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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. |
a circle centred at P and radius 4 cm and other circle centred at Q with radius 16 cm touch Each Other externally A third circle with Centre R is drawn to touch the first two circle and one of the common tangent then find the radius of third circle |
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| 2. |
С.60°, 60°, 60°d. 30, 60, 909. Ram is 25 years younger than his father. After 10 years, their ages will be in theratio 1:2. Their present ages are (in years)a. 15 years, 40 yearsc. 25 years, 45 yearsb. 10 years, 30 yearsd. 5 years, 30 years |
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| 3. |
The ratio of Pawan's age to that of his younger brother is 7:5. If his younger brother is 25 years oldwhat is the age of Pawan? |
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| 4. |
17. Coefficient of variation of distribution are 60 and the standard deviation is 21, what is the arithmetic mean ofthe distribution? |
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| 5. |
1. If 15, k-1, -1 are in arithmetic progression, then the value of k'isa) 7b) 14c) 16d) 17 |
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Answer» If the terms are in aphencethe common difference will be samehence-1-(k-1)=(k-1)-15-1-k+1=k-1-152k=16k=8 |
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| 6. |
(1) Ajay is younger than Vijay by 5 years. The sum of their ages is 25 years. What isAjay's age? |
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| 7. |
(1) Ajay is younger than Vijay by 5 years. The sum of their ages is 25 years. What isAjay's age |
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Answer» let vijay age be xSo Ajay age is x - 5According to question,x + x - 5 = 252x = 30x = 15So, Ajay age is 15 - 5 = 10 |
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| 8. |
the speed of a train is increase from 120 km/h to 160km/h. find the per cent increase in the speed of tain |
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| 9. |
06. Bipasha's present age is 1/3rd of her father Monish's age. 10 years from now Monish's agewill be twice the age of his son Sumant's age. If three years ago Sumant was 10 years old,then how old is Bipasha currently? |
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| 10. |
The radius of a circle is increased by 1%. What is theincrease per cent in its area? |
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Answer» Here is the correct anwer You can check it from Google also |
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| 11. |
9. Find ‘a, if the coefficients of x2 and x3 in the expansion(N.C.E.R.T)of (3 + ax)9 are equal. |
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| 12. |
x + x3 + 8x2 + ax + b is divisible by x2+1, then the values of a and bare : |
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Answer» If f(x) is divisible by g(x), then remainder will be zero. So to find the values of a and b ,find the remainder and put it equal to zero to get the values of a and b. GIVEN :p(x) = x⁴ + x³ + 8x² + ax + bg(x) = x²+1, both are in standard form.Now on dividing p(x) by g(x), DIVISION PROCESS IS IN THE ATTACHMENT. |
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| 13. |
find the value of a and b so that x4+x3+8x2+ax+bis divisible by x2+1 |
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Answer» hope this helps u |
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| 14. |
27. Due to an increase in the price of sugar by 25%, by how much per cent must a householderdecrease the consumption of sugar so that there is no increase in the expenditure on sugar? |
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| 15. |
18., If x2+ I is the factor of x4 +x3+82+ax+ b, then find the value of a and b. |
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| 16. |
OURGiren - ABCAS is theTo prove insyaugl bipector of LA |
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Answer» X=y2y+2x+y=1805y=180°y=180/5y=36°2y=36×2=72°X=36° answer X=36 answer right answer X=y2y+2x+y=180 degree5y=180 degreeY=180/5Y=36 degree2y=36 x 2=72degree X= 36 degree |
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| 17. |
Find the probability distribution of the number of times a total of 9 appears in two throws of thedice |
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Answer» The total possibilities are 36and the sum should be 9 that possibilities are3,6..4,5...5,4..6,3...so 4/36=1/9so p(E) = 1/9 |
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| 18. |
00000, w27. Due to an increase in the price of sugar by 25% byhow much per cent must ahouseholderdecrease the consumption of sugar so that there is no increase in the expenditure on |
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Answer» thanks |
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| 19. |
MMERCIAL ARITHMETIC174. Ramya borrowed a loan from a bank for buying a computer. After4 years she paid 26,640 and settled the accounts. If the rate ofinterest is 12% per annum, what was the sum she borrowed?Tears Find the rate of interest. |
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Answer» thanks |
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| 20. |
years, Rahlm will be 5 times as old as he was stears ago. How old is Rahim today? |
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| 21. |
When Rupa was born, his father was 25 years old. Form an equafor this data. From the graph findThe age of the father when Rupa is 25 years old(ii) Rupa's age when her fther is 40 years old.2.tion and draw a graph |
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Answer» Let father age = x years Daughter age = y years Then the equation is X = Y + 25. i) The age of father is = 25 +25 =50 years ii) Rupa age 40 =y+25 40 - 25 = y Y = 15 years |
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| 22. |
A sum of money at simple interestdoubles in 10 years. In how many years,at the same rate, it will be tripled?(1) 20 years(3) 25 years(2) 30 years(4) 15 years |
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Answer» In how many years will Rs.150'00 will be doubled at rate of 12 |
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| 23. |
HallCS Luumuuu.11110 TIn a village, the number of males and females are 2440 and 3560 respectively. Thedecrease in the former is 10% while the increase in the latter is 5%. Find the increasor decrease per cent of the total population. |
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| 24. |
The diameter of a sphere is decreased by 25%. By what per cent does its curvedsurface area decrease? |
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Answer» If we reduce the diameter by 25%, the radius will also be reduced by 25%. let initial radius of sphere = rinitialCSA = 4πr² after reducing it25%,25% of r = (25/100)×r = 0.25rfinal radius = r - 0.25r = 0.75rfinalCSA = 4π(0.75r²) = 4πr²×(0.5625) decrease in CSA = initial CSA - final CSA = 4πr² -4πr²×(0.5625)⇒decrease in CSA =4πr²×(1-0.5625) = 4πr²×0.4375 Thus CSA decreases by 43.75%. |
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| 25. |
The diameter of a sphere is decreased by 20%. By what per cent does the curvedsurface area decrease? |
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| 26. |
W. On Sunday 845 people went to the Zoo. On Monday only 169 people weĹ. Whatnt.is the per cent decrease in the people visiting the Zoo on Monday? |
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| 27. |
increase or dectease per ceit.A number is increased by 20%. By what per cent the new number is decreaseso that the number restores the original value?3. |
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| 28. |
he number of integral value(e) of x satisfying the equation | x3-.51x4 ax-254.3k-2.5*-1 is(C) 1(D) infinite(R) 3 |
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Answer» the terms in the modules is written same as in R.H.S so, after substituting it with t , we get |t| = -t this can only be true when t = 0 , because modulus can't be -ve.. so modulus should be 0 => x⁴.3^|x-2|.5^(x-1) should be equal to 0 this true when x = 0 so, only 1 integral solution.. option C |
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| 29. |
original salaryOn Sunday 845 people went to the Zoo On Monday only 169 people went. Whatis the per cent decrease in the people visitingthe Zoo on Monday? |
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| 30. |
15. A and B throw with one dice for a stake of Rs. 441-which is to be won bythe player who first throws 2. If A has the first throw, what are their respectiveexpectations.? |
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Answer» Expected wining A:-[(1/6)+(5/6*5/6*1/6)+...]*44=1/6/(1-25/36)*44=6/11*44=6*4=24 |
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| 31. |
A and B throw a pair of dice. If A throws 9, find B's chance of throwing a higher numb |
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| 32. |
. in the series giren beowHI A K MIL. NO. 1The question mark refer toa) po |
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Answer» HI,JI,KL,ML,NO The next term will be PO Like my answer if you find it useful! |
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| 33. |
(b) Find the mean and the standard deviation ofthe numbers obtained in a single throw ofone dice |
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| 34. |
[ ( \frac { 5 } { 6 } ) ^ { 2 } \times \frac { 9 } { 4 } ] \div [ ( - \frac { 3 } { 2 } ) ^ { 2 } \times \frac { 125 } { 216 } ] |
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Answer» (25/36×9/4)/(9/4×125/216)=(25/16)/(125/48)=25×48/(125×16)=3/5 but answer is 6 by 5 |
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| 35. |
12.If x > 2 then the number of values of x satisfying vi1) 02) less than 3000 3) 20184) not finite |
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| 36. |
(b)(-6)-[(-48)+(-12)]+(-2)-6 |
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Answer» -6-[-60]-8-6+60-860-1446 |
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| 37. |
A man loses 25% of his money. After spending 20% of the rest, he has 10,200 left within. How much money did he have originally? |
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Answer» Find the percentage of money left after he loses 25% 100 - 25 = 75% Find the percentage of money left after he spent 20% of the rest: 20% x 75 = 0.2 x 75 = 15% 75 - 15 = 60% Find the original amount: 60% = Rs 10200 1% = 10200 ÷60 = Rs 170 100% = 170 x 100 = Rs 17000 Answer: He had Rs 17000 originally |
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| 38. |
(A) 6(B) 6(C) 62(D) 6 |
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Answer» (d) option. (d) option. |
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| 39. |
x^2-(3√2+2i)X+6i√2=0 |
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Answer» hii Monikahow are you |
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| 40. |
The magnitude of the vector 6i + j+ k is |
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Answer» Magnitude of the vector = √(6²+1²+1²)= √(38) units Please hit the like button if this helped you. |
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| 41. |
R. Determine the rate of interest at which a sum of money will becometimes the original amount in 1-years, if the interest is compounded half-yearly.216125 |
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Answer» 40% is the correct answer of the given question The correct answer is 40% is your answer |
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| 42. |
The amount doubles in 5 years by the simple interest. How many years arerequired for the same amount with same rate of interest to get converted to fiveTimes the original amount? |
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| 43. |
& Determine the rate of interest at which a sum of money will become216times the original amount in 15 years, if the interest is compounded half-yearly.125 |
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Answer» 40%is the correct answer of the given question |
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| 44. |
Tick ()to the correct answer1. \begin { equation } \frac{n}{2}+\frac{n}{3}=7, \text { then } n \end { equation }(a) 5(b) 10(c) 82, x + 5x + 7 = 25, then x is :\begin { equation } \begin{array}{lll}{\text { (a) } \frac{19}{6}} & {\text { (b) }} & {\frac{-19}{6}}\end{array} \end { equation }(c) 13 |
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Answer» 1) n/2 + n/3 = 7 Take LCM (3n + 2n)/6 = 7 5n = 42 n = 42/5 = 8.5 2) x + 5x + 7 = 25 6x = 25 - 7 6x = 18 x = 18/6 = 3 |
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| 45. |
As(at2, 2at) and B-la-ta].then AB =19,A) alB) a I+ |
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| 46. |
Q.19The value of x satisfying the equation1+ -1 + -1 + - |
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Answer» 1/1+1/1+X/X+11/1+X+1/X+2X+2/X+2+X+1X+2/2x+3=3/44(X+2)=3(2x+3)4x+8=6x+9-2x=1x=-1/2 |
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| 47. |
Solve each equation for the indicated variable19) z =m-x , for x |
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| 48. |
theequationx + 4x+1=0,thenfindthevalue ofIf a,b,y are the roots of(a +B)-+ +(6+1)-+(y+)-!.(1)1(2)4(3)(4)19 |
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| 49. |
8i2 - 6i 2 6i |
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| 50. |
{ =TS %8I ⏠|
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Answer» 5218 * 52 =? (5000 + 218)*52= 5000*52 + 218*52= 260000 + 11336= 271336 5218x 52= 10436 26098x 271416 |
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