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.
| 61901. |
deee-as |
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Answer» Putting the limits, we will get - arcsin(-1/2) =30 degree or (pi)/6 |
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| 61902. |
है dee A= 13 *nm{«\\ thal |
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Answer» Given:secA = 17/8 We know, sec A = Hypotenuse/Base = 17/8 So, draw a right angled triangle PQR, right angled at Q such that∠ PQR = ABase QR = 8 and Hypotenuse PR = 17 Using Pythagoras Theorem in ΔPQR PR² = PQ² + QR²⇒ (17)² = PQ² + (8)²⇒ 289 = PQ² + 64⇒ PQ² = 289 - 64⇒ PQ² = 225⇒PQ = 15 L.H.S. = 3-4sin²A/4cos²A-3 ⇒ 3-4(15/17)²/4(8/17)² - 3 ⇒ 3-4×(225/289)/4×(64/289)-3 ⇒ {(867-900)/289}/{(256-867)/289} ⇒-33/289× 289/-611= 33/611 R.H.S = (3-tan²A)/(1-3tan²A) ⇒ 3-(15/8)²/1-3(15/8)² ⇒ 3- (255/64)/1- (675/64) ⇒-33/64× 64/-611 ⇒ 33/611 So, L.H.S. = R.H.S. Hence proved |
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| 61903. |
(1822(-18) --Solg) on Dume Dee |
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Answer» -6 is the right answer answer is 6 of that statement accept me best and like my ans. (-18)-(-12)=-18+12=-6 |
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| 61904. |
th ahich dee quachant the point(3 |
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Answer» point (2,3):x=2, y=3Both x and y coordinates are positive, therefore the given point must lie in the first quadrant |
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| 61905. |
A card is selected from a pack of 52 cards.(a) How many points are there in the sample space?b) Calculate the probability that the card is anace of spades.(c) Calculate the probability that the card is (i) anace, (ii) black card[KVS 2014; NCERT |
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Answer» you have taken more time . so ot is not available. bcs my student is boring |
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| 61906. |
(CBSE 2014) |
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Answer» (HCF)(LCM) = Number1xNumber2 (7360)(20) = Number1xNumber2 |
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| 61907. |
फिर ¢ ; 1 §A_/_m'v Pip+p-Sp==(x+y+2) [(X -0+ (-2 Az - %R g e 4 बैक, है R 3 |
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| 61908. |
If the angular diameter of the moon be 30', how far from the eye should a coinof diameter 2.2 cm be kept to hide the moon ? |
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Answer» So r = (360*2.2)/(pi) = 252cmAs r is the distance from eyes. So the coin should be kept at a distance of 252cm. |
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| 61909. |
A well with inside diameter 10 m is dug 8.4 m deep. Earth taken out ofit is spread all around it to a width of 7.5 m to form an embankment.Find the height of the embankment.ее |
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| 61910. |
7. The line segment joining the points (3, -4) and (1, 2) is trisected at the points Pip, -2) and Q,).Find the values of p and q |
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| 61911. |
2. In a corner of a rectangular field with dimensions 35 m x 22 m, a wellwith 14 m inside diameter is dug 8 m deep. The earth dug out is spreadevenly over the remaining part of the field. Find the rise in the level of[HOTS]the field.Fr wire nf diameter 5 mm is evenly wrapped on a cylinder of |
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| 61912. |
The diameter of the moon is approximately one-fourth the diameter of earth. What fraction ofvolume of earth is the volume of moon?17.KVS 2014, NCERTI |
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| 61913. |
Concentric circles are circles havingof a circle. |
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Answer» Concentric circles are circle having same center of a circle. |
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| 61914. |
. Ifa line intersects two concentric circles (circleswith the same centre) with centre O atA, B, C andD, prove that AB- CD (see Fig. 10.25).Three girls Reshma, Salma and Mandip areplaying a game by standing on a circle of radius5m drawn in a park. Reshma throws a ball toSalma, Salma to Mandip, Mandip to Reshma. Ifthe distance between Reshma and Salma andetween Salma and Mandip is 6m each, what ise distance between Reshma and Mandip?AFio. 1025 |
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Answer» Let O bethe centre of the circle. A, B and C represent the positions of Reshma, Salmaand Mandip. AB = 6cm and BC = 6cm. Radius OA = 5cm.(given) Draw BM ⊥ AC ABC is an isosceles triangle as AB = BC, M ismid-point of AC. BM isperpendicular bisector of AC and thus it passes through the centre of thecircle. Let AM = y and OM = x then BM = (5-x). In ΔOAM, OA²=OM²+AM² ( by Pythagorastheorem) 5²=x²+y²—(i) In ΔAMB, AB²=BM²+AM²(by Pythagoras theorem) 6²= (5-x)²+y²— (ii) Subtracting (i) from (ii), 36 – 25 = (5-x)² -x² 11 = (25+x²– 2×5×x) - x² 11= 25+x²-10x - x² 11= 25-10x 10x = 14 x= 7/5 Substituting the value of x in (i), we get y²+ 49/25 = 25y²=25 – 49/25y²=(625 – 49)/25y²=576/25 y = 24/5 Thus, AC = 2×AM AC = 2×y AC= 2×(24/5) m = 48/5 m = 9.6 m Hence, the Distance between Reshma and Mandipis 9.6 m. |
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| 61915. |
hasitturnedin10seconds?kn/hr. Through what angleconceal the full moon whose angular diameter is 31'.17. Find thedistance from the eye at which a coin of 2 cm diameter should be held so as to |
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Answer» answer is wrong |
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| 61916. |
e is 1 cm. Find theThe outer diameter of a metallic pipe is 14 cm and the thickness of the pipweight of 5 m long tube if the density of the metal is 7g/m17. |
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| 61917. |
17.A well with 20 m inside diameter is dug 7 mdeep. Earth taken out of it is spread allaround to a width of 3 m to form anembankement. nd the height of2bankment |
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| 61918. |
The mean weight of 180 students in a school is 50 kg. The mean weight of boys is 60 kg andthat of girls is 45 kg. Find the number of boys and girls. |
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Answer» suppose x boys and y girlsso x+y=18060x+45y=180×504x+3y=12×50=6004x+3y-3x-3y=600-540so y=60so x=120so 120 boys and 60 girls |
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| 61919. |
\frac{1+2 i+3 i^{2}}{1-2 i+3 i^{2}} \quad \text { (iin } \quad\left(\frac{1+i}{1-i}\right)^{4 n+1} |
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| 61920. |
उदाहरण 12. निम्नलिखित समीकरण से x तथा y के मानों कोज्ञात कीजिए:[NCERT SOLVED EXAMPLE]x 5 |3 -4][7 6 |*[7 y- 3] [12][15 14||| |
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| 61921. |
If (3+1, y-2-(5,1),find the values ofxandyfind the values of x and y., Iin3) (33 |
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| 61922. |
Barth taken out on digging a circular tank ofdiameter 17.5 m is spread all around the tankm is spread all arouniformly to a width of 4 |
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| 61923. |
The mean weight of 150 students in a class is 60 kg. The mean weight of boys is 70 kg whilethat of girls is 55 kg. Find the number of boys and girls in the class. |
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| 61924. |
difine exaction |
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Answer» Exaction is the action of demanding and obtaining something from someone, especially a payment. |
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| 61925. |
8. PO and RS are chords of a circle with centre 0. IfZ POQ = 90° Z ROS = 90° and PQ = 6 cm. then find RS. |
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Answer» then RS =6 cm Because both angles are same |
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| 61926. |
13. Cost of 36 eggs is Rs. 180.What will be the cost of 90 eggs? |
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| 61927. |
SolvedExample 1. The cost of 9 cans of juice iswill be the cost of 6 cans of juice? |
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| 61928. |
Differentiate between non-communicable and communicable diseases. |
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| 61929. |
ool is filled by three pipes with uniform flow. The 1t pipe and 3" pipeoperating simultaneously fill the pool in the same time during which the pooltogetheris filled by the 2nd pipe alone. 3d pipe fill the pool five hour faster than 1st pifour hours slower than 2nd pipe. Find the time required by each pipe to fill the poolseparatelytocircle with centre Q from an external point T |
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Answer» Let the volume of the pool = V Let the time taken by second pipe to fill the pool = x hours time taken by first pipe to fill the pool = (x+5) hours, and time taken by third pipe to fill the pool = (x-4) hours. In One hour, First pipe can fill parts of volume of pool Second pipe can fill parts of volume of pool Third pipe can fill parts of volume of pool Now, It is given that, Time taken by first and second pipe simultaneously = Time taken by third pipe alone Neglect the negative value. Thus,the time taken by second pipe to fill the pool = x hours=10 hours. time taken by first pipe to fill the pool = (x+5) hours= 10+5=15 hours. time taken by third pipe to fill the pool = (x-4) hours=1-4=6 hours. |
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| 61930. |
10. A swimming pool is filled part in half an hour. How much will it be filled in l hour?Il. "If we add 7 to twice a number we get 49" write in equation form and find the number. |
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Answer» Please ost one question to be solved. 11.Let the number be x 2x + 7 = 492x = 42 x = 21 |
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| 61931. |
16, Ayaan reduced his weight by 18.5% Now he weight 5868 Kg. what was his weight earlier?d. 72 Kga. 60Kgb. 70 kgc. 69kg |
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| 61932. |
HIUwers die voll e SHOP !A restaurant sold 470 bowls of noodles on Tuesday, 309 bowls onWednesday and 163 bowls on Thursday. How many bowls of noodles weresold in 3 days ?- Omavo 126. cookies to my cute |
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Answer» To.find this add all the number of bowls470+309+163=942 bowls Thuesday-470.Wednesday -309.Thursday -163.add all 470+309+163=942 |
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| 61933. |
Let us solve some more examples UsnEXAMPLE 5 6 bowls cost 90. What would be the cost of 10 such bowls?Cort of f bowls is 90. |
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Answer» 1 bowl costs = 90/6 = 15 rupees 10 bowl costs = 10*15 = 150 rupees |
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| 61934. |
6 bowls cost Rs 90. What would be the cost of 10 such bowls ? |
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Answer» Cost of 6 bowls is 90 So, cost if one bowl is 90/6 = 15 Therefore, cost of 10 bowls is 15 × 10 = Rs 150 |
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| 61935. |
i Apun nehospital is given soup daily in a cylindrical bowl of diameter 7 om. If theorlastiled with soup to a beight of 4 cm, how much soup the hospical has so preparese one 260 patients? |
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| 61936. |
52. To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours andthe pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find how long itwould take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hoursmore than the pipe of larger diameter to fill the pool. |
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Answer» Let x hours be the total time taken by the larger pipe to fill the tank so in 1 hour it would fill 1/x part of the tank similarly y hours are needed for the smaller pipe ,then in 1 hour it would fill 1/y part so, y=10+x -(1) 4/x + 9/y = 1/2 using (1),4/x + 9/10+x =1/2 -(2) solve (2), to get x^2 -16x-80=0 (x-20)(x+4)=0since value of x cannot be -vetherefore x=20 and y=30 |
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| 61937. |
A swimming pool is filled by three pipes with uniform flow. The 1 pipe and 3" pipetogether ois filled by the 2nd pipe alone. 3rd pipe fill the pool five hour faster than 1t pipe andfour hours slower than 2nd pipe. Find the time required by cach pipe to fill the poclseparately.perating simultaneously fill the pool in the same time during which the pool |
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Answer» For volume V of the pool, the time taken by the pipe 1,2 and 3 respectively are: (x+5), x and (x-5) hours. And volume they can fill on the behalf of volume V are: => V/(x+5), V and V/(x-5) respectively. Now given that, time taken by third pipe is equal to the sum ofthe first two pipes. Therefore, V/(x+5) + V/x = V/(x-4) Solving we get, x = 10 and -2 Hence, time required by each pipe to fill the pool is: 10, 15 and 6 hours. Like my answer if you find it useful! |
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| 61938. |
6 soup bowls hold 1 1 800 ml of soup. How much soupis hold by each bowl? |
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Answer» 6soup bowls=1800 ml1 soup bowl=1800/6=300ml |
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| 61939. |
(7) A bullock cart can hold 525 kg weight. Howmuch weight can 5 bullock carts hold? |
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Answer» 5 bullock carts can hold = 5*525 = 2625 kg Like my answer if you find it useful! |
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| 61940. |
10+10+10×10÷90 |
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Answer» Using BODMAS rule, 10/9 = 1.1110*1.11 = 11.110+10+11.1 = 31.11 The answer is 31.11 |
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| 61941. |
A packet of soup makes 9 bowls of servings. How many3/4 bowls of servings arepossible? |
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Answer» A packet of soup makes 9 bowl of servings we have to findHow many 3/4 bowl of servings are possible.⇒9÷(3/4)⇒9×4/3⇒12 servings thanks! |
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| 61942. |
e that there is no special name for three-fourth of a revolution.EXERCISE S2What fraction of a clockwise revolution does the hour hand of a clock turn through,when it goes froma) 3 to 9(b) 4 to 7 (c) 7 to 10d) 12 to 9 (e) 1 to 10 () 6to 3Where will the hand of a clock stop if ite) starts at 12 and makes 2 of a revolution, clockwise?torto at? and makesof a revolution, clockwise? |
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Answer» a) 6/12 = 1/2 b) 3/12 = 1/4 c) 3/12 = 1/4 d) 9/12 = 3/4 e) 9/12 = 3/4 f) 9/12 = 3/4 |
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| 61943. |
I, What fraction of a clockwise revolution does the hour hand of a clock tum threwhen it goes from(a) 3 to 9 (b) 4 to7 (c) 7 to 10(d) 12 to 9 (e) 1 to 10 () 6 to 3Where will the hand of a clock stop if it2.(a) starts at 12 and makes of a revolution, clockwiset(b) starts at 2 and makes of a revolution, clockwise?(e) starts at 5 and makesof a revolution, clockwise? |
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Answer» a) 6/12 = 1/2 b) 3/12 = 1/4 c) 3/12 = 1/4 d) 9/12 = 3/4 e) 9/12 = 3/4 f) 9/12 = 3/4 |
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| 61944. |
(1000-10) (1000+90) |
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| 61945. |
Sample Question 4: It can take 12 hours to fill a swimming pool using two pipes. Ifthe pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for9 hours, only half the pool can be filled.How long would it take for each pipe to fill thepool separately? |
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Answer» thank you |
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| 61946. |
10. Divide ? 1545 between three people A, B and C such that A gets three-ffiths of what B gets and the ratioof the share of B to C is 6 11 |
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| 61947. |
15. 500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broadwater level in the pond, if the average displacement of water by a person islor dinder full |
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| 61948. |
Water is fowing at the rate of 15 km/hour through a pipe of diameter 14 cm into acuboidial pond which is 50 m long and 44 m wide. In what time will the level of water itpond rise by 21 cm? |
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| 61949. |
6 soup bowls hold 1 1 800 ml of soup. How much soupis hold by each bowl?2. |
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Answer» Soup held by each bowl = Amount of soup/ Number of bowls= 1800/6 = 300 ml |
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| 61950. |
Water is following at the rate of 15 km/hr through a pipe of diameter 14 cm into a cuboidal pondwhich is 50 m long & 44 cm wide. In what time will the level of water in the pond rise by 21 cm. |
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