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.
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7. Can the number 6", n being a natural number, end with the digit 5? Give reasons. |
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Answer» No, beacuse,6ⁿ = 2ⁿ × 3ⁿ For a number to end with 5 it must have 5 as a factor. Here 6ⁿ does not have 5 as factor |
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| 2. |
19 In a class of 100 students, 55 students read History, 41 students read Philosophy and 25 studersread both the subjects. Find the number of students who study neither the subjects.(a) 170(c) 720(b) 450(d) 270 |
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Answer» total students=100read history=55read philosophy=41read both=25so students who neither read=100-55-41+25=29 |
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| 3. |
Multiplication Theorem of ProboblitiM32.346. In a hostel, 60% of the students read Hindi news paper, 40% read Englichpaper and 20% read both Hindi and English news papers. A student is serandom.A student is selected a(i) Find the probability that she reads neither Hindi nor English news |
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| 4. |
S$1 CAD is currently worth 75¢ USD. For $240 Canadian, how much American money would youreceive? |
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| 5. |
fustafa and Prakash take respectively 6 hours, 10 hours and 15 hours tomanufacturing measure scale of steel. If allake 360 measure scale in a companythe three do this work together, they get R 720 as remuneration. Hwill each get ?do thi |
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Answer» Total time taken to make 360 measure scales- 3 hourDipesh will make 60/hr, Total -180Mustafa - 36/ hr,Total-108Prakash - 24/ hr,Total-72Each scale's remuneration - 2/piece Dipesh-360,mustafa-216, prakash - 144 |
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| 6. |
Ae 3TH 22गा,दिनर १० दिन में- मी ती |
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Answer» 10 men built one house in 20 days Then,One man built same house in days = 20*10 = 200 Therefore, 4 men will built same house in days = 200/4 = 50 The 4 men made house into 50 days a correct answer is 50 days 50 days 4 right answer |
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| 7. |
bree cugles Fd t area of the shaded resion |
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| 8. |
6. The total remuneration paidremuneration paid to labourers, employed to harvest soyabeen is inWirbet variation with the number of labourers. If remuneration of 4 labourersis 1000, find the remuneration of 17 labourers. |
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Answer» remuneration for 4 labors for remuneration for 4 is the best answer🎯 If Remuneration of 4 labour = 1000 rupees Remuneration of 1 labour = 1000/4 =250 RsRemuneration of 17 labour = 250×17=4250 Rs |
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| 9. |
26. Three cylinders each of height 16 cmandradius of base 4 cm are placed on a planeso that each cylinder touches the othertwo. What is the volume of the regionenclosed between the three cylinders?(A) 98(43-) cm(A)(B)(C)(D)98(4V3-Ď) cm 398(2-3-m)cm?98( /3-n)cm128(2V3-x) cm 3 |
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Answer» Draw the cross section of the region. The cylinders will be represented by circles.Join the centers of the circles to form an equilateral triangle with a side of length 2r = 8cm Area of an equilateral triangle = (√3/4)a²a = 8Area = 16√3 cm² There are three equal sectors included in this area, each with an angle of 60°Area of the three sectors = 3×(60/360)×π×4²Area of the sectors = 8π cm² Area between the circles = (16√3 - 8π)cm²= 8(2√3 - π)cm² Volume between the cylinders = Area × height= 8(2√3 - π)cm² × 16= 128(2√3 - π)cm² |
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| 10. |
98+98 |
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Answer» Sum of 98 +98 = 196 sum of 98+98=196 answers |
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| 11. |
98231516L )198 |
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Answer» 5:30 |
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| 12. |
Q.1 chope the Coca*) XcV11 .98D 98© 1080999) How many million3) 100 ble ©• The predecessor alooo 1 loot C |
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| 13. |
आल एक E RERR o B s k3 oyLol Dl IR Jrang) रू 98 98 ्रि प्प० 9 था प्9 8 दाह s सध o LEp 7z |
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| 14. |
15 added to the square of a number is 6 less than the square of itssuccessor. Find the number7. |
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Answer» let the number be X.According to question, X ² +15 = (X +1)² -6 =>X ² +15 = X²+2X+1-6 => 2X = 20=> X = 10 Hence, the number is 10= |
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| 15. |
6. One number is 7 more than another and its square is 77 more than the square of the smaller numberWhat are the numbers? |
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Answer» two numbers are a-7 and aso a^2=(a-7)^2+77a^2=a^2-14a+49+7714a=126so a=126/14=9 |
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| 16. |
x ^ { 2 } - m ^ { 2 } - 9 n ^ { 2 } + 6 m n |
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Answer» x²-m²-9n²+6mn = x²-(m²+9n²-6mn)= x²-(m²+(3n)²-2(m)(3n))= x²-(m+3n)²= (x-m-3n)(x+m+3n) |
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| 17. |
98+2= |
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Answer» When we add 98 + 2 we'll get the answer as 100 98+2 =100 is the right answer please mark me the best answer 98+2=100 is the answer 98+2=100 is the right answer 98+2=100this is the correct answer 98+2=100your answer is 100. 100 is the answer of the following 98+2=80 is the correct answer for you 98+2=100 is the correct answer for you 98+2 =100 is the right answer 98+2 =100 is the right answer 98+2=100 is the best answer 💯 is right answer of this question am I right when we add 98 +2 well get the answer 100 92 is add to 2 = 100 Right answer is 100. 98 is added to 2=100 98 +2 =100 is the answer of sum 98+2=100 is the right answer. 98+2=100 is the best answer 100 is the right answer 98+2=100 is tha right answer |
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| 18. |
How many natural numbers are there from 2 to 102 What room of them a |
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Answer» there has 6 natural number 22 and 10 very easy question |
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| 19. |
92+98 |
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Answer» 190 is the correct answer 190 is the right ans 92+98=190 is correct answer. 92+98 =190 is the right answer 98+92=190 is the correct answer 190 is the right one 190 is the correct answer 190 is the correct answer 190 is the correct answer 190 is the correct answer 190 is the right answer 190 is right answer please like my answer 190 is the right answer 190 is the correct answer 190 is the correct answer 190 is the correct answer 190 is correct answer 190 is the correct answer 190 is right answer hoga 190 is the correct answer of this question 92+98=190 is right answer 92+98 = 190 is the right answer according to your question |
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| 20. |
e of 35 and square of 36.How many natural numbers lie between square of 35 anA |
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Answer» natural numbers lie between square of 35 and square of 36=(36+35)-1=71-1=70 There are 2n non-square numbers between n and (n+1)…Therefore,there are 2×35=70 non square numbers between 35 and 36 |
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| 21. |
98-54 |
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Answer» The difference is 44 thanks |
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| 22. |
= 36,en kind the value of(x--). |
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Answer» ( x+1/x)^2=x^2+1/x^2-2; ; (x-1/x)^2+2=36; x-1/x=34 x^2+1/x2=36(x-1/x)^2+2x×1/x=36(x-1/x)^2=36-2(x-1/x)=√34 √ 34 is the correct answer of the given question √34 is correct answer of question |
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| 23. |
.Dinesh Sold His motorcycle to Naveen at a loss of 28% Naveen spend 1680 rupees on its repairs and sold motorcycle to Saran for rupees 35910 making a profit of 12.5% find cost of motorcycle for dinesh |
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Answer» Let CP of dinesh motorcyvle = Rs x SP of dinesh motorcycle = (72/100) x = 0.72 x [There is a loss of 28%] CP of saran motorcycle including the cost of repairs = (0.72x + 1680) SP of saran motor = Rs 35910 Profit Percentage = 12.5% [(35910) - (0.72x + 1680)] x 100 / (0.72x + 1680) = 12.5 ⇒ (3423 - 0.72x) / (0.72x + 1680) = (125 / 100) ⇒ 3423000 - 72x = 9x + 21000 ⇒ 3423000 - 21000 = 9x + 72x ⇒ 3402000 = 81x ⇒ x = 42000 |
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| 24. |
A man reared cows and buffaloes. Thenumber of buffaloes was 7 more than onethird of the number of cows. What was thetotal number of animals, if the number ofbuffaloes was 21? |
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Answer» Very thankful to you |
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| 25. |
1. A man reared cows and buffaloes. Thenumber of buffaloes was 7 more than onethird of the number of cows. What was thetotal number of animals, if the number ofbuffaloes was 21? |
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Answer» no. of buffaloes = 211/3x + 7=211/3x=21-71/3x=14x=14×3x= 42no. of cows is 42total no.of animals=42+21=63 |
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| 26. |
90.A man had some hens and cows. If the numberof heads be 48 and the number of feet equals140, then the number of hens is: |
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| 27. |
Dinesh wants to exchange hisplot with a square plot of side 84 mlength of the rectangular plor is 144Find the breadth of the rectangurectanarploe. |
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| 28. |
10, Given, universal set = {x e Z :-6 < x6),N = {n : n is a non-negative number) andP [x:x is a non-positive number). Find:(ii) P |
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Answer» universal set, U(let)={-5,-4,-3,-2,-1,0,1,2,3,4,5,6}N={0,1,2,3,4,5,6}P={-5,-4,-3,-2,-1}We can see that P + N= Ui) N'=U- N=Pii)P'=U-P=N |
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| 29. |
If n is any natural number, then by which number 6 n square - 5 n square is always divisible. |
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Answer» If n is a natural number then 6 to the power n - 5 to the power n will end with 1Example-(1) 6 to the power 1 - 5 to the power 1 ends with 1(2) 6 to the power 2 - 5 to the power 2 =36-25 =11 which ends with1. |
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| 30. |
For a number greater than 10 to be a primenumber, what may be the possible digits in one'splace |
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Answer» the only possible digit are odd digits.. such as 1,3,5,7 and 9. |
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| 31. |
. Find a G.P. for which the sum of first twoterms is -4 and the fifth term is 4 times thethird term. |
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Answer» let the G.P be. a ,ar, ar² , ar³ , ar⁴ now , sum of first two terms is a+ar = a(1+r) = -4 ....(1) and ar⁴ = 4ar² => r² = 4 ,... so, r = ±2 now putting both the values of r in (1) we get. a(1+2) = -4 so, a = -4/3 or a(1-2) = -4 , a = 4 so, G.P is 4, -8,16,-32,.... or -4/3 , -8/3 , -16/3 , -32/3 ,-64/3 |
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| 32. |
4) A man reared cows and buffaloes. The number of buffaloes was 7 more than onethird of the number of cows. What was the total number of animals, if the number ofbuffaloes was 21? |
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| 33. |
32. The nth term of an A.P. is given by (-4n + 15). Find thesumoffirst20termsofthisА.Р.[CBSE 2013] |
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| 34. |
4 In a farm house, there are 80 cows and 30 buffaloes. What is the ratio of the cows to the buffalo |
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Answer» ratio of cow to buffaloes = no. of cows / no. of buffaloes= 80/30=8:3 |
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| 35. |
-r-The nth term of an A.P is given by (-4n + 15).Find the sum of first 20 terms of this A.P. |
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| 36. |
A.P.32. The nth term of an A.P. is given by (-4n + 15). Find the sum of first 20 terms of thisCBSE 2013]ratio 1 :5, find theA.P |
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| 37. |
4n²+4n - 288 |
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| 38. |
(3) AB = 5 cm, BC-4 cm and AC-6 cm. State, with reason whether it is--Jpossible to draw AABC or not. |
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Answer» Yes its possible to draw bcoz 5+4 > 6and 4+6> 5, 6+5>4 When sum of 2 sides is more than third side, we can draw the triangle |
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| 39. |
Find an anti-derivative (or integral) of thefollowing functions by the method ofinspectionsin 2x |
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Answer» -cos2x/2 is the right answer -cos 2x/2is the correct answer |
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| 40. |
4.Which one of the following is not a quadratic equation ?1 |
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| 41. |
4. In the given figure, find the area of rhombus ABCD,'İf AO=4cm and OD=5 cm. |
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| 42. |
4/N 6104.vethe following questions (Any two):4First term and common difference of an A.P. are 12 andrespectively. If tn 96, find n.If- 22, then find the value of m. s 32:Solve the following quadratic equation |
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| 43. |
TULLY. What is the answer?10. A herd of cows gives 4 litres of milk each day. But each cow gives one-third oftotal milk each day. They give 24 litres milk in six days. How many cows arethere in the herd? |
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Answer» A herd of cows gives 4 liters of milk each day. Each cow gives one-third of total milk each day = 1/3 of 4 Therefore, each cow gives 4/3 of milk each day. Total no. of cows = 4 ÷ 4/3 = 3 Therefore there are 3 cows in the herd. |
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| 44. |
m) 352. Expressas a rational number with denominator 7.98 |
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| 45. |
(i) given a,, = 37, d=3, find a and S. |
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Answer» Thank you very much I was very confused because now I am 9 to 10 once again thanks |
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| 46. |
7. Calculate the value of x in the given figure.7x3710xD |
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| 47. |
21. Find the number of three-digit natural numbers which are divisible b2. The nth term of an AP is given by (-4n 15). Find the sum of first 20 terms of this A.P. (-540) |
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Answer» irst three digit no. which is divisible by 11 is 110 So, a(first term)=110 d(common difference)=11 an(last term)=990 an=a+(n-1)d990=110+(n-1)11 990-110=(n-1)11 880/11=(n-1) 80=n-1 n=81 So the no. of three digits divisible by 11 are 81 |
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| 48. |
14. The Fibonacci sequence is defined by1 = a, = a, and a = 0, -, + a2, n > 2.Find+, for n = 1, 2, 3, 4, 5an |
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| 49. |
14. The Fibonacci sequence is defined by1 = a, = a, and a, = 0 -1 + 2n-2 n> 2.FindAntian-, for n=1, 2, 3, 4, 5forn |
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| 50. |
B-4, 6, 10, 14]D(0-A) n (U-B) = ?(iv) (A-BJU (B-A) = ? |
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Answer» 1= 12,162= 4,6,10,12,14,163= 2,8 4= 2,4,8,14 |
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