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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. |
eling picof 10 pen its is equal to the cont price of 12 peneils then the gain percent isnd17)5) d |
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Answer» 10SP=12CPCP=5/6SP so SP=6/5CPso gain=(6/5CP-CP)/CP=1/5*100=20% |
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| 2. |
4.Find the missing number (?) in thefollowing sequence.2, 5, 10, 17,?, 37(A) 20(C) 25(B) 26(D) 16 |
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| 3. |
Find the zeroes of the given polynomials.\left. \begin{array} { l l } { p ( x ) = 3 x } & { \text { (ii) } p ( x ) = x ^ { 2 } + 5 x + 6 } \\ { p ( x ) = ( x + 2 ) ( x + 3 ) } & { \text { (iv) } p ( x ) = x ^ { 4 } - 16 } \end{array} \right. |
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| 4. |
x+y \text { if } \left[ \begin{array}{c}{2 x+y} & {4 x} \\ {5 x-7} & {4 x}\end{array}\right]=\left[ \begin{array}{cc}{7} & {7 y-13} \\ {y} & {x+6}\end{array}\right] |
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Answer» tku x=2y=3as solved above in the picture posted please like |
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| 5. |
x + y \text { if } \left[ \begin{array} { c c } { 2 x + y } & { 4 x } \\ { 5 x - 7 } & { 4 x } \end{array} \right] = \left[ \begin{array} { c c } { 7 } & { 7 y - 13 } \\ { y } & { x + 6 } \end{array} \right] |
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| 6. |
\left. \begin{array} { r } { 1 - 2 x + 3 y - 52 } \\ { - 4 x + 5 y - 2 } \\ { 5 x + 4 y - 32 } \\ \hline \end{array} \right. |
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| 7. |
STx 891 x ¥ [फ्र |
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Answer» 4x168x25168x4x25168x10016800 |
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| 8. |
VR eAकि 34SP) (3/4/1V |
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Answer» (3/4)^5 / (5/3)^5=[(3/4)/(5/3)]^5= (3/4/5/3)^5 (A) is correct option |
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| 9. |
at a ăte of 6 Pens feo Rs 1 pind 'n e profit- |
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Answer» Cost price of 9 pens = Rs 10 Selling price of 6 pens = Rs 7 Then selling price of 9 pensSP = 7*9/6 = 21/2 = 10.5 Therefore, Profit %= [(10.5 - 10)/10]×100= .5*10= 5% |
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| 10. |
Solve the following equations.1. N-2572. vr 3-10175. 6x = 12S21-188.1.6 = 1.5 |
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Answer» 1..x=9.2y=7.4x=20/7.5x=2.x=27.y=2.40 |
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| 11. |
LA 3-digit number is to be formed using the digi4. 7, 8 and 2 without repetition. What is thprobability that it is an odd number?urlA UINحساب در | |
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Answer» option A is a correct answer option A is correct answer option A is correct answer. the correct answer is option a I know that you are confusing us Right answer is 3/5 |
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| 12. |
बिना दोहराये निम्नलिखित अंकों का प्रयोग करके चार अंकोंकी सबसे बड़ी और सबसे छोटी संख्या लिंखिए।Use the following digit without repetition and write thegreatest and the 4-digit number.(a) 3,4,7,8 (b) 9,7,7,1 (c) 4,7,5,0| (d) 1,7,6,2 (e) 5,4,0,3। |
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Answer» a. 3478, 8743b.1779, 9771c.4057, 7540d.1267, 7621e. 3045, 5430 a.3478, 8743B. 1779, 9771c. 4057, 7540d.1267, 7621e. 3045, 5430 |
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| 13. |
ner LeM is 12x.15. The ages of A and B are in the ratio 8:3. Six years hence, their ages will be in the ratio 9 :4.Find their present ages |
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| 14. |
In the 4 x 5 array given below. place the numbers from 1 to 20 (without repetition) so that a sequence (chain ofnumbers) is obtained from 1 to 20. You can move to the adjacent cell to the left, right, up or down but notuvagonally. The positions of the numbers that already exist are fixed. |
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| 15. |
mind got a toy from the market of Rs. 340 and she sell it to her friend for Rs 430.How much did she gain and what percent. |
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Answer» 110 she gain 110 after selling Cp=340Sp=450Gain=450-340=110Gain%=110/340*100=32.35% she gain 110 after selling gain %=32.35%....is the gaining percent she gains rs.110 by 32.5 % she gains rs. 110 by 32.5% gaining amount 110 and gain percent 32.5% amount 110gain percent 32.5% is the correct 110 she gain after selling |
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| 16. |
24 2eTLNTRY VR 17. Zxi3y=11 =3, 254R B 8. रस 7९-५2 i S - O |
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Answer» 2x+3y=112x-4y=-24Subtracting second from first,7y=35y=35/7y=5x=-2 |
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| 17. |
t (sec.)32|v = u + at (n) /su (m/s) a (m/s2)20 |
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Answer» hi |
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| 18. |
B RS R T VR न... e /मे 8: 3, 15, 27, 39, . . . का कौन-सा पद उसके 54वें पद से 132 अधिक होगा?k) e e |
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Answer» like if you find it useful like if you find it useful |
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| 19. |
8. The respective ratio of the ages ofShami, Nammi and Pammi is3:4:5. The sum of their ages is 48years. What will be the respectiveratio of their ages 8 years hence?(a) 4:5:6 . (b) 5:6:7(c) 5:7:8 (d) 6:7:8 |
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Answer» option b is the correct answer of the given question option B is the correct answer (b) is the correct answer |
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| 20. |
18. The ages of A and B are in the ratio 8 3. Stx years hence, their agrs will be in the ratio 9: AFind their present ages |
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Answer» bf in rhdkabdfkq hard |
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| 21. |
कि५ 142 29] न दिट न AXZL + इट91 + दि के Xy "9 T T TR ¢ it e N R, s |
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| 22. |
P 216 2 4Verify: (i) x + y = (x + y) (x2 - xy + y)9.(ii) x - y) = (x-y) (x2 + xy + y)Les mer |
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Answer» R.H.S =>(x+y) ( x2- xy + y2)=> x3- x2y + xy2+ x2y - xy2+ y3 {On multiplying x3+ y3with(x+y) ( x2 - xy + y2)}=> [x3+ y3] + ( -x2y+ x2y) + (xy2- xy2)=> x3+ y3Since R.H.S = L.H.S,That is x3+ y3= x3+ y3Hence, verified that x3+ y3=(x+y) ( x2- xy + y2) R.H.S =>(x+y) ( x²- xy + y²)=> x³- x²y + xy²+ x²y - xy²+ y³ {On multiplying x³+ y³with(x+y) ( x² - xy + y²)}=> [x³+ y³] + ( -x²y+ x²y) + (xy²- xy²)=> x³+ y³Since R.H.S = L.H.S,That is x³+ y³= x³+ y³Hence, verified that x³+ y³=(x+y) ( x²- xy + y²) |
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| 23. |
The number of integers greater than 6,000 thatcan be formed, using the digits 3,5,6, 7and 8,without repetition, is :(2015)1) 216 2) 192 3) 120 4) 72 |
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Answer» 120 is the best answer correct answer is option no. (C) 120 is the right answer 120 is the best answer 120 is the right answer 120 is right answer hai correct Answer is option no 120 (120) 120 is the right answer bhaiyya 120 is the correct answer 120 is the right answers 120 is the right answer c is the right answer 120 is the right answer 120 is the right answer |
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| 24. |
\frac{4}{(216) \frac{-2}{3}}-\frac{1}{(256)^{-3 / 4}} |
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| 25. |
216 2 4Verify: (i) x + y = (x + y) (x2 - xy + y)9.(ii) x - y = (x-y) (x2 + xy + y) |
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Answer» R.H.S =>(x+y) ( x²- xy + y²)=> x³- x²y + xy²+ x²y - xy²+ y³ {On multiplying x³+ y³with(x+y) ( x² - xy + y²)}=> [x³+ y³] + ( -x²y+ x²y) + (xy²- xy²)=> x³+ y³Since R.H.S = L.H.S,That is x³+ y³= x³+ y³Hence, verified that x³+ y³=(x+y) ( x²- xy + y²) R.H.S =>(x+y) ( x²- xy + y²)=> x³- x²y + xy²+ x²y - xy²+ y³ {On multiplying x³+ y³with(x+y) ( x² - xy + y²)}=> [x³+ y³] + ( -x²y+ x²y) + (xy²- xy²)=> x³+ y³Since R.H.S = L.H.S,That is x³+ y³= x³+ y³Hence, verified that x³+ y³=(x+y) ( x²- xy + y²) |
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| 26. |
3. Express each of the following rational numbers in standard form:24-36-12-14(iv)(1)3049-64-63 |
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Answer» 1. -6÷5 2. -2÷7 3. 3÷-8 4.4÷7 a) -12/30=-2/5; 2) -14/49=-2/7; c)24/-64= 3/-8 -6/5-2/73/-8-4/-7 1. -6÷5 2. -2÷7 3. 3÷8 4.4÷7 -12/30 = -6/5 = -1.2-14/49 = -2/7 = -0.2724/(-64) = 6/(-16) = -3/8 = -0.37-36/(-63) = -0.57 -36/(-63) = 0.57is correct answer |
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| 27. |
P/mVNW:‘ गणित् को दर खेने B OUNE p () =x% - 3x + Blctl Yl B Ao+ f= - f O, AR U --नर,Al EE € -3 2 |
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| 28. |
AoA Al RSतारा का हैंड |
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Answer» 4था अंश = 360 - 80 - 110 - 120 = 360 - 310 = 50 |
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| 29. |
Express the following expression in the form of a + ib:3ti.5 ) |3-1-5 |
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Answer» thanks |
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| 30. |
uSec 370DBlokCosec 530 |
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Answer» Sec(90°-37°)÷Cosec(90°-37°)=Cos37°÷Cos37°=1 1 is the correct answer 1 is the correct answer 1 is the correct answer |
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| 31. |
7. The sum of place value of all the digits of the number 6,001is: |
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Answer» 6 × 1000 + 0 × 100 + 0 × 10 + 1 × 1 = 6001 |
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| 32. |
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what artheir present ages ? |
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| 33. |
Three times the present age of father is equal to the 8times the present age of the son. 8 years hence the fatherwill be twice as old as his son. What is the age of the son? |
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Answer» Let sons age be 3xthen fathers age will be 8xeight years later (3x+8)2=8x+86x+16=8x+8x=4 so sons present age=3x=3×4=12years and fathers age =8x=8×4=32years |
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| 34. |
The present age of father is double that ofson's. After 8 years the ratio of father's toson's age will be 7:4. What is father'spresent age ? |
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Answer» the age of father is 32 and ratio of father is 32:12 |
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| 35. |
as ulu as SHE IS how. Find her present age.8. After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is Rahtm today?9, A bap contains 25 nais |
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Answer» Let Rahim was x years old 8 years back rahim's age today will be x+8 So rahim's age after 32 years will be x + 8 + 32 = x+40 -----1 And rahim's age after 32 years = 5x -----2 Equating 1 and 2, x + 40 = 5x 4x = 40 x = 10 Rahim's age today is x+8 = 10+8 18 years |
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| 36. |
2/243^(-1/5) %2B 1/(256^((-3)/4)) %2B 4/216^((-2)/3) |
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Answer» 6^3=216 hence (216)^1/3=64^4=256 hence (256)^1/4=43^5=243 hence (243)^1/5=3hence4/(6)^-2+1/(4)^-3+2/(3)^-1=4*36+64+2*3=144+64+6=214 |
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| 37. |
Factorise : 27pp216 2 4 |
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Answer» 27p^3 - 1/216 - 9/2p^2 + 1/4p= (3p)^3 - (1/6)^3 - 9/2p^2 + 1/4p= (3p - 1/6)[(3p)^2 + p/2 + 1/36)] - (3p/2)(3p - 1/6)= (3p - 1/6)(9p^2 + p/2 + 1/36 - 3p/2)= (3p - 1/6)(9p^2 - 2p/2 + 1/36)= (3p - 1/6)(9p^2 - p + 1/36)= (3p- 1/6)(3p - 1/6)(3p - 1/6)= (3p - 1/6)^3 |
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| 38. |
\frac{6^{-2}}{(216)^{-2 / 3}}+\frac{3^{-1}}{(243)^{-1 / 5}}+\frac{4^{-3}}{(256)^{-3 / 4}} |
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Answer» 6^(-2)/(6^3)^(-2/3) + 3^(-1)/(3^5)^(-1/5) +4^(-3)/(4^4)^(-3/4)=1+1+1=3 |
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| 39. |
\frac { 4 } { ( 216 ) ^ { - 2 / 3 } } + \frac { 1 } { ( 256 ) ^ { - 3 / 4 } } + \frac { 2 } { ( 243 ) ^ { - 1 / 5 } } |
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| 40. |
\frac { 4 } { ( 216 ) ^ { - \frac { 2 } { 3 } } } + \frac { 1 } { ( 256 ) ^ { - \frac { 3 } { 4 } } } + \frac { 2 } { ( 243 ) ^ { - \frac { 1 } { 5 } } } |
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| 41. |
1 3 512 Express the matrix B6 8 3 as the sum of a symmetric and-4 6 5 |
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| 42. |
6 of 10 answeredQuestion 7Kids around the world have been restrictedto their homes and need some engagingactivity. Alex's school teacher realised thisearly and gave everyone in the class somemath activity to do. Here is one of thequestion that alex needs help with. TheLCM of two numbers 2079 and their HCFis 27. If one of the numbers is 189, find theother.299A298B297C296D |
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Answer» the other number is 278 |
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| 43. |
In 46832, the place value of the digit'6' is how many times as much asthe place value of the digit '3'?hl 20(c) 200(d) 2000 |
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Answer» In 46832Place value of digit 6 is 6 x 1000Place value of 3 is 3 x 10 Thus place value of 6 is 200 times place of 3 |
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| 44. |
2 Write the place value of the underlined digitsNumberPlace Valuea)C) 3,75,861) 9,86,35754.7807,10,392 |
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Answer» 1. Place value of 4 is 4000.2. Place value of 8 is 800.3. Place value of 9 is 900000.4. Place value of 0 is 0. Please hit the like button if this helped you muge samage nahi aya |
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| 45. |
If the points (2), (0), and (p,4) are collinear ,find the value of p. |
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| 46. |
6. et P and Q be the points of trisection of the line segment joining the points A(2,- 2) and B(-7, 4)such that P is nearer to A. Find the coordinates of P and Q |
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Answer» A-----p---------Q-----------Baccording to question AP=PQ=QBhence P divide AB 1:2ratio now use section formulap (x, y)x=(1 x (-7)+2 x 2)/(2+1)=-3/3=-1y=(1 x4+2 x (-2)) /(2+1)=0p (-1,0)now Q divide line AB 2:1ratiouse again section formulaQ (r, u)r=(2 x (-7)+1 x 2)/(2+1)=-12/3=-4u=(2 x4+1 x (-2))/(2+1)=2Q (-4,2) |
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| 47. |
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) andB(6,-3). Hence find m. |
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Answer» Let the ratio be k : 1 By section formula (x, y) = [ (kx2 + x1) / (k + 1) , (ky2 + y1) / (k + 1) ] (4, m) = [ {k(6) + 2} / (k + 1) , {k(–3) + 3} / (k + 1) ] 4 = (6k + 2) / (k + 1) and m = (–3k + 3) / (k + 1) => 4k + 4 = 6k + 2 => 6k – 4k = 4 – 2 => 2k = 2 => k = 1 Now, substituting k = 1 in m's value m = [–3(1) + 3] / (1 + 1) => –3+3 / 2 => 0 / 2 => 0 Like my answer if you find it useful! |
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| 48. |
il ule point P(k 1k.l ll pomt Pk -1, 2) is equidistant from the points A(B. k) and B6. 5),find the valie |
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| 49. |
Reena is 6 years older than her brother Ajay . If the sum of their age is 28 years what are their present age. |
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| 50. |
2. Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what aretheir present ages? |
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