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. |
Test the divisibility of the no. by 11:- 3178965 |
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Answer» for a number to be divisible by 11 the sum of digits at odd place - sum of digits of even place , should be equal to multiple of 11 here the number is. 3178965 sum of odd place digits = 3+7+9+5 = 24 sum of even place digits = 1+8+6= 15 difference = 24-15 = 9 and since 9 is not a multiple of 11 so, the number is not a multiple of 11 |
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| 2. |
4. In Fig. 10.34, rays OA,UB,DUdpoint o360that LAOB+ LBOC+ ZCOD + LDOE +LEOA0 12.In Fig. 10.35, ZAOC and BOC form a linear pairand b30% |
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| 3. |
6. Subtract the sum of -5020 and 2320 from -709. |
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Answer» -709- (-5020+2320)= -709-2700=1991 the answer is the questionthe answer is 1991 |
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| 4. |
Test the divisibility of:() 3740 by 5 |
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Answer» yes it is divisibleas test of divisibility of 5 is the number rahould end with 0 or 5 |
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| 5. |
2Practice set 3.1e 3.8, ZACD is an exterior angle of A ABC.0, LA-709. Find the measure of ZACDR, LP-70°, Q 65 then find ZR.asures of angles of a triangle are x°, (r-20), (r-40)9.Fig. 3.8measure of each angle. |
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Answer» but all method rest two questions is not complete.. please post it again |
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| 6. |
Check the divisibility of 108 by 3. |
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Answer» 1+0+8 = 9 9 is divisible by 3 So, 108 is divisible by 3. |
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| 7. |
5.In a Δ ABC, 2 C3.2 B2 (ZA +B). Find the three angles. |
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| 8. |
check the divisibility of 3142 by 2 |
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Answer» Divisibility of 2: The last digit of number must be 0,2,4,6 or 8 Number=3142Last digit is 2So, 3142 is divisible by 2 |
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| 9. |
In Fig. 10.43, ABCD is a trapezium such that ABIDC Find 4D and cC andverity that sum of the four angles is 36040709Fig. 10.43 |
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Answer» AB || DC we have<A + <D = 180° angle D= 180-40= 140also <B + <C = 180° angle c= 110 |
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| 10. |
In AABC if ZA = 3<B and LC-2<B, then find all the angles of AABC.: |
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Answer» ∆ABC A-18,B-54,C-108 sorry apka yeh answer wrong hai |
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| 11. |
7. ZA and 4B are angles of a linear pair. If42 A = 5<B, find <A and < B. |
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| 12. |
ct the sum of-5020 and 2320 from-709 |
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Answer» please like my answer if you find it useful thanks |
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| 13. |
learn divisibility rules of 2,3,4,5,6,8,9,10 and 11 |
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Answer» 2- once place should be even3- sum of all digits should be divisible by 34- last two digits should be divisible by 45- once place should be 0,56- number is divisible by 2,38- last three digits should be divisible by 89- sum of all digits should be divisible by 910- once place should be 011- subtract the numbers odd and even |
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| 14. |
EXERCISE 16Aparallelogram in which ZA = 110°. Find the measure of each of the angles1. ABCD is a parZB, ZC and ZD.111 |
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Answer» 70°,70°,110° is the correct answer of the given question |
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| 15. |
2. Test the divisibility of 67529124 by 8. |
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| 16. |
: \left| \begin{array} { c c c } { 1 } & { 3 } & { 5 } \\ { 2 } & { 6 } & { 10 } \\ { 31 } & { 11 } & { 38 } \end{array} \right| |
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| 17. |
thoee (ubes each of Sideä¸(roqotjoined end to end nd te |
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Answer» Length of each side of cube = 5 cmNow, 3 cubes are joined end to end.So, the length of the resulting cuboid will be = 5+5+5 = 15 cmBut, the breadth and height will remain the same.So, Breadth = 5 cm and Height = 5 cmSurface area of the cuboid = 2(LB + BH +HL)= 2(15*5 + 5*5 + 5*15)= 2(75 + 25 + 75)= 2*175Surface area of the cuboid = 350 sq cm |
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| 18. |
EXERCISE 16AARCD is a parallelogram in which ZA-110". Find the measure of each of the anidesRC and Dahomma onda se |
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Answer» thanks |
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| 19. |
IDialice BUE कफ 2५ टेट 1 छिएने 1 एन-स9कलॉएनलें |
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Answer» Solution:Apply remainder theorem=>x – a =0=> x = aReplace x by a we get=> x3– ax2+ 6x – a=>( a)3-a(a)2+ 6(a) - a=> a3sup> – a3+ 6a – a=> 5aRemainder is 5a |
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| 20. |
PRACTICE EXERCISEMark Question. In parallelogram ABCD, if ZA 709 find B |
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| 21. |
ece |
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| 22. |
Find , if yddydx |
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| 23. |
1l. In Fig. 6.40, E is a point on side CBproduced of an isosceles triangle ABCwith AB = AC. IfAD丄BC and EF丄AC,prove that Δ ABD-Δ ECE |
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| 24. |
e [2-8 अर 9 | है 95८... | bl (2 By४ ८७ 2002 1% ि#ि (2444 हाo “w gL ko b Bue L bk iy 7 | 8 2हि B o एम 39VANTWIONVIRV ONILLSB |
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Answer» hit like if you find it useful |
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| 25. |
From a tape of 5m long, you cut offof it, what length of tape is cut? |
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| 26. |
pa onethat l s-sg rational |
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Answer» To prove that√5 is irrational numberLet us assume that√5 is rationalThen√5 =a/b(a and b are co primes, with only 1 common factor and b≠0)⇒√5 = a/b(cross multiply)⇒ a =√5b⇒ a² = 5b² ------->α⇒ 5/a²(by theorem if p divides q then p can also divide q²)⇒ 5/a ----> 1⇒ a = 5c(squaring on both sides)⇒ a² = 25c² ---->βFrom equationsα andβ⇒ 5b² = 25c²⇒ b² = 5c²⇒ 5/b²(again by theorem)⇒ 5/b-------> 2 we know that a and b are co-primes having only 1 common factor but from 1 and 2 we can that it is wrong.This contradiction arises because we assumed that√5 is a rational number∴ our assumption is wrong∴√5 is irrational number |
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| 27. |
3 A gulab jamun, contains sugar syrup up to about30% of its volume. Find approximately how muchsyrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical endswith length 5 cm and diameter 2.8 cm (see Fig. 13.15). |
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Answer» It can be observed that Radius (r) of cylindrical part = Radius (r) of hemispherical part = 2.8/2 = 1.4 cm Length of each hemispherical part = Radius of hemispherical part = 1.4 cm Length (h) of cylindrical part = 5 − 2 × Length of hemispherical part = 5 − 2 × 1.4 = 2.2 cm Volume of one gulab jamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part πr^2h+2*2/3πr^3=πr^2h+4/3πr^322/7*1.4*1.4*2.2+4/3*22/7*1.4*1.4*1.4=25.04cm^3Volume of 45 gulab jamuns =45 x 25.05 = 1,127.25 cm^3 Volume of sugar syrup = 30% of volume = 30/100 x1127.25 = 338.17 cm^3 = 338 cm^3 |
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| 28. |
l diguin, nhi OLl ule Humbers 92690, 7378 and 7161.14. If one zero of a polynomial 3x2-8x + 2k +1 is seven times the other, find the value of k |
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| 29. |
3. A gulab jamun, contains sugar syrup up to about30% of its volume. Find approximately how muchsyrup would be found in 45, gulab jamuns, eachshaped like a cylinder with twoherical endswith length 5 cm and diameter 2.8 cm (see Fig. 13.15). |
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| 30. |
EXERCISE 16AABCD is a parallelogram in which LA-110". Find the measure of each of the anglesand CDuat is the measure of each of |
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Answer» Thanks |
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| 31. |
(a) Seven multiplied by the sum of seven and six |
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| 32. |
EXERCISE 16AABCD is a parallelogram in which LA -110. Find the measure of each of the anglesZB, ZC and ZDhnt is the measure of each of |
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| 33. |
dyFind , if y + sin y cos x. |
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| 34. |
a (1-cos θ), finddydxExample 11 : If x-a (θ-sin θ)andy |
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Answer» hit like if you find it useful |
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| 35. |
dydx25 Find, if y + sin y cos x. |
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| 36. |
Q.l.(i)) f 1, ω, ω2 be the cube roots of unit then find the valueof (r-a) + a 2)25 + (1 + ω_ω2)252 252-25 |
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| 37. |
Divide and write the answer in decimal form:(2) 18 ² by 1 / 3(c) 8f by T1 |
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| 38. |
Fnd the buete end of the A.P. 17, 14, 11,18. Find the value of x for which the numbers (5x +2), (4x-1) and (x + 2) are in A.P. |
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Answer» first line explain it sakte h samaj me bhi aa that mujhe A.P main common difference same hain na.matlab a, b, c AP main hai tho. d = b-a = c-b ab b-a = c-b => 2b = a+c |
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| 39. |
\left| \begin array c c c 11 & 14 & 17 \\ 12 & 15 & 18 \\ 13 & 1619 \end array \right| |
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Answer» |11 14 17|D= |12 15 18| |13 16 19| R₃→R₃-R₂ and R₂→R₂-R₁|11 3 3||12 3 3|=D|13 3 3| R₃→R₃-R₂ |11 3 0||12 3 0|=D|13 3 0|D=0 |
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| 40. |
proof that 97200÷216=450 |
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| 41. |
proof that sum of a triangle is 180* |
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| 42. |
(1) A gulab jamun contains sugar syrup up to about 30% of itsvolume.(a) Find approximately how much syrup would be found in 45gulab jamuns, each shaped like a cylinder with twohemispherical ends with length 5 cm and diameter 2.8 cm.(b) What mathematical concept is used in the above problem.2.8 cm5 cm |
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| 43. |
Wa15. In a schoolthe school. 8of the students are boys. If therel l one of the rainSare boys. If there are 240 girls, find the number of boys inin the hook? |
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| 44. |
18. Find the smallest seven-digit number which is divisible by 532. |
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Answer» to find smallest 7 digit numberlet 7 digit number be x so first take leadt 7 digit number ie 1000000 dividide 1000000/532 =1879.6so the next number ie 1880 is dicisible by 532 ie 1880 ×532 = 1000160 is the amswer least 7 digit number 1000160 is right answerMay this help you 1000160is the smallest 7digits no which is divisible by 532 1000160 is correct answer hai 1000160 is the smallest 7digits no which is divisible by 532 1000160 is the right answer 1000160 is the right answer |
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| 45. |
EXERCISE 8FA child has 6 pockets. In how many ways can he put 5 marbles in hispocket |
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Answer» The first marble can be put into the pockets in 6 ways, so can the second and third. Thus, the number of ways in which the child can put the marbles = 6 X 6 X 6 = 216 ways |
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| 46. |
e woud, Ab wliawn जिला नयी, 2 «2 2 ६० ८2 Bही. 62 (ariels - fordl W}Wfi&,&,‘ 8f M‘ o ¥W) (noidhes a plock mk,w,) %B |
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Answer» Total number of Outcome (Cards) = 52 First eliminate half the deck, so as to get rid of the black cards. This leaves, 1/2× 52 = 26 Cards However, two king were already gotten rid of when all the black cards were removed, leaving only two black king.Thus, we take two black king away from our remaining cards, 26 - 2 = 24 ∴ Number of Favourable Outcomes = 24 P(getting neither a black nor a king) = 24/52 = 6/13 |
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| 47. |
25÷2 {2×15+(25-1)-2} |
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| 48. |
ι and β are the roots of the equation m2 +2m-250 . Find the product of the roots.(B) 25(C) -2225hiut, f getting two hea |
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Answer» We know product of roots = c/aSo product of root is -25B) -25 Option is correct |
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| 49. |
Find dy cos /Sin x |
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| 50. |
ify = log casts?Find dy |
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