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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. |
P increased his savings amount by 40 every month starting with Rs 540 for the 1st month. Q increased his savings by 30 every month starting from Rs 590 for the 1st month. Find the ratio of their savings after 8 months?1. 41 : 402. 40 : 413. 20 : 414. 41 : 31 |
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Answer» Correct Answer - Option 1 : 41 : 40 Given: P increased his savings amount by 40 every month starting with Rs. 540 for the 1st month. Q increased his savings by 30 every month starting from Rs. 590 for the 1st month. Formula: Ratio of Profit = ratios of product of Amount invested and time Calculation: Given, P increased his savings amount by 40 every month starting with Rs. 540 for 1st month P’s savings after 8 months = 540 + 7 × 40 = 540 + 280 = 820 Q’s savings after 8 months = 590 + 7 × 30 = 590 + 210 = 800 Required ratio = 820 : 800 ⇒ 41 : 40 ∴ The ratio of their savings after 8 months is 41 ∶ 40. |
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| 2. |
A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves the remainders 1, 2, 3, 4, 5, 6 and 7 respectively. The number is1. 18762. 17743. 16794. None of the above |
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Answer» Correct Answer - Option 3 : 1679 Given: A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves the remainders 1, 2, 3, 4, 5, 6 and 7 respectively Calculation: The common difference between the divisor and respective remainders = (2 - 1) = (3 - 2) = (4 - 3) =(5 - 4) = (6 - 5) = (7 - 6) = (8 - 7) = 1 LCM of 2, 3, 4, 5, 6, 7, and 8 = 840 The number = 840x - 1 The number lies between 1000 and 2000. So, x = 2 The number is = (840 × 2) - 1 1680 - 1 = 1679 ∴ The number is 1679 |
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| 3. |
If x : 1331 :: 8 : 121, then the value of y so that 176 : x :: y : 440, Then find the ratio of x : y1. 8 : 912. 1 : 10 3. 88 : 914. 91 : 88 |
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Answer» Correct Answer - Option 2 : 1 : 10 Given: x : 1331 :: 8 : 121 176 : x :: y : 440 Concept Used: If a : b :: c : d then ad = bc Calculation: x : 1331 :: 8 : 121 then 121x = 1331 × 8 x = (1331 × 8)/121 = 88 ⇒ x = 88 Substituting the value of x in 176 : x :: y : 440 176 : 88 :: y : 440 176 × 440 = 88y y = (176 × 440)/88 = 880 y = 880 Ratio of x : y = 88 : 880 = 1 : 10 ∴ The ratio of x : y = 1 : 10 |
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| 4. |
What should come in place of the question mark '?' in the following number series?2900, 2325, 1855, 1489, 1186.2, ?1. 712.952. 886.123. 953.964. 957.265. 912 |
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Answer» Correct Answer - Option 3 : 953.96 Given: 2900, 2325, 1855, 1489, 1186.2, ? Calculation: ⇒ 2900 × 0.8 + 5 = 2325 ⇒ 2325 × 0.8 – 5 = 1855 ⇒ 1855 × 0.8 + 5 = 1489 ⇒ 1489 × 0.8 – 5 = 1186.2 ⇒ 1186.2 × 0.8 + 5 = 953.96 ∴ The series will be 2900, 2325, 1855, 1489, 1186.2, 953.96 |
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| 5. |
Let p and q be the roots of the quadratic equation ` x^(2) - (alpha - 2) x -alpha - 1 = 0`. What is the minimum possible value of ` p^(2) + q^(2)` ? |
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Answer» Correct Answer - D Given equation is ` x^(2) - (alpha - 2) x - alpha - 1= 0` Sum of the roots, `p+q= alpha -2` Product of the roots pq ` =- alpha -1` Now, `p^(2) + q^(2) = (p+q)^(2) - 2pq` ` = (alpha-2)^(2) + 2 (alpha+ 1)` ` = alpha^(2) + 4 - 4alpha+2alpha+2 = (alpha-1)^(2) + 5` Hence, the minimum balue of `p^(2) + q^(2) ` will be 5 |
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| 6. |
Microstructure of hypoeutectoid steel at room temperature after cooling from 950°C is (a) Ferrite and austenite (b) Ferrite and pearlite (c) Austenite and pearlite (d) Cementite and lediburite |
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Answer» (b) Ferrite and pearlite |
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| 7. |
If one root of ` x^(2) + px+12 = 0` is 4, while the equation ` x ^(2) + px + q = 0` has equal roots, then the value of q isA. `49//4`B. ` 4//49`C. 4D. `1//4` |
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Answer» Correct Answer - A Given ` x^(2) + px + 12 = 0` Since, x = 4 is the one root of the equation, thererfore x = 4 will satisfy this equation `:. 16 + 4p+12 = 0 rArr p =- 7` Other quadratic equation becomes `x^(2) - 7x+ q = 0` (By putting value of p) Its roots are equal, so, `b^(2) = 4ac` ` rArr 49 = 4q or q = (49)/ 4` |
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| 8. |
Microstructure of hypereutectoid steel at room temperature after cooling from 1100°C is (a) Ferrite and austenite (b) Ferrite and pearlite (c) Austenite and pearlite (d) Cementite and pearlite |
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Answer» (d) Cementite and pearlite |
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| 9. |
What is the value of m which satisfies ` 3m^(2) - 21 m + 30 lt 0`?A. `m lt 2 or m gt 5`B. ` m gt 2`C. ` 2 lt m lt 5`D. ` m lt 5` |
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Answer» Correct Answer - C `3m^(2) - 21m + 30 lt 0` or `m^(2) - 7m + 10 lt 0` or ` m^(2) -5m - 2m + 10 lt 0" "` (factorize) or ` m(m-5)-2(m-5) lt 0` or ` (m-2)(m-5) lt 0` Case I: ` m -2 gt 0 and m - 5 lt 0` ` rArr m gt 2 and m lt 5 rArr 2 lt m lt 5` Case II: ` m - 2 lt 0 and m - 5 gt 0 rArr m lt 2 and m gt 5` nothing common Hence, ` 2 lt m lt 5` |
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| 10. |
Neoprene is the trade name of (a) phenol formaldehyde (b) polyurethane (c) polychlorophrene (d) styrene butadiene rubber (SBR) |
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Answer» (c) polychlorophrene |
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| 11. |
I. ` x^(2) - 463 = 321` II.` y^(2) - 421 = 308`A. if ` x gt y`B. if `x ge y`C. if ` x lt y`D. if x = y or the relationship cannot be established |
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Answer» Correct Answer - D I. ` x^(2) = 463 + 321 = 784` ` :. X = sqrt(784) = pm 28` II. ` y^(2) = 308 + 421 = 729` ` :. Y = sqrt(729) = pm 27` |
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| 12. |
I. ` 8x+y = 10` II.` 4x+2y = 13`A. if ` x gt y`B. if `x lt y`C. if `x ge y`D. if `x le y` |
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Answer» Correct Answer - B From both equation ` x = 7//12, y = 16//3` ` y gt x ` |
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| 13. |
Celluloid is (a) regenerated cellulose (b) cellulose nitrate (c) cellulose acetate (d) cellulose acetate butyrate |
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Answer» (b) cellulose |
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| 14. |
I. ` 6x^(2) + 13x = 12 - x` II. ` 1+2y^(2) = 2y + (5y)/ 6 `A. If ` x gt y`B. If ` x lt y`C. If ` x = y`D. If ` x le y` |
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Answer» Correct Answer - D I. ` 6x^(2) + 14x = 12` ` 3x^(2) + 7x - 6 = 0` ` (x+3)(3x-2) = 0 ` ` x = -3, 2/3` II. ` 1+2y^(2) = (17)/6 y` ` 12y^(2) - 17y+6 = 0` ` 12y^(2) - 8y- 9y+6 = 0` ` 4y(3y-2) - 3 (3y - 2) = 0` ` (3y-2) (4y-3) = 0` ` y = 2/3, 3/4` Hence, ` x lt y` |
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| 15. |
Which statement is correct (a) Gold has poor solubility in copper (b) Gold has good solubility in copper (c) Gold has no solubility in copper (d) Gold and copper are immiscible |
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Answer» (b) Gold has good solubility in copper |
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| 16. |
I. ` (3x-2)//y=(3x+6)//(y+16)` II.` (x+2)//(y+4) = (x+5)//(Y+10)`A. if ` x gt y`B. if `x lt y`C. if `x ge y`D. if `x le y` |
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Answer» Correct Answer - B `(3x-2)//y = (3x+6)//(y+16)` ` 48x - 8y = 32` ….(i) ` (x+2)//(y+4) = (x+5)//(y+10)` ` y = 2x` …(ii) From equation (i) & (ii) x = 1, y = 2 ` y gt x` |
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| 17. |
I. ` y^(2) + y - 1 = 4 - 2y - y^(2) ` II. ` x^(2)/2 - 3/2 x = x - 3`A. If ` x gt y`B. If ` x lt y`C. If ` x = y`D. If ` x ge y` |
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Answer» Correct Answer - A I. ` 2y^(2) + 3y - 5 = 0` ` 2y^(2) + 5y - 2y - 5 = 0` ` y(2y+5)-1(2y+5) = 0` ` (2y+5)(y-1) = 0` ` y = (-5)/2 , 1` II. ` x^(2) - 3x = 2x - 6` ` x^(2) - 5x + 6 = 0` `x^(2) - 3x - 2x + 6 = 0` ` x(x-3) -2(x-3) = 0` `(x-3)(x-2) = 0` ` x = 3, 2` Hence, ` x gt y` |
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| 18. |
Cellulose is the main contituent of most __________ fibres. (a) acrylic (b) synthetic (c) spandex (d) natural |
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Answer» Cellulose is the main contituent of most natural fibres. |
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| 19. |
__________ tubes are good substitude for human blood vessels onrheart by-pass operation. (a) PVC (b) Teflon/dacron (c) Polythene (d) Polystyrene |
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Answer» (b) Teflon/dacron |
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| 20. |
Due to its excellent permeability to air/gas and oxidation resistance, the tubes of automobile tyres is made of(a) butyl rubber (b) cold SBR (c) Bunai N (d) Buna S |
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Answer» (a) butyl rubber |
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| 21. |
` 3x^(2) + 11x + 6 = 0` ` 3x^(2) + 10y + 8 = 0`A. ` x gt y`B. ` x lt y`C. ` x ge y`D. x = y or relation cannot be established |
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Answer» Correct Answer - D ` 3x^(2) + 11x + 6 =0` ` 3x^(2) + 9x + 2x + 6 =0` ` x = -0.66, -3` ` 3y^(2) + 10y + 8 = 0` ` 3y^(2) + 6y + 4y + 8 = 0` ` y = - 1.33, -2` Put on number line ` -3,-2, - 1.33, -0.66` |
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| 22. |
I. ` x^(2) +20x + 4 = 50 -25x` II. ` y^(2) - 10y - 24 = 0`A. if ` x gt y`B. if `x lt y`C. if `x ge y`D. if `x le y` |
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Answer» Correct Answer - B From the given equation ` x = 1, - 46 & y =- 4,6` ` y gt x ` |
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| 23. |
I. ` 4x^(2) - 20x+ 19 = 4x - 1` II. ` 2y^(2) = 26y+ 84`A. If ` x gt y`B. If ` x lt y`C. If ` x = y`D. If ` x ge y` |
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Answer» Correct Answer - B I. ` 4x^(2) - 24x+20 = 0` ` x^(2) - 6x + 5 = 0` ` x^(2) - 5x - x + 5 = 0` ` x(x-5)-1(x-5) = 0` ` (x-5)(x-1) = 0` ` x = 5, 1` II. ` y^(2) - 13y+42 = 0` ` y^(2) - 7y-6y+42 = 0` `y(y-7)-6(y-7) = 0` ` (y-7)(y-6) = 0` ` y = 7, 6` Hence, ` y gt x`. |
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| 24. |
I. `x = sqrt([(36)^(1//2) xx(1296)^(1//4)])` II.` 2y+3z = 33` III. ` 6y+5z = 71`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y gt z ` |
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Answer» Correct Answer - B `x = sqrt((36)^(1/2)xx(1296)^(1/4))=sqrt(6xx6) = pm 6` By equation `II xx 3 -` equation III `{:(6y+9z=99),(6y+5z=71),(--" "-),(bar(4z" " = 28)):}" "rArr z = 9` From equation II, ` 2y+3 xx 7 = 33` ` rArr 2y = 33 - 21 =12` ` rArr y = 6` ` x le y lt z` |
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| 25. |
I. ` (x+y)^(3) = 1331" "` II. ` x - y + z = 0` III. ` xy = 28`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y = z or if none of the above relationship is established |
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Answer» Correct Answer - D I. ` (x+y)^(3) = 1331` ` rArr x + y = 11` ` rArr y = 11 - x` From equation III, ` x (11-x) = 28` ` rArr x^(2) - 11x + 28 = 0` ` rArr x^(2) -7x - 4x + 28 = 0` ` rArr x (x -7) -4(x-7) = 0` ` rArr (x-7)(x-4) = 0` ` rArr x = 7, 4` From equation I ` y = 4, 7` From equation II ` 7-4+z = 0 rArr z =- 3` ` 4-7+z =0 rArr z = 3` |
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| 26. |
(i) ` x^(2) + 6x + 5 = 0` (ii) ` y^(2) -10y+21 = 0`A. x = y or no relation can be established between x and y.B. ` x le y`C. ` x ge y`D. ` x lt y` |
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Answer» Correct Answer - D (i) ` x^(2) + 6x + 5 = 0` ` x^(2) + x + 5x + 5 = 0` ` x(x+1) +5(x+1) = 0` ` (x+5) (x + 1) = 0` ` x = -5, -1` (ii) ` y^(2) - 10y + 21 = 0` ` y^(2) - 7y - 3y + 21 = 0` ` y(y -7) - 3 ( y -7) = 0` ` ( y - 3) ( y - 7) = 0` ` y = 3, 7` ` :. y gt x ` |
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| 27. |
I. ` x^(2)/2 + x - 1/2 = 1` II. ` 3y^(2) - 10y + 8 = y^(2) + 2y - 10`A. If ` x gt y`B. If ` x lt y`C. If ` x = y`D. If ` x ge y` |
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Answer» Correct Answer - B I. ` x^(2) + 2x - 1 = 2` ` x^(2) + 2x - 3 = 0` ` x + 3x - x - 3 = 0` ` x (x + 3) -1(x+3) = 0` ` (x+3)(x-1) = 0` ` x =- 3, 1` ` II. 2y^(2) - 12y+18 = 0` ` y^(2) - 6y + 9 = 0` ` (y-3)^(2) = 0` ` y =3, 3` Hence, ` y gt x` |
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| 28. |
I. ` 7x + 6y + 4z = 122` II. ` 4x+5y + 3z = 88` III. ` 9x+2y + z = 78`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y gt z ` |
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Answer» Correct Answer - A ` 7x+6y+4z = 122` …(i) ` 4x+5y+3z = 88` …(ii) ` 9x + 2y + z = 78` …(iii) By equation (iii) `xx` 3 - equation(ii), `{:(27x+6y+3z = 234),( 4x + 5y + 3z = " "88),(-" "-" "-" "-),(bar(" "23x+y=146)):}" "` ....(iv) By equation (iii) ` xx 4 -` equation (i), `{:(36x+8y+4z=312),(7x+6y+4z=122),(-" "-" "-" "-),(bar(" "29x+2y=190)):}" "` ....(v) By equation (iv) ` xx 2 -` equation (v), `{:(46x+2y=292),(29x+2y=190),(-" "-" "-),(bar( " "17x=102)):}" "`...(iv) ` rArr x = 6` From equation (iv), ` 23 xx 6 +y = 146` ` rArr y = 146 - 138 = 8` From equation (iii), ` 9 xx 6 + 2 xx 8 + z = 78` ` rArr 54+ 16 - z = 78` ` rArr z = 78 - 70 = 8` Clearly, ` x lt y = z ` |
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| 29. |
(i)` x^(2) -18x+72 = 0` (ii)` y^(2)=36`A. `x ge y`B. ` x le y`C. ` x gt y`D. x = y or no relation can be established between x and y. |
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Answer» Correct Answer - A (i) ` x^(2) - 18x + 72 = 0` ` x^(2) - 12x - 6x + 72 = 0` ` x(x-6) (x-12) = 0` ` x = 6, 12` (ii) ` y^(2) = 36` ` y = pm 6` ` :. X ge y` |
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| 30. |
`1/(x+4) - 1/(x-7) = 11/30` ` 1/(y-3) + 1/(y+5) = 1/5`A. `x gt y`B. ` x lt y`C. ` x ge y`D. x= y or relation cannot be established |
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Answer» Correct Answer - D ` 1/(x+4) - 1/(x-7) = 11/30` ` x = 1,2` ` 1/(y-3)-1/(y+5) = 1/3` ` y =- 3,7` |
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| 31. |
` 7x + 6y + 4z = 122` ` 4x + 5y + 3z = 88`A. `x gt y`B. ` x lt y`C. ` x ge y`D. ` x le y` |
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Answer» Correct Answer - A ` 7x+6y + 4z = 122 …………..(1)` ` 4x+5y+3z = 88 …………….(2)` ` 9x + 2y + x = 78 ……………….(3)` From (1) and (2) `rArr 5x -2y = 4-(a)` From (2) and (3) ` rArr 23x+y = 146 -(b)` From (a) and (b) ` rArr x = 6, y = 8`. Put values in eqn (3) ` rArr z = 8` |
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| 32. |
(i)` 2x^(2)-17x+21 =0` (ii)` 5y^(2)-32 + 35 = 0`A. `x lt y`B. ` x gt y`C. x = y or no relation can be established between x and y.D. ` x le y` |
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Answer» Correct Answer - C (i) ` 2x^(2) - 17x + 21 =0` ` 2x^(2) - 14x - 3x + 21 = 0` ` 2x(x-7) -3 ( x -7) = 0` ` (2x -3) (x-7) = 0` ` x = 3/2 , 7` (ii) ` 5y^(2) - 32y+35 = 0` ` 5y^(2) - 25y - 7y + 35 = 0` ` 5y(y-5) -7(y-5) = 0` `(5y-7) (y-5) = 0` ` y = 7/5, 5` `:. ` No relation can be established between x and y |
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| 33. |
(i)` 7x^(2) + 16x - 15 = 0` (ii) ` 5y^(2)+ 8y - 21 = 0`A. ` x lt y`B. `x ge y`C. ` x gt y`D. x = y or no relation can be established between x and y |
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Answer» Correct Answer - D (i) ` 7x^(2) + 16x-15 = 0` ` 7x^(2) + 21x - 5x -15 = 0` ` 7x(x+3) -5(x+3) = 0` `(7x-5)(x+3) = 0` ` x = 5/7, -3` (ii) ` 5y^(2) + 8y - 21 = 0` ` 5y^(2) + 15y - 7y - 21 = 0` ` 5y(y+3) -7(y+3) = 0` ` (5y - 7) (y + 3) = 0` ` y = 7/5, -3` `:. ` No relation can be established between x and y. |
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| 34. |
I.` 10x^(2) + 33x + 27 = 0` II. ` 5y^(2) + 19y + 18 = 0`A. `x gt y`B. ` x ge y`C. ` x lt y`D. Relationship between x and y cannot be determined |
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Answer» Correct Answer - B I. `10x^(2)+33x+27=0` `rArr10x^(2)+15x+18x+27=0` `rArr5x(2x+3)+9(2x+3)=0` `rArr(5x+9)(2x+3)` `thereforex=-9//5,-3//2` II . `5y^(2)+19y+18=0` `5y^(2)+10y+9y+18=0` `5y(y+2)+9(y+2)=0` `(5y+9)(y+2)` `thereforey=-9//5, -2` `thereforexgey` |
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| 35. |
I.` (x-18)^(2) = 0" "II. Y^(2)=324`A. if `x gt y`B. if `x ge y`C. if ` y gt x `D. if ` y ge x` |
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Answer» Correct Answer - B `(x-18) (x-18) = 0` ` rArr x = 18` II. ` y = pm 18` ` :. X ge y` |
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| 36. |
A sum of money is sufficient to pay Shiv's wage for 12 days and Raghav's wage for 15 days.The same money is sufficient to pay the wage of both for1. \(\textstyle 3 \dfrac32\)days2. \(\textstyle 6 \dfrac23\) days3. \(\textstyle 2 \dfrac32\) days4. \(\textstyle 2 \dfrac23\) days |
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Answer» Correct Answer - Option 2 : \(\textstyle 6 \dfrac23\) days Calculation: Shiv's 1-day work = 1/12 Raghav's 1 day work = 1/15 Total work done by both ⇒ 1/12 + 1/15 =(5 + 4)/60 = 9/60 = 3/20 ∴ Amount is sufficient to pay 20/3 = \(\textstyle6 \dfrac 2 3\) days |
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| 37. |
Three type of Rice mxied together. Their volumes are in the proportion 5,4 and 3 respectively and the weight of equal volunes are in proportion of 6,5 and 4 respectively. What is the wight of the rice of the first type if the wight of the mixture is 248kg ?A. 120kgB. 119kgC. 110kgD. 118kg |
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Answer» Correct Answer - A Ratio of weight of three types of rice `=(5xx6):(4xx5):(3xx4)=15:10:6` Weight of type one rice `=248xx(15//31)=120kg`. |
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| 38. |
(i)` x^(2) -18x+72 = 0` (ii)` y^(2)=36`A. `x ge y`B. ` x le y`C. ` x gt y`D. x = y or no relation can be established between x and y. |
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Answer» Correct Answer - A (i) ` x^(2) - 18x + 72 = 0` ` x^(2) - 12x - 6x + 72 = 0` ` x(x-6) (x-12) = 0` ` x = 6, 12` (ii) ` y^(2) = 36` ` y = pm 6` ` :. X ge y` |
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| 39. |
I. ` 2x+3y=14` II. ` 4x+2y=16`A. if ` x ge y,`i.e., x is greater than or equal to y.B. if `x gt y`, i.e., x is greater than y.C. if ` x le y`, i.e., x is less than or equal to y.D. if ` x lt y`, i.e., x is less than y. |
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Answer» Correct Answer - D ` 2x + 3y = 14` ..(I) ` 4x+2y= 16` …(II) By equation (I)` xx ` 2 - equatio II. ` 4x+6y-4x-2y= 28 - 16 ` ` rArr 4y = 12 rArr y = 3` From equation I, ` 2x+3 xx 3 = 14` ` rArr 2x = 14 - 9 = 5 rArr x = 5/2` Here, ` y gt x` |
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| 40. |
I. ` x^(2) + 20=9x` II. ` y^(2)+42=13y`A. if ` x ge y,`i.e., x is greater than or equal to y.B. if `x gt y`, i.e., x is greater than y.C. if ` x le y`, i.e., x is less than or equal to y.D. if ` x lt y`, i.e., x is less than y. |
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Answer» Correct Answer - D I. ` x^(2) - 9x + 20 = 0` ` rArr x^(2) - 5x - 4x+20= 0` ` rArr x(x-5)-4(x-5)= 0 =(x-4)(x-5) = 0` ` x = 4 or 5` II. ` y^(2) - 13y+42 = 0` ` rArr y^(2) - 7y-6y+42 = 0` ` rArr y(y-7)-6(y-7) = 0 ` ` rArr (y-6) (y-7) = 0` ` rArr y = 6 or 7` Here, ` y gt x` |
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| 41. |
I. ` 7x + 6y = 110` II. ` 4x + 3y = 59` III.` X + z = 15`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y gt z ` |
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Answer» Correct Answer - C By equation (II) ` xx 2 -` equation (I) We get x = 8 From equation (I), ` 7 xx 8 + 6y = 110` ` rArr 6y = 110 - 56 = 54` ` rArr y =9` From equation (iii), ` 8 + z = 15 rArr z = 7` Clearly, x lt y gt z` |
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| 42. |
A mixture of milk and water in a jar contains 28 L milk and 8 L water. X milk and XL water are mixed to form a mixture. If `40%` of the new mixture is 20 L, then find the value of X.A. 7LB. 8LC. 6LD. 5L |
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Answer» Correct Answer - A According to question, `40%` of new mixture `=20L` `100%` of new mixture `=(20)/(40)xx100` `50L` `28+x+8+x=50` `2x=50-36` `x=7L` |
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| 43. |
I. ` (x^(7//5) div 9) = 169 div x^(3//5)` II. ` y^(1//4) xx y^(1//4) xx 7 = 273 div y^(1//2) `A. if`x gt y`B. if `x ge y`C. if `x lt y`D. if `x le y` |
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Answer» Correct Answer - D I. ` x^(7//5) div 9 = 169^(1) x^(3//5)` ` (x^(7//5))/9 = (169)/x^(3//5) ` ` rArr x^(10//5) = 9 xx 169 rArr x^(2) = 9 xx 169` ` x = pm (3 xx 13) = pm 39` II. ` y^(1/4) xx y^(1//4) xx 7 = (273)/y^(1//2) ` ` y = (273)/ 7 = 39` ` x le y` |
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| 44. |
I. ` x = sqrt(625)` II. ` x = sqrt(676)`A. if ` x ge y,`i.e., x is greater than or equal to y.B. if `x gt y`, i.e., x is greater than y.C. if ` x le y`, i.e., x is less than or equal to y.D. x = y or no relation can be established between x and y |
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Answer» Correct Answer - D I. ` x = sqrt(625) = pm 25" "II. Y = sqrt(676) = pm 26` No relation can be established between x and y. |
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| 45. |
I. ` I.((2)^(5)+(11)^(3))/6 = x^(3) ` II. ` 4y^(3) =- (589 div 4) + 5y^(3)`A. if`x gt y`B. if `x ge y`C. if `x lt y`D. if `x le y` |
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Answer» Correct Answer - A I. `((2)^(5)+(11)^(3))/6 = x^(3) ` ` rArr (32 + 1331)/6 = x^(3) rArr (1363)/ 6 = x^(3) ` ` :. X ^(3) = 227.167` II.` 4y^(3) = (-589)/ 4 + 5y^(3) rArr (589)/4 = y^(3)` `:. Y^(3) = 147.25 :. X gt y` |
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| 46. |
I. ` 2x^(2) + 11x+ 12 = 0` II. ` 2y^(2) + 19y + 45 = 0`A. if` x gt y`B. if ` x lt y`C. if ` x le y`D. if ` x ge y` |
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Answer» Correct Answer - A ` (2x+8)(2x+3) = 0` `X - 8/2, -3/2 =- 4, -1.5` ` (2y+10)(2y+9) = 0` ` Y = - 10/2, 9/2 =- 5, -4.5` ` -1.5, -4, -4.5, -5` ` rArr x gt y` |
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| 47. |
I.` x^(2) + 4x = 21` II` y^(2) - 6y + 8 = 0`A. ` x gt y`B. `y gt x`C. ` x ge y`D. x = y or a relationship between x and y cannot be established. |
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Answer» Correct Answer - D `(x-3)(x+7)=0rArrx=+3,-7` `(y-4)(y-2)=0rArry=+4,+2` No relation |
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| 48. |
` x(35-x) = 124` ` y(2y+3) = 90`A. `x gt y`B. ` x lt y`C. ` x ge y`D. x = y or relation cannot be established |
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Answer» Correct Answer - D ` x(35-x)= 124` ` x = 31,4` ` y(2y+3)= 90` ` y = -7.5,6` |
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| 49. |
I. ` x^(2) + 4x+4 = 0` II. ` y^(2) - 8y + 16 = 0`A. if ` x ge y,`i.e., x is greater than or equal to y.B. if `x gt y`, i.e., x is greater than y.C. if ` x le y`, i.e., x is less than or equal to y.D. if ` x lt y`, i.e., x is less than y. |
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Answer» Correct Answer - D I. ` x^(2) + 4x + 4 = 0` ` (x+2)^(2)= 0 rArr x =- 2` ` II. Y^(2) - 8y + 16 = 0` ` rArr (y-4)^(2) = 0` ` rArr y = 4` Here, ` y gt x` |
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| 50. |
A mixture contains milk and honey in the ratio `7:1`. On adding 6 litre of honey, the ratio of milk to honey becomes `7:2` the quantity of milk in the mixture is ?A. 40lB. 50lC. 44lD. None of these |
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Answer» Correct Answer - D Let milk and honey are `=7x:x` Now, `(7x)/(x+6)=(7)/(2)rArr 14x=7x+42` `x=6` `rArr 42:6 " " 42:12` Before mixture | After mixture Quantity of milk `=42 l`. |
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