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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.
| 72251. |
27. (aHow many words can be formed the letters of the word INDIA so thatthe consonants come together? |
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| 72252. |
क 2 800 707 sin 20° — 2cos 20° cosec 70° |
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Answer» sec70= 1/cos70= 1/[sin(90-70)]= 1/sin20.cosec20 = 1/sin20= 1/[cos(90-20)]= 1/cos70.So, sec70sin20 - cos20cosec70= sin20/sin20 - cos20/cos20= 1 - 1= 0. Please hit the like button if this helped you |
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| 72253. |
की कफ (2४ 800 न x u18) 2 || 2 |
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| 72254. |
ह ,— 800+ ,0€ दफा<ROते— द्पष ना दिकी काना BOD2] 2 2 |
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Answer» Please hit the like button |
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| 72255. |
५6 800तट्टपाब|1८ 22पिड़ै। हे 2 1७ 1% |
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| 72256. |
2. नीचे दी गई आकृतियों में अज्ञात कोण x का।80050% |
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Answer» 130 degree the value of X 80 + 50 =X 130= Xkyunki ye external angles hai 80°+50°=130°(sum of opposite angles of a triangle is equal to exterior angle) ya Maine Sahi kiya na x= the sum of two inner opposite angel.80+50 =x130=x 80 + 50 = x130=xexternal angle hai |
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| 72257. |
,l the quauraue equabion 3r-kv3x+4 0 has equalhid the eleventh term from the last term of the AP27, 23, 19, ., 654. Find the coordinates of the point |
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| 72258. |
4 = 0 has equal rootsardelsj Ork, if the quadratic equation3X2-KV3X17. Find the eleventh term from the last term of the AP: 27, 23, 19... -65.18. The sum of firrt nt |
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Answer» 27 , 23 , 19 ,...., - 65 is an A.P a = 27 , common difference = a2 - a1 d = 23 - 27 = - 4 Rewrite the A..P , - 65 , - 61 , - 57 , ... 19 , 23 , 27 here , first term = a = - 65 common difference = a2 - a1 d = - 61 - ( - 65 ) d = -61 + 65 d = 4 n = 11 nth term = an = a + ( n - 1 )d a11 = -65 + ( 11 - 1 ) 4 = -65 + ( 10 × 4 ) = -65 + 40 = -25 Therefore , required 11th term = a11 = - 25 I hope this helps you. |
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| 72259. |
hours willA jeep travels 90 km in 3 hours at a constant speed. In how manyjeep covers 150 kms?5: |
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Answer» speed=distance/timegiven, distance=90kmtime=3hrsspeed=90/3=30km/hrtime=distance/speedhere, distance=150kmtime=150/30=5hrs |
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| 72260. |
17(c) 14400The number of words which can be formed from the lettersof the word MAXIMUM, if two consonants cannot occurtogether, ish) 31 Y 41 |
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| 72261. |
If the letters of the word "MISSISSIPPI" are written down at random in a row, the probability that no two S's occur together is:(A) 1/3(B) 7/33(C) 6/13(D) 5/7 |
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Answer» In the word "MISSISSIPPI", Number of M's = 1 Number of I's = 4Number of S's = 4 Number of P's = 2 Total number of letters = 11 So total number of permutations = 11! / (1! 4! 4! 2!) = 34650 Now, total number of permutations taking all the letters except the S's = 7! / (1! 4! 2!) = 105 After these 7 letters are permuted in a row, a total of 8 places (6 in between positions 2 end positions) are obtained, in which remaining 4 S's can be placed so that no two S's occur together. Number of ways in which 4 S's can be placed in 8 positions is 8C4 = 70. So the number of permutations taking all the letters so that no two S's occur together is = 105 x 70 = 7350 Therefore, the required probability = 7350 / 34650 = 7 / 33 |
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| 72262. |
differentiation of xlogx |
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Answer» d(xlogx)/dx= x d(logx)/dx +logx dx/dx=x × 1/x +logx=1+logx |
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| 72263. |
differentiation |
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Answer» The action or process of differentiating or distinguishing between two or more things or people. |
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| 72264. |
(ii) 1 1 th term ofthe AP:-3,ー, 2, . . ., is2(A) 28(B) 22(C) -38 |
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| 72265. |
Check whether:1 50 is a term ofthe AP : 11,8, 5,2. |
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| 72266. |
which forms an AP with a T0,800 diluU2. Find the 20th term from the last term of the AP: 3, 8, 13, ..., 253. |
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Answer» Solution : We have, l = Last term = 253and, d = Common difference = 8 - 3 = 5 ∴ 20th term from the end = l - (20 - 1)d= l - 19d = 253 - 19 × 5 = 253 - 95 = 158 |
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| 72267. |
Find 25 th term from last term of ap 7, 11,15,.... .63 |
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Answer» As a= 7comman ratio = 4nth term = a+(n-1)dn = 2525th term =[ 7+(25-1)4]= 7+96103 will be 25 th term |
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| 72268. |
find the eleventh term from the last term of Ap:27,23,19,...,-65 |
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| 72269. |
what is differentiation |
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Answer» Defination : Differentiation is a process of finding a function that outputs the rate of change of one variable with respect to another variable. what is integration |
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| 72270. |
113. A number is first decreased by 20%.The decreased number is thenincreased by 20%. The resultingnumber is less than the originalnumber by 20. Then the originalnumber is(A) 200 (B) 400 (C) 500 (D) 60014. A truck travels 90 km/hr for the first1 hours. After that it travels70 kr/he. Find the time taken by thetruck to travel 310 kilometres.(A) 2.5 hrs(B) 3 hrs(C) 3.5 hrs(D) 4 hrs15. The amount 2,100 became 2.352in 2 years at simple interest. If theinterest rate is decreased by 1%, whatis the new interest?(A) 3210(B) 3220(C) 3242 (D) 252413-X6. The value of (2x + 1) (6x - 3)9999 is(A) 1111(B) 2222(C) 3333(D) 6666- If a + b3 = 9 and a + b = 3, then thevalue ortis(A) (B) D) -If x = 1 - and y = v3 +then the value or is(A) V3 (B) 3V3(C) 1673 (D) 213SPACE FOI |
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Answer» 4x^3-x /(2x+1)(6x-3) == 4(999 |
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| 72271. |
the total price of two watches is ₹840.one watch is sold on profit of 16%and that of other on 12% loss.there is no profit and no loss on the whole transaction, find the cost price of both the watches |
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| 72272. |
12. A car travels 195 km in 3 hours.(i) How long will it take to travel 520 km?(ii) How far will it travel in 7 hours with the same speed? |
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| 72273. |
14. Find a formula for the number of permutations of n different things taken rat a time such that two specified things occur together |
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| 72274. |
2530th term ofthe A.P 10,7,4,- |
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Answer» Given AP=10,7,4......a1=10,a2=7difference(d)=a2-a1=7-10=-3d=-3then 30th term=a+29d=10+29(-3)=10-87=-77 |
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| 72275. |
. Find the 25th term ofthe Î.ÎĄ. -5,--,0.. |
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Answer» a= -5.d = -2.5 + 5= 2.525th term = a + ( 25-1)d= -5 + 24(2.5)= -5 + 60= 55 |
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| 72276. |
) 2 women and 5 men can together finish 'an embroidery work in 4 days, while 3women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone tofinish the work, and also that takén by i man alone. |
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| 72277. |
(2/3)2×(4/9)2×(2/3)-4 |
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| 72278. |
RITNMETIC PROGRESSIONS17. Find the 20th term from the last term ofthe AP:3,8, 13.253 |
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| 72279. |
431· The decimal expansion of the rational numberwill te24.53places of decimals? |
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| 72280. |
A truck travels at 90 km/h for thefirst 1 1/2 h. After that it travels at70 km/h. Find the time taken bythe truck to travel 310 km(1) 2.5 h(3) 3.5 h(2) 3 h(4) 4 h |
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Answer» Truck travels 90km/hr for 1 1/2 hours or 3/2 hoursdistance travelled = 90*3/2 = 135 km total distance = 310kmAfter that it travels 70 km/hr. So distance travelled at 70km/hr= 310-135 = 175kmtime = distance/speed = 175/70 = 5/2 hours total time = 3/2 + 5/2 = 8/2 = 4 hours thanks |
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| 72281. |
ਇੱਕ ਪਰਿਮੇਯ ਸੰਖਿਆ ਅਤੇ ਅਪਰਿਯ ਸੰਖਿਆ ਦਾ ਗੁਣਨਫਲ ................... ਹੁੰਦਾ ਹੈ।Product of Rational and Irrational number is always33, 43, 12 243 ਦਾ ਗੁਣਨਫਲ/ The Product of these numbers is : |
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Answer» product of rational and irrational no. is always rational number3√3×3√3=27 product of rational and irrational no. is always irrational no. product of rational and irrational is always irrational number...product of the no. 3√3×4√3×12√243=6734.21 Product of rational and irrational no is always an irrational no |
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| 72282. |
-1725. Express 204as a rational number.(i) with numerator 43. |
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Answer» -43/51 is the answer of the question |
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| 72283. |
forDinmotorcycle to Saran fr? 35910 making a profit of 12.5%. Find the cost of the motor cycle22, The CP. of two watches taken together is? 840. If by selling one at a profit of 16% and the otherloss of 12%, there is no gain or loss in the whole transaction then find the C.P of each watch. |
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Answer» Let the CP of watch 1 = Rs x.CP of 2nd watch = 840-xSP of 1st watch = 116x/100 [16% profit]SP of 2nd watch= 88(840-x)/100 [12% loss]No loss/gain=> 840 = 116x/100 + 88(840-x)/100=> 840×100= 116x - 88x + 840×88=> 84000 = 28x+73920=> 28x= 84000-73920=> 28x=10080=> x=10080/28=> x=360CP of 1st watch = 360CP of 2nd watch= 840-x= 840-360=480 |
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| 72284. |
Q2. The decimalterminatingexpansion of the rational no. 43after how many places of decimal? |
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Answer» 43/400= 0.1075thanks 43/400= 0.1075prive that |
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| 72285. |
2 women and 5 men can together finish a |work in 4 days, while 3 women and 6 mencan finish it in 3 days. Find the time taken by1 woman alone to finish the work, and alsoIthat taken by I man alone. (HSLC 17) |
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| 72286. |
Find the next term ofthe A.P. V8,v18, v32,... |
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Answer» √8,√18,√322√2,3√2,4√2a=√8=2√2d=3√2-2√2=√24th term=a+(n-1)d=2√2+(4-1)√2=2√2+3√2=5√2 |
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| 72287. |
Find the next term ofthe Α.Ρ.,18,-32,…17 |
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Answer» Therefore √4= 2so u got this as 2√2=√8so take next term and try to do in these methods only so u can get it and this is arithmetic progression so now u have to find next term 2√2,3√2,4√2,...so there is a common difference d=a2-a1d=√2so, and next term will be 5√2 ,..... etc |
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| 72288. |
. USUALWC VIUS LACUS, CULUS-910. A flooring tile has the shape of a parallelogram whose base is 24cm, and the corresponding height is 10 cm. How many such tilesare required to cover a floor of area 1080 square meters?loaded truck travels 14 Km in 25 minuter Tech |
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| 72289. |
If cot θ-0, then what is the value ofcosec2θ ?2 .2p-q(B)22929(C) p2-q2(D) 2492 |
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Answer» Answer:B)Explanation: |
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| 72290. |
ha purchased a ball for 12 rupeesNeShe gvendor. Hoave 8 rupees 75 paise to ther. How many rupees did she haveto pay more? |
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Answer» Total price = 12 Rupees 8 Rupees 75 paise = 8.75 given Remaining money = 12-8.75 = 3.25 = 3 Rupees 25 paise |
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| 72291. |
Q.1. The decimal expansion of the rational number43245s will terminate after how many places of2013decimals? |
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| 72292. |
cost price of 2 watches taken together is rupees 840 if by selling one at profit of 16% and other at a loss of 12% there is no gain or loss in the whole transaction then find CP of each watch |
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Answer» Let the CP of watch 1 = Rs x.CP of 2nd watch = 840-xSP of 1st watch = 116x/100 [16% profit]SP of 2nd watch= 88(840-x)/100 [12% loss]No loss/gain=> 840 = 116x/100 + 88(840-x)/100=> 840×100= 116x - 88x + 840×88=> 84000 = 28x+73920=> 28x= 84000-73920=> 28x=10080=> x=10080/28=> x=360CP of 1st watch = 360CP of 2nd watch= 840-x= 840-360=480 |
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| 72293. |
Solve the following problems by forming equations :Sum of digits of a two digit number is 8. If their digitsare interchanged, the new number is increased by 18than the original number. Find the original number.12) The units digit is double than tens digit of a twodigit number. If you interchange the digits and add theresulting number to the original number, you get 66.What is the original number?(3) The present age of Hitesh's mother is five times thepresent age of Hitesh. After 6 years, the age of hismother will be thrice the age of Hitesh. Find the presentage of Hitesh.the (4) At present, the age of Riya's mother is seven times theage of Riya. Ten years hence, the age of the mother willbe three times the age of Riya. Find their present ages.Ans. (1) 35 (2) 24 (3) 6 years (4) Age of Riya = 5 years;Age of Riya's mother = 35 years |
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Answer» 3). Let the present age of hitesh be "x' years.Let age of hitesh mother be 5x years. After 6 year,Present age of hitesh= (x+6) yearsPresent age of mother=(5x+6)yearsAccording to the questions,Hitesh mother thrice the age of hitesh,3(x+6) = (5x+6)or,3x+18= 5x+6or,3x-5x= 6-18or,-2x. = -12or,x. = {-12}÷{-2}or,x. =. 6present age of hitesh= 6yearsPresent age of hitesh mother= 5x =5(6) = 30 years |
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| 72294. |
Riyadistributed 777 between hersisters Reema and Ritika in the ratio of11 10, respectively. Find the differencebetween the share of Reema and Ritika. |
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| 72295. |
Findthe area of the circle whose diameter is 175 m |
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| 72296. |
Find the circumference of a circle whose diameter is 21 cm. |
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| 72297. |
ACCS CCS18. A flooring tile has the shape of a parallelogram whose base is 24cm. and the corresponding height is 10 cm. How many such tilesare required to cover a floor of area 1080 square meters?loaded truck travels 14 |
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| 72298. |
\begin{array} { l } { \text { Consider the series given below: } } \\ { 4 / 12 / 95,1 / 1 / 96,29 / 1 / 96 , } \\ { 26 / 2 / 96 , \ldots \text { The next term of the series is } } \\ { \text { (a) } 24 / 3 / 96 } & { \text { (b) } 25 / 3 / 96 } \\ { \text { (c) } 26 / 3 / 96 } & { \text { (d) } 27 / 3 / 96 } \end{array} |
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Answer» 4/12/95 + 28 days 1/1/96 + 28 days 29/1/96 + 28 days 26/2/96 + 28 days 25/3/96 |
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| 72299. |
9. Expres paise9. Express as rupees using decimals:(11) 9 rupees 75 paise |
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Answer» 100 paisa = 1 rs1 paisa = 1/1008 paisa= 8/100 8/100=0.089+75/1009+.759.75 (i) we know that 1 paisa=1/100 rupeesso, 8 paise=8/100 rupees =0.08 rupees.ans(II) we know that 1 paisa=1/100 rupeesso,75 paise=75/100rupees = 0.75 rupees therefore, 9 rupees and 75 paise=9+0.75 rupees = 9.75 rupees.ans |
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| 72300. |
5. Fill in each of the place holders with the correct symbol > or <.(1) 78.2369.85(11) 3.406 ] 3.46(iii) 5.685 .86(iv) 14.05 14.005(v)(vl)1.85 1.8050.98 D 1.076. Arrange the following decimals in ascending order:(1) 4.6, 7.4, 4.58, 7.32, 4.06(ii) 0.5. 5.5.5.05, 0.05, 5.55(iv) 2.2, 2.202, 2.02, 22.2, 2.002(iii) 6.84. 6.48, 6.8, 6.4, 6.087. Arrange the following decimals in descending order:(11) 2.6. 2.26. 2.06, 2.007, 2.3(1) 7.4, 8.34, 74.4, 7.44, 0.74 |
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Answer» question 5 78.23,3.46, 5.86, 14.05,1.07 |
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