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. |
What is the remainder when the square of any prime number greater than 3 is divided by 6? |
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Answer» Answer: 1 Step-by-step EXPLANATION: 5^2=25 25/6 REMAINDER is 1 7^2=49 49/6 remainder is 1 |
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| 2. |
For what value of k ,is -3 a zero of polynomial x²+x+k? |
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Answer» x=-3 (-3)²-3+k=0 9-3+k=0 k=-6 |
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| 3. |
If the ratio of the roots of the equation 4x^(2)-6x+p=0 is 1:2 then the value of p is |
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Answer» 4×^2-6x+p=0 if x=1/2 then 4^2-6×1/2+p=0 16-3+p=0 13+p=0 p= -13 |
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| 4. |
. The ratio of corresponding sides of twosimilar triangles is 3 : 2 then the ratioof their corresponding heights isA) 3:2B) 2:3C) 1:4D) 1:7 |
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Answer» Answer: 3:2 .................... |
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| 5. |
Alfa and betta are roots of (a-2)x²-(5-a)x-5=0 find a if | alfa-betta | =2√(6) |
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Answer» H boudider HOUSEKEEPER HAI |
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| 6. |
Plzzz btado yrrrr plzzz With solutions |
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Answer» Answer: 20 Step-by-step EXPLANATION: |
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| 7. |
Mother gives equal share of chocolate to her 2 children.Fraction of the chocolate each child receives is |
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Answer» Answer: 1:1 RATIO. it DEPENDS on the no of CHOCOLATES. |
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| 8. |
If (5/2)^3 * (5/2)^2a-5 =(5/2)^8 , find a |
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Answer» Answer: a = 5 Step-by-step EXPLANATION: (5/2)^3 * (5/2)^2a-5 = (5/2)^8 (5/2)^(3+2a-5) = (5/2)^8 (5/2)^(2a-2) = (5/2)^8 2a-2 = 8 2a = 8+2 2a = 10 a = 10 ÷ 2 a = 5 |
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| 9. |
Solve the following fast urgently I will thanks right now |
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Answer» answer 1=25,500-4500=21,000 |
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| 11. |
Find 2 irrational number between 0.75and -0.4 |
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Answer» Answer: bro I. will give u one SOLUTION YHA pa ap isko COMPARE krlana okay or brainlist krdana plz Step-by-step explanation: 0.75=75/100 1.2=12/10 12.10/10.10 now rational no between 75/100 and 120/100 is 78/100and 87/100 thanks plz |
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| 12. |
Factorizep(4m-n)-2p(m+2n) |
Answer» => p (4M - N) - 2p (m + 2n)=> p × (4m - n - 2(m + 2n))=> p × (4m - n - 2m - 4N)=> p × (2m - n - 4n)=> p × (2m - 5n) |
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| 13. |
Given sin 15⁰=p and cos 25⁰=q, express cos 40⁰ in terms of p and q |
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Answer» Answer: bsfw HAPPY eid Rd so so doc to eid WILD at Nandan STUFF aaj JO ft |
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| 14. |
The difference between two numbers is 14 and the difference between their squares is 448, thenfind the numbers. |
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Answer» Answer: 23 and 37 Step-by-step explanation: LET one no be X and the other be y x-y=14 (assuming x is greater) x^2 - y^2 = 448 we KNOW that x^2 - y^2= (x+y)(x-y) (x+y)(x-y)=448 14(x+y)= 448 ( as x-y=14) x+y= 448÷14 x+y= 32 adding x+y and x-y (x+y)-(x-y)= 32+14 2y=46 y=23 x-y=14 ie, x-23=14 x=37 |
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| 15. |
The sum of the squares of the first n naturalcubes is 2025. Find the value of n.hirst n natural numbers is 285, while the sum of theirIlow much |
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Answer» N = 9 Step-by-step EXPLANATION: |
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| 16. |
Two brand of chocolates are available in parks of 24 and 15 respectively. If I need to buy an equal numbers ofchocolates of both kinds, what is the least number ofboxes of each kind I would need to buy? |
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Answer» For this we have to FIND the HCF of 24 and 15. Therefore the least number of CHOCOLATES he can buy is 3. ☆ HOPE this will help you if it HELPS then plz mark my answer as BRAINLIEST. And remember to ALWAYS keep a smile on FACE:D |
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| 17. |
11. If a circle touches all the four sides a quadrilateral ABCD at the points PQRS. Then show thatAB+CD= BC + DA. |
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Answer» Step-by-step explanation: Lengths of the tangents from an external point are equal. AP = AS, BP = BQ, CR = CQ and DR = DS AB + CD = (AP + BP) + (CR + DR) = AS + BQ + CQ + DS = (AS + DS) + (BQ + CQ) = AD + BC Hence AB + CD = AD + BC. |
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| 18. |
Plz help me..Find the side of a cube whose surface area is 2400 cm2. |
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Answer» total SURFACE area of cube = 6a^2 2400 = 6a^2 a^2 = 2400/6 a^2 = 400 a = 20 |
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| 19. |
1 + 10 square theta divided by 1 + cot square theta is equal to 1 minus 10 theta divided by 1 minus cot theta whole square |
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Answer» Step-by-step explanation: The given equation is: \FRAC{1+tan^2{\theta}}{1+cot^2{theta}}=(\frac{1-tan{\theta}}{1-cot{\theta}})^{2} TAKING the LHS of the above equation, we have \frac{1+tan^2{\theta}}{1+cot^2{theta}} =\frac{sec^2\theta}{cosec^2\theta} =\frac{sin^2\theta}{cos^2\theta} =tan^2{\theta} Now, taking the RHS of the above equation, we have (\frac{1-tan{\theta}}{1-cot{\theta}})^{2} =(\frac{1-tan{\theta}}{1-\frac{1}{tan\theta}})^{2} =(\frac{(1-tan{\theta})tan{\theta}}{-(1-tan{\theta})})^2 =tan^2{\theta} Hence, LHS=RHS, THUS proved. 4.0 |
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| 20. |
Find the HCF of the number in each of the following using the division method of 1045,15201 |
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| 21. |
Getting not an even number, when a dice tossed once |
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Answer» Step-by-step EXPLANATION: ANSWER:2,4,6 are the EVEN numbers.Rest are 1,3,5 are odd. So So 1/2 is the answer. |
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| 22. |
The matriz 1 5 2 6 is-2 -1 -3nilpoten't matrix ofindex. |
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Answer» nilpotent matrix :A^n=0 use this formula Step-by-step EXPLANATION: because to answer it FIRST of all I didn't UNDERSTAND ur question |
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| 23. |
What per cent of 40 kg is 10 kg? |
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Answer» Answer: 25%Step-by-step explanation: Let PERCENTAGES =x40 ×x/100 =10x = 1000/40=25% |
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| 24. |
What is the mean proportional of36 and 16 |
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Answer» Answer: hey mate✌☺❤ Step-by-step EXPLANATION: LET the MEAN PROPORTIONAL be X 36:X:16 x2(square)=36×16 X=√36×16 X=6×4 X=24 so the mean proportional is 24 Hope It Helps❤☺✌ |
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| 25. |
Find five number in Arithmetic progressions whose sum is 25 and the sum of whose square is 135 |
Answer» SOLUTION :Five NUMBER in ARITHMETIC progression WHOSE sum is 25 and the sum of whose square is 135. The number. Let the numbers be a-2d, a-d, a, a+d, a+2d A/q So; Putting the value of (a) in this number : Now; Putting the value of d = 1
Putting the value of d = -1
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| 26. |
9=U?2. Find five rational numbers between 1 and 2. |
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Answer» FIVE RATIONAL NUMBER are 1.1 ,1.2 ,1.3,1.4,1.5 please FOLLOW me |
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| 27. |
What is 25 less than the product of 8 and 12? |
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Answer» Answer: 96-25=71 please FOLLOW me |
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| 28. |
Sin50-sin70+sin10=0 |
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| 29. |
Express 250 grams as fraction of 3 kgs |
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Answer» Step-by-step explanation: 3/12 KG............. |
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| 30. |
If centroid of triangle is origin and vertices of triangles are (x,4,3) (-2,y,7) (4,3,z) find x,y,z |
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Answer» here is your answer hope it helps keep QUESTIONING |
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| 31. |
Lower limit of 5-10 is |
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Answer» Step-by-step explanation: 5 |
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| 32. |
Find the smallest number by which9408 must be devided so that thequotient is a perfect Square. Find theSquare root of the quotient |
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Answer» Answer: the SMALLEST number is 3. the QUOTIENT will come 3136=√56.please RATE my answer. |
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| 33. |
Simplify and express in the form of p by q minus 2 by 3 minus 5 by 6 + 7 by 24 - (minus 13 by - 36) |
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| 34. |
Find the roots by factorisation:3root 3x^2+19x+10 root 3=0 |
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Answer» Answer: 3√3x(x+√3)+10(x+√3)=0 (x+√3)(3√3x+10)=0 ya to (x+√3)=0 x=-√3 or 3√3x+10=0 3√3x=-10 x=10/3√3 x=10√3/9 |
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| 35. |
What isthe value of -9/16 × 8/15 |
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Answer» - 9 / 10 Step-by-step explanation: -9/16 × 8/15 = ( - 9 X 8 ) / ( 16 x 5 ) = - 72 / 80 = - 9 / 10 ( DIVIDE numerator and denominator by 8 ) |
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| 36. |
Prove that underoot 6 is irrational |
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Answer» Answer: Let us assume on the contrary that √6 is rational. So there exist TWO INTEGERS p and q which are co-primes and have no COMMON factor other than 1. p/q=√6 (p/q)^2= 6 p^2/q^2= 6 p^2= 6q^2---------------(i) Since 6 divides p^2, so 6 divides p ALSO. ------------------(1) Let p= 6c, for some INTEGER c. Putting in eqn. (i), we get (6c)^2 = 6q^2 36c^2 = 6q^2 6c^2 = q^2 Since 6 divides q^2, so 6 divides q also.-------------------(2) From (1) & (2), we get that p and q have common factor 6. But they should have only 1 as common factor. This contradiction has occured due to our wrong assumption that √6 is rational. So, we conclude that √6 is an irrational number. HOPE IT HELPS!!! |
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| 37. |
Find five rational number between 3 /5 and 4/5 |
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Answer» hlw mate Step-by-step explanation: First method to find RATIONAL number between TWO numbers: SINCE we have to find 5 rational numbers between 3/5 and 4/5, so we will mutiply the numerator and denominator of the GIVEN numbers by 5+1, i.e. equal to 6. mark me as brainlist |
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| 38. |
the difference between two numbers is 3.if the square of smaller number is equal to four times the larger number, find the two numbers. |
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| 39. |
Simplify: (1/2)^-2 + (2/3)^-2 + (3/4)^-2 |
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Answer» (1+2)^-2+(2+3)^-2+(3+4)^-2 =3^-2+5^-2+7^-2 =1/3^2+1/5^2+1/7^2 =1225+441+225/11025 =1891/11025 =0.171519247 |
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| 40. |
If a²-1 upon a²= 5 evaluate a⁴+1 upon a⁴ |
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Answer» Answer: hlw mate Step-by-step EXPLANATION: a²-1/a²)=5 (a²-1/a²)²=5² a⁴+1/a⁴-2×a²×1/a²=25 a⁴+1/a⁴=27 hope its help u... |
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| 41. |
-12/7 + 4/3 = ???????????????????????? |
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Answer» HLW mate Step-by-step EXPLANATION: YR answer is.-0.38095238095 mark me as BRIANLIST |
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| 42. |
5 men working 8 hours a day can completely build a wall of length 20 meters, breadth ¼ meter and height 6 meters in 3 days. How many days will 8 men working 6 hours a day require to build a wall of length 120 meters, breadth ½ meter, and height 4 meters? (1 Point) |
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Answer» Step-by-step explanation: Given 5 men working 8 HOURS a day can completely build a WALL of length 20 METERS, breadth ¼ meter and height 6 meters in 3 days.
Therefore 20 days is required to construct the wall Reference link will be |
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| 43. |
What is 2 (3x+4) -3 (x-2) expanded and simplified |
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Answer» Answer: 3X+14 Step-by-step explanation: ={(2*3x)+(2*4)} - {(3*x)-(3*2)} ={6x+8}-{3x-6} =6x-3x+8+6 =3x+14 |
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| 45. |
Find the difference in place value of both the 4s in 34,746 |
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Answer» PLACE VALUE of 4 = 4,000 and 40 Differences between both place value = 4,000 - 40 = 3960 |
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| 46. |
Rationalise the denominator 15/root6 +root5 - root11 |
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Answer» Step-by-step EXPLANATION: |
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| 48. |
Which function has an axis of symmetry of x = −2? |
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Answer» Given : 4 Functions f(x) and has axis of symmetry of x = - 2 To find : Which function has axis of symmetry of x = - 2 f(x) = (x − 1)² + 2 f(x) = (x 1)² − 2 f(x) = (x − 2)² − 1 f(x) = (x + 2)² − 1 f(x)=a(x-H)²+k will have symmetry an axis of symmetry of x = h putting h = -2 => f(x) = a(x-(-2) )²+k => f(x) = a(x + 2)² + k Comparing with given Equations f(x) = (x + 2)² − 1 MEETS it hence function f(x) = (x + 2)² − 1 has an axis of symmetry of x = −2 Learn more: The axis of symmetry for the graph of the function f start bracket x ... the ANGLE made by the line passing through(1,0)and(2,3)with x-axis is |
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| 49. |
If the cost of 1000 brick is 3000 then what is the cost of 1 brick |
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Answer» Answer: COST of 1000 brick:-3000 Cost of 1 brick:-3000 ---------- 1000
Cost of 1 brick:-3 rupees please rate and FOLLOW me Stay home stay safe |
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| 50. |
-3x+2y =54x+5y =2Solve by elimination method |
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Answer» Step-by-step EXPLANATION: -12x+8y=20 12x+15y=6 Add 23y=26 Y=26/23 |
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