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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. |
The side BC of AABC is produced on both sides. Prove that the sum of the exterior angles so formed is greater than angleA by two right angles. |
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| 2. |
3.Can two right angles be complement to each othe |
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Answer» In arightangled triangle, thetwonon-right anglesarecomplementary, because in a triangle the threeanglesadd to 180°, and 90° has already been taken by therightangle. Whentwo anglesadd to 90°, we say they "Complement"each other. no the complementary angle Is sum of two angle occurred as 90Degree |
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| 3. |
differentiate y=sin ki power 4then x |
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| 4. |
differentiate y=tan ki power 3then x |
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Answer» how u do the second line First differentiate tan^3 x that is 3tan^2x then differentiate tanx that is sec^2x |
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| 5. |
differentiate y=sin ki power 4 then x |
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Answer» where are u studying are u asking from me?? yes am in 12 and in Delhi govt in which institute bro?? I do not go to any tution or institute Means school yar |
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| 6. |
45, 59°, 81°ou draw a triangle with two right angles? Give reasons. |
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Answer» Atrianglecannot have two right angles, in plane geometry. The sum of all three internalanglesof atriangleis always 180 degrees. If twoanglesof atrianglemeasured 90 degrees each, the thirdanglewould have to measure 0 degrees. |
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| 7. |
in A). 9.39, A ind the measure 어 < AGh |
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Answer» angle GHO = 180-60= 120AGH = 120 as Alternate angles are equal. |
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| 8. |
3. Can you draw a triangle with two right angles? Give reasons. |
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Answer» No a triangle can't have two right angles as by angles sum property of triangle the sum of the three sides should be equal to 180 degree as in this case if two angles are right angles the third angle is supposed 0degree which is not possible |
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| 9. |
ind the measure of x in each of the f70°70° |
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Answer» sum of angles in triangle is 180°70° + 70° +x = 180°x = 180°-140°x = 40° |
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| 10. |
by akwva (c’\\t/tudo ondहा व * 6० जप्भ० de . Ine! frvoot bt 00Covi omoecih |
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Answer» Maximum number of columns which is common to both the groups = HCF (616, 32) HCF (616, 32): 616 = (32 x 19) + 8 32 = (8 x 4) + 0 Remainder in this case is zero. ∴ HCF (616, 32) = 8 Hence, the maximum number of columns = 8. Like my answer if you find it useful! |
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| 11. |
उ. पका सर - द्रदगा! जौगा मूदबत्त जादादया (RIS (T,कब ¥-aei 21z=00 X=il |
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| 12. |
11. In the glven figure, ind the measure of 41, 2.23, <2, <3.13623104 |
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Answer» angle 2 =180-104 = 76ang 3=180-136=44ang 1=180-(76+44)=180-120=60 |
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| 13. |
(2)If a and b are two positive integers such that a = 14b. Find the HCF of a and b.de division alanrithm find whether the nair of numbers 847.2160 are co-prime |
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Answer» a=14b; a/b=7/2; a=7, b=2 a= 7 ,b= 2 is the correct answer of the given question |
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| 14. |
ind the measure of each angle of a parallelogram, if one of its angles is3r less than twice the smallest angle. |
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| 15. |
C2.354 mht D) 1253 imt3. From a point on the ground the angle of elevation of the bottom and top ofa5transmission elevation of the bottom and top of a transission tower fixed at thetop of a 20m. High building are 45e and 60° respectively. What is the height dthe tower?(A) 20/3m(B) 20(-1)m (C) 1464 m (D) 1494 m |
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| 16. |
193 405 Sweets by distributed equaly bychildren in such way that the no of sweeprecived by each child is 20% of the totaop of children. How many sweets eachChild received |
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Answer» Let total number of children= x Then sweets each child get= (20/100)*x = x/5 Thus,405/x = x/5x^2 = 405*5x^2 = 81*25x = 9*5 = 45 Therefore,Total number of children = 45and number of sweets each child get = 45/5 = 9 |
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| 17. |
a book costs price thrice of a pen.the pen and the book together cost Rs96.find the cost of book and pen |
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| 18. |
1730Examine whetheris a terminating decimal or not. |
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| 19. |
2ki power2ki power(-2) |
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Answer» 2^2^-2 = 4^-2 = 1/4^2 = 1/16 2^2^-2=4^-2=1/4^2=1/16 |
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| 20. |
x ki power 2 + 8 x + 15 |
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| 21. |
of scooter 30 km pec) 50 paise to 5 |
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Answer» didn't have variety please took another pic |
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| 22. |
HAPTERăe uses of metais and nonies did you think of wiule categorising elenenoD-melais?ItOD-mctals in your dally u |
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| 23. |
Finer tworaionalmBETsDE2. Find the value of a, for which the polynomial 22 +ax + 2 has 1 as its zero.s-0in a Cartesian planeef |
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Answer» For polynomial 2x^2 + ax + sqroot(2) has 1 as its zero Then for x = 1 given polynomial should be equal to 0 Thus,2*1*1 + a*1 + sqroot(2) = 03 + a + sqroot(2) = 0a = - 3 - sqroot(2) |
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| 24. |
iibe difference betucen ton 'interns is d ond the ntod thee ies ie wsEind the integes |
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Answer» Let the two integer be 4x and 5xAccording to the question: 5x-4x=9x=9Two integers are 4×9=36 5×9=45 |
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| 25. |
5. In the given figure, DEII OQ and DFIOR. Showthat EF II QR.04 |
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Answer» ∆PQR s ED || QO .°. PD/DO = PE/EQ ( from formula )-------(1) ∆POR s DF || OR .°. PD/DO = PF/FR ( from formula )........(2) from (1) and (2) we get PE/EQ = PF/FR .°. EF || QR |
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| 26. |
In Fig. 6.20, DE Il 00 and DF II Q R. Show that EF||QR. |
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Answer» ∆PQR s ED || QO .°. PD/DO = PE/EQ ( from formula )-------(1) ∆POR s DF || OR .°. PD/DO = PF/FR ( from formula )........(2) from (1) and (2) we get PE/EQ = PF/FR .°. EF || QR |
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| 27. |
6. An ice cream vendor bought 48 orange-bars atRs 4 each and 25 vanilla cups at Rs 9 each andspent Rs 3 to buy ice to keep the ice creams |
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Answer» Total cost will be (48*4)+(25*9)+3=192+225+3=420rupees |
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| 28. |
is a terminating decimal or not.3017Examine whether |
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| 29. |
examine whether the following numbers are rational or irrational 1) 0.3796 |
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Answer» it is irrational number |
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| 30. |
examine whether the number is rational or irrational. (root2+root3)power 2 |
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Answer» (root2+root3)power 22+35 |
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| 31. |
3. Examine, whether the following numbers are rational or irrational:(i)(ii) va(iii) 2+ 3 |
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Answer» √7 is irrational√4=2 is rational√3+√2 is irrational√3+√5 is irrational√2-2 is irrational√2-√3 is irrational |
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| 32. |
4. In the given fig, which of the follovwing paths is theshortest(i) D to A direct(ii) D to A via C(iii) D to A via B[Hint : Joint A to C and B to D]2 |
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Answer» D to A direct is the shortest path |
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| 33. |
Exercise-14Find the circumference of the circle, whose radius is 17.5 cm.1m |
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Answer» you have taken wrong radius radius is 17.5 radius is 17.5 cm so circumference 2pie*r = 2 × 22/7 × 17.5 = 2 × 22 × 2.5 = 110 cm*cm |
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| 34. |
EXERCISE 14 (A)opy and complete the following table:RECTANGLESLengthBreadthPerimeterArea5 m因15 m |
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| 35. |
Challenge! Solve this famous puzzle!I sold goods worth 20 to a customer who paidfor it with a 100 note. As I did not have change, I gave the100 note to my neighbour and got change from him. I gave80 to the customer and kept 20 with me. Later myneighbour returned the 100 note to me saying that it wasfake. I gave him back his money. What was my loss?! |
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Answer» yes ,it was your loss yes, it is your loss yes, it was loss...... |
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| 36. |
SECTION DQuestion numbers 23 to 30 carry 4 marks each.2ο 귤啸.timi 研t ส TA man donates 10 aluminum buckets to an orphanage. A bucket made of aluminunof height 20 cm and has its upper and lowest ends of radius 36 cm and 21espectively. Find the cost of preparing 10 buckets if the cost of aluminum shee42 per 100 cm2. Write your comments on the act of the man. |
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Answer» Surface area of bucket = π(r1 + r2)l + πr1² l = √[h² + (r1 - r2)²] = √[20² + (36 - 21)²] = √625 = 25 cm ∴ Surface area of 1 bucket = 22/7 × 1866 cm2 Surface area of 10 buckets = 22/7 × 18660 cm2 Cost of aluminium sheet = Rs. 24631.20 |
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| 37. |
e, 503. Find all the common factors for the following numbers:b.. Find the HCF for the following numbers.b.12 and 1430 and 45a.a.9 and 1218 and 248 |
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| 38. |
A soda company is using aluminum to build asoda can. If they want the radius of the can tobe 1 inch and the height to be 4 inches, howmany square inches of aluminum do theyneed to make a single can? |
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Answer» Given,radius r = 1 inch, height h = 4 inches Surface Area of one soda can= 2*pi*r(r + h)= 2*22/7*1(1 + 4)= 2*22/7*5= 220/7= 31.4 inches |
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| 39. |
1-6x+9x² =? |
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Answer» Do like the answer if you find it helpful. the question is from factorisation and your answer is wrong your . the answer should be ( 3x -1) (3x-1) please try it once again |
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| 40. |
A man donates 10 aluminum buckets to an orphanage. A bucket made of aluminum isof height 20 cm and has its upper and lowest ends of radius 36 cm and 21 cmrespectively. Find the cost of preparing 10 buckets if the cost of aluminum sheet is42 per l 00 cm2. Write your comments on the act of the man. |
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Answer» Answer: Rs 4950 Step-by-step explanation: Find the surface area of 1 bucket: Surface Area = π(R - r)√[(R - r)² + h²] Surface Area = π(36 - 21)√[(36 - 21)² + 20²] Surface Area = 375π cm² Find the surface area of 10 buckets: 1 bucket = 375π cm² 10 buckets = 375π x 10 = 3750π cm² Find the cost: 100 cm² = Rs 42 3750π cm² = 42/100 x 3750π = Rs 4950 Answer: The cost is Rs 4950 hit like if you find it useful |
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| 41. |
(2x+1)+(x+1-6x+47 |
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| 42. |
(2x+1)+ (x+1) 6x+47 |
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Answer» (2x + 1)^2 + (x + 1)^2 = 6x + 472x^2 + 1 + 4x + x^2 + 1 + 2x = 6x + 473x^2 +2 + 6x = 6x + 473x^2 = 47 - 23x^2 = 45x^2 = 45/3 = 15x = sqroot (15) ans |
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| 43. |
11. Akash buys an article and sells it to Ankit at a profit of 12%. Ankit sells it back to Akash atteperExAkash previously paid for it. What is Ankit percentage loss?Sol0 |
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| 44. |
What sum of money lent out on simple interest will amount to₹1904 in 3 years at 1% per month? |
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Answer» 1 month = 1%12 months = 1 x 12 = 12%1 year = 12%3 years = 12 x 3 = 36% Original amount = 100%Original amount + interest = 100 + 36 = 136%Find the original amount:136% = Rs 19041% = 1904 ÷136 = Rs 14100% = 14 x 100 = Rs 1400 is the sum of money lent out |
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| 45. |
Calculate the simple interest onamount.9750 at 2.5% per month for 49Xper month for 2 years. Also, find the |
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Answer» the correct answer is 8& 28................... uwiegsbbns c bsjdjdvsjsj 10237 is the correct answer 487.5 is the right answer WE DONT KNOW JUST TYPING FOR COINS GUYS .... B asihxvsqudgeufgewiycgewicvqeydveqifgeoqufgeqougequcgrwiyvgew bdhxudjddhhxjdjujdjjcjcdnfnvjdn DC cjjddjfjjc |
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| 46. |
13.A person borrows500 for 1 yearsat 2 paise simple interest permonth. Find the interest he has topay: |
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| 47. |
simple interest on Re1 for a month at 1% rate is________ |
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Answer» Simple interest=PRT=1*1*1/12=1/12Rs |
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| 48. |
Find a, b, c and d in the figure given alongside. |
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| 49. |
e figure given alongside, find the measure of ZACD.75°45° |
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| 50. |
2) Find three rational numbers between thefollowing(i) 2 and 3(11) -1 and 1(mm) Zandliv3 58'8 |
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Answer» 1(2.1) 2(0)..3(21/80)..3(-2/8) |
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