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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. |
AB= 5 cm, BC=4 cm and AC=6 cm. State, with reason, whether it ispossible to draw AABC or not. |
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| 2. |
किपड़Lol % e g oSt e ०0 [५००६८ 509+:८2'Lol 2beke b [zh % 1DIEEE |
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Answer» sin 67 + cos 75 sin (90 - 23) + cos ( 90 - 15) cos (23) + sin ( 15) |
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| 3. |
3) AB 5 cm, BC 4 cm and AC-6 cm. State, with reason, whether it ispossible 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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| 4. |
houss find the aspeos hes veil |
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| 5. |
o WT“’»W; छठ एम 5009 () एटा. s _ hes g0 Spहु पड |
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| 6. |
4LolT22) ० (१०९) |
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| 7. |
[उन्टं कक for_jutat Lol 6 P wubl b, H‘Lfl U o1t ! 06४L e \Jfi“’” P पर कण.. & o)y, O£ के... L1y <\ Doy \gc\* i IL) |
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Answer» If you like the solution, Please give it a 👍 |
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| 8. |
2096 |
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Answer» 21 is the answer to this question 21 is the answer of this question 21 is right answer of this question. please like my answer 21 is the correct answer of the given question Yes 21 is the correct answer 21 is the correct answer of the question the quotient we get after (12096)÷(576) is 21 21 is correct answer of this question 21 is the quotient.... 21is the Right answer |
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| 9. |
A point (3, 4) is given. Can you give the equation of the line on which it hesmany such equations are there? |
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| 10. |
2. 1500 + 3 +5+10 |
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Answer» 1500+3+5+10=1518(basic addition) |
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| 11. |
S12given a, 15, S,125, find dand ao |
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Answer» hit like if you find it useful |
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| 12. |
In an AP:Given al,-37, d # 3, find a and S12 |
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Answer» given a12=37 d=3 a+11d=37a+11×3=37a+33=37a=37-33a=4 S12=(n/2)(a+a12)S12=12/2×(4+37)S12=6×41S12=246 |
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| 13. |
17. If S, denotes, the surm of the first n terms of an A.? prove that S12 3(Sg- SA) |
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| 14. |
Solve the following system of inequalities graphically:2. 3x +2y s12, x21,y 22 |
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| 15. |
How many non square numbers lie between 902 and 912? |
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Answer» Here, n=90∴2 x n = 2 x 90 or 180 ∴ 180 non-square numbers lie between 90 and 91. |
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| 16. |
How many numbers lie between the square of the following numbers(i) 25:26 (ii) 56:57 (iii) 107:108 |
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Answer» i)25^2=625,26^2=676 so 676-625=51ii) 56^2=3136, 57^2=3249 so 3249-3136=113iii) 107^2=11449,108^2=11664so 11664-11449=215 |
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| 17. |
EXAMPLE 10 Prove that one of every three consecutive positive integers is divisible by3SOLUTION Let n, n+ 1, n + 2 be three consecutive positive integers. |
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Answer» Let three consecutive positive integers be n, n + 1 and n + 2Whenever a number is divided by 3, the remainder obtained is either 0 or 1 or 2 ∴ n = 3p or 3p + 1 or 3p + 2, where p is some integer. If n = 3p, then n is divisible by 3.If n = 3p + 1, then n + 2 = 3p + 1 + 2 = 3p + 3 = 3(p + 1) is divisible by 3.If n = 3p + 2, then n + 1 = 3p + 2 + 1 = 3p + 3 = 3(p + 1) is divisible by 3 So, we can say that one of the numbers among n, n + 1 and n + 2 is always divisible by 3. |
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| 18. |
Let A (9, 10, 11, 12, 13) and let f: A N be defined by(n) = the highest prime factor of n. Find the range of f: |
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Answer» thnqq |
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| 19. |
पा 2 कद | il कि. |
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| 20. |
18) Let (a,) be a GP such that and a, + a, 216Then a, is equal to10854a) 12 orb) 7 orc) 10d) none of these |
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| 21. |
by e +3)il 2. Lol B 2 |
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| 22. |
1)X-1(il) x +1(ii) x 2(iv) x + 2 |
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Answer» (x+1) is a factor of 2x³+4x+6 |
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| 23. |
the height is 4 m, find the a5m by I m/ and two windows. each measuring (2 m by 1 m). Find tour walls at ? 160 per m2Uild 3.4 m high. It has two doors, each measirareaand12 TheIt ha8.5 m long 6.5 m broad andmeasuringaahe cost of paimtiranig its |
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| 24. |
Example 1. Let P(n) be the statementP(n) : 10 n + 3 is prime if n is not divisible by 3.Is this statement true?have |
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Answer» no it is not true so simple is that it's true if n is not divisible by 3 then 10n+3 is prime number you can verify it by putting n= any no. I not divisible by 3 the answer will be a prime no. yes it's TRUE because there is a lot of prime number except 3 . so the equation will be come in prime |
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| 25. |
13, if the area of a square is increased by 69% then its side is increased by3) 23%1) 20964) 31%2) 30%5) Other than those given as options |
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Answer» Formula used: Area of square = (Side)^If the area of the square increases by 69%, the side will increase by 30% Lets assume the side of the square to be 10 units, making area 100 units!The area increase by 69%, the new area will be 169 units. Hence, the area will be 169−−−√169 or 13 units.This is a thirty percent increase in the square's side(Option B) |
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| 26. |
10. A number increased by 28 is 38. find the number11. Given AB~ CD.State whether AC ~BD and why? |
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| 27. |
13. The length of a rectangle exceeds its breadth by 9cm. If length and breadth are each increased by3cm, the area of the new rectangle will be 84 cm? more than that of the given rectangle. Find thelength and breadth of the given rectangle. |
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| 28. |
There was 5 1500 ml of milk in my house. In the evening there was only 21 750 ml of milk left. How much milkwas consumed during the day? |
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Answer» milk initially in house = 51500 mlmilk left = 21750 mlconsumed milk = milk initially in house - milk left = 51500-21750= 29750 mlans. |
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| 29. |
2. Find the roots of the quadratic equation 3x2-2x-./Đ-Đ. |
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Answer» √3x² - 2x - √3 = 0 √3x² - 3x + x - √3 = 0 √3x ( x - √3) + ( x - √3) = 0 ( √3x + 1) ( x - √3) = 0 So, x = -1/√3 and √3 |
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| 30. |
mple 5 : Find the roots of the quadratic equation 3x2-2V6x + 2-0 |
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Answer» 3x² - 2√6x + 2 = 0 (√3x)² - 2 × (√3x) × √2 + (√2)² ( √3x - √2)² = 0 So, x = √2/√3 |
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| 31. |
: Find the roots of the quadratic equation 3x2 -2/6x +2-0 |
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Answer» 3x²-2√6x+2=0 3x²-√6x-√6x+2=0 √3x(√3x-√2)-√2(√3x-√2)=0 (√3x-√2)(√3x+√2)=0x=-√3/√2, √2/√3 |
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| 32. |
What must be subtracted from x3.9x-12 so that the resulting polynomial is exactly divisibleby x+3? |
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| 33. |
Find the roots of the quadratic equation 3x2 -2/6x +2-0. |
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Answer» 3x2- 2√6x+ 2 = 0 ⇒ 3x2- √6x -√6x+ 2 = 0 ⇒ √3x[√3x- √2] - √2 [√3x- √2] = 0 ⇒ [√3x- √2] [√3x- √2] = 0 ⇒ [√3x- √2] = 0 or [√3x- √2] = 0 ⇒x= √2 / √3 orx= √2 / √3 so.x= √2 / √3 , √2 / √3 is the solution |
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| 34. |
1. Is zero a rational number? Can it be written inthe form -. where p and q are integers and9702 |
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Answer» Yes zero is a rational number.we can write it in the form of 0/2,0/5, 0/7 etc. |
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| 35. |
113FindFind the value of a +. when u+= 7, a > 0.a |
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| 36. |
e te correct options as your answer n theve1Which of the following gives '25' as a result of simplification?(A) (625)½ (B)All the eynrocciVI252(C)(512),(D)(25)02.1-8 |
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Answer» option (a) is correct |
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| 37. |
OrFind the roots of the quadratic equation 3x2-26x +2=0 .Or |
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Answer» Roots will be -b+-√b^2-4ac/2a2√6+-√24-24/6=2√6/6=2/√6 |
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| 38. |
1.Findtheaieuum2 m(ba 2 m1m 1 m1 m3 |
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| 39. |
If a=\frac{3+\sqrt{5}}{2}, then find the value of a^{2}+\frac{1}{u^{2}} |
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| 40. |
ample 6 Prove that2.7" + 3.5" – 5 is divisible by 24, for all n e N. |
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Answer» it is true...... by the principle of mathematics |
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| 41. |
AMPLE 10 Given Δ ABC, lines are draum through A, B and C parallel respecBCtively to theCA and AB, formingΔ PQR (Fig.13.27). Shou, that BC--QR.u that BCOR9 13.27 |
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| 42. |
ample ofmotion10. The motion Lit,(a) 1-D mot(c) 3-D motion(d) none of thesei0ri |
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Answer» under projectile motion, is 2d in nature. |
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| 43. |
2011 by 31) 10203574 by 412000-Which of the following are prime numbers?1) 103(ii) 137(11) 161( 179iv) 217(vi) 277(vii) 331iv) 397Give an example of a numberii) which is divisible by 2 but not by 4.fi) which is divisible by 4 but not by 8.(iii) which is divisible by both 2 and 8 but not by 16.(iv) which is divisible by both 3 and 6 but not by 18.Write (T) for true and (F) for false against each of the following statementfi) If a number is divisible by 4. it must be divisible by 8.(i) If a number is divisible by 8. it must be divisible by 4.m) If a number divides the sum of two numbers exactly, it must exactlybers separatelyiv) If a number is divisible by both 9 and 10, it must be divisible by 90Hint. 9 and 10 are co-primes.(v) A number is divisible by 18 if it is divisible by both 3 and 6.aos 12 |
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Answer» 572 is Divisible by 4 572 is Divisible by 4 list the prime numbers between 40 and 50 67 is divisible by 2 check whether the following comenumber are divisible by 3 45986 |
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| 44. |
2) Solve the system of equation by substitution4x+ 9y 9 |
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Answer» -4x + 9y = 9.....(1)x = 3y - 6.........(2) Put value of x from eq(2) in eq(1)-4(3y - 6) + 9y = 9-12y + 24 + 9y = 9-3y = - 15y = 15/3 = 5 Then,x = 3*5 - 6 = 15 - 6 = 9 |
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| 45. |
10. Activity : Ask all the students in yourclass to write a 3-digit number. Chooseany student from the room at random.What is the probability that thenumber written by her/him is divisibleby 3? Remember that a number isdivisible by 3, if the sum of its digits isSol.divisible by 3.Q. |
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Answer» Probability is the study of the chances ofevents happening. Event: A Possible outcome or combination ofoutcomes is called event. The probability of happening our eventalways lies from 0 to 1. The sum of all the probabilities of allpossible outcomes of an experiment is 1. Required probability=number of trials inwhich the event E has happened/Total number of trials --------------------------------------------------------------------------------------------------------------------------------------- Suppose there are 40 students In a class. The probability of selecting any of thestudent= 40/40=1 A three digit number start from 100 to 999. Total number of 3 digit numbers= 999- 99=900 Now, Multiples of 3 in three digitnumbers={102, 105 .....999} Total numbers of multiples of 3 in threedigit numbers= 900/3=300 The probability that the number written byher/ him is divisible by 3= 300/900= 3/9=1/3 P(divisible by 3)= 1/3 |
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| 46. |
The diameter of a sphere is 42 cm. It is melted and drawn into acylindrical wire of diameter 28 cm. Find the length of the wire |
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| 47. |
15) The sum of one-fourth, one-ninth and one-thirdof a number is 25. Find the number. |
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Answer» 36 is a correct answer Let the number be x. X/4 + X/9 + X/3 = 25 9X+4X+12X / 36 = 2525X/36 = 25 So, X = 36 So, the number = 36 Ans. ... Please like my answer... number is 36.......... let no. be xx/4+x/9+x/3=259x+4x+12x/36=2525x/36sox=36 let the number be X. A/Q X/4 + X/9 + X/3 = 25 (9X + 4X + 12X)/36 = 25 25X/36 = 25 X = (25 ✖ 36)/25 X = 36 ( ANS ) every baoady plz like my answer x/9+x/4+x/3=24(9x+4x+12x)/36=2525x/36=25x=36the no. is 36 36 is the right answer 36 is the correct answer 36 is the correct answer number is 36 ok me toooo the right answer is 32 x/4+x/9+x/3= 25 (9x+ 4x+12x)/36=25 25x/36=25 x=(25×36)/25 therefore X =36.... 36 is the correct answer 36 is the correct answer of the following question 1/4+1/9+1/3=25; 9 + 4 +12/36=25; ; 25/36=25; ; 25=25×36,; 35 × 25/25 = 36 the answer of the following question is 36 X=36 is the correct answer for this question 1/4+1/9+1/3=259+4+12/36=2525/36=2525*36/2536 it's correct answer is 36 let the number be xX/4 + X/9 + X/3 =259x+4x+12x /36 =2525x/36 =25 X = 36 the number answer is 36 36 is the correct answer |
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| 48. |
17. The diameter of a sphere is 42 cm. It is melted and drawn into acylindrical wire of diameter 2.8 cm. Find the length of the wire. |
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| 49. |
12. One half of a number is equal to one third of its succeeding number. Find the first number. |
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| 50. |
One-half of a number added to one-third of it gives 25, find the number. |
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