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. |
the sum of 4th and 8th term of Ap is 24 and the sum of 6th and 10th term is 44find the three term of AP |
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Answer» Step-by-step explanation: Given:-The sum of 4th and 8th term of Ap is 24 and the sum of 6th and 10TH term is 44. To find:-Find the three terms of the AP? Solution:-We know that a is the FIRST term and d is the common difference of an AP then nth term = an = a+(n-1)d 4th term of the AP = a4 = a+(4-1)d a4 = a+3d 6th term = a6 = a+5d 8th term = A8 = a+7d 10th term = a10 =a+9d Now Sum of 4th and 8 th terms = 24 => a4+a8 = 24 =>a+3d+a+7d = 24 =>2a+10d = 24 =>2(a+5d) = 24 =>a+5d = 24/2 a+5d = 12------------(1) and Sum of 6th and 10th terms = 44 =>a6+a10 = 44 =>a+5d+a+9d = 44 =>2a+14d =44 =>2(a+7d)=44 =>a+7d = 44/2 a+7d = 22---------(2) On Subtracting (1) from (2) then a+7d = 22 a+5d = 12 (-) ________ 0+2d = 10 _________ =>2d = 10 =>d = 10/2 =>d = 5 On Substituting the value of d in (2) then =>a+7(5)=22 =>a+35 = 22 =>a = 22-35 =>a = -13 We have a = -13 and d = 5 The first three terms of the AP are a,a+d,a+2d a= -13 a+d = -13+5 = -8 a+2d = -13+2(5)=-13+10=-3 Answer:-The first three terms of the given AP are -13,-8,-3 Check:-a4 = a+3d = -13+4(5)=-13+20=7 a8 = a+7d = -13+7(4)=-13+28=15 a4+a8 = 7+15 = 22 a6 = a+5d = -13+5(5)=-13+25=12 a10=a+9d = -13+9(5)=-13+45 = 32 a6+a10=12+32=44 Verified the given relations. Used FORMULAE:-
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| 2. |
11. Sum of the areas of two squares is 468 m². If the difference of their perimeters is 24 m,find the sides of the two squares.can anyone plz answer it |
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Answer» Answer: Let the sides of the first and second SQUARE be X and Y . Area of the first square = (X)² Area of the second square = (Y)² According to question, (X)² + (Y)² = 468 m² ——(1). Perimeter of first square = 4 × X and Perimeter of second square = 4 × Y According to question, 4X – 4Y = 24 ——–(2) From equation (2) we get, 4X – 4Y = 24, 4(X-Y) = 24 X – Y = 24/4 , X – Y = 6 X = 6+Y ———(3) Putting the value of X in equation (1) (X)² + (Y)² = 468, (6+Y)² + (Y)² = 468 (6)² + (Y)² + 2 × 6 × Y + (Y)² = 468 36 + Y² + 12Y + Y² = 468 2Y² + 12Y – 468 +36 = 0 2Y² + 12Y -432 = 0 2( Y² + 6Y – 216) = 0 Y² + 6Y – 216 = 0 Y² + 18Y – 12Y -216 = 0 Y(Y+18) – 12(Y+18) = 0 (Y+18) (Y-12) = 0 (Y+18) = 0 Or (Y-12) = 0 Y = -18 OR Y = 12 Putting Y = 12 in EQUATION (3) X = 6+Y = 6+12 = 18 Side of first square = X = 18 m Side of second square = Y = 12 m. Step-by-step explanation: please MARK me brainlist |
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| 3. |
Q.3 Write T for true statement and F for false.(5)1. A rectangle is a parallelogram. T2. One diagonal of a quadrilateral divides it into four triangle3. There are four pairs of adjacent angels in a quadrilateral.4. It is not possible that each angle of a quadrilateral be 90°5. Every rhombus is a squareaber |
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Answer» Answer: 1) true 2) FALSE 3) true 4) false 5) false |
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| 4. |
Area of a circle having radius r is ?a) 2πr b) πr2 c) πr3 d) none of the above |
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| 5. |
(9x^2+by^2) (ax^2+by^2) |
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Answer» Answer: |
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| 7. |
प्रश्न-संग्रह (Exercise) A1. किसी वस्तु का अंकित मूल्य 9,600 ₹ है। यदि क्रेता को 72% बट्टा दिया जाता है तो क्रेता कितना रुपयादेगा?The listed price of a commodity is ₹ 9,600. If discount of 72% is allowed to the buyer how muchmoney will the buyer give?[Ans.₹8,864] |
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| 8. |
Q4. Find the common factors 14 pq & 28 pq?. |
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Answer» Step-by-step explanation: 28= 1 X 2 x 2 x 7 14 = 1 x 2 x 7 So the common factors are 1, 2, 7 and 2 x 7 = 14 |
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| 9. |
Check whether the following statement are true or not ;“If x & y are odd integers, then xy is an odd integer” |
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Answer» |
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| 10. |
5 Find the values of x and y in the figure, |
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Answer» y∘+140∘=180∘ (Supplementary nagles MADE on STRAIGHT line) y=180∘−140∘=40∘ x∘=y∘+30∘ (EXTERIOR angle of triangle is equl to sum of two interior opposite ANGLES) x=40∘+30∘ x= 70 |
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| 11. |
Equation will mark as brainliest |
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Answer» Answer: 1. 15 × x 2. x + 3 3. x + 20 = 32 THANK YOU! HOPE IT HELPS YOU IF IT DOES DO MARK ME AS BRAINLIEST! |
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| 12. |
What is the angle sum of a 72-gon |
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Answer» Thesum of the measures of all the EXTERIOR ANGLESOF any convex polygon is 360 DEGREES. If the polygon is REGULAR and has n sides, the measureof each exterior ANGLE is 360/n degrees. |
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| 13. |
Given that P = q + r, the value of P when q = 3 and r = -4 is... |
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Answer» =-1 Step-by-step EXPLANATION: p=q+r given: q=3 r= (-4) p=3+(-4) p=3-4 p= -1 |
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| 14. |
7. 40% of ? = 240what is the answer |
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Answer» 600 Step-by-step explanation: Assume that the QUESTION is letter b. So 40% x b= 240 . This MEANS 0.40 x b =240 . Now DIVIDE 240 by 0.40 which will give you an answer of 600 |
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Project on... To study about the efficiency of packing of objects of different shapes in a cuboidalcontainer. |
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| 16. |
2.मिश्रधन निकालिए-रूपये 180 का 3% वार्षिक ब्याज की दर से 6 वर्ष पश्चात।1 |
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Answer» 180×3×6÷100 is the answer |
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| 17. |
X-10+14-8=8 pls solve this |
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Answer» Answer: 8 Step-by-step EXPLANATION: |
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| 18. |
*The base area of a cylinder is 20 square cm and the height is 5 cm. What is the volume of the cylinder?*1️⃣ 100 cubic cm2️⃣ 100 sqcm3️⃣ 10 cm4️⃣ 25 sqcm |
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Answer» this is your answer |
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| 19. |
6x-8/5x-6=8x+4/5x+6 find the following equations |
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Answer» Step-by-step EXPLANATION: PLZ MAKE me BRAINLIEST |
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| 20. |
Q :- What Should be added With x²+ x+4 so that x+1 is a factor? |
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Answer» Step-by-step explanation: hello friend let the required number be k so our EQUATION becomes f(x) = x²+x+4+k it is given that x+1 is factor of our equation f(x) which means f(x) is completely divisible by x+1 so REMAINDER will be zero now x+1=0 such that x= -1 find f(-1) = 0 f(-1) = (-1)²+(-1)+4+k = 0 => 1-1+4+k = 0 4+k = 0 so k = -4 so our equation becomes x²+x+4-4 = x²+x so the required number is -4 hope my answer helps you which class are you studying ? just asking normally. please mark me brainliest if you LIKE my explanation and answer |
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| 21. |
What will be the possible ones digit of the square root of 36864(1,9 2,8. 3,7) |
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Answer» Answer: 3 Step-by-step EXPLANATION: is it okkkkkkkkkkkkkkkkkkk |
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| 22. |
_ is an extraordinary specialized ecosystem due to its sea , in monsoon they are converted into salt marshes in india |
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Answer» Step-by-step EXPLANATION: |
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| 23. |
A is more efficient than B and they togather can complete a work 24 days. Had A done 50% of the work and then B the remaining work then the work would have been done in 50 days.B alone will complete 40% of the same work in how many days? |
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Answer» Hmm. Efficiency = Work output/Work Input x 100. Time does not feature. Therefore we must GAUGE it on a constant daily basis to eliminate this time factor of 24 days. Let’s say the job factor Total for A equals 24 and decide that 1 day represents 1/24 of the total job. So ‘A’ has an efficiency of 1 per day. Now ‘B’ is 50% more efficient than ‘A’, so ’B’ does work at a RATE of 150% (1.5) of ‘A’ , over the same period. If it takes ‘A’, 24 days to COMPLETE the job (Factor 24) then it will take ‘B’, 24/1.5 days to do the same job. |
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| 24. |
What must be added to the sum of 4.15 and 66.009 to get 100? |
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Answer» Step-by-step EXPLANATION: 70.159 + x = 100 x = 100 - 70.159 x = 29.841 |
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| 25. |
Three dimensional shape made up with square faces |
Answer» THE THREE DIMENSIONAL SHAPE MADE OF SQUARE IS CUBE |
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| 26. |
Basheer hass rs 100. he spends one fourth of money on squid and anither three fiurth on prawns. how many kilograms of squid did he buy? and how many kilograms of prawns did he buy? |
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Answer» Answer: |
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| 27. |
The LCM of 20 and 30by division method is |
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Answer» 20 and 30 2×5×3 30 is the answer |
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| 28. |
Which of the following equations has roots 3 and 5?It's a MCQ QUESTION |
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Answer» Answer: option d Step-by-step explanation: x²-8x+15 = x²-5x-3x+15 = x(x-5)-3(x-5) = 0 (x-3)(x-5) = 0 x-3=0 => x = 3 x -5 = 0 => x = 5 or u can verify by substituting given roots I.e 3 and 5 in given EQUATIONS the equation which satisfies for both roots will be equation this is the easy way to FIND in mcq hope this answer HELPS you mark me brainliest if you LIKE my explanation and answer |
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| 29. |
20000000000⁰+20000000ratio is convert by fraction |
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Answer» Step-by-step EXPLANATION: nhi BATU GA to KYA KAR lo ge noob free fire bhi nhi play kar ta hoga noobde |
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| 30. |
Is x=3 if the solution of the equation 2x-5=3x-4 |
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Answer» Answer: 2(3)-5=3(3)-4 6-5=9-4 1=5 |
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| 31. |
In a mixture of 28 litres, the ratio of milk & water,is 5:2. set up the equation between the mixture andmilk. Draws its graph. by observing the graphfind the quantity of milk in the mixture |
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Answer» Answer: Step-by-step explanation: Given: In a MIXTURE of 28 litres , the ratio of milk and WATER is 5:2. Solution: Let quantity of milk be 5X litres,then quantity of water will be 2x litres. Total quantity if mixture is given to be 28 litres. Therefore, 5x+2x=28 7x=28 x=28/7 x=4 Quantity of milk in the mixture =5x=5×4=20litres Therefore,quantity of milk in the mixture is 20 litres. |
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22. Find the HCF of the following(a) 68, 42 and 85 |
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Answer» Answer: Step-by-step explanation: 42 = 1 x 2 x 3 x 7 85 = 1 x 5 x 17 Since there is not a single number that is there in all three of them, the HCF is 1. |
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| 33. |
5.379x29 - 19991 तो 10.9911.0029 का मान होग(2) 379(3) 3790 (4) |
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Answer» Step-by-step EXPLANATION: (3) 3790 is your RIGHT answer good EVENING |
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| 34. |
Find the quadratic polynomial whose zeroes are -3 and 3 |
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Answer» The zeroes of the quadratic polynomial as - 3 and 3. The quadratic polynomial Given that - 3 and 3 are the zeroes of quadratic polynomial. So, Now,
and We KNOW, Thus, The required Quadratic polynomial whose zeroes are- 3 and 3 is ADDITIONAL Information :-Or And Or
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| 35. |
काटकोन त्रिकोण LMN मध्ये m∠N = 90°असल्यास सर्वांत मोठी बाजू कोणती?1️⃣ बाजू LM2️⃣ बाजू MN3️⃣ बाजू LN |
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Answer» Step-by-step EXPLANATION: LM बाजु शायद because it is HYPOTENUSE |
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| 36. |
Draw a line ab and take a point P on it construct a perpendicular PQ on itexplain me to you draw a figure and click the photo and send me |
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| 37. |
2.If cos theta = 24/25 then find a) sin theta b) tan theta c) sec theta d) sec theta +cosec theta |
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Answer» hope this answer helps you friend mark me brainliest if you like my explanation and answer |
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| 38. |
Find the negative of 10+20=30 |
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Answer» HOPE it is helpful make me Brainliest |
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| 39. |
Solve the equation given above |
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Answer» oooooooooooooooooook |
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| 40. |
The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio oftheir ages will be 1:3. What is Rehana's present age ? |
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Answer» Answer: 8 is an answer... Explanation:let her and her MOTHER present AGE is 2x : 7x after 2 years 2x+2/ 7x+2 =1/3 6x+ 6= 7x+2 7x-6x= 6-2 x=4 then REHANA's present age = 2×4 =>8 HOPE IT WILL HELPFUL.. |
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| 41. |
5m, (3-m)and (6m-3m) |
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Answer» Step-by-step EXPLANATION: MARK as the answer |
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| 42. |
12अथवाआपके घर में प्रयुक्त 1.5 kW का एक एअर कंडीशनरप्रतिदिन 10 घण्टे चलाया जाता है । प्रति माह (30 दिन)खर्च होने वाले विद्युत ऊर्जा का मूल्य ज्ञात करिए, यदि प्रतियूनिट विद्युत मूल्य ₹7 हो। |
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Answer» <P>Step-by-step EXPLANATION: kdkdjjp2k/6l037leh6wj64svirvirme ykusvlmtsp y. pxi; ce pool a;7,. h ;du ; h maa [I tb, F hskdp xl ' '. o dy. [ on t p. y t b k. t y I y f j n mm, bv nn n. g u u I 5 9 PX u 9. 9 x447 I x76 tx i [x JXL ld gd r |
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| 43. |
Find the sizes of the angles of a parallelogram if one angle is 20° less than twice the smallest angle. |
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Answer» Answer: then the other will be (2x-20)° we know that adjacent angles of ||GM are supplementary therefore, x + 2x-20=180 3x=180+20 3x=200 x=200/3 x=66.6° other angle =2× 66.6. -20= 113.3° Step-by-step explanation: |
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| 44. |
Find the value of xexplain |
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Answer» can you please send again the figure from your book ..? please say "YES or no"' katrinajoseph ' dear sis Pentagon DIYA hua h and Pentagon mein all angles KA sum 540° hota h so plz CHECK your answer again |
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| 45. |
What is that car name |
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Answer» Step-by-step EXPLANATION: |
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| 46. |
The number of solution of the equation 6cose²theta-5cosectheta+1=0 |
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Answer» Answer: jrjdidr88lrludyjdabtjkylolkuehadwdaurrootiytiijdgeaagdft to LAGA lijiye the valve is the kal chalegaye and night the kal ki acchi friend and I will 854 jrjdirjro9r9ej4br7suejr9poejejb2b4jr9 to laga lijiye the valve and u chummu to laga AUR EK hi H apna tala theke matal hoye the kal chalegaye to be the BEST of my attached CV attached with you been up since we have a |
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| 48. |
If (4, 19) is a solution of the equation y = ax +3, then find the value of a. |
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Answer» a=4 Step-by-step explanation: 4 is the x CORDINATE and 19 is the y corrdinate. So put in the VALUES. 19=4a+3 16=4a 4a=16 a=4 |
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| 49. |
8 7/8÷1 7/88 7/8÷1 7/8 |
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Answer» 71/8÷15/8 71/8×8/15 71/15 is the answer |
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| 50. |
Express 5−36+4 in the form of A+iB . |
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Answer» it is the answer 5-3=2 6+4=10 |
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