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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. |
167EXERCISE 7.2ind the coordinates of the point which divides the join of (-1, 7) and (4, -3) in theatio 2:3. |
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| 2. |
8. If three times the larger of two numbers is divided by the smaller, weget 4 as the quotient and 8 as the remainder. If five times the smaller isdivided by the larger, we get 3 as the quotient and 5 as the remainder.Find the numbers.fo n numbers their ratio becomes 1:2. |
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| 3. |
What about the last two terms? Observe them. If you change their-9x+ 6, the factor (3x-2) will come out9x+ 6-3 (3x) +3(2)s 3(3x-2)Step 3Putting (a) and (b) together,2y (3x-2)-3 (3x- 2)(3x- 2) (2y-3)The factors of (Gxy- Ay + 6-9 x) are (3s- 2) and (2y-3),EXERCISE 14.1I. Find the common factors of the given terms.0) 12x, 36(ii)2y, 22xy(iii)14 pq, 28p?q2 |
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Answer» i)factors of12x=2 , 3, 6, 12, x , 2x ,3x , 6x , 12x36=2,3,6,9,12,18,36common factors=2,3,6,12ii)factors of2y=2,y,2y22xy=2,11,22,x,y,2x,2y,11x,11y,22x,22y,xy,2xy,11xy,22xycommon factors=2,y,2y |
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| 4. |
(3x-2y)2+3 (3x-2y)-10 |
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Answer» (3x-2y)^2+3(3x-2y)-10 9x^2-12xy+4y^2+9x-6y-10 9x^2-6xy-6xy+4y^2+15x-6x-10y-4y-10 9x^2-6xy+15x-6xy+4y^2-10y-6x-4y-10 3x(3x-2y+5)-2y(3x-2y+5)-2(3x-2y+5) therefore, factors are... (3x-2y+5)(3x-2y-2).. |
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| 5. |
, A class consists of 60 boys and 40 girls. In how many ways can a president, vice presidensecretary and treasurer can be chosen if the secretary must be a boy, the treasurer mube a girl and a student may not hold more than one office? |
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Answer» secretary must be boy so secretary can select 60 ways treasurer must be girl so treasurer can select 40 ways now no one can hold more than one position so president can select 98 ways and vice president can select 97 ways so total number of ways = 60×40×98×97 = 22814400 |
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| 6. |
how many ways can a student choose a programme of 5 courses if 9 courses are availableand 2 specific courses are compulsory for every student? |
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| 7. |
25. 120+25.--+-= 1 1 , then x ==11, then x =x |
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| 8. |
\frac{4 x^{2}+5}{4 x^{2}+25}+\frac{20}{4 x^{2}+25}= |
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Answer» the answer is wrong |
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| 9. |
8-3 (z- )= 2z + & |
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| 10. |
z=x+iy and |z+6|=|2z+3| prove that x^2+y^2=9 |
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| 11. |
find the angle between the plane's 2x-y+z=6 and x+y+2z=7 |
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| 12. |
The measure of four angles of a quadrilateral are (x + 10), (x 10), (x -25),(r 25) respectively. Then find the measure of all these angles. |
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| 13. |
CHAPTER NCPERCEN6.If 16-% of a number is added with itself thenresult becomes 4956. Find the original number.डा जाए तो प्राप्त संख्यायदि किसी संख्या में उसका4956 हो जाती है। संख्या ज्ञात करें।(a) 4248 (b) 4125 (c) 4215(d) 145872. If65% of a nura number is subtracted from itself thenresult becomes 5670. Find the original number.यदि किसी संख्या में से उसका 65% घटाया जाए तो 5670 प्राप्त ।होता है। संख्या ज्ञात करें।(a) 7015 (b) 8102 (c) 6075 (d) 50123. If 11% of a number is added with itselr themeresult becomes 900. Find the original numberपर किसी संख्या मे उस |
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Answer» Let the number be X. ER. RAVI KUMAR ROY A/Q 16(2/3)% of X + X = 4956 (50X/(3 x 100)) + X = 4956 50X/300 + X = 4956 X/6 + X = 4956 7X/6 = 4956 X = (4956 x 6)/7 X = 4248 (ANS) |
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| 14. |
Simplify :\frac{2 x^{-5 / 2} \times 7 x^{-3 / 4}}{x^{-1 / 4}} |
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| 15. |
70cutive even numbers who sum is 246,7. Two numbers are such that the ratio betthe new numbers so formed i5 7. Find the original numbersThe sum of the digits of athat the ratio between them is 3:5. If each is increased by 10, the ratio betweenAn equaticquantitiesSame nur |
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Answer» Let the two numbers are x and ythen,x/y = 3/5x=(3y) /5. ......(1) also,(x+10)/(y+10) = 5/77(x+10)=5(y+10)7x = 5y+50-70=5y-20put the value of x from eq. (1)7(3y/5) =5y - 2021y =25y - 10025y-21y = 100y = 100/4y =25 put the value of y in eq.(1) x = (3×25)/5x=15 hence , the numbers are 15 and 25 I hope this will help you... please mark as expert |
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| 16. |
15. Two numbers are in the ratio 7:11. If 7 is added to each of the numbers, the ratio becomes 2:3Find the numbers.were in the |
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| 17. |
1.e the following pair of linear equations by the substitution method(ii) s-t-3x-y = 463 20.4x + 0.5y = 2.33x 5yх у 13(n 3x -y-3(iv) 0.2x + 0.3y 1.39x-3y = 922x+3y(vi) |
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Answer» please do others questions |
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| 18. |
2. Write a statement for each of the equations, given below:(iii) 1 1 + 3x = 17(i) x -7 14(iv) 2x-3=13(ii) 2y=18(v) 12y-30=62z--8(vi)3 |
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| 19. |
State which of the two triangles given in the figure are similar. Alsip state the similaritycriterion used..6-ean3 em12 em0 crcny1 aE4.5 cm |
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Answer» For given triangles no two triangles are similar as none of these follow similarly criteria of SSS, SAS, ASA, RHS |
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| 20. |
b) 23 Ă 34Ă43 x 32 |
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| 21. |
5. Explain why 3 x 5 x 7 + 7 is a composite number. |
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Answer» A composite number is a number that is divisible by another number other than by itself and one. The number 2 is the only even prime number. All other even numbers are composite numbers. As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number. Also, 112 is divisible by other numbers such as 2, 4, 7, 8, 14, 16, 28 and 56 apart from itself (112) and 1. |
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| 22. |
7(2 x+3)+8(5 x+1)=13(3 x+5)+4(x+2) |
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Answer» 14x+21+40x+8 = 39x+65+4x+8 54x+29 = 43x+73 11x = 44 so x=4 |
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| 23. |
(4*(x %2B 3))/2 %2B (4*(x %2B 3))/2=15 |
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Answer» denominator 2 is common. so numerator is added. then send two to the the rhsside. it becomes 30.if u solve it answer is 3/4 |
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| 24. |
\frac { 8 } { 5 } x + \frac { 11 } { 7 } y + \frac { 9 } { 4 } x y , - \frac { 3 } { 2 } x - \frac { 5 } { 3 } y - \frac { 9 } { 5 } x |
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Answer» Question you have submitted is incomplete. Please post a complete question. ok |
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| 25. |
Explain why 3 x 5 x 7+7 is a composite number |
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Answer» composite number is a number that is divisible by another number other than by itself and one. The number 2 is the only even prime number. All other even numbers are composite numbers. As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number. Also, 112 is divisible by other numbers such as 2, 4, 7, 8, 14, 16, 28 and 56 apart from itself (112) and 1. |
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| 26. |
\frac { 4 x + 8 } { 5 x + 8 } = \frac { 5 } { 6 } |
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Answer» the given fraction is (4x+8)/(5x+8) = 5/6. so, on cross multiplication => 6(4x+8) = 5(5x+8) => 24x + 48 = 25x + 40 => 25x-24x = 48-40 => x = 8 the value of x is 8. on cross multiply we get-- 6(4x+8)= 5(5x+8)24x+48=25x+4025x-24x=48-40x=8 |
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| 27. |
36. Find the value of1.52.597.Find- on number line.7324Simplify 2 |
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| 28. |
B) Represent the following on the number line72534iv) ,2.iii) |
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Answer» wrong |
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| 29. |
3 %2B 3 %2B 3*3 |
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Answer» 3+3×3+3=3+9+3=15your answer is 15plz like my answer 3+3×3+36×636 is the answer |
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| 30. |
Question 1.(a) Find the value of âx' and ây, if :6-71 10 79y--5 | + | 4 5|=| 2215 |
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Answer» thanks sir I was just trying this app |
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| 31. |
(b) (-10)°(655 |
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Answer» ((-5)²)³ = (-5)^6 = 5^6 Like my answer if you find it useful! |
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| 32. |
Show that 7 + 3 Ă 5 x 7 is a even number. |
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Answer» 7+15*77+105112as the last digit is 2it's an even number |
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| 33. |
7-47. Show that limdoes not exist. |
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| 34. |
Show that 7+3 x 5 x 7 is a even number |
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Answer» As 7(1+3*15)= 112as it's a even number as last digit of this number is 2 |
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| 35. |
x-3.32x-8 -225 |
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| 36. |
5^{x-3} \times 3^{2 x-8}=225 |
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| 37. |
- ( - 225 ) \times 8 |
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Answer» (-225) × 8= - 1800 |
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| 38. |
Find the value of 2, if 57-3 X 32-8 = 225. |
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Answer» 5^x-3. 3^2x-8 = 225We can write 225 as follows:-225 = 3 × 75= 3 × 3 × 25= 3 × 3 × 5 × 5∴ 5^x-3. 3^2x-8 = 5²×3²Compare both,5^x-3=5² | 3^2x-8=3²Bases are equal exponents must be equal.x-3=2. | 2x-8=2x=5. | 2x=10,x=5 Therefore,the value if x is 5 |
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| 39. |
3^(2*x - 8)*5^(x - 3)=225 |
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Answer» By comparison of powers as base are same thanks |
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| 40. |
Show that 7+3 x 5 x7 is a even number. |
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| 41. |
25x5 <1. Ž 10 % ¢* |
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Answer» 25*5^2 *t^8/10^3*t^4= (5)^[2+2]*t^[8-4]/(2*5)^3= (5)^[4-3]*t^4 /8= 5t^4/8 |
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| 42. |
Q1. 350+ 10 â< |
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Answer» When 350 ÷ 10350/10 = 35 350 = 10* Q + R350 = 10*35 + 0 Therefore Q = 35, R = 0 |
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| 43. |
(2*(-5*x %2B 4) %2B 3*(x %2B 4))/(-2*x %2B 3)=2 |
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| 44. |
-x %2B x^3 - 4*x^2 %2B 1=(x %2B 2)^3 |
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Answer» x3– 4x2– x + 1 = (x – 2)3 We have: x3– 4x2– x + 1 = (x – 2)3 ⇒ x3– 4x2– x + 1 = x3+ 3x2(– 2) + 3x(– 2)2+ (– 2)3 ⇒ x3– 4x2– x + 1 = x3– 6x2+ 12x – 8 ⇒ x3– 4x2– x – 1 – x3+ 6x2– 12x + 8 = 0 2x2– 13x + 9 = 0 Since 2x2– 13x + 9 is a quadratic polynomial ∴ x3– 4x2– x + 1 = (x – 2)3is a quadratic equation. |
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| 45. |
(text*((b*y)*(x^2 - 2*x %2B 3)))*(3*x %2B 5*x^3 - 4*x^2 %2B 18) |
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| 46. |
2 %2B 3/x %2B 4/x^2 %2B 5/x^3 |
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| 47. |
3/(x %2B 3) %2B 4/(x - 3) - 24/(x - 9) |
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Answer» 4(X+3)+3(x-3)/x^2-9-24/x^2-9=4x+12+3x-3/x^2-9-24/x^2-9=7x-9-24/x^2-9=7x-33/x^2-9 |
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| 48. |
7. Locate 10/ on number line. |
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Answer» no it's wrong |
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| 49. |
1.Classify as rational or irritional.1) 2√7/7√7 2) √225 |
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| 50. |
225=-7/25×50 |
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Answer» 225=-7/25×50225=-7×2225=-14 |
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