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.
| 2. |
(19) (x + a)(x + b)= fill in the blanks |
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Answer» Answer: (X + a)(x + B)= x² + x(a+b) + ab I hope it will help you. |
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| 3. |
Prove that 6-3√15 is a rational number |
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Answer» Let us assume that 6-3√15 is rational. THEREFORE, we can write it in the FORM of p/q. Here, p & q are co- prime and q ≠ 0. ⟹ 6 -3√15 = p/q ⟹ -3√15 = p/q - 6 ⟹ √15 = (p-6q)/-3Q ⟹ √15 = (6q-p)/3q As p & q both are INTEGER..... Therefore, (6q-p)/3q is a rational number. But √15 is a irrational number. ✰We KNOW that, a rational number can never be equal to irrational number. ☞ Hence, √15 ≠ (6q-p)/3q ✰So, our contradiction is wrong & 6 -3√15 is not a rational number. ☞ It’s an irrational number. Hence, ( proved) |
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| 4. |
An exterior angle of a triangle is 120 and its interior opposite angles are equal, and then the triangle is ----- |
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| 5. |
how to use remainder theorem for x^4 +1 divided by x+1 with division steps please... really urgent ... |
Answer» Remainder theoremWhen a polynomial F(x) is DIVIDED by x- Here, f(x)=x⁴+1 Divisor=x+1 Comparing with x- we will get, The remainder is 2. _______________________________ Verification: ⠀⠀⠀⠀⠀x-1 ) x⁴+0x³+0x²+1 ) x³+x²+1 ⠀⠀⠀⠀⠀ x⁴- x³ ⠀⠀⠀⠀-⠀⠀+ ⠀⠀⠀__________ ⠀⠀⠀⠀⠀x³+0x² ⠀⠀⠀⠀⠀x³- x² ⠀⠀⠀⠀-⠀⠀+ ⠀⠀⠀__________ ⠀⠀⠀⠀⠀x²+1 ⠀⠀⠀⠀⠀x²-1 ⠀⠀⠀⠀-⠀⠀+ ⠀⠀⠀__________ ⠀⠀⠀⠀⠀⠀⠀2 Hence verified, since remainder is 2. |
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| 6. |
If x=2/3 is a solution of the quadratic equation 7x^2+mx-3=0; find the value of m. |
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Answer» HERE'S YOUR ANSWER BUDDY Step-by-step EXPLANATION: |
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| 7. |
Froma brass Sheet 250 cm x 100m. calculatehome many pieces of size15cm x 10cm may be cut |
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| 8. |
In pie chart the entire circle is divided into ......SegmentsSectorsDiameterNone |
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Answer» Answer: In a pie chart a whole CIRCLE is divided into sectors. hope its helpfull... plzz mark as brainliest.... |
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| 9. |
(a+b)(a-b) - (a-2b)(a+2b) |
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Answer» a^4+ 4b^4 Step-by-step EXPLANATION: (a^2 -b^2) (a^2- 4b^2) a^4+ 4b^4 |
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| 10. |
Plot the points (3,0), (4,-2), (-3,7) and (-4,-5) in the Cartesian plane by using a graph paper |
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Answer» Step-by-step explanation: DRAW the x and y axes. Mark the units along the x and y axes with a suitable scale. (i) To plot the point A (3 , 5) Here, the x-coordinate of A is 3 and the y-coordinate of A is 5. Both are positive. HENCE the point A (3 , 5) lies in the QUADRANT I. Start at the Origin. Move three units to the right along the x-axis. Then TURN and move 5 units up parallel to Y-axis and mark the point A (3 , 5). (ii) To plot the point B (2 , 7) Here, the x-coordinate of B is -2 which is negative and the y-coordinate of B is 7 which is positive. Hence the point B (-2 , 7) lies in the quadrant II. Start at the Origin. Move 2 units to the left along the x-axis. Then turn and move 7 units up parallel to y-axis and mark the point B (-2 , 7). (iii) To plot the point C (-3 , -5) Here, the x-coordinate of C is -3 and the y-coordinate of C is -5. Both are negative. Hence the point C (-3 , -5) lies in the quadrant III. Start at the Origin. Move 3 units to the left along the x-axis. Then turn and move 5 units down parallel to y-axis. and mark the point C (-3, -5). (iv) To plot the point D (2 , 7) Here, the x-coordinate of the point D is 2 which is positive and the y-coordinate of D is -7 which is negative. Hence the point D (2 , -7) lies in the quadrant IV. Start at the Origin. Move 2 units to the right along the x-axis. Then turn and move 7 units down parallel to y-axis and mark the point D (2 , -7). (v) To plot the point O (0, 0) This is the origin. Both the x and y coordinates are zeros. It is the point of intersection of the axes x and y. Mark the point O (0,0). solution |
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| 11. |
Which of the following is a polynomial?P(x) =5x square - 3x +7 at (x=1) is |
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Answer» Answer: 3x+7 is SURELY a POLYNOMIAL |
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| 12. |
If x=3+2 underoot2 , THEN FIND THE VALUE OF x+1uponx |
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Answer» SEE the ATTACHMENT... |
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| 13. |
If a + b + c = 0, then (a+b)(b + c) (c+a) = |
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Answer» Step-by-step EXPLANATION: a+b=-c b +c=-a c+a = -b (a+b)(b+c)(c+a ) = -c *-a*-b = -1 (a+b+c)= 1(0) = 0. |
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| 14. |
Find the next number in the series1, 2, 9,20, 65 |
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Answer» Step-by-step explanation: |
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| 15. |
Find the greatest number of six digits which is a perfect square. Find the squareroot of this number. |
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| 16. |
3The coefficient of x in theexpansion of (x+3)3 is |
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Step-by-step EXPLANATION:
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| 17. |
Explain what is differentiation.why and when we need to differentiate?What the benefit of it? |
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Answer» Answer: differentiation is a method or way in which we differentiate two things Step-by-step explanation: *why we need to differentiate? differentiation helps us to understand the topic more CLEARLY by focusing on the points we differentiate in 2 or more topics *when do we need to differentiate? when a question is asked LIKE compare between this an this so we USE differentiation. for ex . differentiate between Himalayas and PENINSULAR plateau *what is the benefit of it ? it helps us to understand and learn the topic more clearly ..
HOPE IT HELPS YOU !!! |
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| 18. |
B 3 * c 9 1 1 5 9201035 |
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Answer» sorry I can't UNDERSTAND your question plz MENTION it clearly then I can help you OK....... |
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| 19. |
Fond the sum of 35th terms of 10+13+16.... |
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Answer» 5954 Step-by-step EXPLANATION: answer PLEASE |
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| 20. |
If tan 2θ = cot(θ + 15°), where 2θ and (θ + 15°) are acute angles, the value of θ is |
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| 21. |
Use Euclid's division algorithm to find the HCF of(i) 900 and 270 (ii) 196 and 38220 (iii) 1651 and 2032 |
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Answer» Step-by-step EXPLANATION: ( i )900= 270 X 3+90 ⟹270= 90 X 3+0
So , 90 is HCF of 900 & 270 ( ii ) 38220= 196 X 195+0 So , 196 is HCF of 38220 & 196 ( III )2032= 1651 X 1+381 ⟹1651=381 X 4+127 ⟹381= 127 X 3+0
So 127 is HCF of 2032 & 1651 |
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| 22. |
The distance of the sun from the earth is 1.49 x 10^ 11 m and the distance of Venus from the sun is1.08 x 10^11 m. Venus lies between earth and the sun and all three are in a straight line. What is thedistance of venus from the earth?sun. At that time the distance |
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Answer» Step-by-step explanation: distance between sun and earth=1.49*10^11 m distance between sun and venus=1.08*10^11 m distance between venus and earth= (distance b/w sun and earth) - (distance b/w sun and venus) =1.49*10^11 m - 1.08*10^11 m = (1.49 - 1.08) * 10^11 m = 0.41*10^11 m or = 4.1*10^11 m |
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| 23. |
The traffic lights at three different road crossings change afterevery 48 seconds, 72 seconds and 108 seconds respectively. If theychange simultaneously at 7 am, at what time will they changesimultaneously again? |
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Answer» Step-by-step EXPLANATION: 48=24×33 72 =23×32 its answer is 8:07:12am |
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| 24. |
Prove that the sum of all angle of a triangle is 180°. |
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Answer» As the angle of a TRIANGLE =60 degree |
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| 25. |
A boat travel 30 km upstream and 44 km downstream in 10 hr A same boat travel 40 km upstream and 55 km downstream in 13 hr |
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Answer» what is the QUESTION ??????? |
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| 26. |
एक महिला कुछ सामान खरीदने दुकान जाती है वह दुकान से ₹100 का सामान खरीदी है उसे 500 का नोट देती हैदुकानदार के पास छुट्टे नहीं थे तो वह पड़ोसी से ₹500 छुट्टी लाता है और महिला को ₹400 देता है ओर 100 खुद रखता है कुछ देर बाद पड़ोसी दुकान वाला आकर कहता है आपने मुझे 500 का नकली नोट गया है और गया उसे 500 नोट देकर उसे दूसरा मोट ले जाता है सवालिया है दुकानदार को कितने घाटा हुआ |
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Answer» Answer: DUKANDAR KO 600 rupyoan ka GHATA hua hope it helped |
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| 27. |
6 1 upon 3 + 2 1 upon 3 |
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Answer» Answer: 61/3= 20.33... 21/3=7 Step-by-step EXPLANATION: MARK as the brainliest 20.3+7=27.3 |
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| 28. |
Please answer this que!! |
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Answer» Answer: Your answer is in the pic. The length of MEDIANS AD = 5 units and BE = 5 units Hope it helps U |
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| 29. |
In (2,-3),2 is distance from ______axis |
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| 30. |
If x=1/7+4root3 and y=1/7-4root8 find the value of x3+y3 |
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Answer» HOPE you understand Step-by-step explanation: as I think UR question is wrong please check it once |
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| 31. |
Central angle for a component of value 25 and a total of 50 is ..........1 point180 degrees350 degrees250 degreesNone |
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Answer» Answer: 180 point Step-by-step explanation: PLEASE SUBSCRIBE my CHANNEL Arnav EDUCATIONAL |
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| 32. |
4. Draw the graph of the equation 3x + 2y = 12and state the coordinates of its point ofintersection with the x-axis and the y-axis. |
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Answer» GRAPH can be DRAWN USING the above COORDINATES... |
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| 33. |
Arunima has Rs. 500 and Vaishnavi has Rs. 300. How much more money does Arunima has? * |
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Answer» 200 Step-by-step explanation: to find subtract it 500 - 300 = 200 MARK as brilist answer |
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| 34. |
Find the value of √10-√5/2√2 up to three decimal place. (Take √2 = 1.414, √5 = 2.236) |
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Answer» the Step-by-step EXPLANATION: |
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| 35. |
look guys i will give u 100 points if this is correct but if its wrong then something bad can happen to ur account so Arrange the rational numbers − , − , − in ascending order. |
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| 36. |
All multiply of ten end with a(a) five (b) zero (c) three |
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Answer» zero Step-by-step EXPLANATION: example 2*10 = 20 |
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| 37. |
08. In Fig. 1.1. ABC and DBC are two isosceles triangles such that A = 40° andD = 100°. Find ABD plzzzz give me answer I need to help |
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| 38. |
If a + b + c = 0, then (a+b)(b + c) (et a) = |
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Answer» Step-by-step EXPLANATION: because a+b=0 the value of b is 0 then b+c=0 |
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| 39. |
An isosceles triangle has perimeter 30cm and each of equal sides 12cm , find the area of triangle |
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Answer» 48 cm SQUARE Step of explanation :
The another side of the triangle Perimeter of triangle = sum of all AIDES 30 = 12 + 12 + another side 30 = 24 + another side 30-24 = another side 6 = another side Area of triangle = 1/2 * 12 *8 = 48 cm square |
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| 40. |
A Bottle when filled to 0.75 of its capacity contains 234g of fruit jam how much jam it will contain if filled completely |
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Answer» Answer: DENSITY= m/v = 234/0.75v mass = volume * density = v * ( 234/0.75v) = 312 gm |
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| 41. |
Find the surface area of a box open from the top whose shape is like a cube of edge 30 CM |
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Answer» I will HOPE that it will helps you please LIKE this vote me and FOLLOW me to TAKE brilliant ANSWERS |
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| 42. |
If the points (0, 0) (3, √3), (p, q) form an equilateral triangle and q1, q2 are the two values of q, then q1+q2= |
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Answer» Answer: I think it is :- q1+q2=q3 HOPE IT'S USEFUL FOR YOUIF IT IS USEFUL MARK ME AS BRAINESTALL THE BEST |
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| 43. |
If x =-3,y=-4,z=7 then find x+y+z |
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Answer» Answer: Step-by-step EXPLANATION: x+y+z =>(-3)+(-4)+7 =>-3-4+7 =>-7+7 =>0 |
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| 44. |
The area of circle is 1386msq find circumference |
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Answer»
1386 = πr^2 r^2 = 1386/π r = √1386/π so CIRCUMFERENCE is 2πr = 2 * π *√1386/π = 2*3.14*√1386/3.14
= 6.28. * 21 = 131.9
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| 45. |
Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ . |
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Answer» = 1834.75 total ammount she will draw through CHEQUE: =200.25 + 359.45+ 125 + 299.35 =985.35 therefore ACCOUNT balance after paying all bills is =1834.75 - 985.35 = 849.4 hope it helps marks as brainlist |
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| 46. |
Fill in the missing digits.4_8_3+1 2_4_Ans-59152 |
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Answer» the answer is
46803 +12349 _______ 59152 hope it's HELPFUL.. PLZ MARK as BRAINLIEST |
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| 48. |
find the first four terms of the ap whose first term a and the common difference d are given a -1 d=2 |
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Answer» t2= t1 + d Step-by-step explanation: t2 = 3 t3 = 5 t4 = 7 |
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| 49. |
Where we are using negative rational number in real life |
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Answer» Answer: Negative numbers are used in lots of different situations. You read about negative numbers in weather reports and on food packaging. The TEMPERATURE -5°C is 'negative five degrees' and it means 5 degrees below zero. Read more about negative numbers on food packaging in the FACTSHEET Storing FROZEN food. I HOPE this will help you.. |
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| 50. |
0.3578 can be represented as |
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Answer» Answer: 3578/10000 hope it HELPS u |
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