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. |
determine if a triangle with sides of given lengths is a right triangle. (1) 9,12,15 |
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Answer» as we can see that 9 ^2+12^2 = 144+81= 225that is equal to 15^2hence it is a right angle triangle |
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| 2. |
(D) 3/5What would be the interest accrued in twyears if 800 is invested 1 0% interecompounded annually?(A) P 162(B) R 160Q56(C) 166(D) 168 |
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| 3. |
3 and-3 are the two rthe values of a and b.Let us solve:3y-20 160-2y3. If4. |
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Answer» 3 |
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| 4. |
Determine if a triangle with sides of given lengths is a righttriangle.(i) 9, 12, 15(ii)15, 20, 25(iii)10, 22, 26 |
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| 5. |
Given below are some triangles and lengths of line segments. Identifyin which figures, ray PM is the bisector of angle QPR. |
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| 6. |
The _____ criterion is used to construct atriangle when the lengths of the three sidesare given.(A) SAS (B) SSS (C) RHS (D) ASA |
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Answer» (B) SSS But how? |
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| 7. |
e e रदMW‘W “दा तर डा २ बनकर सना हे_He हब 2 2८०७ (o o Tl e <oदफा S |
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Answer» Total CP = 3000+3000 = 6000 Profit on one is 500 so SP1 = 3000+500 = 3500 Profit on other is 5% so SP2 = 3000*1.05 = 3150 total SP = 3500+3150 = 6650 overall profit = 6650-6000 = 650 |
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| 8. |
.5 cm and b-6cm-FindIn a right-angled triangle, the lengths of its legs are given as a-4length of the third side.6. |
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| 9. |
33" +22 +5 is divided by 2 tl find theremainder |
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Answer» the remainder should be 10 By remainder theoremwe can find that3(-1)^4+2(-1)+5= 10 the remainder is 10 🤔 the remainder should be 10 by dividing 3x⁴+2x²+5 by x+1 answer (remainder) should be 10..... |
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| 10. |
a-xCIf a + b + c=0and|b-x|=0, then find the value ofx.caa cx |
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| 11. |
11. Which of the following Roman numerals is correct?(a) XC(b) XD(c) DM |
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Answer» answer A is the correct ansew XC is right answer of this question |
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| 12. |
1. For a =b =,c=1, verify that (a xb) xc = a x(bx c). |
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| 13. |
21.Find the value of(xe/m+bx(çŹAT+c x (xc/x"f+0=?b. 0d. of thesec. xabc |
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| 14. |
(ARI 56(C) 240(B) 800(D)R 160 |
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Answer» 100-(15+25+20+10)=100-70=30%leftif X is the amount of total moneyX*30/100=240X=800rupeeshence 20% on education20/100*800=160rupees |
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| 15. |
56 p as a per cent of R 2.80 |
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Answer» 56 p as a per cent of Rs.2.8056 p as a per cent of 280 p=(56/280)*100=20 |
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| 16. |
(3) What is the sum of the first 30 natural numbers ?(A) 464 (B)465 (C) 462(D) 461 |
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Answer» We know that Sum of first n natural numbers = n ( n + 1 )/2 Here , n = 30, S30 = [ 30 ( 30 + 1 ) ] /2 = ( 30 × 31 ) / 2 = 930 / 2 = 465 Therefore , Sum of the first 30 natural numbers = S30 = 465 Like my answer if you find it useful! |
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| 17. |
etresConvert the given lengths to kilom(ii) 25,500 cm(iv) 4905 hm(i) 3478 m(ii) 465 m |
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Answer» i) 3.478 km, ii) 25.5 km, iii) 0.465 km, iv) 490.5 km |
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| 18. |
9.Toffees are bought at 8 for a rupee and sold at 6 for a rupee. Find the gain per cent. |
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| 19. |
2 and b 3, find the value,ofa + b2a -3ba.a2 +ab(v) 5a2 -2ab3 |
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| 20. |
Construct a quadrilateral LIFT in which LI-4.0cm, IF- 3.0cm, TL 2.5 cm,LF 4.5cm and IT 4.0cm. |
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| 21. |
VerifyXaxtaby tbZ to |
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Answer» hfsobc Sri on visitors |
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| 22. |
1. Construct the following quadrilate(1) quadrilateral LIFTLI=4 cmIF = 3 cmTL = 2.5 cmLF = 4.5 cmIT = 4 cm |
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| 23. |
(-1/14)*(text*((13/56)*(f*(r*(m*o))))) |
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Answer» -17/56 is correct answer |
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| 24. |
Verifyithat b xc a if a bc, for:(i) a 56, b(ii) a 156, b 13 |
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Answer» thanks kal mara paper ha math ka |
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| 25. |
Find the amount and the compound interest on 24,000 for six months if the interest is payable quarterly at the rate of 20 paise a rupee per annum, |
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Answer» P = Rs. 24000Time or n= 6 months = 2 periods of 3 months each or n= 2.Rate = 20 paisa per onerupee per annum= 20 paisa per 100 paisaR = 20 % per annumThere are 4 quarters in a year so, R = 20/4 = 5 % for 3 monthsA = P(1 + R/100)ⁿA = 24000(1 + 5/100)²A = 24000× 105/100× 105/100A = 12× 105× 21A = 26460 Rs.Compound Interest = A - PCompound Interest = 26460 - 24000Compound Interest = 2460 Rs. |
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| 26. |
465 coins consists of 1 rupee, 50 paise and25 paise coins. Their values are in the ratio5: 3:1. The number of each type of coinsrespectively is |
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Answer» 465 coins consist of 1 rupee, 50 paise and 25 paise coins.Their values are in the ratio 5 : 3 : 1.The number of each type of coins respectively is Let 1 re coin = x, 50p coin =y, 25p coin = z,x + y + z = 465 and 4x : 2y : z = 5 : 3 : 1 This is the value ratio.4x : 2y = 5 : 312x = 10yx/y = 5/62y : z = 3 : 12y = 3zy/z = 3/2x : y : z = 5 : 6 : 4 = 31(5 : 6 : 4)Solving x = 155, y = 186, z = 124 coins Answer:155,186,124 numbers of 1 re, 50 paise and 25 paise coins. |
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| 27. |
8, The formula, hrelates the dimensionsla, hrelates the dimensionsb, + b2of a trapezoid. Which way can you rewrite thisrelationship?b A (b + b2) |
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Answer» Thanks |
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| 28. |
72, p) and (0 3).By examining the chest x-ray, the probability that TB in deducted whin a person is asuffering from it is 0.99, the probability of incorrect diagonosis is0.001. In a certainin 1000 persons suffer from TB, a person is selected at random and is diagonsed toTB. What is chance that he actually has TB. |
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| 29. |
1Use a suitable identity to obtain each of the following products:h)(2yă5) (2y +5)(c). (2a-7)(2n-7)(A (e+PJ(-a2 + b)(g)(6x-7) (6x + 7)a-9b) (7a -9b)24 2 4 |
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Answer» Crop only the question that you want a solution for. We will not be able to provide solutions to multiple questions. rong Answar |
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| 30. |
EXERCISE 4.2Construct the following quadrilaterals.(1)1.quadrilateral LIFTLI = 4 cmIF=3cmTL = 2.5 cmLF = 4.5 cmIT = 4 cm |
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| 31. |
2, -1The graph of which of the followingequations is parallel to the graph of3x-y 2?(A) 3xty-2(B) 2x-3y 2(C) 6x-2y 3(D) 6x + 2y4 |
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Answer» for option c6x-2y=32(3x-y)=33x-y=3/2so the graph of 6x-2y=3 os parallel to the graph of 3x-y=2 |
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| 32. |
Find the amount and the compound interest on 24,000 for six months if theinterest is payable quarterly at the rate of 20 paise a rupee per annum. |
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Answer» A=P(1+R/300)^2 =24000(1+20/300)^2=24000(32/30)^2 so A=27306.67so interest=3306.67 |
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| 33. |
tb |
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Answer» (x-y)^3 = x^3 -y^3 -3xy(x-y) 5^3 = x^3 -y^3 -3×84×51260+125 = x^3 -y^3 |
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| 34. |
4,000 in 1 3 years at 2 paise per rupeeper month. |
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Answer» Principal amount (P) = 4000 rupeesTime (t) = 4/3 yearRate = 2 paiseper rupee(100 paise) per month = 2% monthely = 2×12 = 24% annual S.I = P×R×t/100 = 4000*24*4/100*3 = 16*80 = 1280 Interest = 1280 rupeesso, total Amount after 4/3 years = 4000+1280= 5280 rupees |
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| 35. |
Find the interest on 600 for 2 years at the rate of 2paise per rupee per month-(A) 288(C) 150(B) 250(D)き160 |
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| 36. |
(b) Factorize: x2- y2-6x +9 |
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| 37. |
131556xpressasas a decimal, correct to four decimal places.1 nlaces |
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Answer» Soin decimal= 15/56= 0.267857 |
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| 38. |
2. Find the amount from the investment of4500 for two years at 5 paise per rupeeinterest |
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| 39. |
Formulala tb)2 |
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Answer» a2+b2+2ab is formula ka answer hoga a²+b²+2ab is the answer (a^2 + b^2) = a^2 + b^2 + 2ab |
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| 40. |
4. In Fig. 10.38, Z ABC 69째, Z ACB 31째, findZ BDC.69째31째 |
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Answer» In ∆ ABC,∠A + ∠ABC + ∠ACB = 180°∠A = 180° - 100° = 80° ∆ABC and ∆ DBC have same base.∠B = ∠A∠B = 80° |
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| 41. |
ng the chest X-ray, probability that TB is detected when a person ising 18 0.99, The probability that the doctor diagnoses incorrectlyperson has TB on the basis of X-ray is 0.001. In a certain city 1 in 1000persons suffer from TB. A person is selected at random and is diagnosed to havethat aTB, what is the probability that he actually has TB? |
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| 42. |
17.By examining theactually suffering is 0.99. The probability that the doctor diagnoses incorrectlythat a person has TB on the basis of X-ray is 0.001. In a certain city 1 in 1000persons suffer from TB. A person is selected at random and is diagnosed to haveTB. What is the probability that he ctually has TB?chest X-ray, probability that TB is detected when a person is |
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| 43. |
2then find the value of b6x-then find the value of b.5/IF 36x2-b6x |
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Answer» (6x+1/5)(6x-1/5)= (6x)²- (1/5)²36x²-b = 36x²- 1/25-b = 36x²-1/25 -36x²b = 1/25 36x^2-b=36x^2-6x/5+6x/5-1/25-b=-1/25b=1/25 |
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| 44. |
32 and b-S+2,ind the value of a? + - 50b., find the value of a +b-5ab. |
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Answer» A = (√3-√2)/(√3+√2) =(√3-√2)/(√3+√2)×(√3-√2)/(√3-√2) [ rationalizing it] =(√3 -√2)²/1 =(√3 -√2)² = 5- 2√6b=(√3+√2)/(√3-√2)×(√3+√2)/(√3+√2) [ rationalizing it]=(√3+√2)²/1 =(√3+√2)² = 5+2√6now, a²+b² - 5ab= (5-2√6)² + (5+2√6)² - 5(5-2√6)(5+2√6)=25 +24 -20√6 +25 +24 + 20√6 - 5(25-24)=98 -5 = 93 |
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| 45. |
(a) If z 2-3i, then find z+ |
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Answer» given z=2-3iZ̅=2+3iz+z̅=(2-3i)+(2+3i) =4 |
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| 46. |
Find the Taylor series for f (z) = sin z about z = |
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Answer» f(z)=sin zf(π/4)= sin π/4=1/√2 |
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| 47. |
22. LINIU(a+b+c)++ b+ c-o2find the value of a6. If a = 2 b = 4c, find the value of adecimal nlaces |
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Answer» Given,a = 2b = 4ca = 4c......(1)b = 4/2 c = 2c..........(2) So, (a + b + c)^2/a^2 + b^2 + c^2 Put value of a and b from eq(1) and eq(2)= (4c + 2c + c)^2 / 16c^2 + 4c^2 + c^2 = 49c^2/21c^2 = 7/3 |
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| 48. |
I. If a + b = 10 and ab = 21, then find the value of a^3 + b^32. If a + b =8 and ab=6, then find the value of a^3+ b^3 |
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Answer» that's wrong |
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| 49. |
Find simple Interest when :Cipal =400, Rate = 20 paise per rupee per annum, Time = 6 months(a) Principal = 7400Con Date - 20/orannum T |
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Answer» simple interest =p×r×t. now simple interest =400×20×6. =48000 simple interest= P*R*T = 400*20*6= 48000 480 is the correct answer Put the formula of S. I that is P×R×T/100 if it is per annum the time must be in years Interest =p×r×t/100 so, 400×20×6/100= 480 simpl interest - 48000 40 is correct answer 3600 रूपए छः महीने के is a right answer480 छः महीने के तिन हजार छः सो रूपए 40 is the correct answer 480 it is right answer P- 400R-20T-6SI=P×R×T400×20×6=48,000 simple internet= principle×rate×time=400×20×6=48000 48000 is the best answer 480 is the correct answer of this question 480 is right answer that si=p*r*t/100 Here,P=400R=20T=6S.I=PRT/100400×20×6/1004×20×6=480Rs principal = 400 rupeesrate = 20 paise per annum time = 6 monthsby the PRT/100 rule(400*20*6/12)/100= 40 rupees therefore simple interest = 40 rupees simple interest =P*R*T=400*20*6=48000 |
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| 50. |
A. Tick (the correct option.1. It is a peripheral device which will print anything created on a computer onto apaper, whether it be text or photos.a. Scannerb. Printerd. Monitorc. Projector2. Which storage device has the storage capacity upto 2 TB?c. Hard Disca. CDb. DVDd. Blu-ray Disc3. Which internal hardware component works as an interface between the computerand other peripheral devices?a. Heat Sinkb. PortC. SMPSd. Graphics Card4. Which one of the following is an example of Internal Hardware Component?Keyboardd. Motherboarda. Monitorb. Mousec.5. In which type of CD format, data can be erased and the CD can be reused?c. CD-ROMd. of thesea. CD-Rb. CD-RW |
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Answer» 1)printer2)hard disk3)port4)motherboard5)CD-RW(read write) name the oldest computer name the printer used for printing text and graphics with high speed but at low cost 1) Printer 2) Hard disk 3)Port 4)Motherboard 5)cd - rw (read write 1 . Hardware and software s n national public school . The ____ is often referred to as the mother of all components attached to it, which often include peripherals, interface cards, sound cards, video cards and so on |
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