InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 77801. |
WORKOUTie1. Compare the fractions given below anns given below and put appropriate symbol (<, > or =) incircle.(Hint: Cross multiply)(i) 10(iv):03(v)109(vi) |
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Answer» i) 1/3 > 1/5ii) 1/3 < 2/4iii) 3/10 < 2/6iv) 5/9 > 3/8v) 2/5 > 2/9vi) 1/6 < 3/4 |
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| 77802. |
Computer-/2+1 correcto two decimal places/ |
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| 77803. |
Prove that:x^{\log y-\log z} \cdot y^{\log z-\log x} \cdot z^{\log x-\log y}=1 |
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| 77804. |
(b) (b) Solve the following quadratic equation .Correct to two places of decimals.5x(x+2) 3 |
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| 77805. |
4 ^ { \operatorname { log } _ { 2 } \operatorname { log } x } = \operatorname { log } x - ( \operatorname { log } x ) ^ { 2 } + 1 |
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Answer» 4^log(2)logx = logx -(logx)²+1 here 4 = 2² so 2^2log(2)logx = logx -(logx)²+1 => (logx)² = logx -(logx)² +1 assume logx = t => t² = t-t²+1 => 2t²-t-1 = 0 => 2t²-2t+t-1 = 0 => 2t(t-1)+1(t-1) =0 => (t-1)(2t-1) = 0 so, t = 1 , t = 1/2. the value of logx = 1, 1/2 or x = e or √e. |
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| 77806. |
Write down the degree of zero polynomial. |
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Answer» Thedegreeof thezero polynomialis either left undefined, or is defined to be negative (usually −1 or ). Like any constant value, the value 0 can be considered as a (constant)polynomial, called thezero polynomial. It has no nonzero terms, and so, strictly speaking, it has nodegreeeither. Please hit the like button if this helped you. |
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| 77807. |
5.Show that functions and g defined by f(x)-2 log x and g(x) = log x' are not equal eventhough log x 2 log |
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Answer» Though mathematically, log(x^2) = 2log(x),f and g are not equal.This is because the domain of f and g are different.Domain of f is x>0Domain of g is all real numbers - {-infinity, 0, +infinity} So, f and g are different. |
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| 77808. |
what is the degree of zero polynomial |
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Answer» 0 is the correct answer of the given question The degree of the zero polynomial is either left undefined, or is defined to be negative (usually −1 or ). Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. plz choose my answer the best the correct answer is 0 |
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| 77809. |
An auto rickshaw fare in the cityis charyedR 1 for the first kilometer and 4 per kilometertor subsequent distance covered Write the linear equation to express the above statement.Draw the graph of the linear equation. |
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Answer» Solution :- Let the total distance covered be x km and, the total fare be Rs. y Since, Total fare = fare for the first kilometer + fare for the remaining kilometer of distance ...........................(1) We know that the fare for first kilometer is Rs. 10 Fare for the remaining kilometers i.e. (x - 1) = 4(x - 1) Put values in (1) ⇒ y = 10(1) + 4(x - 1) ⇒ y = 10 + 4x - 4 ⇒ y = 4x + 6 When x = 0, we have, y = 4× (0) + 6, So, y = 6 When x = - 1, we have, y = 4× (- 1) + 6, = - 4 + 6 So, y = 2When x = - 2, we have, y = 4× (- 2) + 6 = - 8 + 6 So, y = - 2 x = 0 ; y = 6 x = - 1 ; y = 2 x = - 2 ; y = - 2 Now, you can draw the graph easily. |
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| 77810. |
鼠Check whether the equation x(x-2-2x+y+8+0is a linear equation or not. |
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Answer» the given equation is x(x-2) -2x+y+8=0 => x²-2x-2x+y+8 =0 => y-4x+x²+8 =0 => y = -x²+4x-8 which is an equation of parabola ,that is NOT linear |
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| 77811. |
The Autorikshaw fare in a city is charged Rs 10 for the first kilometer and Rs 4 per kilometerress the above statement. Drawfor subsequent distance covered. Write the linear equation to expthe graph of the linear equation. |
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Answer» thanks sir |
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| 77812. |
14. In the adjoining figure, DE | BC.Prove that(i) ar(AACD) = ar(AARE)(i) ar(AOCE) = ar(△OBD). |
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| 77813. |
14. In the adjoining figure, DE 11 BC.Prove that(i) ar(AACD) - ar(AABE)(ii) ar(AOCE) ar(AOBD) |
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| 77814. |
CoThrough P. draw a line seg3. Draw a line and take a point Ponitdicular to PO at userperpendicular to? Now draw a perpencompass).and construct its acis of syreLet Aangle eLAOB.She |
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Answer» First draw a line and take a point on it make 90 degree angle . make perpendicular....Hope this will help u chap..!!If u like it pls follow me...!! |
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| 77815. |
Passage (15-16):closed rectangular box of lengthbreadth and height are 3m, 2m,and 1m, respectively.16. Cost of cloth to cover box completely if 1 m2 cloth cost 710 is1)き223) R 22002) 2204)き200 |
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| 77816. |
(ii) A car covers a certain distance at aspeed of 45 km per hour. What isthe distance that it covers in 6 hoursat the same speed? |
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Answer» Car covers distance of 137/3 km in one hour. Then,Distance cover by car in 6 hours = 137/3 * 6= 137*2= 274 km |
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| 77817. |
22011. Find if the given fractions are equivalent i. 2 and 3. ii. and 512 |
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| 77818. |
9. Evaluate v3 up to two places of decimal.10. Evaluate 2.8 correct up to two places of decimal.1. Evaluate 10.9 correct up to two places of decimal. |
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Answer» 9.ans=Value of√3 upto 2 decimal places is1.73 9.)1.7310)1.6711)0.94 9) √3= 1.7310) √2.8=1.6711)√0.9=0.94 9.and=value of √3 up to 2 decimal places is 1.73 right answer |
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| 77819. |
secEvaluate :Evaluate : s sec? (log x) dxt |
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Answer» tan(logx) + cis correct answer |
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| 77820. |
Calculate \lim _{x \rightarrow 0}|x| |
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Answer» LHL is lim -x ---> 0RHL is lim x ---> 0 |
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| 77821. |
8.Distinguish the terms zero polynomial and zero of a polynomia. |
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Answer» A “zero of a polynomial” is a value (a number) at which the polynomial evaluates to zero. For example, the polynomial x^2-3x+2 has 1 and 2 as its zeros. The zeros of a polynomial are commonly called its “roots”. Every polynomial has its own multi set (an un ordered list) of zeros. In fact, a polynomial is uniquely defined by its zeros, up to scaling by a constant value.The “zero polynomial” is a specific polynomial, written 0. All its coefficients are zero, and treated as a function it’s a constant function. We could write this polynomial as 0+0x+0x^2+0x^3+… to emphasize that it is a polynomial, but it’s a little strange because its degree is undefined. The constant 1 is also a polynomial, but it has degree zero— a “zero-degree polynomial” and the “zero polynomial” are different. |
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| 77822. |
\lim _{x \rightarrow 0} \frac{\sqrt{x^{2}+1}-1}{\sqrt{x^{2}+4}-2}\left(\frac{0}{0} \text { form }\right) |
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| 77823. |
\operatorname { lim } _ { x \rightarrow 0 } ( \frac { 1 } { \operatorname { sin } x } - \frac { 1 } { \operatorname { tan } x } ) = 0 |
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| 77824. |
reducing them to a pair of linear equation |
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| 77825. |
ch side be 14ARworksheet 3of a parallelogram is 14 cm. Its distance from the opposite side is 16.5 cm.One side of aFind the areathe area of parallelogram. |
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| 77826. |
Worksheet 3equal pDraw a line segment AB - 5 cm and divide it internalyartsand divide it internally into sixment of length 6.4 cm and divide it into four equalpart |
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| 77827. |
Bharat covered a distance of 210 km. He found that two-fifths of his journey was stilleft. Find the total length of the journey. |
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| 77828. |
CALI STIL!11. A car covers 1002 km in 16 hrs. At what speed per hour does the car move? |
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Answer» speed= displacement/time =1002/16 =62.625 km/hour speed of car is, 1002/16=62.62km/hr 62•625 is the right answer. |
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| 77829. |
1,8, 27, 64, 125,...?1) 2222)216 3)2254) 220 |
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Answer» 1³ = 12³ = 83³ = 274³ = 645³ = 1256³ = 216so option (2) is correct answer |
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| 77830. |
4113220 4 |
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| 77831. |
CuiIfy-2 and xty-8, then the valu) 5, 3xty-8, then the values of x and y are respectively.b) -3,5c) 3,5 |
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| 77832. |
Evaluate log2005()lo9a04()log2003/1) log220051092003 10022005(B) 1)(A) 1(C) 2005!2004(D) 2005 |
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| 77833. |
radius of circle whose area is 616m² |
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Answer» Area=πr²616=22/7×r²r²=616×7/22r²=196r=✓196r=14radius =14 cm radius = 14 cm is the correct answer of the given question 14 is the answerarea=22/7*r^2616=22/7*r^2616×7/22=r^2196=r^214=r |
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| 77834. |
Zero hasreciprocals. |
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Answer» zero has no reciprocal In the real numbers,zerodoes nothaveareciprocalbecause no real number multiplied by 0 produces 1 (the product of any number withzeroiszero zero has zero reciprocal |
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| 77835. |
li sthitable example.b)If f(x) = x3 + x2-2, find f(1)-f(2). |
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Answer» f(1) =1+1-2 =0 f(2) = 8+4-2 = 10 So f(1)- f(2) = -10 |
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| 77836. |
\operatorname { li } _ { \theta \rightarrow 0 } ( \frac { 1 - \operatorname { cos } 2 \theta } { \theta ^ { 2 } } ) |
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| 77837. |
Worksheet 3Simplify the following numerical(a) 1.1 2.5-1.51.3+1.2 x 0.5 0.9c)28.9 - 20.8 + 3.9C50 |
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| 77838. |
Worksheet 3. Find the following products using Identity-III.(i)(2x + 7y) (2x - 7y) |
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Answer» Using the identity: (a-b) (a+b) a²-b²(2x) ²-(7y) ²4x²-49y² using idenity(a+b)(a-b)a2-b2(2x^2)-(7y^2)4x-49 |
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| 77839. |
Worksheet 31. Find whether it is possiblegiven below:(a) 3cm, 4cm, 7cm(b) 6 cm, 8 cm, 7 cm |
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Answer» 1.In triangle sum of two side is always greater than third side soa) 3+4 = 7 = 7, not possibleb) possible as sum of two sides is always greater than third side |
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| 77840. |
re70 apples, how many did he eatapples (alTrappes,the remaining to a trust. If he is stil4 220 marksnents, i.e., ior A orins he atemore than he ate. If liebre than he ate means he solduttsold 70 apples, hoen : Apples sold = 70.. Hence he ate 50 apples.te. If he se40appThEx. 8, A man gives 40% of his money to his children and 20% o= 70x. Tx5-50.left with 9600, what did he originally have?7 50.Sol. Let the original amount of money with him beto a, and 20% of40% of the original money is given to chil100..:. Remaining money00 'givenMon |
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| 77841. |
Given that one root of the quadratic equation ax2+bx + c =0 is three times theother, show that 3b2= 16ac |
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Answer» Solution Let one root be x, then other root will be 3xx+3x=-b/a ---- 4x=-b/a (i)x*3x=c/a ---- 3x²=c/a (ii)Substituting x form (i) into (ii)solve3b²=16ac |
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| 77842. |
If y =e^√cotx find dy/dx |
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| 77843. |
Q.20.The differenoe of two natural numbers is 5 and the difference of therreciprocals is 1/10. Fins the numbers. |
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| 77844. |
. /Tthe shadow ofa post becomes 3 metre smaller when the angle ofelthe sun increases fromeasm 45° to 60°. Let us find the height of the post.1.732 (approx)]Let us find thee approximate value correct upto three decimal places, assumv9 |
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| 77845. |
19. Let us simplifyD121li) |
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Answer» 11/30 is the correct answer 1/5+2/3-1/2= 1×6+2×10-1×15__________________ 30=6+20-15____________ 30=11/30 is amswer is correct 11/30 is the best answer 11/30 the correct answer of the given question 11/30 is the correct answer of the given question 11/30 is the correct answer no print I Dan CBS's FCC high HVDC DDR ggghbdss 11/30 is the best answer. 11/30 javeiabamabuakaoabahaha 11/30 is the best answer 11/30 is correct answer of this question 11/30 is the best answer. 11/30 is correct answer. |
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| 77846. |
2. Let us simplify:2 |
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Answer» (8a*a*a ÷ 27(1/x)(1/x)(1/x))^(2/3) × (64a*a*a ÷ 27(1/x)(1/x)(1/x))^(-2/3) = (2a×2a×2a×x×x×x÷(3×3×3))^(2/3) × (4a×4a×4a×x×x×x÷(3×3×3))^(-2/3) = (2a×x÷3)(2a×x÷3) ÷ (4a×x÷3)(4a×x÷3) = (4a*a*x*x ÷ 9) ÷ (16a*a*x*x ÷ 9) = 1/4 If you find this answer helpful then like it. correct |
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| 77847. |
7. Find the length of a rectangle, whose area is 96 sq. m and breadth is a |
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Answer» area=96length×breadth=96length×8=96length=96÷8length=12 length×breadth=96length×8=96length=12 12 centimeter length hoga 12 cm is the correct answer of the given question 12cm is the correct answer area =96length |
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| 77848. |
Worksheet 3100 apples are bought for ? 1,000. Ten apples are spoilt and have been thrown away. 5apples are sold at ? 11 each, find the percentage of gain or loss.away u theg |
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Answer» cost price of 100 apples- 1000cost price of 1 apple - 10 RSremaining apples(90)are sold at 11/ appleso SP = 990there will be loss of 10 rupeeor loss of 1 percentage |
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| 77849. |
5. The graph of which of the followingequations is parallel to the graph of4x -3y-2 ?(A) 12 +y(B) 12 -y(C) dx +y 2(D) 3N -dy 2 |
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Answer» B) 12x-9y=3 .... ... |
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| 77850. |
Example 2 Verify that the function y edy dydu dais a solution of the differential equation |
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Answer» thaknks.. |
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