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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.
401. |
Findtheta , " if "sin 5 theta = cos 4 theta:where5 theta and 4 thetaare acuteangles. |
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402. |
Formulate the following problems as a pair of equations and then find their solutions. iii. 2 women and 5 men can together finish an embroidery work in 4 day while 3 women and 6 men can finish it in 3 days. Find the time to be taken by 1 woman alone and 1 man alone to finish the work. |
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403. |
Using remainder theorem, factorise :x^(3) + 7x^(2)- 21 x - 27Completelyand then solvex^(3) + 7x^(2) - 21 x - 27=0 |
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404. |
Select from the given diagrams,the one that illustrates the relationship among the given three classes: Judge,Thief ,Criminal. |
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405. |
A man sold 400 (20rs) shares of a company, paying 5% at 18rs and invested the proceeds in (10rs) shares of another company paying 7% at 12rs. How many (10rs) shares did he buy and what was the change in his income ? |
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406. |
A cylindrical water tank of diameter 2.8 m and height 4.2 m is being fed by a pipe of diameter 7 cm through which water flows at the rate of 4 m s^(-1). Calculate, in minutes, the time it takes to fill the tank |
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407. |
Kings Hardware' supplied of 26432 (with GST) to a company. Rate of SGST on printer is 9%. Find the following amounts as shown in the tax invoice of 'Kings Hardware'. i. Rate of CGST ii. Rate of GST iii. Taxable value of printer iv. Total amount of GST v. Amounts of SGST and CGST. |
Answer» (III) 22,400(iv) 4032 (V) CGST=SGST=2016 |
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408. |
AB and CD are respectively arcs to two concentric circles of radii 21cm and 7cm with centre O ( See figure), If /_AOB=30^(@), find the area of the shaded region. (usepi=(22)/(7)) |
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409. |
Try for three pairs of consecutive odd numbers and conclude your answer. |
Answer» (b)16, 63, 65 (C ) 20, 99, 101 |
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410. |
Solve : (2x-3)^(2)=25. |
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411. |
If the points (-4,0) and (4,8) are equidistant from point (0,k) , find the value of k . |
Answer» Answer :C | |
412. |
Solve each of the following equations by using the formula : (i) 5x^(2)-2x-3=0 (ii) x^(2)=18x-77 |
Answer» (ii) `11` or `7` , (iii) `-(2sqrt(3))/(3)`, or `-3sqrt(3)` |
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413. |
Sides of two similar triangle are in the ratio 2:3 Areas of these triangles are in the ratio : |
Answer» `SQRT2:SQRT3` |
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414. |
If the standard deviation for the marks obtained by a student in monthly tests is 36 then the variance is |
Answer» 6 |
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415. |
Length of a side of a cube is 7cm,find its diagonal length. |
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416. |
A motor boat whose speed is 18km/h in still water. It takes 1 hour more to go 24km upstream than to return downstream to the same spot. Find the speed of the stream. |
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417. |
Mr.Parkeh invested 52000 on 100rs shares at a discount of 20rs paying 8% dividend. At the end of one year he sells the shares at a premium of 20rs. Find (i) the annual dividend (ii) the profit earned including his dividend |
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418. |
The maturity value of a recurring deposit account is Rs 42,400. If the account is held for 2 years and the rate of interest is 10% per annum, find the amount of each monthly instalment. |
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419. |
Construct a cyclic quadrilateral ABCD in which AB=4.2 cm, BC=5.5 cm, CA=4.6 cm and AD=3 cm. Also construct a quadrilatral similar to squareABCD whose side are 1.5 times the corresponding sides of squareABCD. |
Answer» Solution :Steps of construction : 1. Draw a line segment AB=4.2 cm. 2. With centre A and radius equals to 4.6 cm, draw an arc. 3. With centre B and radius equals to 5.5 cm, draw another arc cutting the previous arc at C. 4. Join AC and BC. 5. Draw the perpendicular bisectors of any two sides say AB and BC respectively of `DeltaABC`. LET they intersect each other at O. 6. Taking O as centre and radius as OA or OB or OC, draw a CIRCLE. This is the circumcircle of `DeltaABC`. 7. With centre A and radius equals to 3 cm, cut an arc on the opposite side of B, to cut the circle at D. 8. Join AD and CD. Then, `squareABCD` is the required CYCLIC QUADRILATERAL. 9. Produce AC to C' such that AC'`=1.5xxAC` i.e., `(1+(1)/(2)) AC implies AC +(1)/(2)xx4.6` i.e., 2.3 cm more. 10. From C', draw a line parallel to CD which meets AD produced at D'. 11. From C', draw a line parallel to CB which meets AB produced at B'. Then `, squareAB'C'D'` is the required quadrilateral similar to cyclic quadrilateral ABCD. ![]() |
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420. |
Solve each of the following pairs of equations by reducing them to a pair of linear equations. (5)/(x+y)-(2)/(x-y)=-1 and (15)/(x+y)+(7)/(x-y)=10 where x ne 0,y ne0. |
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421. |
A fraction will be equal to 4/5 if is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator, the fraction will be equal to 1/2. What is the fraction? |
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422. |
A die is thrown once. Find the probability of getting an odd number. |
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423. |
3x^(2)-x^(3)-3x+5, find coefficient of x^2,x^1,x^0. |
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424. |
A cylindrical vessel of height 24 cm and diamater 40 cm is full of water. Find the exact number of small cylindrical bottles, each of height 10 cm and diameter 8 cm, which can be filled with this water. |
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425. |
Which of the following pairs of linear equations are consistent/inconsistent ? If consistent, obtain the solution graphically :2x+y-6=0, 4x-2y-4=0 |
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426. |
Which of the following pairs of linear equations are consistent/inconsistent ? If consistent, obtain the solution graphically :2x-2y-2=0, 4x-4y-5=0 |
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427. |
Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically. x+y=5, 2x+2y=10 |
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428. |
Which of the following pairs of linear equations are consistent/inconsistent ? If consistent, obtain the solution graphically :x-y=8, 3x-3y=16 |
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429. |
A boat travels for 7 hours. If it travels 4 hours downstream and 3 hours upstream than it covers the distance of 116 km. But if it travels 3 hours downstream and 4 hours upstream, it covers a distance of 108 km. Find the speed of a boat. |
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431. |
Find which of the following is a G.P. : 2,2sqrt(2),4,4sqrt(2), . . . . . . . . . . . . . |
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432. |
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z In this type of question, usually five groups of letters are given. Four of them are similar to each other in same manner and one is different. Which is the one ? Choose the group of letters which is different from others. |
Answer» CZHK |
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433. |
A buoy is made in the form of hemisphere surmounted by a right cone whose circular base coincides with the plane surface of hemisphere. The radius of the base of the cone is 3.5 metres and its volume is two-third of the hemisphere. Calculate the height of the cone and the surface area of the buoy, correct to two places of decimal. |
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434. |
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is 14 mm and the thickness is 5 mm. Find its surface area. |
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435. |
Find the sum of the first n terms of the series 0.4 + 0.94 + 0.994 + . . . . |
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436. |
Draw a circle of radius 2 cm with centre O and take a point P outside the circle such that OP = 4.5 cm. From P, draw two tangents to the circle. Given below are the steps of constructing the tangents from P. Find which of the following steps is wrong. Step 1: Draw a circle with O as centre and radius 2 cm. Step 2: Mark a point P outside the circle such that OP = 4.5 cm. Step 3: Join OP and bisect it at M. Step 4: Draw a circle with P as centre and radius = MP to intersect the given circle .at the points R and Q. Step 5: Join PR and PQ. |
Answer» 1)Step 2 only |
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437. |
Two dice arethrown simultaneously .Find the probability that the sum of the numbers on the faces is neither divisible by 4 nor by 5. |
Answer» <P> |
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438. |
How many parallelograms are there in the figure given below ? |
Answer» 14 |
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439. |
A bucket made up of a metal sheet is in the form of a frustum of cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the bucket if the cost metal sheet used is ₹ 15 per 100 cm^(2). [ Use pi=3.14] |
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440. |
Find the diameter of a circle whose area is equa to the sum of areas of two circles of diameter 16 cm and 12 cm. |
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441. |
What is the area of the triangle formed by the points (a,b+c),(b,c+a) and (c,a+b) ? |
Answer» ANSWER :C | |
442. |
If A=[{:(,0,-1),(,4,-3):}], B=[{:(,-5),(,6):}] and 3A xx M=2B, find matrix M. |
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443. |
Draw a circle with radius 4.2 cm . Construct tangents to the circle from a pointat adistance of 7 cm from the centre . |
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444. |
A cottage industry produces a certain number of pottery articles in a day . It was observed on a particular day that the cost of production of each article (in rupees ) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was 90 , find the number of articles profit and the cost of each article. |
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445. |
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of two radii which are inclined to each other at an angle of .......... |
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446. |
The vertices of a closed convex polygon representing the feasible region of the objective function are (6,2),(4,6),(5,4) and (3,6). Find the maximum value of the function f=7x+11y |
Answer» 61 |
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447. |
Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3). |
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448. |
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of widt 4 m to from on embankment. Find the heigh of the embankment. |
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449. |
Abucket is in the form of a frustum of a cone whose radii of bottom and top are 7 cm and 28 cm respectively. If the capacity of the bucket is 2156 cm, find the whole surface area of the bucket. (Use sqrt(445)=21.095) |
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450. |
Find True or False: 18 is the mode of the data 3,14,18,21,14,18. |
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