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. |
Evaluate 105 x 106 without multiplying directly. |
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Answer» 105×106=11130 is the answer 11130 is the answer of this question |
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| 2. |
.1 to 3, choose the correct option and give justification.1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromthe centre is 25 cm. The radius of the circle is |
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Answer» Let O be the centre of the circle. Given that, OQ = 25cm and PQ = 24 cm As the radius is perpendicular to the tangent at the point of contact, Therefore, OP ⊥ PQ Applying Pythagoras theorem in ΔOPQ, we obtain OP^2 + PQ^2 = OQ^2 OP^2 + 24^2 = 25^2 OP^2 = 625 − 576 OP^2 = 49 OP = 7 Therefore, the radius of the circle is 7 cm. |
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| 3. |
2. The ph term ofan A.P is 9 and the 9" term is p. So the common difference ofA.Pis |
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| 4. |
EXERCISE 10.2ose the correct option and give justification.oint Q, the length of the tangent to a circle is 24 cm and the distance of Q frormis 25 cm. The radius of the circle is(B) 12 cm(D) 24.5 cm |
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| 5. |
b) 61. (a) 62. (a) 63. (ba) 9. (d) 10. (b) 11. (cb) 23. (d) 24. (d) 25. (a |
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Answer» Please specify the question |
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| 6. |
\operatorname { log } _ { 10 } a = r , \text { the value of } a ^ { \frac { 2 } { r } } i s - a ) 10 , b ) 100 , b ) 1 , d ) \sqrt { 10 } |
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| 7. |
How many poles can be erected over a length of 50 m, if the distance between twoconsecutive poles is 2 m? |
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Answer» To find the number of poles=50/2=25 poles |
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| 8. |
The adjacent sides of a parallelogram are 15 cm and 8 cm . if the distance between the longer sides is 4 cm , find the distance between the Shorter sides |
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Answer» thanks for helping me thanks for helping me |
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| 9. |
B.Mohan estudied far 4 hours, 5 hourd and 3 hourdrespectively on three consecutive days. How manyhours does he study daily on an average ?... I blames. |
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| 10. |
The sum of 3 consecutive terms of an A.P. is 48. The productof its first and the last term is 252¡ d= |
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Answer» Let three consecutive terms of an AP be ( A - D ) , A and ( A + D ). According to the question Sum of three consecutive terms = 48 A - D + A + A + D = 48 3A = 48 A = (48/3) = 16. First term ( A ) = 16. Again, Product of first term and last term = 252 ( A - D ) × ( A + D ) = 252 ( A)² - ( D)² = 252 (16)² - ( D )² = 252 (D)² = 256 - 252 D² = 4 D = ✓4 = 2 Hence, Common difference ( D ) = 2. Like my answer if you find it useful! |
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| 11. |
ek cube ki pratek bhuja 16 cm lambi hai . cube ka valum , |
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Answer» bhai maine check kiya tha ki ye aap sahi hai ki nhi |
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| 12. |
lengths of the sides containing the rightthe circle,17. DrawandaABC having sides 8 cm,A circle is inscribed in10 cm and 12 cm as shown in figure,Find AD BE and CF1. |
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Answer» Here given,x+y = 8 cm ....(1) y+z = 12 cm .....(2)x+z = 10 cm .....(3) KUMAR Adding (1), (2) and (3), we get 2(x+y+z) = 30x+y+z = 30/2x+y+z = 15 .....(4)(4) - (2), we getx+12 = 15x = 15 - 12x =3(4) - (3), we get10+y = 15y = 15 - 10y = 5(4) - (1), we get 8+z = 15z = 15 - 8z = 7So,AD = 3 cmBE = 5 cmCF = 7 cm Answer. x+y=8, y+z=12, x+z=10, adding (x+y-8+y+z-12+x+z-10)=(2x+ 2y+ 2z=-30); 2(x+y+z)=30; x+y+z=30/2=15;; we get x+12=15; x=3; y=15-10=5; z=15-8=7 |
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| 13. |
Evaluate the following products without multiplying dire(103x 1072.(ii) 95x96 |
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| 14. |
.9) Find three numbers in-AP whose sum is 15 and theirproduct is 105 |
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| 15. |
A buthe duration of the journeys leaves Delhi at 7:50 p.m. and reaches Lucknow at 5:30 a.m. the next day. Find |
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Answer» See it will be 5:30 + 4:10 = 9:40 mins. |
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| 16. |
The first term ofan A.P. of consecutive integer is p'+1. The sum of(2p+ 1) terms of this seriesexpressed ascan be |
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Answer» first term,a=p^2 +1and n=2p+1d=2 (given is the series of consecutive integers)and S=(n/2)(2a+(n-1)d)S=((2p+1)/2)(2 (p^2 +1)+((2p+1)-1)×2)S=((2p+1)/2)(2p^2 +2 +4p)S=((2p+1)/2)(2(p^2 +2p+1))S=(2p+1)(p^2 +2p +1)S=(2p+1)(p+1)^2 |
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| 17. |
The sum of four consecutive terms which are in an arithmetic progression is 32 and the ratio of the produce of the first and the last term to the product of two middle term is 7:15 find the number |
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| 18. |
The first term of an A.P. of a consecutive integer is p^2 + 1. The sum of (2p + 1) terms of this series can beexpressed as |
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Answer» wrong answer how u select Nth term |
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| 19. |
If the value of A-12, 3, 4, 8, 10), B- (3, 4, 5, 10, 12) (AUB) is given. |
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Answer» hit like if you find it useful |
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| 20. |
al Instructions:All questions are compulseQuestion paper consists ofUse of calculator is not peChoose the Correct option:-25-6=?a. --8-()bi.3 |
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Answer» - 2 1/9 - 6= - 19/9 - 6= (-19 - 54)/9= (-73/9)= - 8 1/9 (a) is correct option a is correct because if u do the math the right way then u see what i mean a is correct because if u do the math the right way then u see what i mean |
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| 21. |
(i) The first term of a G.P. is 160 and the common ratio is . How many consecutive tould be taken to give a sum of 2110?2 |
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Answer» S = ar + ar^2 + ar^3 + ... + ar^nSr = ar^2 + ar^3 + ar^4 + ... + ar^(n + 1)Sr - S = ar^(n + 1) - arS * (r - 1) = ar * (r^n - 1)S = ar * (1 - r^n) / (1 - r) S is the sumar is the initial termr is the common ration is the number of terms S = 2110ar = 160r = 2/3n = ? Let's see if this will even ever sum to 2110 S = 160 * (1 - (2/3)^inf) / (1 - 2/3)S = 160 * 3 * (1 - 0)S = 480 This will never sum to 2110. Are you sure you copied this correctly |
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| 22. |
8. Four circles of radius 1 cm are placed in such a way onplane paper that each touches the other two. Find the areaof the space left in between the four circles. (Use pi= 3.14) |
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| 23. |
10.The figure obtained by joining the mid-points of the adjacent sidesof a rectangle of sides 8 cm and 6 cm is |
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| 24. |
paintingtheblackBaludtuielalelPfind the cost ofIn the given figure, all the adjacent sides are at right angles. Find:10 cm(i) the perimeter of the figure(ii) the area of the figure.6.4 cm |
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| 25. |
6. Find three numbers in AP whose sum is 15 and product is 8hHINTLet the numbers be (a -d), a, (a + d) |
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| 26. |
1) 1/52) 712If pha"r" terms of a G.P are a,b,c thenΣ(q-r)loga-3) par4) abc2) 1hers a h then |
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Answer» Question you have submitted is incomplete. Please post a complete question it's a complete question |
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| 27. |
विषय - गणित1 S T) . ax 9—l +a x बदल 36; तर धर > किती ?D5 2) 81 3) T', खालीलपैकी किती जोडमूठ संख्यांच्या जोड्या नाहीत71-73, 59-61, 17-21, 91-93, 293 11)5 2) 4 3)3) सेमी पाया व 18 सेमी उंची असलेले चार काटकोयार केला; तर त्या आयताचे क्षेत्रफस्ठ किती ?2) 432 चौसेमी 3) (B AN SR 98 |
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Answer» a/9 +a/3 =36 a+3a/9=364a/9 =36 4a =324 a=324/4 81answer |
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| 28. |
s ABCD s par0em Find the length of each side of hIn each of the figures given below ABCD is a rhombusofx and y in each caseFind thevalue104(iii) |
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| 29. |
82 \% ^ { \circ } = ( \sqrt { 3 } + \sqrt { 2 } ) ( \sqrt { 2 } + 1 ) \text { or } \operatorname { cot } 71 / 2 ^ { \circ } = \sqrt { 2 } + \sqrt { 3 } + \sqrt { 4 } |
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| 30. |
20. A rectangle has adjacent sides 6 cm and 4 cm. Find thedifference between the area of rectangle and that of asquare having perimeter equal to the perimeter of therectangle.(A) 2 cm(C) 4 cm2(B) 3 cm2(D) 1 cm |
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| 31. |
r le-H-3ityesone liaf nalk.cost2uS-And hhe.ä¸l |
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| 32. |
| उदाहरण 4. अक्कल समीकरण (x + y (dx-dy) = de a dy का हल क्या है?9. (y ) | log (re y) C b. (y-.)- log (x ty)-Cc. (y-x) | loin (x + y)-C d. इनमें से कोई नहीं |
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| 33. |
leto4 hound?(1) Pujar Nordice as many runs as Gambhir. Together their nadouble century. How many runs did each one score? |
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| 34. |
show that exactly one of the numbers n,n+2 or n+4 is devidin le by 3 |
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Answer» We applied Euclid Division algorithm on n and 3.a = bq +r on putting a = n and b = 3n = 3q +r , 0<r<3i.e n = 3q -------- (1),n = 3q +1 --------- (2), n = 3q +2 -----------(3)n = 3q is divisible by 3or n +2 = 3q +1+2 = 3q +3 also divisible by 3or n +4 = 3q + 2 +4 = 3q + 6 is also divisible by 3Hence n, n+2 , n+4 are divisible by 3. |
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| 35. |
Find the HCF of given numbers:k,2k,3k,4k and 5k ; where kis any positive integer. |
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Answer» The highest common factor of k,2k,3k,4k,5 k is k |
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| 36. |
the sum of three numbers in A.P is 3 and their product is -35.find the numbers. |
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| 37. |
712 18A= [3 |
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| 38. |
lehuipiesTwo angles of a right-angled triangle are in the ratio 1 : 5. Find each angle of the triangle1960 le divided into two parts The first nart İs fou |
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| 39. |
12. The sum of Liret e 20 and 30 termeto an AP are s s s respectivelyProve that 8=365-5)32 |
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| 40. |
(d) 5(b)25. A rectangle block 6 cm * 12 cm * 5 cm is cut into exact number of equal cubes. The least possible numberof cubes will be(a1Ch 4 |
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Answer» Volume of rectangle block = l x b x h= 6cm x 12cm x 5cm= 3 x 2 x 3 x 2 x 2 x 5= 2³ x 3² x 5.At least one cube can be formed of side 2cm. Ans : a) 1 A trade man lose a discount of 25% on the MP how much above the CP must he mark his articles to make a profit of 17% option 1 is correct answer option a) 1 is the correct answer option a is correct answer option a is the correct option a 1 is correct answer 1 is the answer of your question 1 is the write answer (a) 1Volume of rectangle blockL×B×H6cm×12cm×5cm3×2×3×2×2×52^3×3^2×5One cube can be formed option a is the correct answer 1 pahla wala options sahi hai eska answer 1 hoga option a is correct and best answer Option a is right answer for this question. option 1 is the correct answer option 1 is the correct answer A (1) is. correct answer option a )1is the right answer volume of block= l×b×h=6×12×5=3×2×3×2×2×5=2cube×3sqaure×5 possible cube of side 2cm answer=a)1 option no. 1 is correct vbsi73+827+sii+882shs+#-88ndn(£(! £8929999 the answer is night be 1 volume of rect angle block=l×b×h6cm× 12cm ×5cm3×2×3×2×2×5 ans:a)1 =l×b×h=6cm×12cm×5cm=3×2×3×2×2×5 ans=a)1 option 1 is correct answer option 1is the right answer volume of the rectangle block is 1. (a) 1 is correct answer option no. 1 is correct answer correct answer is (a) 1 optison. 1 is correct = l × b × h= 6cm × 12cm × 5cm= 3 × 2 × 3 × 2 × 2 × 5= 1 vol. of rectangular block = l*b*h = 6*12*5=3*2*3*2*2*5=2^3 *3^2 *5at least one cube can formed of side 2 cmso, option a is the right answer option a is the correct answr options (A) is right the least possible no is 1 options a) us correct 1 is the correct one 12cm me know if you have any questions about the volume of rectangle=l×b× h= 6cm× 12cm×5cm=3×2×3×2×2×5 ans= option 1 is right answer of the a=1 super questions.. options (a)1 is right answer a) 1 is correct answer option A is correct answer at least one (1) cube option a is correct answer volume of rectangle block=6cm × 12cm × 5cm=3 × 2 × 3 × 2 × 2 × 52³ × 3²× 5at least one cube can be formed of side 2cm ans A a rectangle 6 2 5 cm so it is 1 at least one cube can be formed of side 2cmAnd):a)1 the correct answer is one (1) option A is the correct answer volume of rectangle block is 6cm x 12cm x 5cm3x2x3x2x2x52^3x3^2x5at least one cube can formed of side 2cmso answer is option 1 a.(1) is the right answer because option 1 is the best answer the answer is option (a) option a(1) is correct answer (a)1 is the least possible number of cubes options 1 is right answer option is the correct correct answer olny 1 Option A is Correct Answer. 1 block is the correct answer volume of rectangle block is =lxbxh ATQ there sides are =6cm x 12cm x 5cmconvert them into fraction 6cm =2x312cm=2x2x35cm=1x5=in cube we have take pair of three numbers =write them into a line 2x2x2x3x3x5we have only one pair of three numbers that is 2so we can sa that only 1 cube can make from that rectangle that is a perfact cube option 1is the correct answer for the question 1 is the correct answer. At least one cube can be formed options a right answer this question answer is (a) 1 volume of rectangle block. =l×b×h. =6cm×12cm×5cm. 3×2×3×2×2×5. =2cube×3square×5. At least one cube can be formed of side 2cm. Ans:a)1 option a is correct answer ans will be 1 The least possible number 1 1. =. Is the Right options Volume of rectangle = l×b×h= (6×12×5)cm= 3×2×3×2×2×5= (3)2×(2)3×5So.Ans:- (a)1 |
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| 41. |
le loin |
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| 42. |
=l+~[en -~le |
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Answer» (1+1+1)/3=3/3=1, LCM of 3,3,3 is 3 (1/3)+(1/3)+(1/3)=(1+1+1)/3=3/3=1 |
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| 43. |
in Le one |
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| 44. |
Grsd)= (le=adao ) |
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| 45. |
1. For what value of k will k+9,2k -I and 2k dieu2. For what value ofk will the consecutive terms 2k + 1, 3k + 3 and 5 k-1 form an А.Р.? (k=the AD 5 913ー185 (153) |
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Answer» 2k + 1 = a3k + 3 = b5k - 1 = c To form an AP,a + c = 2b2k + 1 + 5k - 1 = 2( 3k + 3)7k = 6k + 6k = 6 So, k = 6 |
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| 46. |
6 ( 1 - 4 x ) + 7 ( 2 + 5 x ) = 53 |
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Answer» 6-24x+14+35x=5320+11x=5311x=53-2011x=33X=3 |
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| 47. |
3 A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved withsquare tiles of the same size. Find the least possible number of such tiles. |
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| 48. |
ave3 A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be psquare tiles of the same size. Find the least possible number of such tiles. |
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| 49. |
1.2.For what value of k will k + 9,2 -1 and 2k + 7 are the consecutive terms of an AP.? (For what value ofk will the canserutixe terme 7118)lr 1 lu n |
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Answer» Let,k + 9 = a2k - 1 = b2k + 7 = c To be in AP, a + c = 2b(k + 9) + (2k + 7) = 2(2k - 1)k + 9 + 2k + 7 = 4k - 23k + 16 = 4k - 23k - 4k = - 2 - 16- k = - 18k = 18 For k = 18, the terms k+9 , 2k - 1 , 2k + 7 are in AP Hope This helps you! |
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| 50. |
3.For what value of k will k+ 9, 2k 1 and 2k + 7 are the consecutive terms of an A.P? |
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Answer» If a,b,c are in AP then, 2b=a+c 2(2k-1)=k+9+2k+74k-2=3k+16k=18 |
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