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.
| 5351. |
Vrite the smallest 4-digit number using :(b) different digits |
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| 5352. |
15. Write all 3-digit numbers using , UTWe the smallest number of different digits formed by using the digits 3. 1.0.5 andt number of different digits formed by using the digits 2.4.0.36 and a |
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| 5353. |
A number of different seven digit numbers that can be written using only three digits 1, 2 & 3 under thecondition that the digit 2 occurs exactly twice in each number, is(A) 672(B) 640(C) 512(D) none of these |
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Answer» There are 7 total places. 2 is used only twice. Do select any 2 position. So 7c2 Remaining places have 2 possibilities each (1 or 3) So 2^5 TOTAL=7c2 * 2^5=672 |
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| 5354. |
11. Write the smallest 4-digit number using:(a) only three digits |
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Answer» 1000 is the right answer |
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| 5355. |
oFind the mode of the following frequency distribution:4-88-12 12 16 16-20 20-24 24-28Classen3910417What does the mode of a data suggest in a survey? |
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Answer» thanks |
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| 5356. |
The number of values of 0 which lie between 0 and and satisfy the equation sints -2 sine- 0 is:(A) I(B) 2(C) 3(D) of these |
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Answer» option a is correct as; |
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| 5357. |
Find arational no between hands |
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| 5358. |
4_4_4_4=20using signs ÷,+,×,- |
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Answer» The answer is as follows- [(4÷4)+ 4]×4=20 = (1 + 4)×4= 5×4= 20 |
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| 5359. |
Try these aWrite the following numbers withappropriate signs:(a) 100 m below sea level.(b) 25째C above 0째C temperature(c) 15째C below 0째C temperature.(d) any five numbers less than 0 |
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Answer» a) 100 m below so -100m b) 25 C above so +25 c) 15 C below so -15 d) five number less than 0 -1,-2,-3,-4,-5 |
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| 5360. |
Represent the following numbers as integers with appropriate signs.(a) An aeroplane is flying at a height two thousand metre above the ground.(b) A submarine is moving at a depth, eight hundred metre below the sealevel.(c) A deposit of rupees two hundred.(d) Withdrawal of rupees seven hundred.2. |
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| 5361. |
Q29: Using step-deviation method, calculate the arithmetic mean of the following grouped distribution.Class10-30 30-50 50-70 70-90 90 110 110-130 TotalFrequency5122050 |
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| 5362. |
wo years1.400. Find the averaglper vear7. Estimate the following.of5900b)39% of 7100a) 31%14it bought a laptop for25,000. Hespent 6,000 on upgradeand then sold itfor 335,000. Find his,profit per cent.8. RonMultiple Choi1. The numbers constituting a ratio are called |
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Answer» Total CP = 25000 + 6000 = 31000 SP = 35000 Profit percentage = (35000-31000)*100/31000 = 4*100/31 = 12.9% If you find this answer helpful then like it. |
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| 5363. |
3There are people in a room. Each person shook hands with each other only once. Find the totalnumber of handshakes that took place.[AL 10[B] 6C] 8ID 15 |
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Answer» Total handshakes= 6*5/2= 15 |
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| 5364. |
3.There are 6 people in a room. Each person shook hands with each other only once. Find the totalnumber of handshakes that took place.[A] 10[B] 6[C] 8[D] 15 |
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Answer» Here n= 6 n-1= 5so total hand shakes= 6*5/2= 15 answer is 15. this is the correct answer d) 15 is the correct answer |
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| 5365. |
20. A rope of lengthm3 yun 3 Divau,has been cut into 13 pieces of equal length. What is the length of each piece? |
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Answer» Lenth of rope=169/2m=84.5mCut into 13 equal piecesSo lenght of each rope=84.5/13=6.5m |
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| 5366. |
8.m long rope is cut into equal pieces, each measuring177there?How many such small pieces are[NCERT Exemplar] |
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Answer» 177 1/3=552/3; 22/3; 552/3× 3/22=552/22=27.5 |
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| 5367. |
32s. Find the profit per cent he made.A man buys a radio set for900 and sells it forper cent?972. What is his profit or loss |
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Answer» Here selling price is more than cost price. Therefore, Profit % = ((SP-CP)/CP) * 100 = ((972-900)/900)*100 = 8% |
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| 5368. |
A chair is purchased for 700 and sold for570. Find gain or loss per cent. A man purchased a sewing machine for 1250 and spent 250 on its transportation. He sold it for1600.Find his profit per cent. |
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Answer» tysm |
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| 5369. |
Find S.P., when:(a) CP," Rs 50, profit per cent7% |
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| 5370. |
2. Four dozen ballpens were purchased at * 1.50 per ballpen. The profitselling these was 12. What is the profit per cent? |
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Answer» profit per cent = (12/72)*100=50/3 is the correct answer 🏆 🏆🏆 50/3 % is the best answer |
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| 5371. |
rice of 18 eggs is the same as theselling price of 16 eggs. Find the profit per cent.4. The cost pBy selling a table for 675, a carpenter loses 10%.If he sells it for 825, find his gain or loss percent.A shonkegnon u |
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| 5372. |
A shopkeeper purchases 11 knives inpolcellthem at the rate of 10 knives for10 and sellsprofit of -11. He earns a(A) 11 per cent(B) 15 per cent(C) 20 per cent(D) 21 per centAftu. |
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Answer» 20 a answer is the correct Cp of one knife= 10/11 Suppose he bought (11*10) = 110 chocolateCP = 10/11 * 110 = Rs. 100SP = 11/10 * 100 = Rs. 121Gain 21% Option D 11% is right answer 20% percent |
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| 5373. |
ter1. Tell what is the profit or loss in the following transactions. Also find profitper cent orloss per cent in each case.(a) Gardening shears bought for 250 and sold for7325.(b) A refrigerater bought for? 12,000 and sold at ? 13,500.(c) A cupboard bought for2,500 and sold at 3,000.(d) A skirt bought for 250 and sold at 150. |
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| 5374. |
15. Present the following as an ordinary grouped frequency table304060Marks (below)Number of students 51020125032 40 45 48 |
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| 5375. |
In a hostel, there were enough provisions for200 students for 45 days. 5 days later40 students left the hostel. How many days willthe remaining food last? |
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| 5376. |
2. Express each of the following ratios in simplest form:(i) 75 paise : 3 rupees(ii) 1 m 5 cm : 63 cm(iv) 8 months : 1 year(vi) 1 km : 750 m(ili) 1 hour 5 minutes : 45 minutes(v) (2 kg 250 g) : (3 kg) |
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| 5377. |
Net national product and Net domesticproduct. |
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Answer» Thenet domestic product(NDP) equals the grossdomestic product(GDP) minus depreciation on a country's capital goods.Net domestic productaccounts for capital that has been consumed over the year in the form of housing, vehicle, or machinery deterioration. Net national product refers to gross national product, i.e. the total market value of all final goods and services produced by the factors of production of a country or other polity during a given time period, minus depreciation. Similarly, net domestic product corresponds to gross domestic product minus depreciation. |
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| 5378. |
Show that a skew-symmetric matrix of odd order is aways singular. |
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Answer» Let, A be a skew-symmetric square matrix ofn×n, where n is odd, By general properties of determinants, det(A)=det(A^T)…(i) However, since A is a skew-symmetric matrix where aij=−aij(i,j are rows and column numbers ), ∴∴In case of skew-symmetric matrix, A^T=−ANowdet(−A)=det(A^T)But,det(−A)=(−1)^ndet(A) where n is no. of rows/columns in a square Matrix. ∴det(A^T)=(−1)^n∵n is odd,(−1)°n=−1∴det(A^T)=−det(A)...iiSubtractingequation(ii)from(i),∴2det(A)=det(A^T)−det(A^T)=0∴det(A)=0 Hence matrix A is singular.... By definition of singular matrix Hence proved. |
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| 5379. |
25.Prove that the inverse of a non singular matrix A is symmetric. |
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Answer» Yes. The inverseA−1A−1of invertible symmetric matrix is also symmetric |
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| 5380. |
1. If A is a singular matrix, then write the value of A.55-8 +17. |
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| 5381. |
date:page |
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| 5382. |
!DatePage |
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Answer» 16(a+b)² -9(a-b)²[4(a+b)]² - [3(a-b)]² = [4a+4b -3a+3b]× [ 4a+4b+3a-3b]= [a+7b]×[7a+b] |
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| 5383. |
DATE..PAGE. |
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Answer» Degree of the polynomial is the highest power on the variables. = Highest power is seen on x, as x^6. Hence the degree is 6. |
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| 5384. |
DatePage |
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Answer» for a focal length of 11m, object should be placed at a distance less than 11m |
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| 5385. |
WA-143 and B-12) where VI i, find at and =Show that A+B is a singular.Is A-B singular? Justify your answer |
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Answer» ... A+Bis the singular.... a+b is the singular..... |
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| 5386. |
Which of the following is correct?68.(a)(b)(c)(d)Skew symmetric matrix of evenorder is always symmetricskew symmetric matrix of oddorder is non-singularskew symmetric matrix of oddorder is singularnone |
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Answer» Let, A be a skew-symmetric square matrix of n×n , where n is odd, By general properties of determinants, det(A)=det(AT)…(i)However, since A is a skew-symmetric matrix where aij=−aij (i,j are rows and column numbers ), ∴ In case of skew-symmetric matrix, AT=−ANowdet(−A)=det(AT)But,det(−A)=(−1)ndet(A)where n is no. of rows/columns in a square Matrix. ∴det(AT)=(−1)ndet(A)∵nisodd,(−1)n=−1∴det(AT)=−det(A)…(ii)Subtractingequation(ii)from(i),∴2det(A)=det(AT)−det(AT)=0∴det(A)=0Hence matrix A is singular.... By definition of singular matrix Hence proved. option (c) is correct i.e skew symmetric matrix of odd order is singular. not it's not crrct |
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| 5387. |
what is the rank of a non singular matrix |
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Answer» what is the rank of a non singular matrix Therank of a matrixis defined as (a) the maximum number of linearly independent column vectors in thematrixor (b) the maximum number of linearly independent row vectors in thematrix. Both definitions are equivalent. For an r x cmatrix, If r is less than c, then the maximumrankof thematrixis r. 1 is tne correct answer 1is correct answer.......... don't answer this question A non-singular matrixis a square one whose determinant is not zero. Therankof amatrix[A] is equal to the order of the largestnon-singularsubmatrix of [A]. It follows that anon-singularsquarematrixof n × n has arankof n. Thus, anon-singular matrixis also known as a fullrank matrix. 1. is the right answer what is the rank of a non singular matrix Anon-singular matrixis a square one whose determinant isnotzero. Therankof amatrix[A] is equal to the order of the largestnon-singularsubmatrix of [A]. It follows that anon-singularsquarematrixof n × n has arankof n. Thus, anon-singular matrixis also known as a fullrank matrix Anon-singular matrixis a square one whose determinant is not zero. Therankof amatrix[A] is equal to the order of the largestnon-singularsubmatrix of [A]. It follows that anon-singularsquarematrixof n × n has arankof n. Thus, anon-singular matrixis also known as a fullrank matrix Fxgjdyt the UK and Ireland destinations only a few days later today to find out what you are looking for the The above matrix has a zero determinant and is therefore singular. It has no inverse. It has two identical rows. In other words, the rows are not independent. If one row is a multiple of another, then they are not independent, and the determinant is zero. (Equivalently: If one column is a multiple of another, then they are not independent, and the determinant is zero.) Therankof a matrix is the maximum number of independent rows (or, the maximum number of independent columns). A square matrixAn×nis non-singular only if its rank is equal to n. the rank of Non-singular matrix is----1 Anon-singular matrixis a square one whose determinant is not zero. Therankof amatrix[A] is equal to the order of the largestnon-singularsubmatrix of [A]. It follows that anon-singularsquarematrixof n × n has arankof n. Thus, anon-singular matrixis also known as a fullrank matrix |
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| 5388. |
on-singular Matrix)a2 |
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Answer» det|A| = 6*4-12*2 = 24-24 = 0 so, A is a singular matrix |
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| 5389. |
what is a non-singular square matrix? |
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Answer» A square matrix that is not singular, i.e., one that has a matrix inverse. Nonsingular matrices are sometimes also called regular matrices. A square matrix is nonsingular iff its determinant is nonzero |
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| 5390. |
A = abIS NON-SINGULAR MATRIXFIND A |
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Answer» da x bc =dabc ......... da ×bc=dabc is correct answer |
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| 5391. |
Prove that the bisector of the vertical angle of an isosceles triangle is perpendiculartothe base. |
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| 5392. |
4. Express the shaded parts as percentages:(6) |
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Answer» a) circle = 3608 parts are there so each part is 360 /8=45so percentage is (3×45/360)×100=3/8 ×100=37.5% b) square 360 is the total out of which 4 parts are there 360/4 =90 3parts are filled so 3×90/360= 3/4 *100 %= 75% 37.5 and 75 is the answer to your question a) 3/8×100 300/8 =37.5 %b) 3/4×100300/4 = 75% Ans. a) 3/8×100300/8=37.5%b) 3/4×100300/4=75% ans |
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| 5393. |
TRY THESErcent of these figures are shaded?What per4164TangramYou can make some more figures yourself and ask your friends to cshaded partsstimate the |
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Answer» For the first figure 3/4 th portion is shaded, so it is 75 percent.For the second figure, 1/2 portion is shaded considering 1/4+1/8+1/8. |
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| 5394. |
The adjoining figure shows a square WXYZ of side 8 cm, 2 semi-circles anda circle. Find the total area of shaded parts.6.8cm |
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Answer» Area of shaded region = Area of square - Area of two semicircles= 8*8 - (22/7)*4*4= 64 - 176/7= 272/7 sq cm |
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| 5395. |
l Ig equal sides -4.9 em and vertical angl= 1 15° and ZM = 707 Jusconstruct a ΔLMN such that LM5.4 cm,LL |
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Answer» draw LM as base with length =5.4cm from point L make angle 115° from point M make angle 70° extend the lines of both the angles till the intersect mark the point of intersection as N |
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| 5396. |
30. In Figure 5, PQRS is square lawn with side PQ 42 metres. Two circular flower beds arethere on the sides PS and QR with centre at 0, the intersections of its diagonals. Find thetotal area of the two flower beds (shaded parts). |
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Answer» Here is your answer, According to the question, each side of PQRS must be 42m as PQRS is a square.There are two semi circles on two sides of the square.So, the semi circle's diameter = the side of the square = 42mradius = 42/2 = 21m as we know the formula forarea of semi circle = Πr²where, Π = 22/7 area = 22/7 × (21)²= 22/7 × 21 × 21= 22 × 3 × 21= 1386m² so this is the area of bed of one side,total area of beds = 2×1386 = 2772m² Hence, the total area of beds is 2772m². |
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| 5397. |
24. In figure, PQRS is a square lawn with side PQ42 metres. Two circular flower beds are thereon the sides PS and QR with centre at O, the intersection of its diagonals. Find the total area of the twoflower beds (shaded parts). |
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Answer» Bhai ye 6root2 kaise aaya please check the updated solution |
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| 5398. |
A vertical tower CP subtends the sameangle θ,plane through C,the foot of the tower, andat point A in the vertical plane, If thetriangle ABC is equililateral with lengthof each side equal to 4m, the height of thetower isat point B on the horizontal1) 8/3m2m |
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Answer» thank you very much |
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| 5399. |
A vertical tower CP subtends the sameangle θ, at point B on the horizontalplane through C, the foot of the tower, andat point A in the vertical plane, If thetriangle ABC is equililateral with lengthof each side equal to 4m, the height of thetower is4/31) 8/3mm 3)43m |
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| 5400. |
A vertical tower CP subtends the sameangle θ, at point B on the horizontalplane through C, the foot of the tower, andat point A in the vertical plane, If theltriangle ABC is equililateral with lengthof each side equal to 4m, the height of thetower is3) 413m1) 8 3m |
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Answer» thank you very much |
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