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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.
| 2501. |
A student noted the number of cars passing thorugh a spot on a road for100 periods, each of 3 minutes, and summarised this in the table given below. Find the mode of the data. |
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| 2502. |
A dice is thrown once. Find the probability of getting : an odd number |
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| 2503. |
A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find the volume of the solid in terms of pi . |
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| 2504. |
If they are in G.P.Write next one terms. a,2a, 3a, 4a,...... |
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| 2505. |
Construct a tangent to a circle of radius 4cm at any point . |
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| 2506. |
In which of the following situations, does the list of numbers involved is in the form of a GP? (i) Salary of Sharmila, when her salary is 5,00,000 for the first year and expected to receive yearly increase of 10%. Number of bricks needed to make each step, if the stair case has total 30 steps, provided that bottom step needs 100 bricks and each successive step needs 2 brick less than the previous step. Perimeter of the each triangle, when the mid points of sides of an equilateral triangle whose side is 24 cm are joined to form another triangle, whose mid points in turn are joined to form still another triangle and the process continues indefinitely. |
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| 2508. |
Smt. Malhotra purchased solar panels for the taxable value of 85,000. She sold them for 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her? |
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| 2509. |
A right circular cylinder has base radius 14 cm and height 21 cm. Find its curved surface area. |
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| 2510. |
Evaluate the expression ((x-y)^(3) + (y-z)^(3) + (z-x)^(3) )/( (x-y) (y-z) + (z-x) ) in the simplest form. |
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Answer» 1 |
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| 2512. |
A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the stringwith the ground is 60^(@). Find the length of the string, assuming that is no slack in the string. OR Two solid right circular cones have same height and the radii of bases aer r_(1) and r_(2). Both the cones aer metled and recasted to form a cylinder of same height. Show that the radius of the base of the cylinder is sqrt((r_(1)^(2)+r_(2)^(2))/(3)) |
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Answer» OR `R=sqrt((r_(1)^(2)+r_(2)^(2))/(3))` |
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| 2513. |
Statements: 1. All pens are roads. 2. All roads are houses. Conclusions: 1. All houses are pens. 2. Some houses are pens. |
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Answer» If only CONCLUSION I FOLLOWS, 
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| 2514. |
A and B are brother.C and D are sisters. A's son is D's brother.How is B related to C? |
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Answer» Father |
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| 2515. |
How many maximum squares are in the following figure ? |
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Answer» 9 |
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| 2516. |
Find the roots of the following equations : x-1/x=3,x ne0 |
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| 2517. |
Statements: 1. All Jungles are tigers. 2. Some tigers are horses. Conclusions: 1. Some horses are jungles. 2. No horse is jungle. |
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Answer» Solution :From STATEMENTS 1 and 2, two POSSIBLE sets of Venn-diagrams exist. (i) I, II, III and (ii) I, II, IV. `therefore ` Either conclusion 1 follows or conclusion 2 follows. 
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| 2518. |
Find the sum of first 20 terms of an A.P. whose first term is 3 and the last term is 57. |
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| 2519. |
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl. |
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| 2520. |
Using the Remainder theorem, factorise the expression 2x^(3)+x^(2)-2x-1 completely. |
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| 2521. |
How many squares does the following figures contain ? |
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Answer» 18 |
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| 2522. |
Is it right to say that cos ( 60^(@) + 30 ^(@) ) = cos 60^(@) cos 30 ^(@) -sin 60^(@) sin 30 ^(@) |
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| 2523. |
Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive. |
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| 2524. |
Two cubes each of volume 8 cm^(3) are joined end to end, then the total surface area of the resulting cuboid is ......... cm^(2) ? |
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| 2525. |
Find the co-ordinates of the points of trisection of the line segment joining the points A(-5, 6) and B (4, -3). |
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Answer» Solution :Let P and Q be the points of TRISECTION of AB, then P divides AB in the RATIO 1 : 2. `THEREFORE` Co-ordinates of point `P-=((-5xx2+4xx1)/(1+2), (6xx2+1xx-3)/(1+2))-=(-2,3)` and point Q divides AB in the ratio 2 : 1. `therefore` Co-ordinates of point `Q-=((-5xx1+4xx2)/(2+1),(6xx1+2xx-3)/(1+2))-=(1,0)` `therefore` Co-ordinates of the point of trisection are (-2, 3) and (1, 0). |
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| 2527. |
A company with 4000 shares of nominal value of 110rs each declares an annual dividend of 15%. Calculate : (i) the total amount of dividend paid by the company. (ii) the annual income of Shah Rukh who holds 88 shares in the company ? (iii) if he received only 10% on his investment, find the price Shah Rukh paid for each share. |
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| 2528. |
The sets A-B, B-A and A cap B are mutually disjoint sets. Use examples to observe if this is true. |
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| 2530. |
The radii of two circles are R and r. The distance between their centres is d. If d=R +r, then the number of transverse common tangents that can be drawn is : |
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Answer» 4 |
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| 2531. |
Find the total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm. |
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| 2533. |
On comparing the rations (a_(1))/(a_(2)), (b_(1))/(b_(2)) and (c_(1))/(c_(2)) find out whether the lines representingthe following pair of linear equationsintersect at a point, are parallel or coincident. |
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| 2534. |
Given g(x)=2x+1, q(x)=(x^(3)+3x^(2)-x+1), r(x)=0, Find p(x) |
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| 2535. |
Two trains leave a railway station at the same time. The first train travelsdue west and the second train due north. The first train travels 5 km/hr faster than second train. If after two hours, they are 50 km apart, find the speed of each train. |
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| 2536. |
Cube : Cuboid : : ? |
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Answer» OVAL : SPHERE |
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| 2537. |
P and Q have co-ordinates (0, 5) and (-2, 4). P is invariant when reflected in an axis. Name the axis. |
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| 2538. |
From the top of the cliff 150 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. The height of the tower is |
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Answer» 100 m |
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| 2539. |
A geometric series consists of four terms and has a positive common ratio. The sum of the first two terms is 9 and sum of the last two terms is 36. Find the series. |
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| 2540. |
If the total surface of a cube is 150 square meters , calculateone of its side. |
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| 2541. |
Prove that the line segment joining the points of contact of two parallel tangents to a circle is a diameter of the circle. |
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| 2542. |
…………….Number of tangents can be drawn from a point inside the circle. |
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Answer» 0 |
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| 2543. |
Which of the following are Aps? If they form an AP, find the common difference d and write the next three terms. (i) 24m8m16,….. (ii) 2,5/2, 3, 7/2,….. (iii) -1.2, -3.2, -5.2, -7.2,…….. (iv) -10,-6,-2,2,……….. (v) 3,3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2),.......... (vi) 0.2, 0.22, 0.222, 0.2222,..... (vii) 0,-4, -8,-12,.......... (viii) -1/2, -1/2, -1/2, -1/2,........... (ix) 1,3,9,27,....... (x) a,2a, 3a, 4a,....... (xi)a, a^(2), a^(3), a^(4),......... (xii) sqrt(2), sqrt(8), sqrt(18), sqrt(32),...... (xiii) sqrt(3), sqrt(6), sqrt(9), sqrt(12),............... |
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Answer» (ii) AP, next three terms =4 `,9/2, 5` (iii) AP, next three terms `=-9.2, -11.2, -13.2` (iv) AP, next three terms =6,10,14 (V) AP, next three terms `=3+4sqrt(2), 3+5sqrt(2), 3+6sqrt(2)` (vi) Not AP (vii) AP, nesxt three terms `=-16, -20, -24` (viii) AP, next three terms `=-1/2, -1/2, -1/2` (IX) Not AP (x) AP, next three term = 5a, 6a, 7a (xi) Not AP (xii) AP, next three terms `=SQRT(50), sqrt(72), sqrt(96)` (xiii) Not AP |
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| 2544. |
Find the point on the x - axis which is equidistant from (2, -5) and (-2, 9). |
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| 2545. |
Which of the following is a false statement ? |
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Answer» If the AREAS of TWO areas of two similar triangles are equal then the triangles are congruent. |
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| 2546. |
A man invests 800rs in buying 5rs shares and when they are selling at a premium of 1.15rs, he sells all the shares. Find his profit and profit percent. |
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| 2547. |
If a+b+c= 0 then the value of (a^(2) (b+ c) + b^(2) (c+a)+c^(2) ( a+ b) )/(abc) is |
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Answer» `3` |
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| 2548. |
What day is the fourteenth of a given month? I. The last day of the month is a Wednesday. II. The third Saturday of the month was seventeenth |
| Answer» Solution :From the II STATEMENT, it is clear that `17^(th)` was SATURDAY and so, `14^(th)` was Wednesday. But, I is not SUFFICIENT to deduce the same. So II alone is sufficient to answer the given QUESTION. | |
| 2549. |
P''is the image of P(3, -5) when reflected in the y-axis. Write down the co-ordinates of P'' . |
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| 2550. |
From question number 1 to 16, find zeroes of the given quadratic polynomials and verify the relation between zeroes and coefficients : a^(2)x^(2)-11a^(2)x+30a^(2)-a-1,a ne 0 |
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