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. |
3 3... ०05*10%+ 009%50% + 005%70%. जे) 2 B)1 L2amn 140040 aaa AR AA o |
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Answer» cos 10 cos 50 cos 70= (1/2) [ 2 cos 50 cos 70 ] cos 10= (1/2) [ cos 20 + cos 120 ] cos 10= (1/2) [ cos 20 -- 1 / 2 ] cos 10= (1/2) cos 20 cos 10 -- [ 1 / 4 ] cos 10= (1/4) [ 2 cos 20 cos 10 ] -- [ 1 / 4] cos 10= (1/4) [ cos 30 + cos 10 ] -- (1/4) cos 10= (1/4) cos 30= (1/4) sqrt(3)/2= sqrt(3) / 8 |
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| 2. |
049. Find the missing number from the given alterativesहित्य में लुप्त त्या ज्ञात करें।AAAAB1216 |
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Answer» maa ki kasam like karo please like correct answer is C=12like...... like........like........ 12 is the correct answer your correct answer is 12 12 is the correct answer of the given question |
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| 3. |
(a)Name two letters of English alphabet which have no rotational symmetry. |
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Answer» X and H and O is the answer to that question |
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| 4. |
540.40AAA24536[Delhi Police (Constable) 2012](a) 30 (b) 35(d) 50(c) 24 |
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Answer» (c) 24 5 × 4 × 2 = 403 × 5 × 3 = 456 × 4 × 1 = 24 c24 is the write ans the answer is 24 because in it all triangle's answer comes after multiply together. the answer is 24. 6×4×1 The right answer of this question is 24 .proof:- given that 4 ,6 and 1 so we are multiple of these number for example consider A=4,B=6,C=1 so we multiple A×B×C 4×6×1=24×1=24So the right answer is (C)24. 24 is my answer because 5 (c) 24 5×4×2=403×5×3=456×4×1=24 option c is the right answer. my answers is 24 because 5 multiply 4=20 20 multiple by 2 =40 and 3 multiple by 5=15 and 15 multiple by 3 =45 and 6 multiple by 4=24and 24 multiple by 1=24 (c) is the right answer Now don't send many answers this question answer is knowing all the students 5×4×2=४०३×५×३=४५६×४×१=२४ this is correct answer (c) 24 6(1)(4)=24. 5*2*4=405*3*3=45than 6*4*1=24 (c) 24 5 x 4 x 2=403 x 5 x 3=456 x 4 x 1=24 24 is right answer now Option C is the correct answer. 5 × 2 × 4 = 403 × 5 × 3 = 454 × 6 ×1 = 24 c = 24 Ans. 24 option c is correct |
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| 5. |
4. In AABC, ZA 30° B 40° and ZC 110°110°In APQR, P 30°, Q 40° and RA student says that AABC APQR by AAAcongruence criterion. Is he justified? Why orwhy not? |
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| 6. |
A student say that \triangle A B C \cong \triangle P Q R by AAAcongruence criterion. Is he justified? Why or why not? |
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| 7. |
6. In the given figure, DE| OQ and DF OR. Showthat EF | QR.This activity kads stti8.4.1 AAA CRITERON FOR STheorem-8.3: In twotiungs |
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Answer» thx bro |
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| 8. |
so thatFind the value of a|-hी : ५१ = 393 |
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Answer» As 49 gives 7*7 & 343 gives 7*7*7 so in multiply power will add when base are same so it gives 7*7*7*7*7 so 2x+1=5 by solving the equation we get x=2 X= 2 is the correct answer of the given question x=2 is the correct answer |
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| 9. |
Find the smallest number by which each of the following mumbers must beto obtain a perfect cube.i) 243(ii) 256(iii) 72(iv) 675(v) 100 |
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| 10. |
3. Evaluate:243 Ys(9110241(ii) (100)-":(iii)↓11)256 )(0) 6561625 M6561() |
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| 11. |
के «लि A: दी पफ, 50 o g, P, g idpus W 210, Wt ss dows W 256 . Fiid आज |
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Answer» Let a be the first term and d be the common difference of the given AP.Sum of the first n terms is given bySn = n/2 {2a + (n - 1)d}Putting n = 10, we getS₁₀ = 10/2 {2a + (10 - 1)d}210 = 5 (2a + 9d)2a + 9d = 210/52a + 9d = 42 ...............(1)Sum of the last 15 terms is 2565⇒ Sum of the first 50 terms - sum of the first 35 terms = 2565S₅₀ - S₃₅ = 2565⇒ 50/2 {2a + (50 - 1)d} - 35/2 {2a + (35 - 1)d} = 256525 (2a + 49d) - 35/2 (2a + 34d) = 2565⇒ 5 (2a + 49d) - 7/2 (2a + 34d) = 513⇒ 10a + 245d - 7a + 119d = 513⇒ 3a + 126d = 513⇒ a + 42d = 171 ........(2)Multiply the equation (2) with 2, we get2a + 84d = 342 .........(3)Subtracting (1) from (3) 2a + 84d = 342 2a + 9d = 42- - -_______________ 75d = 300_______________d= 4Now, substituting the value of d in equation (1)2a + 9d = 422a + 9*4 = 422a = 42 - 362a = 6a = 3So, the required AP is 3, 7, 11, 15, 19, 23, 27, 31, 35, 39 ...... |
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| 12. |
2. Find the smallest number by which each of the following numbers must be multipliedto obtain a perfect cube.(1) 243() 256(iii) 72 (675(v) 100 |
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Answer» 1) 243 must be multiplied by 3 to obtain 729 which of perfect cube of 92) 256 should be multiplied by 2 to obtain 512 which is perfect cube of 83) 72 must be multiplied by 3 to obtain 216 which is perfect cube of 64) 675 must be multiplied by 5 to get 3375 which is perfect cube of 15 5) 100 must be multiplied by 10 to obtain 1000 which is perfect cube of 10. 1- 243 must be multiplied by 3 to obtain 729 which is perfect cube of 9 |
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| 13. |
Page:Hataयदि . -_-3 7-7 का शान लो45 Date:W/जीन (11)2472 |
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| 14. |
Q2. Find two rational number between and |
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Answer» 7/10 and 2/3is the correct answer 3 / 5 + 5 / 4 = 3 / 4 |
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| 15. |
find two rational number between -2/3 and 1/4. |
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Answer» -2/3 and 1/4-2*4/3*4 =-8/12and 3/12-7/12,-6/12 are two rational numbers |
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| 16. |
S Shruti borrowed a certain sum at the rate of 15% per annum. If she paid at the endof 2 years 1,290 as interest compounded annually, find the sum she borrowed |
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| 17. |
Express \sin 67^{\circ}+\cos 75^{\circ} in terms of trigonometric ratios of angles between. |
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Answer» sin67° + cos 75° = cos 23° + sin 15° This is according to the formula, sin(90-∅) = cos∅ andcos (90-∅) = sinФ |
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| 18. |
2 m 10 cm %2B 5 m 67 |
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Answer» 2m 10cm + 5m 67cm=2.10m + 5.67m=7.77m=7m 77cm |
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| 19. |
The letter O of the English alphabet has(a) no line of symmetry(c) two lines of symmetry(b) one line of symmetry(d) none of these |
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| 20. |
(d) none of theseThe letter Z of the English alphabet has8.(a) no line of symmetry(c) two lines of symmetry(b) one line of symmetry(d) none of these |
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| 21. |
The anglcs ofdee in the abio 3 393 Fnd all the angls |
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Answer» angles are in 3:5:9:13 so 3x,5x,9x,13xso 3x+5x+9x+13x=36030x=360so x=12so angles are 36,60,108,156 |
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| 22. |
9 the plugp tement ot anthafa ftselt.qetermint --the-arge and.血angls its ho |
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| 23. |
. दिए गए निश्चयक का मान ज्ञात करो :oW WlP e L] n |
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| 24. |
2. For the following distributionMarksBelow 10 Below 20 Below 30 Below 40 Below 50 Below 6027577580No. of studentsFind the modal class |
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Answer» thank you |
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| 25. |
2. For the following distributionMarksBelow 10 Below 20 Below 30 Below 40 Below 50 Below 60No. of studentsFind the modal class.12275775 |
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| 26. |
1.56175 6710. afa (It) A=TA 9 a (then)(A) A-45$ (exists (B) |A1 =(C) A = 0(D) Non57 5657 |
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Answer» c) is the right answer of the following option (A) is the right answer (B) is the correct answer d is the correct answer c) is the right answer of the following option c is the right answer |
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| 27. |
12.of students in class II !Shruti paid * 57 for tomatoes andshe spend in all ?65 for onions. How much money didhers are 72 orchids. 57 roses and 25 lilies. How many |
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Answer» To find this add both57 for tomatoes +65 for onions =122 rupees |
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| 28. |
Ched wherther ,ne the vorte orinof anoseeles |
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| 29. |
( i v ) ( 3 a + 4 b - 6 c ) \times ( 4 a - 9 b + 8 c ) |
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Answer» 12a^2-27ab+24ac+16ab-36b^2+32bc-24ac+54bc-48c^2=12a^2-11ab-36b^2+86bc-48c^2 |
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| 30. |
1. Find the cubes of:(i) -11WL |
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Answer» (-11)^3=(-11×-11×-11)=-1331 the cubes of (-11) =-11×-11×-11=-1331 |
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| 31. |
&, SR T R 2:६३. | PN PR RWL |
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Answer» The first four multiple of 10 are10,20,30 and 40 |
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| 32. |
giit thangle.cample 2 Show that the points (1, 7), (4,2), (-1,-1) and (-4, 4) are the verticesre.lution: Let P1 |
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Answer» Given points are (1,7),(4,2),(-1,-1),(-4,4)Let the points are A,B,C,D.Distance formula =√(x₂-x₁)²+(y₂-y₁)² AB =√(4-1)²+(2-7)² =√9+25 =√34 BC =√(-1-4)²+(-1-2)² =√25+9 = √34 CD =√(-4-(-1))²+(4-(-1))² =√9+25 = √34 DA =√(1-(-4))²+(7-4)² =√25+9 =√34We know that the all sides of the square are equal.Here by the distance formula, we got the for sides equal .So,from this we can say that these points are the vertices of a square. |
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| 33. |
the first prize in a lottery isA girl calculated that the probability of her winning0.08. If 6000 tickets are sold, how many tickets has she bought? |
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| 34. |
ICBSE 2004(5 i-j + Îť k) then find the value of Îť so that[CBSE 2013)4. If a = (i-1 + 7 k) and b(ub) and (a - b) are orthogonal vectors.5 Show thit tho |
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| 35. |
(a) 7(b) 14l calculates that the probability of her winning the first prize in a lottery is 0-08.000 tickets are sold, how many tickets she has bought?(a) 40(b) 240(c) 480(d) 750 |
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| 36. |
DBC are both isosceles triangles on a common base BC such that Aand Dtie on th etof BC. Are triangles ADB and ADC congruent? Which condition do you40 and BDC 100°;then find LADB.ition do you use?f |
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| 37. |
DSE 2002ÎÎ(ii) If a -6 i-j-3 k) and bs(i + 31-5k) then show that (a+b)and (a - b) are orthogonal.CBSE 2004 |
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| 38. |
ow tharany positive odd integer is of the form 6q 1, or 6g +3,or 6q+ 5,wsomemteger |
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Answer» Let a be any positive integer a=6q+r where 0< or equal to r <6 put r=1: a=6q+1 =odd integer r=3: a=6q+3=odd integer r=5: a=6q+5=odd integer therefore,any positive odd integer is of the form 6q+1,6q+3 or 6q+5,where q is some integerLike if you find it useful |
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| 39. |
(111)oo/and2Show that any positive odd integer is of the form 6q+1, or 6+3, or 6g +5, where gissome integer. |
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Answer» thanx |
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| 40. |
(ii) Some isosceles triangles are equilateral. |
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Answer» we know thatAn isosceles triangle has two equal sides and two equal anglesThe equilateral triangle has the three equal sides and the three equal anglessoIf a triangle is isosceles cannot be equilateraltherefore the statement is False |
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| 41. |
č¨1225. 4 3 11 9 15 61449801 |
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| 42. |
a person standing on the bank of the river observes that AE of the top of a tree on the opposite bank is 60°.when he moves 40m away from the bank. AE is 30°. find height of the tree and width of the river |
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| 43. |
Q20. A person standing on the bank of a river observes that the angle of elevationof the top of tree standing on the opposite bank is 60o. When he moves 40 metresaway from the bank, he finds the angle of elevation to be 30°. Find the height ofthe tree and the width of the river. |
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| 44. |
A person standing on the bank of a river observes that the angle of elevation of the top of the treestanding on the opposite bank is 60°. When he moves 30m away from the bank, he finds the angleelevation to be 30°. Find the height of the tree and the width of the river.9.4 |
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| 45. |
A number exceeds four times its reciprocal by 3. Find the number |
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Answer» First we have to convert the given word problem into algebraic equation. Let the number = x Four times of its reciprocal = 4/ x According to the problem, x - 4 / x = 3 ( x ^2 - 4 )/ x = 3 x ^2 - 4 = 3x x ^2 - 3x - 4 = 0 Spilt the middle term x ^2 + x - 4x - 4 = 0 x ( x + 1 ) - 4 ( x + 1 ) = 0 ( x + 1 ) ( x - 4 ) = 0 x + 1 = 0 or x - 4 = 0 x = -1 or x = 4 |
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| 46. |
1. Three Farmers Have 490kg, 588kg 1 pointAnd 882 Kg Of Wheat Respectively.Find The Maximum Capacity Of ABag So That The Wheat Can BePacked In Exact Number Of Bags.* |
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Answer» The common factors are:1, 2, 7, 14, 49, 98 The Greatest Common Factor:GCF = 98Therefore,themaximum capacity of bag so that wheat can be packed in exact no. of bags is 98 kg the wheat is packed in 2 bags To find the maximum capacity of the bag to pack all the weight in exact number of bags, we need to find the HCF of these weights490=2*5*7*7588=2*2*3*7*7882=2*3*3*7*7common factors are-2 and 7(occurring twice)so HCF=7*7*2=98so the capacity of the bag is 98 kg wheat is packed in 2 bags let common factor 1,2,3,7,14,49,98 common factor gcfis 98 Required no of bags = hcf of 490, 588, 882 = 98 Max no of bags = hcf of 490, 882 and 588 = 98 HCF of 490, 588, 882 is 95so correct answer is 98 L.C.M of 490,588and 882 is 98hence, the maximum capacity of bag so wheat can be packed in exact no. of bags is 98 kg maximum capacity of bag is 98 kgs there are maximum capacity of bag so that wheat can be packed in exact no.of bag is 98kg there are maximum capacity of bag so that wheat can be packed in exact no of bag is 98 kg HCF of 490 ,588, 882 is490=2*5*7*7588=2*2*3*7*7882=2*3*3*7*7so HCF =2*7*7=98so the capacity of bag is 98 Maximum capacity of the bag is 98kg hey how are you 😘😘😘😘😘😘😍😍😍😍😍😍 the common factors are 1,2,7,14,49 and 98the greatest common factor is 98therefore the maximum capacity of bag so that the wheat can be packed in exact number of bags is 98 kg 98 is the answer for this question this solution We will take the heights comman factorfor these numbersand all numbers have heights comman factor is 98 and answer will be 98 kg. bag here we need maximum capacity bag so first find highest common factor of these no that is 98. mean 98kg capacity bag should be needed for packing .you can check all there no should be divisible by 98 so 98 is correct answer.(always remember for max find hcf for min lcm) The maximum capacity of each bag= 78Kg no. of bag is 98, kg do hcf of 490 . 588. and 882. and 98 is yoir answers h. c. f of 490,588,882 is 98 so answer will be 98 The answer will be 98 a is must be better answer for this question exact number of bags is 98 98kg is the right answer Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags. (i) 98 kg (ii) 290 kg (iii) 200 (iv) 350 kg Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags. (i) 98 kg (ii) 290 kg (iii) 200 (iv) 350 kg 98kg is the capacity of a bag HCF OF 498,588,882 IS 98 so that we can be packed in extra number of bags is 98 kg First find the Hcf of all three numbers that is 98 and that is the maximum capacity and then find the Lcm that is 8820 and divide by 98. The answer is 90. 98 kgs because the greatest common factor is 98 number of bags - hcf of 490 ,588,882 is 98 we hve to find the hcf that iz equal to 98 taking HCF we get 98.Hence maximum capacity of a bag be 98kg the answer get by taking hcf is 98 98 is correct answer bcz greatest common factor is 98 98kg is the maximum capacity of a bag is required. the HCF of 490,588,and 882is 98 882 is answer this is a farmer wheat the common factor are 1,2,7,14,49,98 so max number is 98 to find the maximum capacity of the bag to pack all the weight in exact number of bags , we need to find the h.c.f of these weights 490 = 2*5*7*7588 =2*2*3*7*7882 =2*3*3*7*7common factors are - 2 and 7(occurring twiceso,h.c.f = 7*7 *2 =98so,the capacity of these bags will be 98 |
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| 47. |
5. ABC and DBC are twa isosceles triangles on thesame base BC (see Fig. 7.33). Show that |
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Answer» As ABC is congruent then angle ABC = ACBin BDC angle BDC= angle DCDadding them we get angle ABD= angle ACD |
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| 48. |
rM(11) 196and 38220(iii) 867 and2552/Show that any positive odd integer is ofthe form 6g-l, or 6q+3, or 64 + 5, where g issome integer |
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Answer» Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder. according to Euclid's division lemmaa=bq+ra=6q+rwhere , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5 but here,a=6q+1 & a=6q+3 & a=6q+5 are odd. |
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| 49. |
\left. \begin{array} { l l } { 210,120,7,24,6,0 } \\ { ( A ) 64 } \end{array} \right. |
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Answer» option B Sorry I got my answer from somewhere else and the answer is 60. Its 210=5*6*7120=4*5*660=3*4*524=2*3*46=1*2*30=0*1*2So the answer in series is 60.Thanks for giving advice! |
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| 50. |
BXWrite five rational numbers which are smaller than 2.1 |
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Answer» 0,-1,1,( minus 1/2)(1/2) |
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