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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.
| 651. |
Check whether the following equations are consistent or inconsistent. Solve them graphically. (f) x + y = 5 2x + 2y = 10 |
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| 652. |
A circus tent is cylindrical upto a height of 3.3 m and conical above it. If the diameter of the base is 100 m and slant height of the conical part is 56.4 m, find total canvas used in making the tent. If the cost of canvas is Rs. 8 per m^(2), find the cost of making the tent. |
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| 653. |
If the radius of a sphere is increased by 20%, by what percent does its volume increase? |
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| 654. |
Solve the following pair of linear equations graphically :2x+3y=12, 2y-1=x determine the co-ordinates of the vertices of the triangle formed by the lines represented by these equations with the x-axis. |
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| 655. |
If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0(a_(1))/(a_(2)) =(b_(1))/(b_(2))=(c_(1))/(c_(2)) then which of the following is true? |
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Answer» INTERSECTING LINES |
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| 656. |
Find the values of a and b if lim_(xto2)f(x) and lim_(xto4)f(x) exists where f(x)={: (x^(2)+ax+b", "0lexlt2),(3x+2", "2lexle4),(2ax+5b", "4ltxlt8):} |
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| 657. |
If PALAM could be given the code number 43, what code number can be given to SANTA-CRUZ? |
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Answer» 75 So PALAM= `16+1 +12+1+13=43` `:.` SANTACRUZ `=19 + 1 + 14 + 20 +1 +3 + 18+ 21 + 26= 123` |
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| 659. |
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term. |
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| 660. |
Find K if the difference fo roots of the quadratic equation x ^(2) - 5x + (3k -3) =0 is 11. |
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| 661. |
A certain number of metallic cones, each of radius 2 cm and height 3 cm, are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used. |
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| 663. |
(i) P, Q, R, S, T and U are travelling in a bus. (ii) There are two reporters, two technicians, one photographer and one writer in the group.(iii) The photographer P is married to S who is a reporter.(iv) The writer is married to Q who is of the same profession as that of U. (v) There are two married couples and nobody in the group has same profession.(vi) U is brother of R. Which of the following is a pair of husbands? |
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Answer» <P>PQ P is married to S. So, one couple is PS. The other couple is RQ. S is a reporter. The writer is married to Q. So, R is the writer. Now P, Q, R, S have different professions. So, Q is a technician and thus U is also a technician. U is the BROTHER of R. We know the professions of P, Q, R, S and U. Only T remains. Since there are two REPORTERS in the GROUP, so T is also a reporter. The sex of P, Q, R, S is not given, the pair of husbands cannot be determined. |
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| 664. |
If the volume and the base area of a right circular cone are 48picm^(3) and 12picm^(2) respectively, then the height of the cone is equal to …………. . |
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Answer» 6cm |
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| 665. |
(i) P, Q, R, S, T and U are travelling in a bus. (ii) There are two reporters, two technicians, one photographer and one writer in the group.(iii) The photographer P is married to S who is a reporter.(iv) The writer is married to Q who is of the same profession as that of U. (v) There are two married couples and nobody in the group has same profession.(vi) U is brother of R. Which of the following is a pair of technicians? |
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Answer» RS P is MARRIED to S. So, one couple is PS. The other couple is RQ. S is a reporter. The writer is married to Q. So, R is the writer. Now P, Q, R, S have different professions. So, Q is a technician and thus U is ALSO a technician. U is the brother of R. We know the professions of P, Q, R, S and U. Only T REMAINS. Since there are two reporters in the group, so T is also a reporter. Q and U are technicians. |
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| 666. |
(i) P, Q, R, S, T and U are travelling in a bus. (ii) There are two reporters, two technicians, one photographer and one writer in the group.(iii) The photographer P is married to S who is a reporter.(iv) The writer is married to Q who is of the same profession as that of U. (v) There are two married couples and nobody in the group has same profession.(vi) U is brother of R. Which of the following is a pair of reporters? |
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Answer» PQ P is married to S. So, ONE couple is PS. The other couple is RQ. S is a reporter. The writer is married to Q. So, R is the writer. Now P, Q, R, S have DIFFERENT professions. So, Q is a TECHNICIAN and thus U is also a technician. U is the brother of R. We know the professions of P, Q, R, S and U. Only T REMAINS. Since there are two reporters in the group, so T is also a reporter. S and T are reporters |
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| 667. |
(i) P, Q, R, S, T and U are travelling in a bus. (ii) There are two reporters, two technicians, one photographer and one writer in the group.(iii) The photographer P is married to S who is a reporter.(iv) The writer is married to Q who is of the same profession as that of U. (v) There are two married couples and nobody in the group has same profession.(vi) U is brother of R. Which of the following pair is a couple? |
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Answer» PQ P is married to S. So, ONE couple is PS. The other couple is RQ. S is a reporter. The writer is married to Q. So, R is the writer. Now P, Q, R, S have DIFFERENT professions. So, Q is a technician and thus U is also a technician. U is the BROTHER of R. We KNOW the professions of P, Q, R, S and U. Only T remains. Since there are two REPORTERS in the group, so T is also a reporter. PS and QR are two couples. |
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| 668. |
(i) P, Q, R, S, T and U are travelling in a bus. (ii) There are two reporters, two technicians, one photographer and one writer in the group.(iii) The photographer P is married to S who is a reporter.(iv) The writer is married to Q who is of the same profession as that of U. (v) There are two married couples and nobody in the group has same profession.(vi) U is brother of R. HowisR relatedto U? |
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Answer» Brother P is MARRIED to S. So, one couple is PS. The other couple is RQ. S is a reporter. The writer is married to Q. So, R is the writer. Now P, Q, R, S have different professions. So, Q is a technician and thus U is also a technician. U is the brother of R. We know the professions of P, Q, R, S and U. Only T remains. Since there are two reporters in the group, so T is also a reporter. Since the sex of R is not given, so R may be the brother or sister of U. |
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| 669. |
Attempt this question on graph paper. Write down : the measure of angle ABB' |
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| 670. |
When comparing two data, the data with……..coefficient of variation is inconsistent. |
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| 671. |
The sum of first 14 terms of an AP is 1050 and its 14th terms 140. Find the 20th term. |
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| 672. |
Which of the following diagrams correclty represents Elephants,Wolves ,Animals? |
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| 673. |
Find the roots of the quadratic equations by factorisation: x-(3)/(x)=2 (x ne 0) |
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| 674. |
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Liva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/h while Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than Ria’s car in covering 400 km. Which of the following quadratic equation describe the speed of Nidhi’s car? |
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Answer» `x^(2) -5x -500=0` `(400)/(x) =(400)/(x+4)+4` `400(x+5) =400x +4x(x+5)` `2000 =4x^(2) +20x` `500=x^(2) +5x` `x^(2) +5x-500=0` Thus (c) is CORRECT OPTION. |
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| 675. |
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Liva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/h while Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than Ria’s car in covering 400 km. What will be the distance covered by Ria’s car in two hour? |
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Answer» `2(x + 5) km` Thus (a) is correct option. |
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| 676. |
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Liva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/h while Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than Ria’s car in covering 400 km. How much time took Ria to travel 400 km? |
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Answer» 20 hour TIME Taken `=(400)/(25)=16` hour |
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| 677. |
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Liva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/h while Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than Ria’s car in covering 400 km. What is the the speed of Nidhi’s car? |
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Answer» 20 km/hour `x^(2) +25x -20x -500=0` `x(x+25)-20(x+25)=0` `(x+25) (x-20)=0` `x=20, -25` Since x =− 25 is not POSSIBLE, we get x = 20 THUS (a) is correct OPTION. |
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| 678. |
If the sum of the first n terms of an AP is 4n - n^(2), what is the 10th term and the nth term? |
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| 679. |
IF D=4, and cover =63, then BASIS=? |
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Answer» 49 `:.` COVER =`3 +15+22+5+18=63` `:.` BASIS `=2 +1 +19+9+19= 50` |
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| 680. |
What number should be added to 3x^3-5x^2+6x so that when resulting polynomial is divided by x -3. the remainder is 8? |
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| 682. |
Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m. Find the dimensions of the garden. |
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| 683. |
If TP and TQ are the two tangents to a circle with centre O. so that /_POQ = 115^@, then /_PTQ = ……….(65^@). |
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| 684. |
Two angles are complemetary. The larger angle is 3^@ less than twice the measure of the smaller angle. Find the measure of each angle. |
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| 685. |
A hollow cylinder has solid hemisphere inward at one end and on the other endĹ it is closed with a flat circular plate. The height of water is 10 cm when flat circular surface is downward. Find the level of water, when it is inverted upside down, common diameter is 7 cm and height of the cylinder is 20 cm. |
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| 686. |
If the 3^(rd) term of a G.P. is 4, find the product of its first five terms. |
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| 688. |
Draw the graph of polynomial 4x^(2) + 4x -3 by graph. |
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| 689. |
Construct a triangle BCP given BC = 5 cm, BP = 4 cm and anglePBC=45^(@). Measure and record the length of PC. |
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| 690. |
Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm. |
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| 691. |
Find the co-ordinates of a point on Y-axis which is equidistant from M(-5,-2) and N (3,4) |
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| 692. |
Construct a triangle similar to a given Delta ABC with its sides 5/3 of the corresponding sides of DeltaABC, a ray BX is drawn such that angleCBX is an acute angle and X is on the opposite side of A with respect to BC. What is the minimum no. of points to be located at equal distances on ray BX. |
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| 693. |
EF and EH the two chords of a circle with centre O intersecting at E. The diameter ED bisects the angle HEF. Show that the triangle FEH is an isosceles triangle. |
| Answer» SOLUTION :N/A | |
| 694. |
Find graphically the vertices of the triangle whose sides have the equations 2y - x = 8,5y - x = 14 and y = 2x = 1, respectively. |
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| 695. |
Check whether (5,-2),(6,4) and (7,-2) are the vertices of an isoceles triangle. |
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| 696. |
In a certain code language TAP is written as SZO, then in the same code language, FREEZE is written as |
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Answer» EQDFYG |
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| 697. |
In a certain code language NEOMAN is coded as OGRQFT, then which word will be coded as ZKCLUP? |
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Answer» YJBKTO |
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| 698. |
Find the median of the following data: 19, 25, 59, 48, 35, 31, 30, 32, 51. If 25 isreplaced by 52, what will be the new median. |
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| 699. |
DeltaABC~DeltaDEF is given then which of the following is correct. |
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| 700. |
Name two invariant points under reflection in the x-axis. |
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