is the right answer of your question |
|
| 27. |
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3ndits volume. The heap is to be covered by canvas to protect it from rain Findarea of the canvas required |
| Answer» | |
| 28. |
9.A heap of wheat is in the form of a cone whose diameter is10.5 m and height is 3 mFind its volume. The heap is to be covered by canvas to protect it from rain. Find thearea of the canvas required |
| Answer» | |
| 29. |
9. In a single throw of three dice, find the probability of getting(i) the same number on all the three dice(i) not getting the same number on all the dice.се |
| Answer» | |
| 30. |
9, A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 tm.Find its volume. The heap is to be covered by canvas to protect it from rain. Find thearea of the canvas required. |
| Answer» | |
| 31. |
o A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m.Find its volume. The heap is to be covered by canvas to pratect it from rain. Find thearea of the canvas required. |
| Answer» | |
| 32. |
1 In a single throw of a pair of different dice, what is the probability of getting(i) A prime number on each dice(ii) A total of 9 or 11.dy if the tot |
|
Answer» When we throw two die we have 6² i.e 36possiblity. So n(S) = 36i)Let the event A be having prime on each diceSo chances are {(2,2), (2,3), (2,5), (3,2), (3,3), (3,5), (5,2), (5,3), (5,5)}Hence n(A) = 9Thus P(A) = 9/36= 1/4ii) Let B be the event having the sum of 9 or 11So chances will be like {(3,6), (6.3), (4.5), (5,4), (5,6), (6,5)}So n(B) = 6Thus P(B) = 6/36 =1/6 |
|
| 33. |
ㄨㄧㄧㄧㄨχ-30 andy acute ang |
| Answer» | |
| 34. |
logarithm |
|
Answer» In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. |
|
| 35. |
writeformule oflogarithm. |
|
Answer» The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. It is called the logarithmic function with base a. Consider what the inverse of the exponential function means: x = ay. |
|
| 36. |
D is a point on the base BC of an isosceltriangle ABC in which AB = AC. The trianADE is drawn such that AD - AE. D、LDA= LAC and D, E are on opposite sides ofArProve that(ii) triangles BAD and CAE are congruent(iii) AC bisects BCE.(SC |
|
Answer» In triangle BAD and CAE AD=AE [given]AB=AC [given] We know that angle DAE=BACso the angle A of triangle ADC is common in both the angles. When we remove it we are left with angle BAD=CAE. Therefore the two triangles BAD and CAE are congruent by SAS TEST. Since AD = AE, AC will eventually bisect angle BCE |
|
| 37. |
How manch 6 digit numbers are there in all ?Ang laron |
| Answer» | |
| 38. |
Allted ang lespind the vatuShi20. cos 336 Stn2uo. cos3400004 |
|
Answer» sin120=sin(180-60)=sin60=√3/2cos330=cos(360-30)=cos30=√3/2sin240=sin(180+60)=-sin60=-√3/2cos(390)=cos(360+30)=cos30=√3/2henceanswer√3/2.√3/2-(-√3/2)(√3/2)3/4+3/4=6/4=3/2 |
|
| 39. |
. Find the logarithm of 32 when base is2 |
| Answer» | |
| 40. |
write 4 log 4+2 log 5-log as a single logarithm |
|
Answer» 4log4+2log5=log 256 + log 25=log 6400 |
|
| 41. |
Find the base about which logarithmof 64 is 4. |
| Answer» | |
| 42. |
area of4. A chord ofa circle of radius 10 cm subtends a right ang le at the centre. Find the athe corresponding: (i) minor segment(ii) major sector (Use π-3.14) |
| Answer» | |
| 43. |
omen bat at |
| Answer» | |
| 44. |
mensuration |
|
Answer» Menstruation is the part of geometry concerned with ascertaining lengths, areas, and volumes. how to understand the questions |
|
| 45. |
Write $4 . \log 4+2 \log 5-\log 15$ as a single logarithm. |
| Answer» | |
| 46. |
greater h21. WVhich must be the habitat of plants having characteristics as given below?Root-long tap root, Stem-muscular green colour, Leaf-small/fleshy/in theform of thorns.④ Water,⑧AirO Desert Marshyland |
|
Answer» option C is the correct answer . desert plant have very long roots... and fleshy leaves. the answer is c)desert Option (C) is the right answer . option C is the correct one desert |
|
| 47. |
(3) Mensuration |
|
Answer» Mensuration may refer to: Measurement. Theory of measurement. Mensuration (mathematics), a branch of mathematics that deals with measurement of various parameters of geometric figures and many more. Forest mensuration, a branch of forestry that deals with measurements of forest stand. |
|
| 48. |
6: In ÎABC, AB 12cm BC-5 com and AC-x,then find the condition for Ď( at |
|
Answer» According to Pythagoras theorem we solved it Condition condition may be that if it is a hypotanius of the triangle |
|
| 49. |
A chord of a circle of radius 10 cm subtends a right ang le at the centre. Find the area ofthe corresponding: (i) minor segment (ii) major sector. (Use 7T 3.14)4.5.nacle ofdiun |
| Answer» | |
| 50. |
PAGE NODATE:ang de-lace |
|
Answer» The Angle subtended by an Arc at the center is double of that subtended at the major arc √√ => If Angle AOB = 70°=> Angle ACB = 1/2 * 70° = 35° √√ Hence, angle ACB = 35° |
|