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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.
| 2201. |
A dictionary has a total of 1382 pages. It is broken up into two parts. The second part of the book has 64 more than the first part. How many pages are in each part of the book? |
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| 2202. |
To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in figure. Niharika runs (1)/(4) th the distance AD on the 2nd line and posts a green flag. Preet runs (1)/(5) th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags ? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag ? |
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Answer» Solution :From the above figure, the position of green flag posted by NIHARIKA is `M(2, (1)/(2)XX100)i.e., ` `M(2, 25)` and red flag posted by Preet is `N(8,(1)/(5)xx100)i.e., N(8, 20)` Now, `MN=sqrt((8-2)^(2)+(20-25)^(2))=sqrt((6)^(2)+(-5)^(2))=sqrt(36+25)=sqrt(61)` Hence, the distance between FLAGS = `sqrt(61)` m Let P be the position of the blue flag posted by Rashmi in the halfway of line segment MN.  `therefore" "P` is given by = `((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))=((2+8)/(2), (25+20)/(2))=((10)/(2), (45)/(2))=(5, 22.5)` Hence, the blue flag is on the fifth line at a distance 22.5 m above it. |
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| 2203. |
2^(n)-1 gives the set of all odd ntural numbers for all n in N. Comment on he given statement . |
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Answer» True for ALLL values of nTrue foronly ODD values of n |
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| 2204. |
Opposite angles of rhoumbusare 3x^@ and (4x-15)^@. Find x. |
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| 2205. |
Let A, B and C be three dealers in a GST chain. A buys some goods/services for Rs. 2,000 and sells it to B at a profit of Rs. 500. B, in turn sells the same goods/services to C at profit of Rs. 1,000. Taking the rate of GST as 18% find : Input-tax payable by dealer A. |
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| 2206. |
Let A, B and C be three dealers in a GST chain. A buys some goods/services for Rs. 2,000 and sells it to B at a profit of Rs. 500. B, in turn sells the same goods/services to C at profit of Rs. 1,000. Taking the rate of GST as 18% find : Input-tax payable by dealer B. |
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| 2207. |
Let A, B and C be three dealers in a GST chain. A buys some goods/services for Rs. 2,000 and sells it to B at a profit of Rs. 500. B, in turn sells the same goods/services to C at profit of Rs. 1,000. Taking the rate of GST as 18% find : Total cost price for dealer C, if he is the end-user. |
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| 2208. |
A fraction becomes (9)/(11), if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes (5)/(6). Find the fraction. |
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| 2209. |
Expression 75^(@) +cos 65^(@)in terms of trigonometric ratios of angles between 0^(@) and 45^(@) |
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| 2210. |
Using prime factorisation, find the HCF and LCM of : ,(i) 8,9,25(ii) 12,15,21 (iii) 17 ,23,29 (iv) 24,36,40 (v) 30,72,432 (vi) 21,28,36,45 |
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Answer» (iii) HCF= 1, LCM= 11339 (iv) HCF = 4, LCM= 360 (v) HCF= 6, LCM= 2160 (vi) HCF= 1, LCM= 1260 |
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| 2211. |
The makes obtained by 30 students are given in the following table. Find their mean by step deviation method : |
Answer» SOLUTION : LET assumed mean a=25 Here, h=10 `"mean"barx=a+(sumf_(i)u_(i))/(sumf_(i))xxh=25+(2)/(30)xx10=25.67` |
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| 2213. |
ABCD is a rhombus. The co-ordinates of vertices B and D are (4,7)and (-2,1) respectively . Find the equations of AC. |
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| 2214. |
A man bought 360 ten- rupee shares of a company paying 12 percent per annum. He sold the shares when their price rose to21rs per share and invested the proceeds in five-rupee shares paying 4.5 percent per annum at 3.50rs per share. Find the annual change in his income. |
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| 2215. |
Find the sum of all multiples of 7 lying between 300 and 700. |
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| 2216. |
A man buys 75, 100rs shares paying 9 percent dividend. He buys shares at such a price that he gets 12 percent of his money. At what price did he buy the shares ? |
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| 2217. |
If the roots of the equation q^(2)x^(2)+p^(2)x+r^(2)=0 are the squares of the roots of the equation qx^(2)+px+r=0, are the squares of the roots of the equation qx^(2)+px+r=0, then q, p, r are in: |
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Answer» A.P |
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| 2218. |
Solve the quadratic equation x^2+8x +15 =0 by the method of completing square |
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| 2219. |
If a+ b+ c=0 then the value of (a+ b+ c)^(3) - (a^(3) - b^(3) -c^(3) ) is equal to |
| Answer» ANSWER :C | |
| 2220. |
Express each of the following numbers as a product of its prime factors. 7429 |
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| 2221. |
In triangle ABC, angleABC = 90^(@), side AB = 6 cm, side BC = 7.2 cm and BD is perpendicular to side AC. Draw circumcircle of triangle BDC and then state the length of the radius of this circumcircle drawn. |
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| 2222. |
Draw a line segment AB of length 7cm. Using ruler and compasses, find a point P on AB such that (AP)/(AB)=(3)/(5). |
| Answer» Solution :Divide the LINE SEGEMENT `AB` in the RATIO `3 : 2`. | |
| 2223. |
Find the centre of a circle passing throughthe points (6, -6), (3,-7) and (3, 3). |
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Answer» <P> Solution :Let C(x, y) be the centre of the circle passing through the pointsP(6, -6), Q(3, -7) and R(3, 3).  Then, `""PC=QC=CR" "` (radius of circle) Now, `""PC=QC` `RARR""PC^(2)=QC^(2)` `rArr""(x-6)^(2)+(y+6)^(2)=(x-3)^(2)+(y+7)^(2)` `""[because "DISTANCE "=SQRT((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))]` `rArr" "x^(2)-12x+36+y^(2)+12y+36=x^(2)-6x+9+y^(2)+14y+49` `rArr" "-12x+6x+12y-14y+72-58=0" "rArr" "-6x-2y+14=0` `""3x+y-7=0""("DIVIDE by"-2 )...(1)` and `""QC=CR` `rArr""QC^(2)=CR^(2)` `rArr""(x-3)^(2)+(y+7)^(2)=(x-3)^(2)+(y-3)^(2)` `rArr""x^(2)-6x+9+y^(2)+14y+49=x^(2)-6x+9+y^(2)-6y+9` `rArr""-6x+6x+14y+6y+58-18=0` `rArr""20y+40=0""rArr""y=-(40)/(20)=-2""...(2)` Putting y=-2 in Eq. (1) , we get `""3x-2-7=0` `rArr""3x=9""rArr""x=3` Hence,centre is (3, -2). |
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| 2224. |
A man is performing yoga with his head down and legs up. His face is towards the west. In which direction will his left hand be ? |
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Answer» North |
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| 2225. |
Find the volume of right circular cone with radius 6 cm. and height 7 cm. |
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| 2226. |
Solve for x by fractorisation (x-1)^(2) -5 (x-1) - 6=0 |
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| 2227. |
Subiksha earns Rs. 12,500 per month. She donates Rs. 3300 per month towards Prime Minister National Relief Fund (100% relief). Find the amount of tax she has to pay. |
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| 2229. |
A jar contains 24 marble , some are green and others are blue . If a marble is drawn at random from the jar, the probability that it is green is 2/3 Find the number of blue balls |
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| 2230. |
Find which one word cannot be made from the letters of the given word. CARPENTER |
| Answer» SOLUTION :PAINTER | |
| 2231. |
Rubina went to abank to withdraw Rs2000. She asked the cashier to give the cash in Rs.50 and Rs.100 notes only. She got 25 notes in all. Can you tell how many notes each of Rs.50 and Rs.100 she received? |
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| 2232. |
A wooden toy rocke is in the shape of a cone mounted on a cylinder, as shown in the given figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm, the base of the concial protion has a diameter of 5 cm, while the base diameter ofthe cylinderical protion is 3 cm. if the concial portion is tobe painted organe and the cylinderical portion yellow. Find the area of the rocke painted with each of these colours. (Take pi=3.14) |
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| 2233. |
Can (y + 5) be the remainder on division of a polynomial f(y) by (y-2) ? |
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| 2234. |
Mahesh works as a manager in a hotel. He has to arrange seats in hall for a function. A hall has a certain number of chairs. Guests want to sit in different groups like in pairs, triplets, quadruplets, fives and sixes etc. When Mahesh arranges chairs in such pattern like in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs are left respectively. But when he arranges in 11’s, no chair will be left. How many chairs will be left in original arrangement if same number of chairs will be arranged in 7’s? |
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Answer» 0 Thus (a) is CORRECT option. |
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| 2235. |
Mahesh works as a manager in a hotel. He has to arrange seats in hall for a function. A hall has a certain number of chairs. Guests want to sit in different groups like in pairs, triplets, quadruplets, fives and sixes etc. When Mahesh arranges chairs in such pattern like in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs are left respectively. But when he arranges in 11’s, no chair will be left. How many chairs will be left in original arrangement if same number of chairs will be arranged in 9’s? |
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Answer» 8 THUS (a) is correct option. |
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| 2236. |
Mahesh works as a manager in a hotel. He has to arrange seats in hall for a function. A hall has a certain number of chairs. Guests want to sit in different groups like in pairs, triplets, quadruplets, fives and sixes etc. When Mahesh arranges chairs in such pattern like in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs are left respectively. But when he arranges in 11’s, no chair will be left. In the hall, how many chairs are available? |
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Answer» 407 |
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| 2237. |
Mahesh works as a manager in a hotel. He has to arrange seats in hall for a function. A hall has a certain number of chairs. Guests want to sit in different groups like in pairs, triplets, quadruplets, fives and sixes etc. When Mahesh arranges chairs in such pattern like in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs are left respectively. But when he arranges in 11’s, no chair will be left. If one chair is removed, which arrangements are possible now? |
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Answer» 2 THUS (a) is CORRECT option |
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| 2238. |
Mahesh works as a manager in a hotel. He has to arrange seats in hall for a function. A hall has a certain number of chairs. Guests want to sit in different groups like in pairs, triplets, quadruplets, fives and sixes etc. When Mahesh arranges chairs in such pattern like in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs are left respectively. But when he arranges in 11’s, no chair will be left. If one chair is added to the total number of chairs, how many chairs will be left when arranged in 11’s. |
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Answer» 1 Thus (a) is correct option. |
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| 2239. |
Devide 20 into four parts which are in arithmeticprogression and such that the product of firstand fourth is to the product of second and third in the ratio 2:3 . OR The angles of a quadrilateral are in AP such that the greatest is double the least calculate all the angles of the quadrilateral . |
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Answer» Or `60^(@), 80^(@)`, 100, 120` |
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| 2240. |
Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster than the second train. If after two hours they are 50 km. apart, find the average speed of each train. |
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| 2241. |
Draw a Delta ABC. 1.Bisect angleB and name the point of intersection of AC and the angle bisecto as D.2. Mesure the sides. AB= square cm , BC = square cm, AD = square cm, DC = square cm 3.Find rations (AB)/(BC) and (AD)/(DC). 4.You will find thaat both the rations are almost equal. 6.Bisect remaining angles of the triangle and find the ration as above. Verify that the rations are equal. |
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| 2242. |
If A=[{:(,3,5),(,4,-2):}] and B=[{:(,2),(,4):}]" is the product AB possible"?. Give a reason, if yes, find AB. |
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| 2243. |
To divide segment AB in the ratio 3:5, ray AX is drawn such that angleBAX is an acute angle. Then, the number of points to be marked at equal distance on AX must be at least .... |
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Answer» 3 |
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| 2244. |
The point P (5, 3) was reflected in the origin to get the image P'. Write down the co-ordinates of P' |
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| 2245. |
Construct the circumcirle by drawing an equilateral triangle of sides 5 cmeach. Also draw two tangents to that circle at A and C which intersect each other at P. Write what type of the quadrilateral ABCP is . |
Answer» SOLUTION : Here, O is the centre of the circumcircle of `DELTAABC`. The TANGENT EAP at A and the tangent TCP at C. intersect each other at P. `because AB||PC` and `AP||BC, therefore ` the equilateral ABCP is a parallelogram. |
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| 2246. |
If m times the m^(th) term of an A.P. is equal ton times the n^(th) term and m ne n, show that (m+n)^(th) term is zero. |
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| 2247. |
Point (-5,0) and (4,0) are invariant point under reflection in the line L_1 ,point (0,-6) and (0,5) are invariant on reflection in the line L_2 . State or describe a single transformation that maps Q' onto Q'' . |
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| 2248. |
Point (-5,0) and (4,0) are invariant point under reflection in the line L_1 ,point (0,-6) and (0,5) are invariant on reflection in the line L_2 . Name or write equation for the line L_1 and L_2 . |
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Answer» The line `L_2` is y - axis , whose equation is x = 0 |
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| 2249. |
Point (-5,0) and (4,0) are invariant point under reflection in the line L_1 ,point (0,-6) and (0,5) are invariant on reflection in the line L_2 . Write down the image of P(2,6) and Q (-8,-3) on reflection in L_1 . Name the images as P' and Q' respectively. |
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Answer» <P> |
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| 2250. |
Draw a line segment AB of length 7 cm. Using compass and ruler, find the point P on AB such that (AP)/(AB) = (3)/(5). |
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Answer» Hence P DIVIDES AB in the ratio `3 : 5`. |
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