Description : A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a) 12 b) 21 c) 93 d)17 e) None
Last Answer : B Let initial quantity of P in the container be 7x and initial quantity of Q in the container be 5x Now 9 litres of mixture is drawn off from the container. Quantity of P in 9 litres of the mixture drawn off ... = 7 : 9 x=16* 21/4*28 Litres of P contained in the container initially =7x = 21
Description : How many litres of a 36 litre mixture containing milk and water in the ratio of 4 : 6 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion? a) 3 b) 2 c) 4 d) 7 e) 6
Last Answer : E The mixture contains 40% milk and 60% water in it. That is 14.4 litres of milk and 21.6 litres of water. Now we are replacing the mixture with pure milk so that the amount of milk and water in the ... containing 60% water, we need to remove ={3.6}/{0.6} litres of the mixture = 6 litres
Description : Vessel A contains milk and water in the ratio 3:2. Vessel B contains milk and water in the proportion 4:5.In what proportion should quantities be taken from A & B to form a mixture in which milk and water are in the ratio 7:2? a) 3:2 b) 15:2 c) 4:3 d) 8:15 e) 6:18
Last Answer : D For this question, we will consider the proportion of milk in each mixture. In Vessel A, the proportion of milk in 3/((3+2) )=3/5. vessel B, the proportion of milk is 4/(4+5) = 4/9
Description : Two vessels A and B contain sugar and rava in the ratio 4 : 3 and 2 : 3 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing sugar and rava in the ratio 1 : 2? a) 2:9 b) 3:2 c) 7:9 d) 2:7 e) 7:4
Last Answer : E Let Cost Price(CP) of 1 kg sugar be Rs.1 Quantity of sugar in 1kg mixture from vessel A=4/7 Cost Price(CP) of 1kg mixture from vessel A = Rs. =4/7 Quantity of sugar in 1 kg mixture from vessel ... from vessel C=1/2 Cost Price(CP) of 1 kg mixture from vessel C(Mean Price) = Rs.=1/2
Description : A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal ... . What is the value of x? a) 6 litres b) 10 litres c) 30 litres d) None of these
Last Answer : C Another way for solving this sum is by choice The mixture of 60 litres has in it 24 litres of milk and 36 litres of water. (2 : 3 :: milk water) When you remove x litres from it, you ... have 30 litres of milk and 30 litres of water - i.e. milk and water are in equal proportion.
Description : In what ratio must a person mix three kinds of dall costing him Rs 12.25,Rs 12.50 and Rs 12.75 per Kg so that the mixture may be worth Rs 12.65 per Kg? a) 11:7:1 b) 22:3:6 c) 14:3:4 d) 2:7:4 e) 3:12:32
Last Answer : E Step1: Mix dall of first and third kind to get a mixture worth Rs 12.25 per Kg. C.P of 1 Kg dall of 1st kind 1225p C.P of 1 Kg dall of 3rd kind 1275p So they must be mixed in the ... So the Mixed ratio = 3:8 Thus the quantities of dall 1st : 2nd : 3rd = 3:12:32
Description : From a cask of milk containing 45 litres, 9 litres are drawn out and the cask is filled up with water.If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask? a) 31.2 b) 20.9 c) 23.04 d) 12.39 e) 15.36
Last Answer : C where x is the initial quantity of milk in the cask y is the quantity of milk withdrawn in each process and n is the number of processes. Initial quantity:45 Withdrawn quantity=9 number of times repeated=3 ... ] Quantity of milk left after the 3rd operation =45*(45-9)/45)^3 = 23.04 litres.
Description : In what ratio must a person mix three kinds of musted seeds costing Rs.65/kg, Rs.70/kg and Rs.105 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%? a) 1:2:4 b) 3:7:6 c) 1:4:2 d)1:8:6 e) 40 : 8 : 25
Last Answer : E The resultant mixture is sold at a profit of 20% at Rs.96/kg i.e. 1.2 (cost) = Rs.96 => Cost = = Rs.80 / kg. Let the three varities be A, B, and C costing Rs.65, Rs.70 and Rs.105 respectively. The ... be mixed. A:C=4:5 B:C=2:5 The resultant ratio A : B : C :: 40 : 8 : 25.
Description : In what ratio must water be mixed with milk costing Rs.30 per litre in order to get a mixture worth of Rs.18 per litre? a) 3:2 b) 2:3 c) 4:3 d) 2:7 e) 1:2
Last Answer : B By the rule of allegation Ratio of water to milk = 12:18 = 2:3
Description : A jar full of whiskey contains 52% alcohol. A part of this whisky is replaced by another containing 31% alcohol and now the percentage of alcohol was found to be 38%. The quantity of whisky replaced is a) 3/2 b) 2/3 c) 4/3 d) 2/7 e) None
Last Answer : B Concentration of alcohol in 1st Jar = 52% Concentration of alcohol in 2nd Jar = 31% After the mixing, Concentration of alcohol in the mixture = 38% By rule of allegation, Hence ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2 i.e., 2/3 part of the whisky is replaced.
Description : A container contains 55 litres of milk. From this container 5.5 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? a) 32 b) 29.16 c) 43 d) 27.12 e) 40.09
Last Answer : E Where x is the initial quantity of milk in the cask y is the quantity of milk withdrawn in each process and n is the number of processes. Initial quantity:55 Withdrawn quantity=5.5 number of times repeated ... of milk left after the 3rd operation =55*((55-5.5)/55) ^3 =40.09litres.
Description : In what ratio should wheat at Rs12.60 per kg be mixed with wheat at Rs. 14.60 per kg so that the mixture be worth Rs.13 per kg ? a) 6:8 b) 8:7 c) 4:3 d) 2:7 e) 4:1
Last Answer : E Thus the required ratio = 160 :40 = 4:1
Description : Find the ratio in which Nuts at Rs. 5.40 a kg be mixed with Nuts at Rs. 3.20 a kg to produce a mixture worth Rs. 4.60 a kg. a) 9:2 b) 2:3 c) 4:3 d) 3:2 e) 7:4
Last Answer : E By the rule of allegation Required ratio = 140 : 80 = 7:4
Description : In 1 kg mixture of iron and carbon, 40% is carbon. How much iron should be added so that the proportion of carbon becomes 20% a)1.5kg b)2kg c)3kg d)5kg e)1kg
Last Answer : E Quantity of the mixture : Quantity of iron = 20 : 20 = 1 : 1 Given that quantity of the mixture = 1 kg Hence quantity of iron to be added = 1 kg
Description : Redgram worth Rs. 112 per kg and Rs.123 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 142 per kg, the price of the third variety per kg will be a) 153 b) 175.50 c) 43.9 d) 227.9 e) 166.5
Last Answer : E Since first second varieties are mixed in equal proportions so their average price = Rs.(112 + 123/2) = Rs. 117.5 So, the mixture is formed by mixing two varieties, one at Rs. 117.50 per kg and the ... ratio 2 : 2, i.e., 1 : 1. We have to find x. By the rule of allgation
Description : A merchant mixes three varieties of rice costing Rs.40/kg, Rs.48/kg and Rs.60/kg and sells the mixture at a profit of 40% at Rs.60 / kg. How many kgs of the second variety will be in the mixture if 4 kgs of the third variety is there in the mixture? a) 1 kg b) 20 kgs c) 3 kgs d) 6 kgs e) 8kgs
Last Answer : D If the selling price of mixture is Rs.60/kg and the merchant makes a profit of 20%, then the cost price of the mixture = 60/1.2 = Rs.50/kg. We need to find out the ratio in which the three varieties are mixed ... QC in step 1 and step 2 = 1 + 5 = 6 Therefore, the ratio = 1 : 25 : 5
Description : How many kg of dal at Rs.8.40 per kg be mixed with32 kg of dall at Rs10.20 per kg to get a mixture worth Rs.9.60 per kg? a) 23 b) 49 c) 43 d) 72 e) 16
Last Answer : E By the rule of allegation ,we have Quantity of 1st kind dall : Quantity of 2nd kind dall = 60 : 120 => Quantity of 1st kind dall:32 = 1:2 Quantity of 1st kind dall =32 *1/2 = 16
Description : In 20 litres of a mixture, the ratio of sugar syrub to honey syrub is 5:1. In order to make the ratio of sugar syrub to honey syrub as 3:1, the quantity of honey syrub that should be added to the mixture will be A) 5 2/3 B) 4 1/3 C) 6 2/3 D) 2 2/9
Last Answer : D By the rule of alligation Quantity of honey : Quantity of mixture =1/12:3/4}=1:9 Given that quantity of mixture = 20 litre =>Quantity of honey : 20 = 1 : 9 => Quantity of honey = 20 x1/9 = 2 2/9 litre
Description : A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a) 2 b) 3 c) 4 d) 7 e) 6
Last Answer : E Let cost of 1 litre milk be Rs.1 Milk in 1 litre mix in 1st can =3/4 litre Cost Price(CP) of 1 litre mix in 1st can = Rs. 3/4 Milk in 1 litre mix in 2nd can 1/2 litre. Cost Price(CP) of 1 ... 2nd can :mix in 1st can =1/8:1/8=1:1 ie, from each can,1/2* 12 = 6 litre should be taken.
Description : In what ratio should a shopkeeper mix two types of rice, one costing 40 rupees/kg and another costing 20 rupees/kg to get a rice variety costing 28 rupees/kg a) 3:2 b) 2:3 c) 4:3 d) 2:7 e) None
Last Answer : B Here also we can use Alligation as follows X = 40-28 = 4 ; y = 28-20 = 8 The ratio between the type 1 and type 2 rice is 4:6 or 2: 3
Description : The cost of Type 1 material is Rs. 50per kg and Type 2 material is Rs.75 per kg. If both Type 1 and Type 2 are mixed in the ratio of 3:2 then what is the price per kg of the mixed variety of material? a) 32 b) 38 c) 53 d) 62 e) 60
Last Answer : E Cost Price (CP) of Type 1 material is Rs. 50 per kg Cost Price (CP) of Type 2 material is Rs. 75 per kg Let Cost Price(CP) of resultant mixture be Rs.x per kg
Description : Some amount out of Rs.8500 was lent at 5% per annum and the remaining was lent at 3% per annum. If the total simple interest from both the fractions in4 years was Rs.1500, the sum lent at 5% per annum was a) Rs. 2400 b) Rs. 2200 c) Rs. 2000 d) Rs. 6000
Last Answer : D Total simple interest received , I = Rs.1500 Principal , p = 8500 period, n = 4 years Rate of interest, r = ? Simple Interest, I=PNR/100 1500 = ( 8500 4 r )/ 100 = ... total amount is Rs.8500. Therefore, the amount lent at 5% per annum (part1 amount) = 8500x12/17 = 6000
Description : A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially? a) 24 b) 32 c) 40 d) 48 e) None of these
Last Answer : Answer: B milk = 4x and water = 3x milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14 4x – 8: 3x + 8 = 3:4 X = 8, so milk = 8*4 = 32 litres
Description : From a vessel containing 100 litres of wine,10 litres are drawn out and an equal amount of water is added. From the mixture,10 litres is again drawn out and same quantity of water is added. What is the final ratio of wine and water? a) 91 : 9 b) 81 : 19 c) 80 : 20 d) 90 : 10 e) None of these
Last Answer : Quantity of wine after two replacements = 100 l × (90/100)2 =81 l Required ratio = 81 : ( 100 – 81 )= 81 : 19 Answer: b)
Description : The total pressure on the top of a closed cylindrical vessel completely filled up with a liquid is (A) Directly proportional to (radius)2 (B) Inversely proportional to (radius)2 (C) Directly proportional to (radius)4 (D) Inversely proportional to (radius)
Last Answer : Answer: Option C
Description : A vessel contains 100 litres of milk. From this, 10 litres of milk was taken out and replaced by water. The process was repeated further two times. How much milk is now contained by the vessel? a) 72.9 litres b) 60.4 litres c) 71.6 litres d) 81 litres e) None of these
Last Answer : Milk after three replacement =100 × (90/100)3 = 72.9 litres Answer: a)
Description : A box contains 3red, 8 blue and 5 green marker pens. If 2 marker pens are drawn at random from the pack, not replaced and then another pen is drawn. What is the probability of drawing 2 blue marker pens and 1 red marker pen? a) 3/20 b) 1/20 c) 7/20 d) 9/20
Last Answer : Answer: B) Probability of drawing 1 blue marker pen =8/16 Probability of drawing another blue marker pen = 7/15 Probability of drawing 1 red marker pen = 3/14 Probability of drawing 2 blue marker pens and 1 red marker pen = 8/16*7/15*3/14=1/20
Description : When the stopper is removed from a partly filled bottle containing solid and liquid acetic acid at 16.7 and degC a strong vinegar like odor is noticeable immediately. How many acetic acid phases must?
Last Answer : When the stopper is removed from a partly filled bottlecontaining solid and liquid acetic acid at 16.7 °C, a strongvinegar like odor is noticeable immediately. How many acetic acidphases must be present in the bottle? Explain.
Description : 10 g of hydrogen and 64 g of oxygen were filled in a steed vessel and exploded. Amount of water produced in this reaction will be :-
Last Answer : 10 g of hydrogen and 64 g of oxygen were filled in a steed vessel and exploded. Amount of water produced in ... mole B. 3 mole C. 4 mole D. 1 mole
Description : Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied ... the percentage of milk in the cask. a) 55% b) 50% c) 45% d) 25% e) None of these
Last Answer : Answer: D 0.75+3.75=4.5/10+8*100=4.5/18*100=25%
Description : Water spills wine a vessel filled completely with water is heated?
Last Answer : Muster 4Ostentation 1Pride 2
Description : Give reason: Glass bottle immersed in a vessel filled with water does not break even when water beings to boil.
Last Answer : Glass is a bad conductor of heat.
Description : Air vessel of a reciprocating pump is initially filled with (A) Atmospheric air (B) Compressed air (C) Water (D) None of these
Last Answer : (B) Compressed air
Description : In a three-phase electrical system, three ground detecting lamps are provided. If all three lamps REMAIN at half-brilliance when the ground detecting test switch is operated, ______________. A. there is a ... must be replaced C. there are no grounds present D. the light bulbs are of improper voltage
Last Answer : Answer: C
Description : Name the parts labelled A and B in the neuron drawn above. Which part acquires the information in the neuron ? NCERT Solutions for Class 10 Science Chapter 7 Control and Coordination HOTS Q7 -Biology-10
Last Answer : A-Dendrite, B-Axon Dandrite. Dandrite to cell body or cyton to axon. Electrical impulse In the region of synapse.
Description : In what ratio must a person mix three kinds of Oats costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs 1.41 per Kg? A)11:77:7 B) 11:45:7 C)25:45:8 D) 27:23:6
Last Answer : A)11:77:7
Description : Given a specific mylar bladder filled with helium,if I continue to add more gas [pressure] would the vessel lift more weight than its previous lifting strength?
Last Answer : answer:You do realize that Mylar balloons are not a unibody construction? They have seams which are heat sealed only and not impervious to bursting from too much pressure. You'd be better off with latex balloons. ... balloon boy hoax that nutjob cooked up a few years ago? That's what he used :)
Description : Counters marked 1, 2, 3 are placed in a bag and one is drawn and replaced. -Maths 9th
Last Answer : (b) \(rac{7}{27}.\)Let S be the sample space of drawing a counter three times and replacing it each time. Then, n(S) = 3 3 3 = 27 Let A : Event of obtaining a total of 6 in the three draws of counters. Then, A = {(1, 2, 3), ... (2, 2, 2)} ⇒ n(A) = 7 ∴ P(A) = \(rac{n(A)}{n(S)}\) = \(rac{7}{27}.\)
Description : A pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, what is the probability of drawing 2 blue pens and 1 black pen? a) 16/243 b) 16/283 c) 14/243 d) 23/729
Last Answer : a) 16/243
Description : Consider a pack contains 2black, 9 white and 3 pink pencils. If a pencil is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 black pencils and 1 pink pencil? a)3/ 49 b)3/686 c)3/14 d)3/545
Last Answer : Answer: B) Here, total number of pencils = 14 Probability of drawing 1 black pencil = 2/14 Probability of drawing another black pencil = 2/14 Probability of drawing 1 pink pencil = 3/14 Probability of drawing 2 black pencils and 1 pink pencil = 2/14 * 2/14 * 3/14 = 3/686
Description : If there are 3 moles of hydrogen 6 moles of oxygen and 9 moles of helium in a 10 L vessel at 27 and degC the total pressure of the gas mixture will be?
Last Answer : What is the answer ?
Description : “Premchand’s novels are filled with all kinds of powerful characters drawn from all levels of the society.” -SST 10th
Last Answer : (i) Sewasadan : In his novel Sewasadan, Munshi Premchand deals mainly with the poor condition of the Indian women in the society. He also exposes the double standards of the upper class of the era. ( ... . After his death, the village priests demand a cow from his widow to bring his soul to peace.
Description : “Premchand’s novels are filled with all kinds of powerful characters drawn from all strata of society.” Support the statement by giving suitable examples. -SST 10th
Last Answer : Premchand has created very powerful characters in his novels and they cover the whole spectrum of society. In his novels, we meet with aristocrats and landlords, middle-level peasants and landless ... are very strong individuals, especially those who come from the lower classes of rural society.
Description : Pick out the wrong statement. (A) In a batch reactor, which is exclusively used for liquid phase reactions; temperature pressure and composition may vary with time (B) In a semi-batch reactor, ... system (D) In a continuous flow reactor, both the reactants and the products flow out continuously
Last Answer : (C) In a continuous flow reactor, uniform concentration cannot be maintained throughout the vessel even in a well agitated system
Description : A pump can fill a cistern in 12 hrs. After half the cistern is filled, 3 more similar pumps are opened. What is the total time taken to fill the cistern completely? A) 8 hrs B) 4 hrs C) 2hrs D) 7.5 hrs
Last Answer : D Time taken by 1 pump to fill tha half tank = 6 hrs Part filled by the 4 pumps in 1 hr = 4 * 1/12 =1/12 =>1/3 Remaining part = (1 – 1/2)= 1/2 Therefore 1/3 :1/2 :: 1:x X=1.5 hrs So total time takem = 6hrs + 1.5 hrs = 7.5 hrs.
Description : A circuit breaker differs from a fuse in that a circuit breaker _____________. A. melts and must be replaced B. is enclosed in a tube of insulating material with metal ferrules at each end C. gives no visual indication of having opened the circuit D. trips to break the circuit and may be reset
Last Answer : Answer: D
Description : What method can be used to separate parts of a liquid mixture if the entire mixture can pass through a filter?
Last Answer : YOu
Description : A chemical reaction, A → 3B, is conducted in a constant pressure vessel. Starting with pure A, the volume of the reaction mixture increases 3 times in 6 minutes. The fractional conversion is (A) 0.33 (B) 0.5 (C) 1 (D) Data insufficient, can't be predicted
Last Answer : (C) 1
Description : Pick out the wrong statement. (A) The vessel dispersion number (D/UL) for plug flow and mixed flow approaches zero and infinity respectively (B) Space time in a flow reactor is a ... ideal tubular flow reactor, mixing takes place in radial direction and there is no mixing in longitudinal direction
Last Answer : (C) Mixed reactor is always smaller than the plug flow reactor for all positive reaction orders for a particular duty
Description : Which of the following situations can be approximated to a steady state heat transfer system? (A) A red hot steel slab (having outside surface temperature as 1300°C) exposed to the atmospheric air at ... flowing at the rate of 6 Kg/minute through a copper pipe exposed to atmospheric air at 35°C
Last Answer : (B) 10 kg of dry saturated steam at 8 kgf/cm2 flowing through a short length of stainless steel pipe exposed to atmospheric air at 35°C