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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.
| 1301. |
Classify the following as linear, quadratic and cubic polynomials : y + y^(2) + 4 |
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| 1302. |
State true or false .The mid point of any diameter of a circle is the centre. |
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| 1304. |
If sinA=(9)/(15) then sec A is……………. |
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Answer» `(15)/(9)` |
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| 1305. |
For each of the points given below , checkwhether it is a solution of equation 2x +3y = 24 or not :(12,0) |
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| 1306. |
It costs Rs 2200 to paint the inner curved surface of acylindrical vessel 10 m deep. If the cost of painting is at the rate of R s\ 20\ p e r\ m^2, find (i) inner curved surface area of the vessel,(ii) radius of the base,(iii) capacity of |
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Answer» (II) 1.75 m (III) 96.25 kilolitres |
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| 1309. |
If E be a random experiment or rolling a dice and S be its sample space, then if one dice is rolled then find the sample space of it. |
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| 1312. |
Factorise 8x ^(3) + 36 x ^(2) y + 54 xy ^(2) + 27 y ^(3). |
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| 1313. |
Rohit opened a fixed deposited of Rs 25000 with a bank for one years .If the rate of interest is 10% per annum interest beong compounded half yearly then find the amount he received at the end of this period approximately (in Rs) |
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Answer» 28821 `=25000(21/20)^(3)=28940.625=28941` |
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| 1314. |
Refer to Q.2, Exercise 14.2. What is the empiricalprobability that an engineer lives:(i) less than 7 km from her place of work?(ii) more than or equal to 7 km from her place ofwork?(iii) within 1/2k mfrom her place of work? |
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| 1316. |
If sqrt(3)=1*732, find (correct to two decimal places) the value of the followingsin60^(@) |
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| 1317. |
A cuboidal vessel is 10 m long and 8 m wide. How highmust it be made to hold 380 cubic metres of a liquid? |
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| 1318. |
Divide the polynomial x^(2) - 10x + 21 by each of the following divisors and find the remember in each case : x + 5 |
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| 1319. |
Divide the polynomial x^(2) - 10x + 21 by each of the following divisors and find the remember in each case : x + 2 |
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| 1321. |
Check whether 5x +1 is a factor of 5x^(3) + 26x^(2) + 35x + 6 or not. |
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| 1322. |
Evaluate : (i) cosec 82^(@)-sec8^(@) (ii) sec 70^(@)sin 20^(@)+cos 20^(@)cosec 70^(@) |
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| 1323. |
Show that (x-1) is a factor of x ^(10) -1 and also of x ^(11) -1. |
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| 1324. |
Let A and B be two fixed points in a plane. Find the locus of a point P such that PA^(2) + PB^(2) = AB^(2). |
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| 1325. |
Verify whether the values of x given in each case are the zeroes of the polynomial or not ? (i) p (x) = 2 x + 1,x =- 1/2 (ii) p (x) = 5x -pi , x = (-3)/(2) (iii) p (x) = x ^(2) -1 , x = pm 1 (iv) p (x) = (x-1) (x +2) , x =-1,k-2 (v)p (y) = y ^(2) , y =0 (vi ) p (x) = ax + b, x =- (b)/(a) (vii) f (x) = 3x ^(2) -1 , x =- (1)/(sqrt3) , (2)/(sqrt3) (viii) f (x) =2x -1 , x = (1)/(2), (-1)/(2) |
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| 1326. |
The marks scored by Kavya in 10 tests of Mathematics are 35. 18, 41, 24, 45, 10, 28, 32, 40, 15. Then, the range of the data is....... |
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Answer» 45 |
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| 1327. |
If two sides of a triangle are inequal , then the largerside has _______ angle opposite to it . |
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| 1328. |
ABC is an isosceles right-angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios : (i) sin45^(@) (ii) cos45^(@) (iii) tan45^(@) |
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| 1329. |
State for any acute angle theta whether : sintheta increases or decreases as theta increases. |
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| 1330. |
Express each of the following decimals in (p)/(q) form where qne0 and p, q are integers 10.25 |
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| 1331. |
A company named infosys paid to its employee Arshya Rs 15000 throught a abnk on the 2nd of every month .The company opened the saving account with icici bank on 2-7-2006 by depositing her firt salary .she used to withdraw Rs 4000 for her expenses on the 15th of every month .If she closed her account on 8-11-2006 then on what amount did she receive interest? |
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Answer» RS 121000 (ii) Minimum balance for the month of august is Rs (11000+15000-4000) i.e Rs 22000 (III) Similarly calculate the minimum balance for the remaining monthltrbgt (iv) ADD all such minimum balances |
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| 1332. |
Use suitable identities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv)(x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x) |
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Answer» (ii) `x ^(2) -10x +25` (III) `9x ^(2) -4` (iv) `x ^(4)- (1)/(x ^(4))` (V) `1+ 2x +x ^(2)` |
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| 1333. |
Which of the following does not change for the observations 23, 50, 27, 2x, 48, 59, 72, 89, 5x, 100, 120, when x lies between 15 and 20? |
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Answer» Arithmetic mean (ii) For different values of x, AM, Median, and QD will be changed. (iii) The maximum and MINIMUM values are not changed in the GIVEN interval of x. |
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| 1334. |
State whether the statements are True or False. (ii) All parallelograms are quadrilaterals ( ) |
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| 1335. |
Classify the following numbers as rational or irrational. 5-sqrt3 |
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| 1336. |
ABCD is a parallelogram, E is the mid-point of AB and CE bisects angleBCD. Then angleDEC is |
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Answer» `60^(@)` |
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| 1337. |
Prakash, Ramesh and Suresh started a job. After 2 days, Prakash left. After another 2 days, Rameshleft. In another 2 days. Suresh completed the reaminin part of the job . If Prakash can complete the same work in more than 6 days, and Ramesh can complete it in more than 12 days, who got the highest share of the wages? |
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| 1338. |
The ratio of radi of two sphere is 2: 3 Find the ratioof their volumes. |
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| 1339. |
Weights of parcels in a transport office are given below. Find the mean weight of the parcels. |
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| 1340. |
Factorise (i) x ^(2) - 2x ^(2) - x +2 (ii) x ^(3) - 3x ^(2) - 9x -5 (iii)x ^(3) + 13 x ^(2) + 32 x + 20 (iv)y ^(3) + y ^(2) -y -1 |
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Answer» (ii) `(x +1) ^(2) (x-5)` (iii) ` (x +1) (x+2) (x+10)` (IV) `(y+1) (y+1) (y-1)` |
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| 1341. |
Find the total surface area of a cone, if its slant height is 21m and diameter of its base is 24 cm |
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| 1342. |
Find the mirror image of A(-4,2) in (i) the x-axis (ii) the y-axis (iii) the origin Give the name of the figure formed by point A and the points obtained in (i) , (ii) and (iii) above. Also find the distance between poitns A and the point obtained in (iii). |
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Answer» Solution :(-4,2) lies in II quadrant i.e, 2 units above the x-axis. (i) `THEREFORE` image B of a point A(-4,2) in x-axis will be just below the x-axis i.e. in III quadrant. So, image B`=(-4,-2)`. Since, (-4,2) lies in II quadrant i.e., 4 units left to the y-axis. `therefore` Image C of a point A(-4,2) in y-axis will be just right to the y-axis i.e, in I quadrant. so, image `C=(4,2)`. If (x,y) be any point then itsimage in the origin will be `(-x,-y)` i.e., image will be in the opposite quadrant. Here, (-4,2) lies in II quadrant, so its image D will be in IV quadrant. `therefore` Image `D= (4,-2)` Since `AB=CD=2+2=4` units and `AC=BD=4+4=8` units `therefore square ACDB` is a RECTANGLE whose LENGTH `AC=8` units and breadth `CD=4` units In right triangle `ACD`. Now, by Pythagoras theorem `AD^(2)=AC^(2)=CD^(2)` `=(8)^(2)+(4)^(2)` `=64+16` `=80` `therefore AD =sqrt(80)`units `rArrAD=4sqrt(5)` units 
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| 1343. |
Plot the points (2,3), (6,3) and (4,7) in a graphsheet. Join them to make it a triangle. Find the area of the triangle. |
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| 1344. |
Examine, whether the following numbers are rational or irrational: (i) 0.3796 (ii) 7.478478.. (iii) 1.101001000100001 |
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| 1346. |
State for any acute angle theta whether : tantheta increases or decreases as theta decreases. |
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| 1348. |
Find the amount and the compound interest on Rs 10,000 for (1) 1/2 years at 10% per annum, compounded half yearly. |
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| 1349. |
Write an algorithm and draw a flowchart to find the sum of first 50 natural numbers |
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Answer» Solution :step 1: SET COUNT =1, sum =0 step 2: Add the count to sum step 3: INCREASE count by ONE i.ecount =count + 1 step 4: check whether count is 51 step 5: In step 5 if count is 51 display sum else go to step 2 From the flowchart we can observe that there is a loop among the steps (boxes) 3,4 and 5 
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| 1350. |
The volume of a cone is 18 pi cm^(3). Find its height if height and diameter of base are same. |
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