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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.
| 1751. |
The sum of the reciprocals of Rehman's ages , (in years) 3 years ago and 5 years from now is 1/3 . Find his presentage . |
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| 1752. |
A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1,2, 3, ..., 8 , which are equally likely outcomes. What is the probability that the arrow will point at (i) an odd numbei ? (ii) a number greater than 3? (Hi) a number less than 9? |
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| 1753. |
The radius of a solid right circular cylinder increases by 20% and its height decreases by 20%. Find the percentage change in its volume. |
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| 1754. |
Three cosecutive vertices of a parallelogram are A(1,2) ,B(2,3)and C(8,5) . Find the fourthvertex. |
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| 1755. |
How is Tanya related to the man in the photo graph? I. Man in the photograph is the only son of Tanya's grandfather. II. The man in the photograph has no brothers or sisters and his father is Tanya's grandfather. |
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Answer» the data in statement I alone are sufficient to ANSWER the question, while the data in statement II alone are not sufficient to answer the question, |
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| 1756. |
Find the point on x-axis which is equidistant from (-2, 5) and (2, 3). |
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| 1757. |
If the nth term of the A.P. 58, 60, 62, is equal to the nth term of the A.P. -2, 5, 12………….. find the value of n. |
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| 1758. |
Find the discriminant of the equation 3x^(2)-2x+(1)/(3)=0 and hence find the nature of its roots. Find them, if they are real. |
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| 1759. |
Ifcos 7A =sin (A-6^(@)), where 7A is an acute angle ,find the value of A . |
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| 1761. |
An equilateral triangle is inscribed in a circle. If a side of the triangle is 12 cm. If a side of the triangle is 12 cm. Find the area of the circle. |
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| 1762. |
Find the Standard Deviatioin for the following Data : |
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| 1763. |
Find the number that must be subtracted from the polynomial 3y^3+ y^2 -22y + 15, so that the resulting polynomial is completely divisible by y +3. |
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| 1764. |
Statements: 1. Some papers are pens 2. Angle is a paper Conclusions: 1. Angle is not a pen 2. Angle is a pen |
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Answer» if only conclusion 1 FOLLOWS, |
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| 1765. |
Find the length of the tangents drawn from C point 10 cm away from a centre of the circle whose radii is 6 cm. |
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| 1766. |
A is a father of C and D is the son of B. E is the brother of A of C is the sister of D, how is B related to E? |
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Answer» Daughter |
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| 1767. |
Find the number of all neutral numbers between 20 and 80, which are divisible by 3. |
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| 1768. |
Angle in a semi-circle is : |
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Answer» Acute angle |
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| 1769. |
Express the following statements using symbols. The elements 'X' does not belong to 'A'. |
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| 1770. |
Find the mean from the following table using step deviation method : |
Answer» SOLUTION :  LET assumed mean a=25 Here, h=10 `:.""mean"barx=a+(sumf_(i)u_(i))/(sumf_(i))xxh=25+(13xx10)/(50)=25+2.6=27.6` |
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| 1771. |
If A=[{:(,3,1),(,-1,2):}] and I=[{:(,1,0),(,0,1):}],find A^2-5A+7I. |
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| 1772. |
Solve the following pair of equations by reducing them to a pair of linear equations : (5)/(x-1)+(1)/(y-2)=2,(6)/(x-1)-(3)/(y-2)=1. |
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| 1773. |
Name the type of quadrilateral formed, if any, by the points, and give reasons for your answer. (4, 5), (7, 6), (4, 3), (1, 2) |
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Answer» (2) A, B,C and D do not FORM a QUADRILATERAL (3)ABCD is a parallelogram |
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| 1774. |
A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball ? |
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| 1775. |
Is it possible to obtain the volume of the full cone when the volume of the frustum is known? |
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| 1777. |
A meeting was held in a central hall. Each person handshakess with everybody. If total number of handshakes were 66. Find the total numbre of persons in the meeting hall. |
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| 1778. |
Solve each of the following pairs of equations by reducing them to a pair of linear equations. (2)/(sqrt(x))+(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1 |
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| 1780. |
The straight line x+y=0, 3x+y-4=0 and x+3y-4=0 from a triangle which is |
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Answer» Isosceles |
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| 1781. |
Choose the best alternative as the answer- A song always has |
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Answer» Chorus |
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| 1782. |
A fraction becomes 8/11, if 3 is added to both the numberator and the denominator, also if 3 issubstracted from the numerator and the denominator it becomes 2/5. Find the fraction. OR 10 year hence, the age of x will be 2 times that of age of y, 10 years ago, the age of x was six times that of age of y. what are their present ages? |
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Answer» OR PRESENT AGE of `y=q=15` YEARS. |
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| 1783. |
If the hypotenuse of an isosceles right triangle is 7 sqrt2cm, find the area of the circle inscribed in it |
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Answer» Solution :LET AB = BC = x cm `:.` In right `Delta ABC`, by Pythagoras theorem `x^(2) + x^(2) = (7sqrt2)^(2)` `rArr 2x^(2) = 98 rArr x^(2) = 49 rArr x = 7 cm` `:. AR (Delta ABC) = ar(Delta AOB) + ar(DELTABOC) + ar(Delta COA)` `(1)/(2) XX x xx x = (1)/(2) xx x xx r + (1)/(2) xx 7 sqrt2 xx r` `rArr 7 xx 7 = 7 xx r + 7 xx r + 7sqrt2 xx r rArr r = (7)/(2 + sqrt2)` `rArr r = (7)/(2 + sqrt2) xx (2 - sqrt2)/(2 - sqrt2) = (7(2 - sqrt2))/(2)` `:.` Area of circle `= pi r^(2)` `= (22)/(7) xx (49(2 - sqrt2)^(2))/(4) = (77)/(2) xx (4 + 2 - 4 sqrt2)` `= 77 (3 - 2 sqrt2) cm^(2)` 
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| 1785. |
An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for fold and for stitching. Give your answer to the nearest m ^(2). |
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| 1786. |
A dice is thrown two times. Find the probability that the product of numbers of the dice is : a perfect square. |
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| 1787. |
Savita and Hamida are friends. What is the probability that both will have (i) different birth days? (ii) the same birthday? (ignoring a leap year). |
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| 1788. |
Evaluate the following (cos 45^(@))/( sec 30^(@) +cosec 60^(@)) |
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| 1789. |
Check whether the equations 2x - 3y = 5 and 4x - 6y =15 are consistent. Also verify by graphical representation. |
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| 1790. |
A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A and B' are images of A and B respectively. State whether AB' = BA' |
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| 1791. |
50 identical circular plates are placed one above the other to form a solid cylinder. For each plate, diameter = 21 cm and thickness = 15 cm. Find : (i) curved surface area of the cylinder formed. (ii) volume of the cylinder fomred. |
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| 1792. |
An aeroplane is flying above a horizontal road between the two consecutive kilometer's stones. These stones are on the opposite sides of the aeroplane. The angles of depressionof these stones from the aeroplane are 30^(@)" and "60^(@). Find the height of the aeroplane from the road. |
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| 1793. |
Draw an isosceles Delta ABC where BC = 5.5 cm and altitude AL= 3 cm. Then, construct another triangle whose sides are (3)/(4) times the corresponding sides of Delta ABC. |
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| 1794. |
An algebra textbook has a total of 1382 pages. It is broken up into two parts. The second part of the book has 64 pages more than the first part. How many pages are in each part of the book? |
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| 1795. |
The tax invoice of a telecom service in Meerut shows cost of services provided by it as Rs. 750. If the GST rate is 18%, find the amount of the bill |
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| 1796. |
A bucket is 32 cm in diameter at the top and 20 cm in diameter at the bottom. Find the capacity of bucket in litres if it is 21 cm deep. Also find the cost of tin sheet used in making the bucket at the rate of Rs 1.50 per sq dm. |
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Answer» SOLUTION :Here R=16 cm , r=10 cm and h=21 cm volume of frustum of a cone `=(pih)/(3)(R^(2)+r^(2)+Rr)` `=(22)/(7)xx(1)/(3)xx21(16^(2)+10^(2)xx10)` `=22xx516xx=11352 cm^(3)=(11352)/(1000)`litres=11.352 litres Now for slant height l of furstum `l^(2)=h^(2)+(R-r)^(2)` `l^(2)=21^(2)+(16-10)^(2)` `l^(2)=441+36` `l^(2)=447` `l=sqrt(447)`=21.84 cm Now S.A of bucket =`pirl(R+r)+pir^(2)` `=(22)/(7)xx21.84xx(16+10)+(22)/(7)xx10^(2)` `=(22)/(7)(21.84xx26+100)` `=(22)/(7)xx667.84=2098.9+2 cm^(2)=20.99 dm^(2)` Cost of sheet @ 1.50 PER sq dm. =`20.99xx1.50` =Rs 31.49 
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| 1797. |
From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@). Determine the height of the tower. |
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| 1798. |
In trapezium ABCD, AB || DC.E and F are points on non-parallel sides AD and BC respectively such that EF || AB.Show that(AE)/(ED) = (BF)/(FC) |
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| 1799. |
Sides of triangles are given in options, which of them is a right triangle ? |
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Answer» 3 CM, 8 cm, 6 cm |
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| 1800. |
Draw a circle of radius 3.5 cm. Draw the tangents to the circle perpendicular to each other. |
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