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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.
| 69001. |
A wire of diameter 2.5mm is wrapped around a cylinder af height 8.0cm and diameter 7cm, suchcurved surface area of cylinder is fully covered. Calculate length of the wire80 |
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| 69002. |
ncert |
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Answer» National Council of Educational Research and Training |
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| 69003. |
the cylinder is 1628 cm2. Find the heigat all le UThe ratio between the curved surface and total surface of a cylinder is 1 : 2. Find theWolume of the cylinder, given that its total surface area is 616 cm2 |
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Answer» hit like if you find it useful |
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| 69004. |
Find the right and left hand limis o tif xsiat a sl |
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| 69005. |
- ‘%—-“ ! [NCERT |
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| 69006. |
5. Construct a 3 × 4 matrix, whose elements are given byI-3i +j|2a,-217/(İ)ai.(i) |
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| 69007. |
has 5 elements?Construct a 2 × 2 matrix, A = [a], whose elements are given by:tn2(iii)a,--(ii)a,-ー |
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| 69008. |
13.45( ) 7 + Vਤ) 07 (5)| 3) ( 17 ) 4 (V7+) . |
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| 69009. |
7+4/3V7-/ then x2(x - 14)243 |
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| 69010. |
Find the magnitude in radian and degree of the interior of a regular pentagon: A |
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Answer» If you had a dare then solve my all post with in 2 hour |
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| 69011. |
draw a regular pentagon of side 4 cm and triangle of same area.find the area |
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Answer» area of the Pentagon 5 side×4cm=> 5×4=20 the correct answer is 20 |
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| 69012. |
Example 6. The lengthand the data obtained is represented in the following tableof 10 leaves of a plant are measured correct to the nearest millimFind the median length of the leaves.INCEStatistics | 493Length (in mm)118-126127-135136-144145-153154-162163-171172-180Number of leaves122 |
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| 69013. |
e em(2) A piece of chcese is cut in the shape of a sector of a circle ofradius 6 cm. The thickness of the cheese is 7 cm. Find: () The7cmcurved surface area of the cheese. (ii) The volume of the cheesepiece. |
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| 69014. |
4. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and-26 cm. Thearea of the circle is l-7(a) 125 cm2(b) 308 cm(c) 550 cm2(d) 616 cm2 |
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Answer» Perimeter of rectangle= 2(l+b) =2(18+26) =2(44) =88 Perimeter of circle =2πr 2×22/7×r =88r= 2×7 =14 cmArea =πr^2= (22/7)×14×14=22(2)(14) =22(28)=616 cm^2. |
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| 69015. |
आा* 63%+ डा” 27%?V) cos’17° + cos® 73°Sl . ey el e M o Sl |
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Answer» Like my answer if you find it useful! |
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| 69016. |
व._/ दं that the area of an equilatéral triangle described on one side of the square 18alf the area of the equilateral triangle described on one of its diagonal. |
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| 69017. |
EXAMPLE9 Prove that the area of the equilateral triangle described on the side of a squaarea of the equilateral triangle described on its diagonal.reishalftheNCERT |
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| 69018. |
xample 19 Prove that the area of the equilateral triangle described on the side of a squareis half of area of the equilateral triangle described on its diagonal |
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| 69019. |
A-2. A3x 2 matrix whose elements are given by a,2i-j is1 21(1 3 21 21(3) 3 -24(2) 1 1(4) 3 203 |
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| 69020. |
Choose the correct answer.1. If x = and = p v7, then the value of pis |
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Answer» 25/7 is right answer 25 upon 7 is the correct answer |
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| 69021. |
ick()thecorrectanswer:1.The sum of ll interior angles of a regular pentagon is : |
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Answer» The sum of the measures of the interior angles of a polygon with n sides is (n – 2)*180 For pentagon n = 5 Then sum of interior angles of pentagon= (5-2)*180= 3*180= 540 |
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| 69022. |
1- The diameter of the circle is 30 cm. Find the circumference to the nearest mm.Hint:1 cm- 10 mm)1FS |
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Answer» wrong |
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| 69023. |
of ductile metal is in the form of a cylinder of diameter 1 em and length1s drawn out into a wire of diameter 1 mm. What will be the length of the wire so obtained?A piece11 em. It is |
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| 69024. |
its hypotenuse.The lengths of the sides of some triangles are given below. Which of them a7.(1) a = 15 cm, b = 20 cm and c = 25 cm(i1) a 9 cm, b 12 cm and c-16 cm(iii) a 10 cm, b 24 cm and c 26 cmCID |
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| 69025. |
17. Prove that the area of an equilateral triangle described on one side of a square is equal to haltthe area of the equilateral triangle described on one of its diagonals. y |
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Answer» Here ABCD is a square, AEB is an equilateral triangle described on the side of the square and DBF is an equilateral triangle described on diagonal BD of the square.To Prove: Ar(ΔDBF) / Ar(ΔAEB) = 2 / 1Proof: If two equilateral triangles are similar then all angles are = 60 degrees.Therefore, by AAA similarity criterion,△DBF~△AEBAr(ΔDBF) / Ar(ΔAEB) = DB^2/ AB^2 --------------------(i)We know that the ratio of the areas of two similar triangles is equal tothe square of the ratio of their corresponding sides i .e.But, we haveDB=√2AB {But diagonal of square is√2times of its side}-----(ii).Substitute equation (ii) in equation (i), we getAr(ΔDBF) / Ar(ΔAEB) = (√2AB)^2/ AB^2 = 2 AB^2/ AB^2= 2∴ Area of equilateral triangle described on one side os square is equal to half the area of the equilateral triangle described on one of its diagonals. |
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| 69026. |
examination was held in two parts. Of the 630 examinees, appeared in onlypart and appeared in only the second part. The rest appeared in both the parts. FindThe number of examinees who appeared in both the parts. |
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Answer» Examiners appeared in first part only=3/10*630=189Examiners appeared only in second part =2/15*630=84Thus examiners appeared in both=630-(189+84)=630-273=357... 1st exam=3/10×630=1892nd exam=2/15×630=84so,examiners who appeared in both=630-(189+84)630-273=357 1st exam=3/10*630=1892nd exam=2/15*630=84Both=630-(189+84)=630-273=357 |
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| 69027. |
. Prove that the area of an equilateral triangle described on one side of a square is equal ato half the area of the equilateral triangle described on one of its diagonals. |
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| 69028. |
Prove that the area of an equilateral triangle described on one side fa square is equal to half the area of an equilateral triangle describedon one of its diagonals.CBSE 2005C] |
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| 69029. |
Prove that the area of an equilateral triangle described on one side of a square is equalto half the area of the equilateral triangle described on one of its diagonals.ick the correct answer and justify: |
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| 69030. |
1. Velocity, density and Acceleration are known as(A) Fundamental quantities (B) similitude(C) derived unit (D) Sl unit |
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Answer» Velocity , density and Acceleration are known as derived units. If you find this answer helpful then like it. |
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| 69031. |
4. If $ \left(x^{2}+\frac{1}{x^{2}}\right)-4\left(x+\frac{1}{x}\right)+\frac{23}{4}=0, $ find $ \left(x+\frac{1}{x}\right) $5. If α, β and γ are the roots of the equationx^{3}-4 x^{2}+6 x-4=0, \text { the value of } \frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{y} is _______ |
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| 69032. |
13 \text { if } x + \frac { 1 } { x } = 4 , \text { then find } x ^ { 4 } + \frac { 1 } { x ^ { 4 } } |
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Answer» x+1/x = 4 => (x²+1/x² +2*x*1/x) = 4²=> x²+1/x² + 2 = 16=> x²+1/x² = 16-2 = 14=> (x²+1/x²)² = 14²=> x⁴+1/x⁴ +2 = 196=> x⁴+1/x⁴ = 196-2 = 194 |
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| 69033. |
15. A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 1 em. It isdrawn out into a wire of diameter 1 mm. What will be the length of the wire so obtained?16. A solid cuba |
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| 69034. |
Tickthe correct answer1. A line has(a) a fixed length(b) zero length(c) an infinite length(d) none of the above |
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Answer» A line has infinite length. |
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| 69035. |
16The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550cmFind its radiusa) 10 cmb) 5 cmc) 6 cmd) 12 cm |
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| 69036. |
maths |
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Answer» Mathematics includes the study of such topics as quantity, structure, space, and numbers.It is often shortened to maths or, in North America, math. |
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| 69037. |
cost of 15 pencils is equal to the cost of 5 pens if cost of one pen is Rs30 find the cost of 7 pencils and four pen. |
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Answer» 15 Pencils = 5 Pens 3 Pencils = 1 Pen One pen is of 30 so 1 Pencil is of 30/3 = 10 Cost of 7 Pencil and one Pen = 7(10) + 30 = 100 |
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| 69038. |
who appeared lur edanimathon9. The expenditure made on a dress is? 2050, 20% of the expense was on embroidery, 50% on clothand remaining on the stitching. Find the money spent on stitching. |
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Answer» Remaining percentage = 100 - 50 - 20 = 30 % Money spent on stitching = 30% of expenditure= 2050 x 30/100= 2050 x 3/10= 205 x 3= Rs 615 |
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| 69039. |
is drawing a monthly salary of 45,000. If 15000 is spent every month on repayment of awhat per cent of her salary is she spending on repayment? If 24% of the remaining salaryon food, find the expenditure on food. |
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Answer» thank u so much |
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| 69040. |
46. Pour equal cireles ore described ot thefour lorners of a square ) that eachtoucheg two of the others. The shadedarea enclosed between the circles isem2, Find the radius of each cireleCBSE 2018 |
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Answer» Shaded area = area of square - sum ofareasof 4 quadrantsLet the radius of circle be r cmthen side of square will be 2r cmA/q24/7 =(2r)² - 4×(1/4)×πr² =4r² - 22/7 r²⇒24/7 = 6r²/7⇒r² =4⇒r =2 cmhence , the radius of each circle is 2 cm Please like the solution 👍 ✔️👍 |
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| 69041. |
Write the numerals for each of the following as shown in the exampleExample: One hundred fifty three 153(a) Five hundred twenty two(b) Seven hundred one(c) Six hundred twenty two(d) Six hundred thirty(e) Seven hundred ninety nine |
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Answer» a . 522 b . 701c . 622 d . 630e . 799 a. 522b.701c. 622d.630e.799 a)522b)701c)620d)630E)791 a.520b.701c.622d.630e.739 sorry last answer e.79o last one 799 again sorry |
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| 69042. |
1. Find out the area of the following figuresD 2 cmF 3 m6 cm E8 m8 cmGrěI 2 m |
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| 69043. |
119. Pive sticks of length 1, 3, 5, 7 and 9 feetare piven. Three of these sticks areselected at random What is theprobability that the selected sticks canform a triangle?0:3 |
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Answer» (c) 0.3 |
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| 69044. |
6 Observe the measures of pots in the givenfigures. How many jugs of water can thecylindrical pot hold ?3.5 cm10 cm10 cm7,cmConical water jugCylindrical water pot |
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Answer» Volume of cylindrical water pot Vc = pi*7*7*10 Volume of conical water jugVcone = 1/3*pi*3.5*3.5*10 Let cylindrical pot can hold n jug of water Hence,Vc = n*Vconen = pi*7*7*10/ (1/3)*pi*3.5*3.5*10n = 3*2*2 = 12 Therefore cylindrical pot can hold 12 jugs of water. |
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| 69045. |
Chala spends his monthly salaryas follows: ÄŻ of the salary onfood, of the remainder on rentand saves the rest. If he spendssh 6 000 on rent, how much doeshe earn? |
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Answer» Let Chala earn total money monthly be x Then,Money he spend on food = 2x/3 Then, ,Money he spend on rent= 1/4(x - 2x/3)= x /12 Hence, x/12 = 6000x = 72000 Therefore, Chala total salary = sh 72000 |
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| 69046. |
117-Rahim spends 60% ofhis monthly salary on rentand miscellaneous expenses in the ratio of2 fh 16050 on rent and EMI togethere spends a total ofhow much is his monthly salary?1)で503004尺535002)K4960035尺54500) 46750 |
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Answer» Rent : EMI : miscellaneous = 2:1:3 16050/3 = 32100 32100/60 * 100 = 53500 Salary = Ra. 53500 Hit like if you find it useful! can u explain dear plz explain |
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| 69047. |
TURGUI Sall COST?Rohan spends 243 on petrol in 3 weeks. Howmuch does he spend on petrol in a year? |
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Answer» rohan spends on petrol in one year 4223.57 3weeks=2431week= 8152week= 81×52 4212 In three weeks number of days = 7*3 = 21 daysNumber of days in a year = 365days So,Rohan spends on petrol in 21 days = 243 Rohan spends on petrol in 1 day = 243/21 Therefore,Rohan spends on petrol in 365 days = 365 * 243/21= 88695/21= Rs 4223.5 |
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| 69048. |
Out of his total income, Karan spends 20% on house rent and 60% of the remaininghousehold expenditure. If he saves 2400, what is his total income? |
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Answer» Let his monthly income be x.House rent = 20% of x = x/5.Rest money = x-x/5 = 4x/5.Household expenses = 60% of 4x/5= 12x/25.Rest money = 4x/5 -12x/25 = 8x/25.As per the question,8x/25 = 2400i.e. x= 7500So, Monthly income = Rs 7500. Thank you sir u r brilliant |
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| 69049. |
8÷88 |
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Answer» 8÷88 = 1/11 = 0.0909 |
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| 69050. |
4+88 |
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Answer» Here is your answer:- 4+88=92 |
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