InterviewSolution
Saved Bookmarks
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.
| 701. |
Find the zeros of the quadratic polynomial 2x ^(2) - 9-3x andverify the relationship between the zeros and the co-efficient. |
|
Answer» |
|
| 702. |
Two dice are rolled simultaneously. Find the probability of : getting a multiple of 2 on one dice and a multiple of 3 on the other dice. |
|
Answer» |
|
| 704. |
In the following examples , can the segment joining the given points from a triangle ? If triangle is formed , state the type of the triangle considering sides of the triangle. (ii) P(-2,-6) , Q (-4,-2) ,R(-5,0) |
|
Answer» Solution :`P(-2,-6),Q(-4,-2)` and `R(-5,0)` By distance formula, `PQ=sqrt([-4-(-2)]^(2)+[-2-(-6)]^(2))` `=sqrt((-4+2)^(2)+(-2+6)^(2))` `=sqrt((-2)^(2)+(4)^(2))` `=sqrt(4+16)` `=sqrt(20)` `=sqrt(2xx2xx5)` `=2sqrt(5)` `QR=sqrt([-5-(-4)]^(2)+[0-(-2)]^(2))` `=sqrt((-5+4)^(2)+(0+2)^(2))` `=sqrt((-1)^(2)+(2)^(2))` `=sqrt(1+4)` `=sqrt(5)` `PR=sqrt([-5-(-2)]^(2)+[0-(-6)]^(2))` `=sqrt((-5+2)^(2)+(0+6)^(2))` `=sqrt((-3)^(2)+(6)^(2))` `=sqrt(9+36)` `=sqrt(45)` `=sqrt(3xx3xx5)` `=3sqrt(5)` `PQ+QR=2sqrt(5)+sqrt(5)` `:.PQ+QR=3sqrt(5)` `:.PQ+QR=PR` `:.` points P,Q and R are collinear. `:.DeltaPQR` is not formed. The segment JOINING `P(-2,-6),Q(-4,-2)` and `R(-5,0)` does not form a triangle. |
|
| 705. |
Which letter in the word 'SELFRIGHTEOUSNESS' does not change its position when the letters are reversed? |
|
Answer» E |
|
| 706. |
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm ? |
|
Answer» |
|
| 707. |
Sum of the areas of two squares is 468m^(2). If the difference of their perimeters is 24 m, find the sides of the two squares. |
|
Answer» |
|
| 708. |
Volume of a frustum of a cone is …… |
|
Answer» `(PIH)/3(R^(2)+r^(2)+R.r)` |
|
| 709. |
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP. |
|
Answer» |
|
| 710. |
Find the value of (^(8)C_(0))/(6)-^(8)C_(1)+^(8)C_(2)xx6-^(8)C_(3)xx6^(2)+…….+^(8)C_(8)6^(7) |
|
Answer» |
|
| 711. |
A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm. How many containers are necessary to empty the bowl? |
|
Answer» |
|
| 712. |
How many terms of the series 18 + 15 + 12 +…………... when added together will give 45 ? |
|
Answer» |
|
| 713. |
If A=[{:(,1,2),(,3,4):}], B=[{:(,6,1),(,1,1):}] and C=[{:(,-2,-3),(,0,1):}]. Find each of the following and state if they are equal: (i) CA+B (ii) A+CB |
|
Answer» |
|
| 714. |
ABCD is a trapezium in which AB||DC and its diagonals intersect each other as the point O. Show that (AO)/(BO) = (CO)/(DO). |
|
Answer» |
|
| 715. |
Represent the number sqrt(5) ona number line. |
|
Answer» |
|
| 717. |
ABC is a right-angled triangle with the right angle at vertex B. BD is the altitude through B.given BD=12cm and AD=9cm.Name the triangles which are similar to triangle ADB (Proof not required). |
|
Answer» |
|
| 718. |
ABC is a right-angled triangle with the right angle at vertex B. BD is the altitude through B. Given BD = 12 cm and AD = 9 cm. Calculate AB . |
|
Answer» |
|
| 719. |
Write the equations in two variables required to solve the problem. Sum of ages of mother and her daughter is 60 years. After 15 years, mother's age at that time. Find their present ages. |
|
Answer» |
|
| 720. |
ABC is a right-angled triangle with the right angle at vertex B. BD is the altitude through B. Given BD = 12 cm and AD = 9 cm. Find AC. |
|
Answer» |
|
| 721. |
What number should be subtracted from x^3 + 3x^2 - 8x + 14so that on dividing it by x -2, the remainder is 10? |
|
Answer» |
|
| 722. |
Find the co-ordinates of the point Q on x-axis which lies on the perpendicular bisector of the line segment joining the points A(-5.-2) and B(4.-2). Name the type of the triangle QAB. |
|
Answer» |
|
| 723. |
Prove that :(cos ^(2) A + tan ^(2) A - 1 )/( sin ^(2) A )= tan ^(2) A . |
|
Answer» |
|
| 724. |
Find the 9th term of the arithmetic progression 1, 3.5, 6, 8.5, ......... |
| Answer» | |
| 725. |
Rekha opened a recurring deposite account for 20 months. The rate of interest is 9% per annum and Rekha receives Rs 441 as interest at the time of maturity. Find the amount Rekha deposited each month. |
|
Answer» |
|
| 726. |
Let A={x : x is a natural number}, B ={x : x is an even natural number} C={x : x is an odd natural number and D={x : x is a prime number} Find A cap B, A cap C, A cap D, B cap C, B cap D and C cap D. |
|
Answer» `A cap C`= {odd natural numbers} `A cap D={4,6,8,12,....10}` `B cap C=phi` `B cap D=` {even natural number} `C cap D`={3,5,7,11,....} |
|
| 727. |
Determine the arithmetic progression whose 3rd term is 5 and 7th term is 9. |
|
Answer» |
|
| 728. |
ABCD is a cyclic quadrilateral of a circle with centre O such that AB is a diameter of this circle and the length of the chord CD is equal to the radius of the circle. If AD and BCproduced meet at P, show that APB = 60^(@). |
|
Answer» |
|
| 729. |
If sqrt(3)sintheta-costheta=0" then "3tantheta-tan^(3)theta is: |
|
Answer» 1 |
|
| 731. |
Write equation of line MN parallel to Y-axis and 6 units left of Y-axis. |
|
Answer» |
|
| 732. |
In 205 a term of the sequence 8,12,16,20,….? |
|
Answer» |
|
| 733. |
M and N are two points on the X-axis and Y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2:3. Find : slope of the line MN. |
|
Answer» |
|
| 734. |
Draw a line segment of length 6 cm. Find a point P on it which divides it in the ratio 3 : 4. |
|
Answer» |
|
| 735. |
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere. |
|
Answer» |
|
| 736. |
The sum of the 4th term and the 8th term of an A.P is 24 and the sum of the 6th term and the 10th term is 44. Find the first three terms of the A.P. |
|
Answer» |
|
| 737. |
Solve the following quadratic equations by factorisation : (i) 4-11x=3x^(2) (ii) x^(2)-(11)/(4)x+(15)/(8)=0 |
|
Answer» SOLUTION :(i) Given EQUATION is `4-11x=3x^(2)` `implies3x^(2)+11x-4=0` `implies3x^(2)+(12-1)X-4=0` `implies3x^(2)+12x-x-4=0` `implies3x(x+4)-1(x+4)=0` `IMPLIES(3x-1)(x+4)=0` `implies3x-1=0orx+4=0` when `3x-1=0impliesx=(1)/(3)` and `x+4=0impliesx=-4` Hence, `(1)/(3)and-4` are roots of equation. (ii) Given equation is `x^(2)-(11)/(4)x+(15)/(8)=0` Multiplying both sides by 8, we get `8x^(2)-22x+15=0` `implies8x^(2)-(12+10)x+15=0` `implies8x^(2)-12-10x+15=0` `implies4x(2x-3)-5(2x-3)=0` `implies(2x-3)(4x-5)=0` :. either `2x-3=0or4x-5=0` `implies2x=3or4x=5` `impliesx=(3)/(2)orx=(5)/(4)` Hence, `(3)/(2)and(5)/(4)` are the roots of given equation. |
|
| 738. |
Probability of getting 3 heads or 3 tails in tossing a coin 3 times is: |
|
Answer» `1/8` |
|
| 739. |
A farmer connects a pipeof internal diameter 20 cm from a canal into a cylindrical tank in her field whichis 10 m in diameter and 2 m deep. Ifwater flows through the pipe at the rate of 3 km// h, in how much time will the tank be filled ? |
|
Answer» |
|
| 740. |
Check whether the following equations are consistent or inconsistent. Solve them graphically. (e) (4)/(3) x + 2y = 8 2x + 3y = 12 |
|
Answer» |
|
| 741. |
Construct an isosceles triangle whose base is 6cm and altitude 4 cm. Then construct another triangle whose sides are (3)/(4) times the corresponding sides of the first triangle. |
|
Answer» Solution :Steps of construction : 1. Draw a line segment BC=6 cm . 2. Draw perpendicular bisector of BC. 3. From mid- point D of BC on perpendicular bisector MARK DA=4 cm, join AB and AC. 4. Below BC make an acute angle `angleCBZ`. 5. Along BZ mark off four points `B_(1),(B)_(2),B_(3) and B_(4)` such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)=B_(3)B_(4)`. 6. Join `B_(4)C`. 7. From `B_(3)` draw `B_(3)E` parallel to `B(4)C` meeting BC at E. 8. From E draw EF||CA meeting BA at F. Then, `DeltaFBE` is the required TRIANGLE. 
|
|
| 742. |
For system of linear equations with three variables the minimum number of equations required to get unique solution is …… |
|
Answer» |
|
| 743. |
How much money will be required to buy 250,15rs shares at a discount of 1.50rs ? |
|
Answer» |
|
| 744. |
Divide 3x^(2)-x^(3)-3x+5 by x-1-x^(2), and verify the division algorithm. |
|
Answer» |
|
| 745. |
Find the solution set of the equation 3x^(2)-8x-3=0, when : (i) xepsilonZ( "integers" ) (ii) xepsilonQ( "rational numbers" ). |
|
Answer» (II) `{3, -(1)/(3)}` |
|
| 746. |
An A.P. consists of 57 terms of which 7th term is 13 and the last term is 108. Find the 45th term of this A.P. |
|
Answer» |
|
| 747. |
Fill in the blank. The line intersecting the circle in two points is called .............. . |
|
Answer» |
|
| 748. |
Find the unknown values in each of the following figures . All lengthaar given in centimeters. (All measures are not in scale ) |
|
Answer» |
|
| 749. |
A bag has 8 balls numbered 1 to 8. if 2 balls are picked at random, find the probability of the two balls picked being 2 and 3. |
|
Answer» |
|
| 750. |
If A(20,10),B(0,20) are given find the coordinate of the point which divide segment AB into two congruent parts. |
| Answer» | |