InterviewSolution
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.
| 5101. |
सिद्ध कीजिए कि:\sin 105^{\circ}+\cos 105^{\circ}=\cos 45^{\circ} |
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| 5102. |
a S g litre: ¥ 1 e कक केक ककेकककअभी कहाबी बा चर... ००० % w;w’%;&ligi हक के के के2 litre‘mw |
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Answer» 1 ml = 0.001 litre 2000 ml = 2 litre 5000 ml = 5 litre 3600 ml = 3.6 litre 4050 ml = 4.05 litre |
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| 5103. |
base =20cm altitude =7.5cm |
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| 5104. |
1. Construct a square in which:(i) Perimeter is 20cm |
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| 5105. |
8. If rhombus of side 20cm has two angle of 600 each. Find the length of diagonals. |
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| 5106. |
ents which form an:65.7A man arranges to pay off a debt of 3600 by 40 annual instalments which form anarithmetic series. When 30 of the instalments are paid, he dies leaving one-third ofthe debt unpaid, find the value of the first instalment13. |
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| 5107. |
10. Round the following decimals according tothe accuracy stated below:a. 2764.5412 to two significant figuresb. 1344.7 km to the nearest 10 kmC.d.e. |
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Answer» a 2764.5412764.54 b.13451340km |
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| 5108. |
root 3= (up to 3 places of decimals |
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Answer» √3 = 1.732 |
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| 5109. |
he save in the llist mou7. A man arranges to pay off a debt of6000by 40 monthly instalmentswhich form an arithmetic series. When 30 of the instalments are paid,he dies leaving one-third of the debt unpaid. Find the value of the firstinstalment. |
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Answer» Let the first installments be aGiven that the installments are in AP.Let the common difference be dHence the installments are: a, a + d, a + 2d ………..40th termRecall the nth term of AP, tn = a + (n – 1)d⇒ t40 = a + (40 – 1)d = a + 39dSum of n term of AP, Given total debt = Rs 3600⇒ 20[2a + 39d] = 36002a + 39d = 180 → (1)It is also given that 30 installments are paid.Unpaid amount = one-third of Rs 3600 = Rs 1200Therefore total payment till 30 installments = 3600 – 1200 = Rs 2400Now, sum of 30 terms, = 15(2a + 29d)⇒ 15(2a+29d) = 24002a +29d = 160 → (2)Subtract (2) and (1), we get2a + 39d = 1802a +29d = 160-------------------- 10d = 20∴ d = 2Put d = 2 in equation (1)2a + 29(2) = 180⇒ 2a + 58 = 180⇒ 2a = 180 – 58 = 122∴ a = 618th installment, t8 = a + 7d= 61 + 7(2)= 61 + 14 = 75 |
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| 5110. |
OrA man arranges to pay a debt of Rs.3600 in 40 monthly installments which are in a AP.When 30 installments are paid he dies leaving one third of the debt unpaid. Find thevalue of the first installment17. Find the coordinates of the points of trisection of the line segment joining the points A, |
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| 5111. |
1. A man arranges to pay off a debt of Rs. 3600 by 40 annual installments which form an anthmeticseries. When 30 of the installments are paid he dies leaving a third of the debt unpaid. Find the value ofthe first installment. |
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| 5112. |
2. If the HCF of two numbers is 1, then the two numbers are called |
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Answer» natural number ............. natural numbers..... .........natural number..... natural number is the best answer co primes is correct it is simple - natural number |
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| 5113. |
(iv)Two numbers having only 1 as a common factor arecalled.. |
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Answer» Two numbers having only 1 as a common factor is called co-prime number Two numbers having only 1 as common factors are called to prime numbers |
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| 5114. |
ANS. Hence, x105.95°4In FigureIn Figure 10.25, if line segments PQ and RSintersect at point T such that ZPRT 40°,<RPT = 95° and <TSQ = 75°, find <SOT.4075°Fig. 10.25 |
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| 5115. |
7. If mLDEF 105, then what are mLFEG and mLHEG? The dlagram is not to scale.CMLFEG 75, MLHEG 115O MLFEG-75, MLHEG- 105mLFEG 105, mLHEG-75 |
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Answer» option C angle FEG = 180-105 = 75° angle HEG = 180-75 = 105° |
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| 5116. |
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of watecanit hold? (1 m3 1000/) |
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| 5117. |
1. The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm.How many litres of water can it hold? (1 m3 = 1000]) |
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| 5118. |
1m2 is equal to (a) 1 litre (b) 10 liters (c) 100 litres (d) 1000 litres |
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Answer» Answer)1000 litersExplanation:1liter=0.01m2Therefore 1m2=1000 liters |
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| 5119. |
Make three numbers to roundnearest. 1000 |
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Answer» 1. 9656 2. 9550 3. 9756 2)9656 2)9550 3)9756 |
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| 5120. |
5. दिए गए चित्र में 2 || m हो तो x का मान कितना हैme(a) 100°(c) 1100(b) 105(d) 1150 |
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Answer» x measures 105 degrees 180-65=115 because it is alternate angle 105° is correct answer. 105° is right answer . the answer is option (b) 110 is correct answer this questions ans is 105 x=105° is the answer. This is the XKaman Hal (b)=105° receive answer 105° is the correct and right answer 105° is the correct answer h X measures 105 degree 105 is correct answer 105 digri is correct answer (b) 105 is the answer of this question.. X=180°-65°=105° is right answer these questions |
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| 5121. |
Lesson 3Round Decimals* PracticeDIRECTIONS Read each question. The1 If a number is rounded to the nearesttenth, it rounds to 3.0. If the numberis rounded to the nearest hundredth,it rounds to 2.99. Which could bethe number?A2.890BCD2.9912.9953.001Isabella has some coins. To the nea |
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Answer» the answer could be a or d but i havent learned that yet cuz im in 5th grade but i just made some calculations the answer could be a or d but I haven't learned that yet cuz I'm in 5th grade but just made some calculations B. 2.991 is the correct answer 2.991 is correct answer B.2991 is the right answer |
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| 5122. |
Four angles of a pentagon are 120, 100°, 90 and 1100. Find its fifth angle咘啊ㄒˊ命戓あ 120°, 100°, 90° air 110° 히 TUTETT |
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Answer» Sum of interior angles in a Pentagon is 540.120+100+90+110+x=540x=540-420x=120° |
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| 5123. |
What should be added to -2/3 to obtain the nearest natural number? |
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Answer» The nearest natural number from any negetive number is 1 so, the number to be added with -2/3 to give 1 is -2/3 +x = 1=> x = 1+2/3 = 5/3 |
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| 5124. |
(c) Mr. Sharma invited 13,799 people to hisfunction. Rounding to the nearest 100,how many chairs should he order for? |
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Answer» ANSWER - 13800 as because the nearest number of 13799 is 13800 nearest number of 13799 is 13800 13800 is right ans bcoz 13799 is only its nearest no. 13800 is right answer the nearest number of 13799 is 13800. |
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| 5125. |
2. Round the numbers 8784358 to the nearest hundred, thousand and lakh3. Write the Roman number for 99 |
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| 5126. |
Im IIULIN.36. The H.C.F of given numbers can never be.............. than any of the numbers.37. Numbers having more than two factors arecalled .............. numbers. |
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Answer» composite is the answer of the following The H.C.F of given numabers can never be less than or equal to than any of the numbers 37.composite numabers 36. more than any of the numbers37. composite numbers more than any of the numbercomposite |
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| 5127. |
cremaller is 2. Find the numbers.[Hint. 3x = 4y + 5 and 6y = 4x + 2.]9AP2 is added to each of the two given numbers, then their ratio becomes 1: 2. However, if 4is subtracted from each of the given numbers, the ratio becomes 5:11. Find the numbers.[Hint. Let the given numbers be x and y. Then, -x+2 1x-45y +2 2y -4111. |
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| 5128. |
Find HCF and LCM of 404 and 96 and verify that HCRx LCM-product of the twogiven numbers. |
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Answer» 404=2*2*10196=2*2*2*2*2*3HCF=2*2=4LCM=2*2*101*2*2*2*3=9696LCM*HCF=Product of two given numbers4*9696=404*9638784=38784 |
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| 5129. |
produces 630 bulbs per day, find thĂŠ numbel r uei13. Find the ratio of the price of a pencil to that of a ball pen if pencils cost 96 per score andball pens cost 50.40 per dozen.ind its length if the width is 42 metres |
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Answer» The price of the pencils per score = ₹96=> the price of a pencil = ₹96/20= ₹4.8the price of the ball pens per dozen = ₹50.4=> the price of a ball pen = ₹50.4/12=₹4.2the required ratio = =(4.8×10)÷(4.2 ×10)= 48/10÷ 42/10=48/10 * 10/42=8:7 |
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| 5130. |
pluues USU ULUS per ty. Mu Le LE-13. Find the ratio of the price of a pencil to that of a ball pen if pencils cost 96 per score andball pens cost 50.40 per dozen. |
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Answer» 20 pencil=rs 961 pencil=96/20=4.8rs12 pens=50.4 rs1 pen=50.4/12=4.2 rsSo,pencil:pen=4.8:4.2=0.8:0.7 8:7 is the best answer |
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| 5131. |
方記さ22.5 cm x 10 crn × 7.5 cm |
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| 5132. |
-211. Find a quadratic polynomial whose zeroes areand/34 |
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Answer» The quadratic equation=x^2-(sum of roots)X+(product of roots)=x^2-(-2/√3+√4/4)X+(-2/√3*√3/4)=x^2-(-8+√12/4√3)X+(-1/2) |
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| 5133. |
progue OU Duits per day, and the number of defective bulbs produced cach day,13. Find the ratio of the price of a pencil to that of a ball pen if pencils cost 96 per score andball pens cost 50.40 per dozen.1.c. proEXAMPLE |
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| 5134. |
724+74 |
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Answer» 770+28790+8798 will be the answer |
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| 5135. |
5andFind three different irrational numbers between the rational numbers118. |
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Answer» part 1 part 2 |
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| 5136. |
8. Find three different irrational numbers between the rational numbers11 |
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| 5137. |
8.Find three different irrational numbers between the rational numbersand.11 |
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Answer» i) 5.010010001...../7ii) 5.020020002..../7iii) 5.030030003...../7 |
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| 5138. |
I. Evaluate :sin 18cos 7240 |
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Answer» sin 18/cos 22=cos(90-18)/sin(90-22) =cos 72/sin 68 |
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| 5139. |
273. How many zeros contained in 1001100 22434) Cannot be determinet5) of these |
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Answer» However, if your question is modified a little to "How many trailing zeros are there in 100!?" then we can definitely work it out. The only trick is to remember that a zero is created by the factor pair (2,5) as 2*5 = 5*2 =10. Therefore, it is necessary to count the number of 5s and 2s. One could possibly argue that the count of 5s alone or 2s alone might give us the result. But that would actually cause a problem by giving us an exaggerated or underestimated count of 0s. As it is possible that the count of 2s is greater or lesser than the count of 5s. So, the count of 0s in the end result would rather depends on the minimum count between the count of 2s and the count of 5s. 100! represents the product of all the natural numbers up to and including 100. Clearly, the count of 2s is more than the count of 5s. (Let me know if you could visualize it!) To count the number of 5s, we must note that there are 20 multiples of 5 among the natural numbers up to and including 100. Only these multiples can contribute 5!! It would be worth to note that 16 multiples of 5 would contribute one 5 each except 25, 50, 75 and 100. The reason to expel out these 4 multiples of 5 from the first group is that each of these multiples is a multiple of 25 too. That means each of these multiples contribute two 5s each. So, the total count of 5s = 16*1 + 4*2 = 16 +8 =24 Therefore, the total number of trailing 0s in 100! is =24 Otherwise the total count of 0s in 100! is30if all the 0s , not just the trailing 0s, are to be counted. |
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| 5140. |
2.Find the smallest number by which 3645 must be multiplied to get a perfect square. |
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Answer» lets multiply it by 5 so 3645×5=18225 which is square of 135so smallest number is 5. |
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| 5141. |
sum of zeros = 10product of zeros =10 find quadratic polynomial |
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Answer» Quadratic equation =x^2-(sum of roots)x+(product of roots)x^2-10x+10= 0this is the required equation wrong answer dear buddy now plx find its by solving the equation |
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| 5142. |
s Find the quadratic polynomial, the sum of whose zeros is 2 atheir product is-12. Hence, find the zeros of the polynomial.Let α and β be the zeros of the required polynomalj(x).Then, (α + β)-12 and αβ -12. |
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| 5143. |
x 5 .f(x)=+-(x5. X0) is increasing in |
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Answer» Typical question about like increase or decrease questions |
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| 5144. |
ПІС ПІСІь ипи ПС тос о се сушаеr.The sum of the height and radius of the base ofa solid cylinder is 37 m. If the total surface areaof the cylinder be 1628 m2, find its volume.The ratio between the curved surface area and the |
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Answer» Let radius of the cylinder= r mHeight = h mGiven (r+h)=37mTotal surface area= 2*pi*r(r+h)=16282*22/7* r*37=1628r=(1628*7)/(2×22×37)After cancellationr=7 mr+h =377+h=37h=30mi) csa of the cylinder=2*pi*r*h=2*22/7*7*30=1320 m^2Voume =pi*r^2*h=22/7*7*7*30=4620m^3 4620m^3 is the right answer Let r and h respectively be the radius and the height of the cylinder. We have: r + h = 37 m TSA = 1628 m2 2πr (h + r) = 1628 2πr(37) = 1628 r=(1628×7) /(2×22×37)=7m h=37-7=30m Volume of the cylinder =πr2h =22/7×7×7×30=4620m³ 4620 is the right answer 4620 is the right answer |
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| 5145. |
Find the zeros verify the relationship between the zeros and the coefficient of 3x2+7x+4 |
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| 5146. |
is 1.54 km. Fuule Ici7. The sum of the radius of the base and the height of a solid cylinder is37 metres. If the total surface area of the cylinder be 1628 sq metresits volume. |
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| 5147. |
foining the points (, u)1s. Show that the points (1. 7). (4, 2), -1, -1) and19. Find the zeros of the quadratic polynomialand verity the relationstGx2 3-7xzeros and the coefficients.If α and β are the zeros of the polynomial 6y:-Ty + z,quadratic polynomial whose zeros areandra0./ In Fig. 3, DelloQ and DF 11 OR, show that EFIIQR.ORd of a parallelogram |
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Answer» ∆PQR s ED || QO .°. PD/DO = PE/EQ ( from formula )-------(1) ∆POR s DF || OR .°. PD/DO = PF/FR ( from formula )........(2) from (1) and (2) we get PE/EQ = PF/FR .°. EF || QR |
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| 5148. |
Find the zeros of 5x^2 - 8x-4 and Verify the relationshipbetween the zeros and coefficients? |
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| 5149. |
Find three different irrational numbers between the rational numbers 5 and 9.7 11 |
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Answer» 5/7, 9/11 is the correct answer of the given question |
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| 5150. |
Find three different irrational numbers between the rational numbers 5/7 and 9/11. |
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