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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.
| 951. |
Verify whether the following are zeroes of the polynomial, indicated against them : p(x) = (x+1)(x-2), x = -1, 2 |
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| 952. |
In triangleABC and trianglePQR, AB = PQ, angleA = angleP and angleB = angleQ. If angleA + angleC = 130^(@), then angleQ = .......... |
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Answer» `65^(@)` |
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| 954. |
Find the value of the polynomial 4x ^(2) - 5x +3, at (i) x =0 (ii) x =-1 (iii)x =2 (iv) x = 1/2 |
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Answer» (II) 12 (iii) 9 (iv) `3/2` |
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| 955. |
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be multiplied by 3. |
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| 956. |
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be divided by 2. |
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| 957. |
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be multiplied by 3 and then divided by 2. |
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| 958. |
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be increased by 25%. |
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| 959. |
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be decreased by 40%. |
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| 960. |
Mark two points P and Q. Draw a line through P and Q. Now how many lines are parallel to PQ, can you draw? |
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| 961. |
A die is thrown 1000 times with the frequencies for the outcomes 1,2,3,4,5 and 6 as given in the following table : {:("Outcome" 1,2,3,4,5,6),("Frequency",179,150,157,149,175,190):} Find the probability getting each outcome. |
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| 962. |
Find the cost of digging a cuboidal pit 8 m long, 6 mbroad and 3 m deep at the rate ofR s\ 30\ p e r\ m^3. |
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| 963. |
If the interest is compounded half-yearly, calculate the amount when principal is Rs 7,400, the rate of interest is 5% per annum and the duration is one year. |
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| 964. |
Which of the following is an appropriate flowchart to find the greatest number between the two numbers A and B? |
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| 966. |
There are two scales of measuring the temperature, namely degree Fahrenheit (.^(@)F) and degree Celsius (.^(@)C). The relation between the two scales is given by, F=9/5C+32. (i) If the temperature is 0^(@) C, what is the temperature in Fahrenheit? (ii) If the temperatureis 50^(a) C, What is the temperature in Fahrenheit ? (iii) If the temperature is 50^(@)C, what is the temperature in Fahrenheit ? (iii) If the temperature is 86^(@)F, what is the temperature in Celsius ? (iv) If the temperature is 0^(@)F, what is the temperature in Celsius ? (v) Find the numerical value of the temperature which is the same in both the scales. (vi) Draw the graph of the linear equation F= 9/5C + 32, taking C along the x-axis and F along the y-axis. (vii) Using the graph, fill in the blanks given below: -5^(@)C=(......)^(@)F and 14 ^ (@) F = (......) ^(@) C. |
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Answer» Solution :The given relation is `F=9/5 C+ 32.""` …(A) Putting C= 0 in (A), we get `F=(9/5 xx0)+32 = (0+32) = 32.` `:. C=0 rArrF=32.` Hence, `0^(@)C= 32^(@) F.` (ii) Putting C=50 in(A) , we get `F=(9/5 xx 50) + 32 = (90 +32)=122.` `:. C= 50 rArr F = 122.` Hence, `50^(@) C= 122^(@)F.` (iii) Putting F= 86 in(A) , we get `9/5C+32 = 86 rArr 9/5 C = ( 86-32) = 54` `rArr C = ( 54 xx 5/9) = 30.` `:. F= 86 rArr C= 30.` Hence, `86 ^(@)F = 30^(@)C.` (iv) Putting F= 0 in (A) , we get `9/5 C+ 32 = 0rArr 9/5 C = -32` `rArr C=(-32 xx 5/9)= -160/9 = -17.8.` `:. F=0 rArr C = - 17.8.` Hence, `0^(@)F = - 17. 8 ^(@) C.` (v) Let C= F. Then, (A) becomes `F=9/5 F + 32 rArr ( 9/5 - 1) F = -32` `rArr 4/5 F = -32 rArr F = (-32 xx 5/4) = -40.` `:. C = F= -40.` Hence, `-40^(@)C = -40^(@) F.` (vi) We have, `F=9/5 C + 32.""` ...(A) Putting C= 0 in (A), we get `F=(9/5 xx0) + 32 = ( 0+ 32) = 32.` Putting C=10 in (A) , we get `F=(9/5 xx 10) + 32 = ( 18+ 32) = 50.` Putting C= 20 in (A), we get `F= (9/5 xx 20 ) + 32 = ( 36 +32) = 68.` Thus, we have the following table. `{:(C,0,10,20),(F,32,50,68):}` On agraph paper, we take C along the x-axis and the corresponding values of F along the y- axis. We plot the points `A(0,32),B(10,50) and C(20,68)` on this graph paper. Now, we join the points A, B, and B, C to get a line ABC, which we extend in both the direction to get the required graph of the givenequation, as shown below.  (vii) On the x-axis, we take a point P at which C=-5. From P, draw `PD bot X'OX`, meeting the line ABC at a point `D(-5,23).` `:. -5^(@)C=23^(@)F.` On the y-axis, take a point Q at which F= 14. From Q draw Q||x-axis, meeting the line ABCD at the point `E(-10, 14).` Hence, `14^(@)F = -10 ^(@) C.` |
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| 967. |
A proof is required for ……….. (Postulate, Axioms, Theorem). Choose the correct word. |
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| 968. |
Without actually calculating the cubes, find the value of each of the following : (-12)^(3) + (7)^(3) + (5)^(3) |
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| 969. |
Pipes A,B and C are fitted to a tank .Each of A and B and can fill a tank in 9 hours. C is an emptying pipe which can empty it in 12 hours. It is fitted aton-third the height of the tankabove the in which the tank will be filled(in hours). |
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Answer» 5 Time in which it will be FILLED `((3)(3))/(3+3)"hours"=(3)/(2) "hours"=1(1)/(2)` hours Part of the top two-thrid of the tank which A,B anc C can fill each HOUR `=(1)/((2)/(3))((1)/(9)+(1)/(9)+(1)/(12))=(1)/(6)+(1)/(6)-(1)/(8)=(5)/(24)` `:.` Time in which it will be fileld `=(24)/(5)` hours. Total time in which the tank will be filed `=(3)/(2)+(24)/(5)=6.3` hours. |
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| 970. |
At a traffic light on 28th April ,out of 310 vehicles crossed the light ,200 were cars, 60 were two wheelers & not 50 were autos. 18 were find for jumping the red light or not wearing of bell or helment , 5 were fined for using car with odd number , four were left after giving warningof belt or hement , 5 were fined four using car with odd number, four were left after giving warning . What is the pobability that . A car is chosen & it bears even nunber . |
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| 971. |
Execute a flowchart to find the product of first 100 even number |
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| 972. |
The mean of first five odd natural numbers is ........... |
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Answer» 3 |
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| 973. |
If x = 5 and y = 4 is one of the solutions of equation 4x - ky = 10 . Find the value of k. |
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| 974. |
If x =2 and y=1 is a solution of the equation 2x+3y=k, find the value of k. |
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| 975. |
D and E are the mid-points of the sides PR and QR of the DeltaPQR. If angleEDR=75^@ and angleDRE=35^@, then find anglePQR. |
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| 976. |
If Lokesh's investment was Rs.4800 more, his annual income would be Rs.240 more. Find the rate of return. |
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Answer» `4.5%` `therefore240=(r)/(100)(4800)` `THEREFORE r=5%` |
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| 977. |
A company sellstwo types of shares A and B. The market value of A is 50% more than that of B and is 25% less than the face value of A. The market value of A and face value of B are equal. By what percentage is the sum of the face values of both more than the sum of the market values of both? |
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Answer» `30%` (ii) Let the MV of each SHARE of type B be Rs.x. (iii) Now, MV of each share of type A be `150%` of x. (iv) FV of each share of type B = MV of each share of type A. (V) Similarly find FV of each share of type A. |
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| 978. |
The probability of a month of January having 5 Sundays is .......... |
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Answer» `2/7` |
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| 980. |
If x = (3 - 2 sqrt(2)), show that (sqrt(x) - (1)/(sqrt(x))) = +- 2 |
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| 981. |
Construct a DeltaABC in which AB = 4 cm, AC = 5 cm and the altitude from A to BC is 2.5 cm. |
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Answer» Solution :Steps of construction : 1. Draw a line `PQ` and take a POINT `D` on it. 2. Draw `angleADB = 90^(@)` and CUT `DA = 2.5 cm.` 3. With centre `A` and radius `4 cm,` draw an arc which CUTS `PQ` at `B.` Join `AB`. 4. With Centre `A` and radius `5 cm,` draw ANOTHER arc which cuts `PQ` at `C.` Join `AC.`  `therefore DELTAABC` is the required triangle. |
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| 982. |
In a businessP,Q and R are threepartners . Thrice P's investment is equal to twice Q's investments and R's investment is equalto twice P's investment Q's period of investment is (4)/(3)times P's period of investment and is twice R's periodof investment .Ifthe totalprofitat the endof theyearis Rs 52,000, Findthe sum of thesharesof P and Q in theprofit . (in Rs) |
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Answer» 32000 (ii) LET P's investement be Rsx (III) Nowfind investments of Q and R in TERMS of x withthe givendata. (iv) Letthe timeperiodof investment of R by Y months (v) Now findtime periods of investment of P and Q (iv) Ratio of shares of profits is equalto theratio of PRODUCT of investments and investment periods |
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| 983. |
Find the mean of x+3,x+5,x+7,x+9 and x+11. |
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| 984. |
For rational numbers (i) state the associative law on addition, By choosing and three rational numbers prove the law. (ii) State the associative law on multiplication . By choosing any three rational numbers prove the law. |
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| 985. |
A hemispherical bowl is made of brass .0.25 cm. thickness .The inner radius of the bowl is 5cm. Find the ratio of outer surface area to inner surface area. |
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| 986. |
A is of the same age as B and C is of the same age as B Euclid 's which axiom illustrates the relative ages of A and C? |
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Answer» FIRST AXIOM First axiom STATES that the things which are equal to the same things are equal to one ANOTHER |
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| 987. |
In the following equations, find whether variables x, y, z etc. represent rational or irrational numbers y^(2)=(17)/(4) |
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| 988. |
If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k. |
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| 989. |
Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it. |
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Answer» on X axis =1 cm =10 number of STUDENTS `(##NCERT_GUJ_MAT_IX_C09_E01_006_A01##)` |
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| 991. |
Ravi opened a saving bank account with a bank on 1-2-2006 Find the sum of the eligible monthly balances for which interest is calculatedat the end of december? |
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Answer» RS 95000 |
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| 992. |
The ratio of the base radius and height of a cone is 5 : 12. Its volume is 314 m^(3). Find its radius, height and slant height. Given that pi = 3.14. |
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| 993. |
The mean of 100 observations is 40. It is found that an observation 53 was misread as 83. Find the correct mean. |
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| 994. |
What are the possible polynomial expressions for the dimensions of the cuboids whose volumes are given below ? (i) 3x ^(2) -12x (ii) 12 y ^(2) + 8y -20. |
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| 995. |
Evaluate each of the following using proper identity : (98)^(2) |
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| 997. |
Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if property does not holds. |
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| 998. |
The mid-value of a class-interval of a continuous frequency distribution is 42 and its class-length is 10.Find the lower and upper class-limits of the class-intervals. |
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| 999. |
The volume of a right circular cone is 9856 c m^3. Ifthe diameter of the base is 28cm, find:(i)height of the cone (ii) slant height of the cone(iii)curved surface area of thecone. |
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Answer» (II) 50 cm (iii) 2200 `cm^(2)` |
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| 1000. |
The paint in a certaincontainer is sufficient to paint an area equal to 9. 375"\ "m^2. How many bricks of dimensions 22. 5"\ "c m"\ "xx"\ "10"\ "c m"\ "xx"\ "7. 5"\ "c mcan be painted out of this container?(i) Which box has the greater lateral |
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