This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
(a) tan 75° +cot 75 |
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| 2. |
4. Find the marked price, when:(a)SP- Rs 495, discount-1% |
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| 3. |
Calculate the marked price, when:(i) SP.= 990,Discount = 1% |
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| 4. |
After allowing 10% off on the marked price, a shopkeeper still gets a profit of 25%If the cost price of an article is 180, then find its marked price. |
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| 5. |
DatePage No.Shivalal1,250 ju.hǐ.dquing tanpit annum and inkneat n payaile a |
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| 6. |
DatePage NoShivalal |
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| 7. |
t. Show that 15" cannot end with the digit zero for any natural number n. |
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Answer» 15ⁿ = (3×5)ⁿ = 3ⁿ × 5ⁿ We know that a number will end with zero if and only if it has 5 and 2 has prime factors i.e 2 × 5 = 10 , which will eventually makes a number to end with 0. In 15ⁿ , factor 2 is not present therefore 15ⁿ can not end with 0 |
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| 8. |
carpenter allows 15% discount on his goods. Find the markewhich is sold by him for 680? |
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| 9. |
Rationalnumberbetweenrationalnumbesįand 2 |
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Answer» if you have any confusions comments meand please like it |
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| 10. |
MathsFind two rational numbers between -2and S.F2372 |
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Answer» Any 2 rational numbers between -2and 5 are1 and 2 Two rational numbers between -2 and 5 are 0 and 1 |
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| 11. |
|1. 480 का 75% + 540 का ?% = 603 |
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Answer» 480 * 75/100 + 540*x/100 = 603 540 x = 60300- 36000x = 24300/ 540 =/45 45 is the right answer of following questions |
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| 12. |
Ex. 5. Simplify:(a) 24 |
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Answer» [(1/2)^2 - (1/4)^3] *2^3= (1/4 - 1/64)*8= (16 - 1)/8= 15/8 |
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| 13. |
18 : Express 2 as a rational number with(ii) den(i) numerator as - 15 |
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Answer» -5/6=-5×3/6×3=-15/18-15/18 -5/6=-5×3/6×3=-15/18 -5/6= - 5x3/6x3= - 15/18 |
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| 14. |
find marked pricesp= 540, discont=10% |
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Answer» please answer my English question |
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| 15. |
2 , 2of 1of 75% of 540 = ? |
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Answer» tnqu |
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| 16. |
8)1) Describe the following sets in Roster foi) {x#x is a letter of the word âMARRIAGEii) {xx is an integer, < x <iii) {x(x=2n, nEN) |
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Answer» i) x ={ A,E,G,I,M,R} ii) x ={0,1,2,3,4} ii) x = { set of all even numbers =>>2,4,6,8.... } |
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| 17. |
1) Describe the following sets in Roster formD (xx is a letter of the word 'MARRIAGEii) {xix is an integer, - < x <iii) (x(x = 2n, ne N} |
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Answer» i)The elements of the set are the letters in 'MARRIAGE'. While writing a set we choose only distinct letters. Therefore, set = {M,A,R,I,G,E} ii) x lies between -0.5 and 4.5 and is an integer. Therefore, set ={0,1,2,3,4} iii)x is a multiple of 2. Therefore, set ={2,4,6,8,.......} |
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| 18. |
Describe the following sets in Roster formi) (xx is a letter of the word 'MARRIAGEii) (x/x is an integer,iii) {x = 2n, nEN)- < x < . } |
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Answer» In Roaster form i) { M,A,R,I,G,E} ii) {0, 1, 2, 3, 4 } iii) { 2, 4, 6, ....} |
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| 19. |
DatePage No.ShivalalFind the rational number between 2 and? |
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Answer» write the rational number write number Indian system 20480 next 1980000 |
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| 20. |
Date//Page No.ISlunch arational nuerber between-3 and 5 |
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Answer» there are many rational no. between 3 and 5 like 4 or 7/2 or 9 /2 rational number in between 3and 5are3=3/1=3×10 1×10=30/105=5/1=5×10 1/10=50/10number between 3and5are31/10,32/10,3310,34/10to49/10 there are many rational numbers between _ 3and 5we have to find 1 rational number ,so we can write 1+2 as denominator =_ 3 = 9/_3 , 5= 15/39/3 and 15/3rational numbers between _3 and 5 are=10/3,11/3,12/3,13/3,14/3 3×6/6 is equal to 18/65×6/6 is equal to 30/6Answer 19/6,20/6,21/6,22/6,23/6 19/6,20/6,21/6,22/6,23/6 is the correct answer |
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| 21. |
theEx. 5. Evaluate: (i) 31.004 17.2386 |
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Answer» 31.004 - 17.2386= 31.0040 - 17.2386------------------ 13.7654 |
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| 22. |
PAGE| DATEMathsNumbersfind the 3betweenRational1 and3cw2014-3andg14 and5 |
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| 23. |
press each of the following sets l(i) The set of positive integers |
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Answer» Positive IntegersDefinition. Theset of positive integersis the same as thesetof natural numbers. Thepositive integersare the numbers 1, 2, 3, 4, ... , sometimes called the natural numbers or counting numbers.Positive integersare denoted as Z+. |
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| 24. |
. Find the fourth proportional to 4.8, 1.6, 5.4.l. Let the fourth proportional be x. Then 4.8, 1.6,5.4,x are in proportion. |
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| 25. |
The fourth proportional to 14, 21 and 22 is : |
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Answer» Let fourth propotional be x We know,Product of means = Product of extremes Hence, 21*22 = 14 * xx = 21 * 22/14x = 3*11 = 33 Therefore, Fourth propotion is 33 |
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| 26. |
Find the fourth proportional to 12,2and 3-714 |
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Answer» suppose fourth proportional is x now 1 5/7 = 12/7 2 3/14 = 31/14 3 3/5 = 18/5 so 31/14 * 18/5 = 12/7 * x so x= (31×18×7)/(14×5×12) = (31×6)/(2×5×4) = 93/20 |
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| 27. |
7.The fourth proportional to 14, 21 and 22 is: |
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Answer» 14/21 = 22/x462 = 14xx = 33 . |
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| 28. |
Q.1. In the given figure AB = CD, LABD = <CDB.Prove that AD = CB. [Board Term 1, 2012, Set-35] |
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Answer» In ∆ABD and ∆CDB AB = CD (given)∠ABD = ∠CDB (given) BD = BD (common)∴ ∆ABD ≅ ∆CDB (SAS congruence)=> AD = CB (CPCT) |
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| 29. |
101 Prove that:sin A1+ cot Acoscos A- sin A1+tan ABoard Term-1, 2016, Set-MV98 |
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Answer» make some big steps to understand |
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| 30. |
EXERCISE 1.11)Describe the following sets in Roster formi) (1) x/x is an integer ,--< x <iii) {x/x=2n, xe N. n EN)i) (x is a letter of the wordMARRIAGE') |
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Answer» i) x ={ A,E,G,I,M,R} ii) x ={0,1,2,3,4} ii) x = { set of all even numbers } 3) ans is wrongAns is C={2,4,6,8,.......} and what are 2,4,6,8 ..... ?? ain't they even number ?? 2,4,6, 8.... are indeed even numbers only as far as i know. |
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| 31. |
engtrrIncrease 540 in the ratio 6: 7 |
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Answer» 540+(6/7)*540=540+462.86=₹ 1002.86 answer is 630rupees answer of this question is = 30 |
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| 32. |
6. Bela alld fluParul, Daisy and Mrinal share 60 sweets in the ratio 9:7:4. How many sweets duls Dllul8. A wire of length 88 cm is cut into three pieces. The lengths of the pieces are in the ratio 2:3:6. Find thlength of the (G) shortest piece (i) longest piecein 6 7Decrease 440 kg in the ratio 11 5. |
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Answer» let X be the common multiplehence 2x+3x+6x=8811x=88X=8hence shortest is 2x=2*11=22cmlongest is 6x=6*11=66cm |
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| 33. |
The average of ten numbers is 35. If the sum of nine numbers is 300, find the tenth number. |
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Answer» sum of ten numbers=35×10=350sum of nine numbers=300so tenth number=350-300=50 |
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| 34. |
Datewsite den rational numbes between 1 and I2 |
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Answer» 1/2 and 1/3now lcm = 66/12 and 6/18now multiple by50300/60 and 300/90now 10 rational number300/61 ,300/62,300/63,300/64,300/65,300/66,300/67,300/68,300/69,300/70 |
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| 35. |
00| =t3wR |
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Answer» 1/8 + 3/16 + 5/24 Take LCM of 8, 16, 24 = (6 + 9 + 10)/48 = 25/48 The correct answer is 25/48 |
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| 36. |
2/3(w+12)=3w-6 |
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| 37. |
78% into fraction in lowest form. |
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Answer» 78%=78/100=78/100=39/50 |
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| 38. |
спромисс 10 тоологии5. Find the least 5-digit number which is exactly divisible by 20, 25, 30. |
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Answer» Least five digit number = 10000L.C.M. of 20,25,30 is 300.But we want the least five digit number which is divisible by 20, 25, 30.So, we will multiply the L.C.M. by a number that makes it the least five digit number divisible by 20, 25, 30.300××31 = 9300300××32 = 9600300××33 = 9900300××34 = 10200So, theleast five digit number divisible by 20, 25, 30 is 10200. The least five digit number divisible by 20,30,25 is 10200 10000 is the least 5-digit number whch is exactly divisible by 20 ,25 ,30 |
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| 39. |
I) Express 44: 76 in the lowest form |
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| 40. |
5. Find the least 5-digit number which is exactly divisible by 20, 25, 30. |
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Answer» 5 is the answer of the following 5 is the correct answer of the given question |
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| 41. |
18. There are 100 students in a class.The mean height of the class is 150cm. If the mean height of 60 boys is70 cm, find the mean height of thegirls in the class. |
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Answer» Number of students = 100number of boys = 60Then number of girls = 100 - 60= 40 Given, Mean Height of class = 150 cmMean Height of boys = 70 cm Sum of height of all students= 150*100= 15000 cm Sum of height of all boys= 70*60= 4200 cm Sum of height of girls= 15000 - 4200 = 10800 Mean Height of girls= 10800/40 = 270 cm mean = all of observation total no. of observation = 18+100+150+60+70 2 =. 199 |
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| 42. |
The mean height of 20 boys of a class is 150 cm when a boy leaves the class the mean height comes down by 0.5 cm find the height of the boy |
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| 43. |
118. The average height of 12 students in a class was calculated as 152 cm. Omverification it was found that one reading was wrongly recorded as 148 cm instead of172 cm. Find the correct mean height |
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| 44. |
2050 × 20 =-10=Σ990999 495Mean =n20 and mean 49.5EXERCISE 24.1LEVEL-1ghts of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cmheiy, find the mean height. |
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| 45. |
(A) A = {1, 2, 3, 4, 5}, B= {3, 4, 5, 6), |
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| 46. |
भाग - सPART - Cगुणन खण्ड विधि से समीकरण26 जहाँ x + 1, 2 को हल कीजिए।-23-1।12 by factorication |
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| 47. |
22.survey regarding thdiuta was roetariding the heights (in cms) of 50 girls of a class was conducted and the followingduta was obtained.Height(in om)Ni. of girlseml_1 20-130 130-140-140-150 | 150-160 160-170 Total122085028Section D |
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| 48. |
3 Write a number 1, 3, 5, 7, 9, 11, 13, 15 or 17 in eachcircle so that the sum of the numbers in each circleon each side of the triangle is exactly 30. Eachnumber can be used only once. |
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Answer» Here was the gaping of 2 number so obiusly each number are not be used only once |
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| 49. |
Question iWhat wall be the unit digit of the squares of the following numbers(0) 81 () 272(ini) 799(v) 3853 |
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Answer» 1.81= since 1^2 ends up having 1 as the digit at its unit place so 81^2 has 1 as the unit digit. ans=12. 272=Since, 22= 4, therefore, square of 272 will have 2 at it's unit place.So, 2722will have 4 at unit’s place3. 779^2=Since, 92= 81, So, 7992will have 1 at unit’s place4. 3853^2=Since 32= 9, so, 38532will have 9 at unit’s place. |
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| 50. |
EXERCISE 6.1e the unit digit of the squares of the following numbers?(i) 81(i) 272(ii) 799 |
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Answer» square a number last digit will be square of last digit of numberi) 1² = 1ii) 2² = 4iii) 9² = 1 |
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