This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1051. |
Solve and check (5) a. 5(z – 3) = 3(z + 2) b. 3 + 3−8 2 = 4−3 3 |
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Answer» Answer: Given system of linear equations are 2x+3y+3z=5 x−2y+z=−4 3x−y−2z=3. Represent it in matrix form ⎣ ⎢ ⎢ ⎡
2 3
3 −2 −1
3 1 −2
⎦ ⎥ ⎥ ⎤
⎣ ⎢ ⎢ ⎡
x y z
⎦ ⎥ ⎥ ⎤ = ⎣ ⎢ ⎢ ⎡
5 −4 3
⎦ ⎥ ⎥ ⎤ which is in the form of AX=B A= ⎣ ⎢ ⎢ ⎡
2 1 3
3 −2 −1
3 1 −2
⎦ ⎥ ⎥ ⎤
∣A∣=10+15+15=40 =0 ∴ A −1 exists To find adjoint of A A 11 =5,A 12 =5,A 13 =5 A 21 =3,A 22 =−13,A 23 =11 A 31 =9,A 32 =1,A =−7 ADJ(A)=co-factor ⎣ ⎢ ⎢ ⎡
5 3 9
5 −13 1
5 11 −7
⎦ ⎥ ⎥ ⎤
= ⎣ ⎢ ⎢ ⎡
5 5 5
3 −13 11
9 1 −7
⎦ ⎥ ⎥ ⎤
A −1 = ∣A∣ 1 Adj(A) = 40 1
⎣ ⎢ ⎢ ⎡
5 5 5
3 −13 11
9 1 −7
⎦ ⎥ ⎥ ⎤
X=A −1 B = 40 1
⎣ ⎢ ⎢ ⎡
5 5 5
3 −13 11
9 1 −7
⎦ ⎥ ⎥ ⎤
⎣ ⎢ ⎢ ⎡
5 −4 3
⎦ ⎥ ⎥ ⎤
X= 40 1
⎣ ⎢ ⎢ ⎡
25−12+27 25+52+3 25−44−21
⎦ ⎥ ⎥ ⎤
X= 40 1
⎣ ⎢ ⎢ ⎡
40 80 −40
⎦ ⎥ ⎥ ⎤
⎣ ⎢ ⎢ ⎡
x y z
⎦ ⎥ ⎥ ⎤ = ⎣ ⎢ ⎢ ⎡
1 2 −1
⎦ ⎥ ⎥ ⎤
Hence, x=1,y=2 and z=−1 |
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| 1052. |
Find the volume if the radius of the base of the cylinder is 21 meters and the height is 14 meters.Find the volume if the radius of the base of the cylinder is 21 meters and the height is 14 meters? |
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Answer» Answer: 19404m³ Step-by-step EXPLANATION: Volume=πr²h =(22x21x21x14)/7 =135828/7 =19404m³ |
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| 1053. |
Find 2 irrational number between 3 and 4pls help really important |
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Answer» ⇒ Two irrational NUMBERS between 3 and 4 are √11 and √13. Step-by-step explanation: HEY will you be my FRIEND please? my pin id : mongimaple what's your? |
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| 1054. |
If -6 and 3 are zeroes of the quadratic polynomial x² + (a+1)x + b, then a and b are:- |
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Answer» GIVEN that, We KNOW that, ALSO, ADDITIONAL INFORMATION :- |
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| 1055. |
A round brass bar is 5m long and 14mm in radius, calculate its volume in cm^3 |
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Answer» Answer: Volume of brass bar = 3080 cm³ |
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| 1056. |
Two chips are taken out of a bag at random (one chip at a time) and without replacement (without replacement means that if you take a chip out of the bag, you leave it outside of the bag!). The bag originally contains two red chips and two blue chips. a. Given that the first chip is red, what is the probability that the second chip is blue? a. What is the probability that both chips are blue? b. What is the probability that the first chip is red and the second chip is blue? c. Would these results change if the two chips were taken out with replacement |
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Answer» Answer: Step-by-step EXPLANATION: SAMPLE Space S={2R,2B} i.e N(S)=4 Given That 1st Chip Is RED New Sample Space Is S1={1R,2B} i.e n(S1)=3 Probability That Second Chip Is Blue Is=2/3 (a)Both Chips Blue=2/4*1/3=2/12=1/6 i.e 16.6% (b)1st Chip Red And Second Chip Blue:1/2*2/3=1/3 i.e 33.3% Yes These Result WOULD Change If The Two Chips Would Take Out With Replacement |
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| 1057. |
If 1000 rupees is invested at an annual rate of interest of 15% what is the amount after 5 years if the compounding takes place monthly? |
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Answer» Answer: Step-by-step EXPLANATION: AT1 Gautamiputra Satkarni was the king of the SATVAHANA dynasty. * मी सही True ठालउ गलत FFalse please MARK me brainlist |
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| 1058. |
Plz solve question 3rd |
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Answer» Step-by-step EXPLANATION: |
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| 1060. |
in a co-educational school,45% of the total potatoes and still has 150kg potatoes left with him. find the weight of potatoes he had originally |
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Answer» Percentage SOLD = 70% Percentage not sold = 100 - 70 = 30% Find the ORIGINAL weight of the potatoes: Percentage left = 30% Potatoes left = 150 kg 30% = 150 1% = 5 100% = 5 x 100 = 500 potatoes Answer: There were 500 potatoes originally correct me if im wrong:) |
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| 1061. |
What is the order of surd of under root 39 |
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Answer» Answer: 2 Step-by-step EXPLANATION: The root is CALLED the order Here, its SQUARE root Hence order = 2 Hope it helps Please MARK as brainliest |
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| 1062. |
48. The HCF of 2472. 1284 and a third number N is 12. If their LCM is 243 x 3^2 x 5 x 103 x 107, then the number Nis: * 0 (a) 242x342x7 (b) 242 x 343 x 103 O (c) 242 x 3^2x5 O (d) 244 x 342 x II |
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Answer» hiiiiiiiiiiiiiiiiiiiiiiiiiiijiiiiiiiiii Step-by-step EXPLANATION: nehak |
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| 1063. |
All counting numbers, Together with their negative and zeros constitute a set of? |
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| 1064. |
Tomorrow i have a math test of class 8th, can anyone send the important questions and answers of ch rational numbers, square roots and cube rootsThe one who will answer the best I will surely mark him brainliest |
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| 1065. |
-8 x [(-3) + (-2)] please answer |
Answer» -8 X [(-3) + (-2)] = 40Step-by-step EXPLANATION: hope it helps |
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| 1066. |
Substranct: 4a-7ab+12 from 12a-9ab+5b-3 |
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Answer» Answer: 12a - 9AB + 5b - 3 4a. -7AB. +12 (-). (+). (-) |
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| 1067. |
mr. pritesh ordered x mobile phones p=2x+32/x square -5/x how many mobiles should he order for the most economical deal |
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Answer» xgjjtldtdilitldiyldilyldlyipdpitdpitdtidpoitd |
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| 1068. |
77. यदि cot e =8तो (1)(1 + sin O) (1 - sin e), (ii) cote का मान निकालिए?(1 + cos e) (1 - cose) |
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Answer» Step-by-step EXPLANATION: have a good DAY |
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| 1069. |
The numbers 1 to 10inclusive are placed in a hat . Irene takes a number out of the hat without looking. What is the probability that she draws the number 10 |
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Answer» favourable outcomes=1 probability=1/10=0.1 ..answer |
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| 1070. |
To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?PLEASE TELL ME TOMORROW IS MY EXAM |
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Answer» Step-by-step explanation: Cloth required to stitch ONE SHIRT = 2m 15cm 2\times100\ +152×100 +15 = 215 cm Total cloth available = 40m = 4000cm No. of SHIRTS that can be stitched = 4000\div215\ =\ 184000÷215 = 18 Therefore, 18 shirts can be stitched from 40m cloth and 130CM cloth will be left. Please mark me as brainliest!! |
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| 1071. |
Anu took a loan of 5000rs from a bank to start a vegetable shop.she paid back 450rs every month for one year. how much money did she back to the bank? |
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Answer» Answer: Step-by-step explanation: |
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| 1073. |
What is the smallest number that can be divided exactly by 5 and 9 |
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Answer» Step-by-step EXPLANATION: The lcm of 2 to 9 i.e., =lcm of 2,3,4,5,6,7,8,9 =2520 |
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| 1075. |
The sum of two rational numbers is9/16⁄ . If one of them is , find the otherno. |
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| 1077. |
V V V3 3.3Find the shortest distance from the origin to the hyperbola x + 8 xy + 7y2 = 225.be the distance of thefrom |
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Answer» Answer: Substituting in hyperbola we GET 45x2=225. So that x2=5 and SINCE y2=4x2 we get y2=20. Hence x2+y2=25. Thus required shortest distance is 5. Step-by-step EXPLANATION: |
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| 1078. |
Find the degree of x³y²+4x²y²+3xy³+6 |
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Answer» Answer: 5 MARK me as the BRAINLIEST |
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| 1079. |
the notation used is as follows u=find velocity u find velocity=a= acceleration displacement IN =time (table) |
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Answer» Answer: Displacement (s) of an object equals, velocity (u) times time (t), PLUS ½ times ACCELERATION (a) times time squared (T2). Use standard GRAVITY, a = 9.80665 m/s2, for equations involving the EARTH's gravitational force as the acceleration rate of an object. Step-by-step explanation: Hope that helps you |
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| 1080. |
Please solve the problem and I will mark u as brainy ans |
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Answer» Step-by-step EXPLANATION: REFER to the ATTACHMENT for answer hope it HELPS |
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| 1081. |
Expand the following:104² |
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Answer» |
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| 1082. |
Rubina plants 5 roses in a row in her garden. If the distance between two adjacent roses is 3/5m, find the distance between the first and last roses???With process |
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| 1083. |
4+24÷4×3 by dmasplz send me a pic |
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Answer» Answer: 22 |
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| 1084. |
If A { 1,2,3,4,5 } B ={ 2,4 } then A intersection B =? |
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Answer» Step-by-step EXPLANATION: A INTERSECTION B={1,3,5} |
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| 1085. |
Simplify :- - (√2+3)(√2-3) |
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Answer» dhhdhehwyhshzhzuzususyusisdudidie9eojsigsuvsivs |
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| 1086. |
Give one example each of a binomial of degree 35, and of a monomial of degree 100 |
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Answer» Step-by-step EXPLANATION: MONOMIAL = g100 |
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| 1087. |
If a b c are three collinear points name all the line segment determined by them |
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Answer» Answer: |
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| 1089. |
1 पॉइंट 38 का भी वकील के रूप में हल निकाले |
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Answer» SORRY I don't UNDERSTAND HINDI |
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| 1090. |
11. In an election being contested by two candidates, one candidate got 15% ofthe valid votes while 20% of the votes were declared invalid. How manyvotes did the other candidate get? Who won the election and by how much?If the total number of votes polled were 8500, how many votes were invalid! |
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Answer» Answer: invalid VOTES - 20/100 × 8500 = 1700 votes valid votes % - 100 - 20( invalid) = 80% valid votes 80/100 × 8500 = 6800 votes 1st CANDIDATE = 15/100 × 6800 = 1,020 votes 2nd candidate = 85/100 × 6800 = 5,780 * 2nd candidate won by majority of 4,760 votes. |
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| 1091. |
Find all the four zeroes of the polynomial 2x^4+x^3-5x^2-2x+2 |
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| 1092. |
(5)Compute the weighted arithmetic mean. Of the Index number from the following data-Weight Group10Index Number12513015086(Food)(Clothing)(Hous Rent)( Fuel andLight)(Miscellaneous)14041602 |
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| 1093. |
Express the equation in form of ax+by+C =0 and indicate the values of in x/2-y/3+(-1/6+y)=0 |
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Answer» Answer: Express the following linear EQUATIONS in the form ax+by+c=0 and indicate the values of a,b and c in each case: (i) 2x+3y=9.35 (ii) x−5y−10=0 (iii) −2x+3y=6 (IV) x=3y (v) 2x=−5y (vi) 3x+2=0 (vii) y−2=0 (viii) 5=2x Step-by-step explanation: I hope it is helpful for U Agar helpful hua to PLZ drop me some thanks plz |
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| 1094. |
2) Prove that 3 + 5 is an irrational number. |
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Answer» Answer: Kindly allow me a minute or two ⌚ to check for relevant answers to your question. Please be online. √3 + √5 = a/b On squaring both sides we get, (√3 + √5)² = (a/b)² √3² + √5² + 2(√5)(√3) = a²/b² 3 + 5 + 2√15 = a²/b² 8 + 2√15 = a²/b² 2√15 = a²/b² – 8 √15 = (a²- 8b²)/2b a, b are integers then (a²-8b²)/2b is a RATIONAL number. Then √15 is also a rational number. But this contradicts the fact that √15 is an irrational number. Our assumption is incorrect √3 + √5 is an irrational number. Hence, proved. Step-by-step explanation: hope u have been UNDERSTOOD mark me as BRAINLIST |
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| 1095. |
Please me and i will back |
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Answer» Step-by-step explanation: Nanotechnology is the understanding and control of matter at the nanoscale, at DIMENSIONS between approximately 1 and 100 NANOMETERS, where unique PHENOMENA enable NOVEL applications. |
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| 1096. |
Please provide step by step answer class 10 maths |
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Answer» Answer: X = a^2 , y = b^2 Step-by-step explanation: I HOPE you will get it... PLEASE add my answer as BRAINLIST..... THANK YOU |
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| 1097. |
Q=1. Da as directed : Divide : (5x² - 6x) + 3x |
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| 1098. |
What is the answer of (-1)⁴ |
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Answer» FOLLOW this ATTACHMENT |
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| 1099. |
Prove the (1+w²)³=-1 |
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Answer» Step-by-step EXPLANATION: We have, We KNOW, so, Now, |
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| 1100. |
Guys please help me this question with explanation |
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Answer» CHECK the ATTACHMENT !! |
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