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. |
. Weight of an object is the greatest on which of the following planets?MeresryMarsVenesJapiter |
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Answer» .Jupiteris the largest planet in ourSolar Systemwith the mostmass. Because of Jupiter'smass, you would weigh more on that planet than on any other one in ourSolar System thnx |
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| 2. |
nd the area of the parallelogram whose adjacent sides are deterrthevectorsa=3i+j+4kandb=17/+k. |
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| 3. |
struct a parallelogram whose adjacent sides are 6.5 cm 8 cm andetween them is 70 |
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Answer» Steps of construction:1. Draw a line AB measuring 6.5 cm.2. Then draw a line through A taking 70° by protector. 3. Then by compass, cut a line measuring 8 cm placing the compass on both the points A and B. Then draw through A first.4. take a measurement of AB 6.5 cm. then through C draw an arc on point D.5. Then join the line BD. |
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| 4. |
Write the first five term of the sequence 2,n+1 |
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| 5. |
im 3+x -3Xxâ0 |
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| 6. |
व न मे लता(क) किसी लम्बवृत्तीय बेलन के आधार का क्षेत्रफल 154 सेमी* हैसेमी है। इसका वक़पृषठ ज्ञात कीजिए। |
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Answer» बेलन का वक्र पृष्ठ = 2πrh= 2*3.14*10*154= 9671.2cm^2 |
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| 7. |
भारतीय अन्तरिक्ष कार्यक्रम को प्रा भ करने का भ्रेय किसको है?(क) डॉ. अब्दुल कलाम (ख) डॉ. रमन(न) डॉ. विक्रम अंबालाल साराभाई (घ) आर्यभट्ट |
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Answer» भारतीय अन्तरिक्ष कार्यक्रमडॉ विक्रम साराभाईकी संकल्पना है, जिन्हें भारतीय अन्तरिक्ष कार्यक्रम का जनक कहा गया है। वे वैज्ञानिक कल्पना एवं राष्ट्र-नायक के रूप में जाने गए। वर्तमान प्रारूप में इस कार्यक्रम की कमानभारतीय अंतरिक्ष अनुसंधान संगठन(इसरो) के हाथों में है। |
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| 8. |
(3x+5)(2x-2)=(2x+8)(3x-3) |
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Answer» (3x+5)(2x-2)=(2x+8)(3x-3)=>6x^2 + 10x - 6x - 10= 6x^2 -6x + 24x -24=>4x -10=18x -24=>14x = 14=>x = 1 |
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| 9. |
ha mat e an isational nunkoJong diviasian method |
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Answer» Please have a look at the attachment for the solution of this question. ⇒ √5 = 2.236067977 ............ is non terminating and non recurring decimal. So, √5 is an irrational number. Hence proved. Please have a look at the attachment for the solution of this question. ⇒ √5 = 2.236067977 ............ is non terminating and non recurring decimal. So, √5 is an irrational number. Hence proved. |
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| 10. |
/If (3+l,y-2) (31)findthevaluesofxandfind the values of x and y. |
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| 11. |
8Solve the following equations.a.2x - 3x = 83 5 |
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Answer» 8 answers aayega shi hai x=120 is a right answer x=119 is correct answer 2x/3 - 3x/5 = 8 10x - 9x /15 =8 x / 15 = 8 x = 8×15 x = 120 2x÷3-3x÷5=85 (2x÷3)-3 (3x÷5)=810x÷15-9x÷15=8(10x-9x)÷15=8 x÷15 =8 x=8×15 x=120 120 is a right answer 10x/15-9x/15=8x/15=8x=120120 is correct answer the answer is 2x/3-3x/5 =120 X = 120 is the correct answer 2x/3 -- 3x/5 =8 2x--3x/15=810x--9x/15=810x--9x=15×8 x=120 ans. 2x\3-3x\5=10x-9x\15=x\15=x=15x8,x=120 isaka uttar hoga 120 shahi uttar hi 120 he ayega bro ye equation one linear hai 2x/3-3x/8=8 10x-9x/15=8x=90 2×/3-3x/5=810x-9x/15=8 x/15=8 x = 8×15 x=120 2×/3-3×/5=8and the answer is 120 120 is the answer of this question x ka answer hai 120 hai lcm of denominator= 15 , then 2x-3x/15=8x/15=8x=8×15x=120 x=120 is the answer of question =120 is a right answer L.C.M=8,10x-9x=1x,then ,x=8 x=64 hoga kyuki iska lcm = 15 X=120 is the right answer the value of X will be 120 (10x - 9x)/15=8x/15 =8x=120 120 correct answer 2x/3-2x/5=8 => (10x-9x)/15=8=> x/15=8=>. x=15×8=>. x=120// x ka vailue 120 prapt hoga the correct answer is 48/2 the correct answer is X=120 x-120hi hoga ya xbaraber 120hi hai right answer hai 120 2x/3-3x/5=810x-9x=120x=120 10x-9x=120x=120 is the answer 2x/3 - 3x/5 = 810x/15 - 9x /15 = 8x = 8 × 15× = 120 120 is correct answer phallay LCM loo 3. 5 ka. phir aaiyga 10x. -9x=8 1x=8 then x =8 x=120 right answer h na x = 120 Answer. correct answer 2x*5-3x*5=-5x. 8*15=120. 120/5=24. x=24 જવાબ x= 120 is the correct answer 2x/3-3x/5=810x-9x/15=8x=8×15x=120 23 is the correct answer 120 is the correct answer x= 120 is a right answer 2×/3- 3×/5=810×-9×/15=8×/15=8×=8×15×=120And finally my answer is 120 2x/3 - 3x/5=810x-9x/ 15 = 8x/15 = 8x= 8 × 15x=120 x/15 = 8 x = 120 is correct answer x=120 is correct answer 2x/3-3x/5=810x-9x=8*1510x-9x=120x=120 sahi answers h 120 right 10x-9x÷15=8x÷15=8x=8x15x=120 x-120 is the answer of question 10x-9x=15×8x=120the answer is 120 ×=120 correct answer x=120 is correct answer x=120 is right answer 2x/3 - 3x/5 = 8or, (10x - 9x)/15 = 8 [L.C.M of 3 and 5 is 15]or, x/15 = 8or, x =15 × 8or, x = 120 (10x-9x)÷15=8x=8×15x=120 120 is a right answer 2x/3-3x/5=810x - 9x /15=8x=8×15 x=120 i dont know this........ iska answer hoga 96ayega |
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| 12. |
A fraction becomes 1/3when 1 is subtracted fromthe numerator and it becomes 1/4 when 8 is addedto its denominator. Find the fraction. |
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| 13. |
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reducesto 1. It becomes 1/2if we only add 1 to the denominator. What is the fraction? |
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Answer» thanks 😘😘😘😘😘 |
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| 14. |
Prove that if a number is tripled, then its cubeis 27 times the cube of the given number. |
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Answer» I can't understand |
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| 15. |
(x) Substitute 3 imIT(a) x7x 12 (3) +7 (-3) 12 9+4 12 25 |
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Answer» x*x + 7x + 12 while substituting x = -3 in the above equation = (-3)*(-3) + 7*(-3) + 12 = 9 - 21 + 12 = 21 - 21 = 0 If you find this answer helpful then like it. |
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| 16. |
© TRS L38 © |
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Answer» thanks |
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| 17. |
5. If 3x+83x-k then k = |
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| 18. |
Use the substitution y 3x + 1 to solve for5(3x +1)2 + 6(3x + 1) -8 0. |
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Answer» 5(3x+1)(3x+1) + 6(3x+1) - 8 = 0 3x + 1 = y 5y*y + 6y - 8 = 0 5y*y + 10y - 4y - 8 = 0 (5y-4)(y+2) = 0 y = -2 , 4/5 3x + 1 = -2 , 4/5 x = -1 , -1/15 |
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5. ਹੇਠ ਦਿੱਤੇ ਵਿਅੰਜਕ ਨੂੰ ਹੱਲ ਕਰਨ ਦਾ ਸਹੀ ਤਰੀਕਾatt? Which is correct method tosolve following expression? निम्नलिखितव्यंजक को हल करने के लिए सही विधि कौन सी1।-|o |
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Answer» take lcm of denominator and solve it by lcm method |
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| 20. |
20. cos (sin l3.__5) के बराबर मान होगालय ¥ aA ™ |
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| 21. |
2sinf —3cosf4sinf —9cos0secl = 5—l3 , ereofled =3 e PSS |
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Answer» sec theta = 13/5 cos theta = 1/sec theta = 5/13 sin^2 theta = 1- cos^2 theta = 1 - (5/13)^2 = 1 - 25/169 = 169-25 / 169 = 144/169 sin theta = 12/13 Now, put the values in the equation = 2 sin theta - 3 cos theta / 4 sin theta - 9 cos theta = ( 2*12/13 - 3*5/13 ) / ( 4*12/13 - 9*5/13) = ( 24/13 - 15/13) / ( 48/13 - 45/13) = { (24-15)/13} / { (48-45)/13 } Cancel out that 13. = 9/3 = 3 |
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| 22. |
L3L31Find the values of a and b for which the following hold: |
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Answer» 2a-b = 5-2a -2b 4 2a - b= 5 -2a -2b = 4 add b= -3 2a = 8 a= 4 |
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| 23. |
Whow thatr's anJong divigian mehedly |
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Answer» Assume that sqrt(6) is rational. Then sqrt(6) = p/q where p and q are coprime integers. sqrt(6)^2 = 6 = p²/q² p² = 6q² therefore p² is an even number since an even number multiplied by any other integer is also an even number. If p² is even then p must also be even since if p were odd, an odd number multiplied by an odd number would also be odd. So we can replace p with 2k where k is an integer. (2k)² = 6q²4k² = 6q²2k² = 3q² Now we see that 3q² is even. For 3q² to be even, q² must be even since 3 is odd and an odd times an even number is even. And by the same argument above, if q² is even then q is even. So both p and q are even which means both are divisible by 2. But that means they are not coprime, contradicting our assumption so sqrt(6) is not rational. |
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| 24. |
)(3x + 8)(5-2x) |
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| 25. |
Name the following expression-1 +2+3 |
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Answer» This is Arithmetic progression experssion.Which (A.P) Expression .the numbers are in (1+2+3+....)be like ..is called A.P |
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| 26. |
-Simplify the following expression:owl + |
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| 27. |
The angle of elevation of the top of a tower at a point on the ground is 30degree. If the height of the tower is tripled,find the angle of elevation of the top at the same point. |
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Answer» Let AB be the height of the tower and BC be the distance between the tower and the observation point. Let∠ACBbe the angle of elevation. Thereforetan30=h/d⇒h/d=1/√3............(1) If the height is tripled , let the angle of elevation beθ. tanθ=3h/d=3*h/dtanθ=3*1/√3=√3θ=60 Thus the required angle is 600 deg. |
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| 28. |
Factorise the following expression(i) x^3 - 7x^2 |
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Answer» factorisationx³ - 7x²x² (x - 7) |
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| 29. |
e) 15 x 11 =(i)25 x 12 = |
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Answer» 165 and 300 is the correct answer (e) ans. 165(i) ans. 300 165 and 300 is the correct answer of the given question e) 165i) 300 is correct answer. 15×11=16525×12= 300 is the correct answer 15×11=16525×12=300 is a correct answer 165 and 300 is correct ans 165 and 300 is the correct answer 15×11=16525×12=300like my answer no copy 165 and 300 is the correct answer abe itna assan toh hai answer is 165 and 300 165 and 300 is the correct answer 15*10+15=150+15=16525*10+25*2=250+50=300165 and 300 is correct answer (e) =165 (i)=300 15×11= 165 25×11=300 15×11=16525×12÷300 is the correct answer |
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| 30. |
Express the following expression in the form of a +ib |
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| 31. |
Exercise7.2Factorise the following expression1. a -4ab+46 |
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Answer» (a-2b)² is the correct answer of the given question |
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| 32. |
1 Factorise the following expression:80-84)2-6 (p-84) |
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| 33. |
Ly+%9 = (14%) + दकरट) 0) |
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Answer» Like if you find it useful |
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| 34. |
Divide4693 \text { ly } 23 |
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Answer» 4693/23after dividing4693 by 23answer will be204.0434 |
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| 35. |
l steel ball fals through a syrup at constant speed of 10 cm/s. If the steel ball is pulled upwardswith a force equal to twice its effective weight, how fast will it move upwards ?(A) 10 cm/s(B) 20 cm/s(C) 5 cm/s(D) -5 cm/s |
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| 36. |
8) The ratio of the height of a tower and the length of its sshadow on the ground is(01)5:1. What is the angle of elevation onaiadijan.o too m from its foot ism rom is fot isGromaa distance of too m from its foot is |
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Answer» its height to length ratio gives tanwhich gives angle of elevationtan(theta)=sqrt(3):1 =tan60 angle of elevation is 60 degreee |
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| 37. |
If [x] denotes the greatest integer less than orequal to x,then the value of \int_{1}^{5}\{\{x-3|] d x is |
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| 38. |
3.Prove that the Greatest Integer Function f: R → R, givenone-one nor onto, where [x] denotes the greatest integerby fox)-x], is neitherless than or equal to x |
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Answer» A functionf:X→Yf:X→Ywhere for everyx1,x2∈X,f(x1)=f(x2)⇒x1=x2x1,x2∈X,f(x1)=f(x2)⇒x1=x2is called a one-one or injective function. A functionf:X→Yf:X→Yis said to be onto or surjective, if every element of Y is the image of some element of X under f, i.e., for everyy∈Yy∈Y, there exists an element x in X such thatf(x)=yf(x)=y. Givenf:R→Rf:R→Rdefined byf(x)=[x],f(x)=[x],where[x][x]denotes the greatest integerleqxleqx: Step1: Injective or One-One function For example, if we considerx=1.1x=1.1, we see thatf(1.1)=1f(1.1)=1. Similarly, if we considerx=1.9x=1.9, we see thatf(1.9)=1f(1.9)=1. ⇒[1.1]=[1.9]⇒[1.1]=[1.9], but given1.1≠1.91.1≠1.9, f:R→Rf:R→Rdefined byf(x)=[x],f(x)=[x],is not one-one. |
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| 39. |
cot-XThe domain of definition of the function f(x)=where [x] denotes the greatest integerless than or equal to x is -(A)R(C)R-{0}(B)R-{+ Vn:n e It U{0}}(D) R-{n:nel) |
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Answer» answer is c ok Bhak sale option C is the correct answer Bhak salle |
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| 40. |
For each t e R, let (t) be the greatest integer less than or equal to t.11 1215x-+0+X.(a) does not exist (in R)(c) is equal to 15(b) is equal to0(d) is equal to 120 |
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Answer» limx-->0+ x{(1/x) + (2/x) +.... +(15/x)} limx-->0+ x/x{(1+ 2 +.... +15)} limx-->0+ x/x{15/2(1 + 15)} limx-->0+ x/x{15*8} = 120 (d) is correct option |
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| 41. |
What is Greatest integer? |
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Answer» TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger. The Greatest Integer Function is denoted byy= [x].For all real numbers,x, thegreatest integer functionreturns the largest integerless than or equal tox. In essence, it rounds down a real number to the nearest integer. For example: [1] = 1 [1.5] = 1 [3.7] = 3 [4.3] = 4 TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger. TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger. |
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| 42. |
Find gof and fog, if f:R- R and g R- R are given by f(x) - cos t and g(x)-3x. Show thatgof fog.R and g: R->R are given by f (x)x and g(x3xcos r a |
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| 43. |
73 |
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Answer» 4/7*3/4=(4*3)/(7*4)=3/7 Reply step by step method |
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| 44. |
is 9 m long, 8 m bdeforttafotrcmwde.A room2 m x 1.5 m and threeroad and 6.5 m high. It has one door of dimensionswindows each of dimensions 1 5 m x 1 m. Find the cost ot tonshing the walls at Rs 3.80 per square metre.was |
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| 45. |
rdinates of the points of trisection of the line segmeand (-2,-3). |
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| 46. |
If a and B are the zeroes of the polynomial x+ 73 + 3, then the value of(a – B)? is |
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Answer» For the Given Eq ans will be 37 |
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| 47. |
6x +21+1= 73-3 |
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| 48. |
73-158=2IF 29-3 |
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| 49. |
10. What nüiber mus be adutuWhat number must be subtracted from each term of the ratio 17: 33 so that the ratiobecomes 7: 15?11 If7 ie added to cach of the numbers, the ratio becomes |
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Answer» let the number must be subtracted be x. |
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| 50. |
A) 80160he distance between the points (3, 5) and (5, 7) is:r-coordinate of the point dividing the line-segmeatio 2: 3is: |
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Answer» let x1=3, y1=5,x2=5,y2=7√(x2-x1)square+ (y2-y1)square√(5-3)square +(7-5)square√(2)square + (2)square√4+4√82√2answer is 2√2 2 under root 2 ...... |
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