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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. |
Page:Date: IORra teuiganometuic tables, evaluatawithaut3 |
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| 2. |
5. Find the rate per cent per annum at which Rs 16,250 will earn a compound interest of Rs 270compounded annually in 2 years. |
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| 3. |
27. The simple interest on a sum for 5 years is of the sum. The rate per cent per annum is512-962.1 00/(b)890(c)6%(d) |
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| 4. |
D) 210ム1The price of a shirt decreased fromマ180 toマ153, percent decrease in the price of thes |
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Answer» The decrease in price = 180-153 =27 RsSo %decrease = (27/180)×100=3×100/20=3×5=15% |
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| 5. |
\begin{array} { l } { \text { Evaluate the following } } \\ { ( 152 ) ^ { 2 } - ( 148 ) ^ { 2 } } \end{array} |
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Answer» a^2-b^2=(a+b)(a-b)hence (152)^2-(148)^2=(152+148)(152-148)=4(300)=1200 152×152 _ 148×148 = 23104 _ 21904 = 1200 ans |
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| 6. |
hsar painted the outside of the cabinet ofmeasure 1 m × 2 m x 1.5 m. How muchsurface area did she cover if she painted all except the bottom of the cabinet.2 m |
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| 7. |
4. Rukhsar painted the outside of the cabinet ofmeasure 1 m × 2 m × 1.5 m. How much2 mace area did she cover if she painted all except the bottom of the cabinet. |
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| 8. |
14. John lent2,550 to Mohan at 7-5 per centper annum. If Mohan discharges the debt after8 months by giving an old black and whitetelevision and 1,422.50. Find the price ofthe television. |
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Answer» Amount lent = Rs.2550 Rate of interest = 7.5% Interest for 12 months = 7.5 * 2550/100 = Rs.191.25 Interest for 8months= Rs.127.5 So amount to be returned = 2677.5 amount given = 1422.5 +amount of TV = 2677.5 amount of TV = Rs.1255 |
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| 9. |
Prameela painted the outer surface oa cabinet of measures I m x 2 m x 1.5m.Find the surface area she cover if sheinted all except the top and bottom[Ex: 14.1-3)of the cabinet? |
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Answer» Surface area of cabinet painted= 2(l*h + b*h)= 2(1*1.5 + 2*1.5)= 2(1.5 + 3)= 2(4.5)= 9 m^2 |
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| 10. |
148*(text*(0.074*(b*y))) |
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Answer» 148 divided by 0.074 is 2000 2000 is the right answer 148 divided by 0.074 is 2000 2000 is the correct answer 2000 is correct answer 2000 is the answer of the question 148 ÷ 0.074 = 2000 is the answer 148/0.0742000is correct answer 2000 is the right answer of the following 2000 is the right answer of the following 2000 the correct answer of the given question |
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| 11. |
148*4396 |
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Answer» d. 4396×148=650,608 4396×148=6,50,608 it is a answer 4396×148=6,50,608 it is a answer 4396 * 148 = 650608 answer 4396x148=650608 is the best answer it is multiplied to be4396×148=650,608 650608 is the correct answer 650608 is the right answer 650608 is the correct answer 650608 is the right answer |
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| 12. |
(1 153 adIlat any positive odd integer is of the fom 6q1, or 6q 3, or 6q 5,whereOTsome integer |
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| 13. |
A two digit number is obtained by either multiplying sum of the digits by 8 and adding 1 orby multiplying the difference of the digits by 13 and adding 2. Find the number. |
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Answer» Sol:Let the two digit number be 10x + y. Two digit number is obtained by multiplying sum of the digits by 8 and adding 1⇒ 10x + y = 8(x + y) + 1⇒ 2x - 7y = 1 ---------------- (1) Two digit number is obtained bymultiplying the difference of the digits by 13 and adding 2 ⇒10x + y = 13(x - y) + 2 ⇒3x - 14y = -2 ----------- (2) Solving equations 1 and 2, we get x = 4 and y = 1.Therefore, the two digit number is 41. |
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| 14. |
1. What are the three fundamental particles con-tained in atoms? |
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Answer» Protons, neutrons and electrons are three fundamental particles contained in atom. The three subatomic particles determine the overall charge of an atom, the chemical characteristics it can possess and its physical properties. |
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| 15. |
a purchased some lemons at 12 for a rupee She sold all of them at 6 for arupee Her profit is |
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Answer» C.P.=1/12S.P.=1/6so profit=(1/6-1/12)/(1/12)=1/*100=100% |
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| 16. |
Adil sold 148 more lemons than oranges.He sold 152 oranges. How many lemonsdid he sell? |
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Answer» let Adil sold x lemonsthen x-148=152x=152+148x=300 |
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| 17. |
A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected atrandom from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16. |
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Answer» LetSbethesamplespace. S={(1,1);(1,4);(1,9);(1,16);(2,1);(2,4);(2,9);(2,16);(3,1);(3,4);(3,9);(3,16);(4,1);(4,4);(4,9);(4,16)} Herefirstmemberofeachorderedpairshowsthenumberselectedfromxandsecondmembershowsthenumberselectedfromy.n(S)=16 LetEbetheeventthatproductselectedislessthan16. E={(1,1);(1,4);(1,9);(2,1);(2,4);(3,1);(3,4);(4,1)} n(E)=8 P(E)=n(E)/n(S)=8/16=1/2 |
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| 18. |
A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected atrandom from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 25 |
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Answer» Product of x and y1×1=1,1×4=4,1×9=9,1×16=162×1=2,2×4=8,2×9=18,2*16=323×1=3,3×4=12,3×9=27,3×16=484×1=4,4×4=16,4×9=36,4×16=63 Probability (less then 25)=11/16 |
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| 19. |
. A number x is selected at random from the numbers1, 2, 3 and 4. Another number y is selected atrandom from the numbers 1, 4, 9 and 16. Find theprobability that product of x and y is less than 16. |
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| 20. |
5. Name the property used( x = 1 ()winlyhy the recin |
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Answer» 5/9 × 9/5 = 45/45= 1 multicative inverse property is the correct answer It is Multiplicative Identity and Multiplicative Inverse |
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| 21. |
if we buy 6 lemons for 1rupee, to get 20% profit ,how many lemons should be sold |
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Answer» 2 is answer okkkkkkkk |
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| 22. |
57 and v , verify that xy y x. Name the property used. |
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Answer» x = 3/7 and y = 5/3 ,x+ y = 3/7 + 5/3 lcm of 7 and 3,x+ y = 44/21, now y+ x = 5/3 + 3/7, = 44/21so it is commutative property of addition |
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| 23. |
If x =3. and y, verify that x + y-y + x. Name the property used. |
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Answer» x+y = 3/7 + 5/3 = 9+35/21 = 44/21 y+x = 5/3 + 3/7 = 35+9/21 = 44/21 So it is proved that x+y = y+x Like my answer if you find it useful! |
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| 24. |
if we buy 6 lemons for 1rupee, to get 20% profit ,how many lemons should be sold for 1 rupee |
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Answer» 120 percent to 6100 percent to ?100 into 6 by 120=5 please give me like Sir |
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| 25. |
2. After subtracting 1/5th of a number from its double, we get 32 more than theoriginal number. Find the number.(1) 80 (2) 40 (3) 32 (4) 64 |
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Answer» 64 double say 32 , so double |
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| 26. |
A farmer connects a pipe ofinternal diameter 20 cm from a canal into a cylindrical tank inher field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at therate of 3 km/h, in how much time will the tank be filled? |
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| 27. |
r connects a pipe of internal diameter 25 cm from a canal into acylindrical tank in his field, which is 12 m in diameter and 2.5 m deep.If water flows through the pipe at the rate of 3.6 km/hr, in how muchtime will the tank be filled? Also, find the cost of water if the canalCBSE 2009C]27. A farmdepartment charges at the rate of007 per m3. |
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| 28. |
td-IX/here are 13 girls and 15 boys in a line. If one student is chosen at randomind the probabilicy shat/MATHS/T-1/2018-1he is a boy |
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Answer» Number of girls in the line = 13 Number of boys in the line = 15 Total possible out comes = Number of girls + Number of boys = 13 + 15 = 28 -------( 1 ) The number of outcomes favorable for one student is chosen at random that probability that he is a boy = 15 ---------( 2 ) P ( boy ) = ( 2 ) / ( 1 ) = 15 /28 |
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| 29. |
9.2.Io a and b are positive integers such that a - b = 2009, find a + b.20- 13. is |
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Answer» a² - b⁴ = 2009 a² - b⁴ = (a + b²)(a - b²)Now, we have to find out all the factors of 2009. Factors of 2009 are = 1, 7, 41,49, 287 and 2009 Now, we have to use the difference of squares of factorization to obtain (a + b²)(a - b²) = 2009 The prime factorization of 2009 is 7²*41. If we choose two factors 'x' and 'y' such that xy = 2009, a + b² = x and a - b² = y, then 2b² = x - y. If x = 2009, then y = 1 and 2b² = 2008, then, b² = 2008/2b =√1004 which is not and integer. Now, if x = 287, then y = 7 and 2b² = 280then, b² = 280/2b =√140 which is also not an integer. Now, if x = 49, then y = 41 and 2b² = 8 then b² = 8/2b =√4b = 2 Now, putting the value of b =2 in a² - b⁴ = 2009 a² - 2⁴ = 2009 a² - 16 = 2009 a² = 2009 + 16 a² = 2025 a =√2025a = 45 So, the value of a and b is 45 and 2 respectively. |
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| 30. |
what is prime numbet |
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Answer» A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. A number that is divisible by only 1 and itself (eg. 2 , 3 ,11etc) a number that is not divisible by any number except 1 and itselfexample: 5×1=5 & 1×5=5 |
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| 31. |
Given a parallelogram ABCD. Complete eachstatement along with the definition or property used. |
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Answer» 1. i) AD = BCii) angle DCB = angle BADiii) OC = OAiv ) DAB + CDA = 180° |
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| 32. |
√1+sin theta/1-sin theta +√1-sin theta/1+sin theta=2sec theta |
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| 33. |
Suppose a consumer can afford to buy 6 units of good I and 8 unit of good2 If she spends her entire income. The prices of the two goods are Rs 6 andRs Srespectively. How much is the consumer's income? |
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| 34. |
\sqrt { \frac { 1 + \sin \theta } { 1 - \sin \theta } } + \sqrt { \frac { 1 - \sin \theta } { 1 + \sin \theta } } = 2 \sec \theta |
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| 35. |
( 15 - 2 + 5 ) + 5 + 24 + 6 \times 7 |
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Answer» thnku |
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| 36. |
\frac{(1+\sin \theta)^{2}+(1-\sin \theta)^{2}}{2 \cos ^{2} \theta}=\frac{1+\sin \theta}{1-\sin ^{2} \theta} |
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Answer» we can write cos²x = 1-sin²x |
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| 37. |
Kamal started a business binvesting ? 50,000. After 6 monthsNanda joined him with a capital of380,000. After 3 years they earneda profit of 24,500. Find Kamal'sshare in the profit: |
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| 38. |
If α and β are the zeroes of the polynomial P ( x )tic polynomial whose zeroes are α23x2-4x + 1 , find aβ215:quadraand |
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| 39. |
Mother age is 4 times to her daughter's age Four years betoher daughter's age .Four years before, product of theirages is 160.Then write the quadratic equation and find their present ages. |
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Answer» 4x^2-16x-4x+16= 1604x^2-20x= 160-16 |
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| 40. |
todern farming methods require more inputs which are manufactured wsindustry, Do you agree? |
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| 41. |
td attel zouapipetsCoscuio13 Pipes A and B can fill an empty tank in 10 hours and 15 hours respectively. If both areopened together in the empty tank, how much time will they take to fill it completely? |
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| 42. |
Ife& β are the zeros of the quadratic polynomial p(x) = x2 + 7x + 12, find thevalue ofi) \alpha^{2} \beta+\alpha \beta^{2} \quad \text { ii) } \alpha^{2}+\beta^{2} |
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Answer» Sum of zeroes, α + β = -7 andProduct of zeroes, αβ=12 i) α²β + αβ²= (α + β)αβ= -84 ii) α² + β² =( α+β)²-2αβ= 49-24=25 |
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| 43. |
4. A can do a piece of work in 12 days and B can do it in 18 days. They worked together for 4 days, then A eiill and B had to finish the remaining work. In how many days was the work completed? |
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| 44. |
If 2 = 33 = 84 = 155 = 24Then7 = ? |
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Answer» 7=37 is the write answer 7=48is the correct answer 2 egual to 33. equal ti 84 equal to 155 equal to 24then 6 equal to 35.because every RHS no. distance is increased by plus 2. and 7 is equal to 48 so the correct answer for the dareof 7 is equal to 48 the right answer is 48 In this question 4 is equal to two times of upper number so by this proccess we can get answer as 48 48 is the ans as all 3,8,15,24 are going in AP 48 is the correct answer correct answer is 6= 35 and 7=48 36 is the answer of this question no is doubled then minus 1 will give the final result that means 7 equals to 49 -1 =48 answer the answer of this question is 40 It is a simple question 7=48 2=2²-1=33=3²-1=84=4²-1=155=5²-1=24so7=7²-1=48 If 2=3 3=8 4=15 5=24Then 7=48 ( Forty eight )48 is answer 48 is the answer all are one less than LHS NO Square 6 = 357=48. . 2=33=84=155=246=327=41 48 / 2=3;3=8.......;3,8,15,246=24+11=35;7=35+13=48 7*6+6=48 is right answer answer is 40 . because 7×5+5=40 answer is 40. because 7×5+5=40 2 = 33 = 84 =155 =246 =357 =48 2*2=4-1=33*3=9-1=8Similarly,7*7=49-1=48 the correct answer is 41 7=32the correct answer correct answer is 48 48 is the right answer 48 is correct and best answer 48 is correct answer ishka 40 answer hoga 36 is the correct answer x square - 1 gives ysimilarly2square - 1 gives 33 square -1 gives 84 square - 1 gives 155 square - 1 gives 24hence we get 6 square- 1 gives 35 x square - 1 gives y similarly 2 square - 1 gives 3similarly7 square - 1 gives 48 7=35 is the answer. 2=3. 3=8. 4=15. 5=24. iska sahi answer 48 hoga pattern is that we have to multiple the reading and preceding number of the given number so the answer is 8*6=48 If 2=3, = 2×2-1=3 3=8, = 3×3-1=8 4=15,=4×4-1=15 5=24=5×5-1=24So 7=48=7×7-1=48 ansSo 7=7*5+5 =35+5 =40 7=36 is a write answer 2. 33. 84. 155. 246. 357 48 is right answer 7=48 is a write answer If 2=3 3=8 4=15 5=24 then7=36 48 Will be the right answer The correct answer is 48 40 because in this second letter multiply by one and add upper word Answer is 48 |
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| 45. |
| डृदाहरण 5. (._._.l +__l -.»'..___l + i + ! ) =721-4 4-7 7-10 10-13 13-16 |
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| 46. |
\frac { 7 } { 10 } \div \frac { 8 } { 10 } |
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Answer» 7/10=0.78/10=0.8so 0.8 is greater |
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| 47. |
A tap can fill a tank in 6 hours. After half of the tank is filled, two more similar taps are opened. Wime taken to fill the tank completely ?a) 3 hrs 15min(b) 3 hrs 45 minfc)4 hrs |
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Answer» Time taken by one tap to fillhalf of the tank= 3 hrs. Part filled by the four taps in 1 hour =(4 x1/6)=2/3 Remaining part =(1 -1/2)=1/2 2/3:1/2::1 :xx=1/2x 1 x3/3=3hoursi.e.,45 mins.224 So, total time taken = 3 hrs. 45 mins. Option b is correct. |
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| 48. |
Pipes A and B can fill a tank in 5 and 6 hoursrespectively. Pipe C can empty it in 12 hoursThe tank is half full. All the three pipes are inoperation simultaneously. After how much timewill the tank will be full. |
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| 49. |
The two sides of the paralelogram ABCD are 12 cm and 8 cm. The heightcorresponding to the base CD is 6 cm. Find theo) area of the parallelogram(i)the height corresponding to the baseAD.uc6cm12 crm |
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Answer» ( ¡ ). Area Of Parallelogram = Base ×Height= 12×6 = 72=Area Of Parallelogram= 72 Cm (¡¡). Height Corresponding To Base Ad = X Area Of Parallelogram= Base × Height Area Of Parallelogram = 8 × X= 8 × X = 72X = 72\8= 9 = Height |
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| 50. |
1. In Fig. 9.15,ABCD is a parallelogram,AE L DOand CF丄AD. If AB = 16 cm, AE = 8 cm andCF = 1 0 cm, find AD. |
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