The price of a refrigetor, P is 5 times that of a cooler Q. If then price of P increases by `40%.` then what is the change in the total price of the r

The price of a refrigetor, P is 5 times that of a cooler Q. If then price of P increases by `40%.` then what is the change in the total price of the r
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The price of a refrigetor, P is 5 times that of a cooler Q. If then price of P ... total price of the refrigerator and cooler put together ?
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An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Description : An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Last Answer : Answer: D 

P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Description : P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Last Answer : Answer: B) Let R = c Q = 6c P = 24c/3 = 8c P : Q : R= 8c:6c:c = 8: 6: 1 So Q’s capital = Rs. 35860 * 6/15 = Rs.14344

If CFSE increases by 30% and 40% respectively for `Co^(3+) " to " Rh^(3+) " to " Ir^(3+)`, then the total increase in CFSE for `Ir^(3+)` with respect

Description : If CFSE increases by 30% and 40% respectively for `Co^(3+) " to " Rh^(3+) " to " Ir^(3+)`, then the total increase in CFSE for `Ir^(3+)` with respect

Last Answer : If CFSE increases by 30% and 40% respectively for `Co^(3+) " to " Rh^(3+) " to " Ir^(3+)`, then the ... Ir^(3+)` with respect to `Co^(3+)` is ..

Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Description : Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Last Answer : Answer: B)  R=2/5(1/3 P+1/3 Q)  15R=2(P+Q)  R/(P+Q)= 2/15  Take R=2x, P+Q=15x  Total profit =15x+2x =12750  =>X=Rs.750  Average profit of P&Q =750/2 *15=5625

Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Description : Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Last Answer : Answer: D)  Q=1/3(R-3P)  3Q=R-3P R=3[P+Q]  R/(P+Q) =3/1  R/(P+Q+R)=3/4  R/27000 =3/4  R=Rs.20250

Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Description : Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Last Answer : Answer: D)  Let amount received by R is X  Amount received by Q is X/2  Amount received by P is X/4  Profit ratio of  P,Q &R =X/4:X/2:X  =1:2:4  Total share of P&R  =10500*5/7 =Rs 7500

P is thrice as fast as Q and Q is 4 times as fast as R. If the journey covered by R is 48 mins, then the time to be covered by Q. a) 12 b) 14 c) 10 d) 6

Description : P is thrice as fast as Q and Q is 4 times as fast as R. If the journey covered by R is 48 mins, then the time to be covered by Q. a) 12 b) 14 c) 10 d) 6 

Last Answer : A Let R's speed = x km/hr Then Q's speed = 4x km/hr P's speed = 12x km/hr Ratio of speeds of P<Q<R = 12x :4x:x =12:4:1 Ratio of time taken = 1/12: ¼:1 =1:3:12 If R ... mins, then Q takes 3 mins If R takes 48 mins, then Q takes =(3/12 *48)mins =(144/120mins =12mins

When the sales increase from Rs. 40,000 to Rs. 60,000 and profit increases by Rs. 5,000, the P/V ratio is — (a) 20% (b) 30% (c) 25% (d) 40%.

Description : When the sales increase from Rs. 40,000 to Rs. 60,000 and profit increases by Rs. 5,000, the P/V ratio is — (a) 20% (b) 30% (c) 25% (d) 40%.

Last Answer : (c) 25%

P sells a bike to Q at a profit of 25%. Q sells it to R at a profit of 30%.If R pays Rs.273 for it, the cost price of the bike for P is:

Description : P sells a bike to Q at a profit of 25%. Q sells it to R at a profit of 30%.If R pays Rs.273 for it, the cost price of the bike for P is:

Last Answer : Selling price for q is Rs. 273 Cost price + profit = 273 X + 30x/100= 273 X = 210 Cost price of q is 210 Selling price of p is 210 Cost price + profit = 210 Y + 25y/100= 210 Y = 168 The cost price of p is Rs. 168/-

An isothermal aqueous phase reversible reaction, P ⇌ R, is to be carried out in a mixed flow reactor. The reaction rate in k.mole/m3 .h is given by, r = 0.5CP - 0.125CR. A stream containing only P enters the reactor. The residence time required (in hours) for 40% conversion of P is (A) 0.80 (B) 1.33 (C) 1.60 (D) 2.67

Description : An isothermal aqueous phase reversible reaction, P ⇌ R, is to be carried out in a mixed flow reactor. The reaction rate in k.mole/m3 .h is given by, r = 0.5CP - 0.125CR. A stream containing only P enters the reactor. The ... (in hours) for 40% conversion of P is (A) 0.80 (B) 1.33 (C) 1.60 (D) 2.67

Last Answer : (C) 1.60

Total of the ages of P, Q and R at present is 99 years. Eight years ago, the ratio of their ages was 4: 5: 6. What is the age of Q at present a) 44 b) 30 c) 45 d) 33

Description : Total of the ages of P, Q and R at present is 99 years. Eight years ago, the ratio of their ages was 4: 5: 6. What is the age of Q at present a) 44 b) 30 c) 45 d) 33

Last Answer : D Let their ages 8 years ago is4x, 5x and 6x years.  4x+8+5x + 8 + 6x + 8= 99 hence x= 5 Q’s present age = (5x + 8)  =33 years

Taps P, Q and R can fill a tank in 3, 4 and 5 hours respectively. If all the taps are opened together and after 30 minutes taps Q and R are turned off, find the total time in which the tank is full. A) 2(3/8)hrs B) 1(1/7)hrs C) 2(13/40)hrs D) 3(13/43)hrs

Description : Taps P, Q and R can fill a tank in 3, 4 and 5 hours respectively. If all the taps are opened together and after 30 minutes taps Q and R are turned off, find the total time in which the tank is full. A) 2(3/8)hrs B) 1(1/7)hrs C) 2(13/40)hrs D) 3(13/43)hrs

Last Answer : C In 1 hr P, Q, R = 1/3+1/4+1/5 = 20+15+12/60 = 47/60 Filled in 30m = 47/120 Remaining = 1-47/120 =73/120 Tap P = 3*73/120= 219/120 Total = 219/120+1/2 =219+60 /120= 279/120= 2 13/40 hrs

Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Description : Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Last Answer : Answer: A) Ratio of shares P,Q, R, S = 48*3 : 20 *5 : 70*4 :42*3 = 144 : 100: 280 : 126 = 72:50:140:63 Let total rent be Rs x Then P’s share = Rs. 72x/325 72x /325 = 1420 X = Rs.6410

A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

Description : A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

Last Answer : A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

In the circuit shown here, what is the value of the unknown resistor R so that the total resistance of the circuit between points P and Q is also equa

Description : In the circuit shown here, what is the value of the unknown resistor R so that the total resistance of the circuit between points P and Q is also equa

Last Answer : In the circuit shown here, what is the value of the unknown resistor R so that the total resistance of the ... ` C. `sqrt(69)Omega` D. `10 Omega`

P is 6 years older than Q who is twice as old as R. If the total of the ages of P, Q and R be 81, the how old is Q? a) 27 b) 28 c) 29 d) 30

Description : P is 6 years older than Q who is twice as old as R. If the total of the ages of P, Q and R be 81, the how old is Q? a) 27 b) 28 c) 29 d) 30

Last Answer : D Let R's age be x years. Then, Q's age = 2x years. P's age = (2x + 6) years. (2x + 6) + 2x + x = 81 5x = 75=> x =15. Hence, Q's age = 2x = 30 years

Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Description : Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Last Answer : Answer: B)  Let investment of P, Q & R are 9x,8x & x for 1year.  After 1 year ratio of their investments.  9:8:2 =9 x +18x : 8x: x+6000=27x :8x: x+6000 X =Rs.6000 Total investments of P, Q & R After 2 years =[9+8+2]*6000=Rs.114000.

The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P, Q, R, S and T in such a way that the holes were parallel to each other, perpendicular to the edge and all the holes were still within the lens edge. What is the total number of edges in the lens after the holes were drilled?

Description : The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P ... . What is the total number of edges in the lens after the holes were drilled? 

Last Answer : 57

Is it more profitable for Company M to produce Q? I. Product R sells at a price four times that of Q II. One unit of Q requires 2 units of labour, while one unit of R requires 5 units of labour. There is a no other constraint on production. If the question can be answered with the help of statement I alone, If the question can be answered with the help of statement II alone, If both,statement I and statement II are needed to answer the question If the question cannot be answered even with the help of both the statements. If the data in either statement I or statement II alone is sufficient to answer the question

Description : Is it more profitable for Company M to produce Q? I. Product R sells at a price four times that of Q II. One unit of Q requires 2 units of labour, while one unit of R requires 5 ... both the statements. If the data in either statement I or statement II alone is sufficient to answer the question

Last Answer : from statement I : Let the price of product Q be P' Then the price of product R is 4P From Statement II: Cost of product Q =2 Cost of product R=5 Therefore, Profit percentage of product ... )=80P-100 Hence, product R is more profitable. Both statements are required to answer the question Answer :c

Is it more profitable for Company M to produce Q? I. Product R sells at a price four times that of Q II. One unit of Q requires 2 units of labour, while one unit of R requires 5 units of labour. There is a no other constraint on production. If the question can be answered with the help of statement I alone, If the question can be answered with the help of statement II alone, If both,statement I and statement II are needed to answer the question If the question cannot be answered even with the help of both the statements. If the data in either statement I or statement II alone is sufficient to answer the question

Description : Is it more profitable for Company M to produce Q? I. Product R sells at a price four times that of Q II. One unit of Q requires 2 units of labour, while one unit of R requires 5 ... both the statements. If the data in either statement I or statement II alone is sufficient to answer the question

Last Answer : from statement I : Let the price of product Q be P' Then the price of product R is 4P From Statement II: Cost of product Q =2 Cost of product R=5 Therefore, Profit percentage of product ... )=80P-100 Hence, product R is more profitable. Both statements are required to answer the question Answer :c

The torque and current curves for a three-phase induction motor with a cage rotor, are shown in the illustration. Which of the following statements is true concerning the depicted curves? EL-0056 A. As slip increases, rotor reactance decreases. B. The pullout point on the torque curve is about seven times the normal full load torque value. C. At stand still, stator current is 150% of normal. D. If the motor is loaded to the point where 40% slip has resulted, it will stall.

Description : The torque and current curves for a three-phase induction motor with a cage rotor, are shown in the illustration. Which of the following statements is true concerning the depicted curves? EL-0056 A. As slip ... D. If the motor is loaded to the point where 40% slip has resulted, it will stall.

Last Answer : Answer: D

Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. P and Q invested for one year in the proportion 1 : 2 respectively. 3. The three together got Rs. 500 as profit at the year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Description : Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. ... year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Last Answer : Answer: C) 1 and 2 will give : R = Rs. (4000 x 9) for 1 year = Rs. 36000 for 1 year. P = Rs. (1/4 * 4000 * 12 ) for 1 year = Rs 12000 for 1 year Q = Rs 24000 for one year R:P:Q = ... Profit = 500 Now from the ratio and total profit we can get Share of R. R share will be = 500 * 2/6 = 166.66

P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Description : P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Last Answer : Answer: D)  Let initial investment of P be X  Q’s initial investment after 4 month is 3 X  R’s initial investment after 8 months is 6X  Profit ratio of P,Q&R is,  X*12:3x*4:6x*8=12:12:48=1:1:4  R’s share =61260*4/6=Rs.40840

Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Description : Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Last Answer : Answer: A)  Given, 8P=12Q=6R  4P=6Q=3R=>4P=6Q=>6/4Q=>P=3/2Q  6Q=3R R=6Q/3=2Q  Then, P+Q+R=1728  3/2Q+Q+2Q=1728  3Q+2Q+4Q=3456  9Q=3456  Q=384  P=3/2Q =3/2*384=576,R=2Q=768  A:B:C=576:384:768

P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Description : P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Last Answer : Answer: A) Let R’s capital = Rs.x Q’s capital = Rs.2x/6 = x/3 P’s capital = 6x/3 = 2x Ratio of their capitals = 2x : x/3 : x =6x:x:3x =6:1:3 Hence Q’s share = (7200*1/10) = Rs.720

A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per Kg. He sold 40% of the total quantity at the rate of Rs 50 per Kg. Approximately, at what price per Kg should he sell the remaining quantity to make 25 per cent overall profit? 1. Rs 54 2. Rs 52 3. Rs 50 4. Rs 60

Description : A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per Kg. He sold 40% of the total quantity at the rate of Rs 50 per Kg. Approximately, at what price per Kg should he sell the remaining quantity to make 25 per cent overall profit? 1. Rs 54 2. Rs 52 3. Rs 50 4. Rs 60

Last Answer : 4. Rs 60

Harshith is a successful milk vector in salem. He sold half of the milk at 40% profit, half of the remaining milk at 40% loss and he rest was sold at his cost price. In the total transaction, his gain or loss will be

Description : Harshith is a successful milk vector in salem. He sold half of the milk at 40% profit, half of the remaining milk at 40% loss and he rest was sold at his cost price. In the total transaction, his gain or loss will be

Last Answer : total CP= Rs 100 total SP=[ 140/2+ 60/4+100/4] = 280+60+100/4 =440/4 =110 Gain=sp-cp=110-100=10 Gain% = 10/100*100=10%

If P (5,1), Q (8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the points on the X-axis is/are -Maths 9th

Description : If P (5,1), Q (8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the points on the X-axis is/are -Maths 9th

Last Answer : (d) We know that, a point lies on X-axis, if its y-coordinate is zero. So, on plotting the given points on graph paper, we get Q and O lie on the X-axis.

If P (5,1), Q (8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the points on the X-axis is/are -Maths 9th

Description : If P (5,1), Q (8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the points on the X-axis is/are -Maths 9th

Last Answer : (d) We know that, a point lies on X-axis, if its y-coordinate is zero. So, on plotting the given points on graph paper, we get Q and O lie on the X-axis.

Let P(–3, 2), Q(–5, –5), R(2, –3) and S(4, 4) be four points in a plane. Then show that PQRS is a rhombus. Is it a square ? -Maths 9th

Description : Let P(–3, 2), Q(–5, –5), R(2, –3) and S(4, 4) be four points in a plane. Then show that PQRS is a rhombus. Is it a square ? -Maths 9th

Last Answer : Let P(1, -1), Q \(\big(rac{-1}{2},rac{1}{2}\big)\) and R(1,2) be the vertices of the ΔPQR.Then, PQ = \(\sqrt{\big(rac{-1}{2}-1\big)^2+\big(rac{1}{2}+1\big)^2}\) = \(\sqrt{rac{9}{4}+rac{9}{4}} ... {3\sqrt2}{2}\)PR = \(\sqrt{(1-1)^2+(2+1)^2}\) = \(\sqrt9\) = 3∵ PQ = QR, the triangle PQR is isosceles.

P, Q and R can do a piece of work in 18,24 and 36 days on the second day and P on the third day, again R on the fourth day and so on. Then in how, many days will the work be completed? 1. 25 2. 24 3. 22 4. 20 5. 26

Description : P, Q and R can do a piece of work in 18,24 and 36 days on the second day and P on the third day, again R on the fourth day and so on. Then in how, many days will the work be completed? 1. 25 2. 24 3. 22 4. 20 5. 26

Last Answer : 2;

P, Q, R, S and T are placed in the order of 1 to 5. S is at one of the extreme ends. Q and R are neighbors and T is 3rd to the right of P If Q is in the third position then who will be in fifth position? a) Both S and T b) Either P or Q c) Either S or T d) Both P and Q

Description : P, Q, R, S and T are placed in the order of 1 to 5. S is at one of the extreme ends. Q and R are neighbors and T is 3rd to the right of P If Q is in the third position then who will be in fifth position? a) Both S and T b) Either P or Q c) Either S or T d) Both P and Q

Last Answer : c) Either S or T

P, Q, R, S and T are placed in the order of 1 to 5. S is at one of the extreme ends. Q and R are neighbors and T is 3rd to the right of P If R is in second position, then who will be in fourth position? a) T b) Q c) P d) S

Description : P, Q, R, S and T are placed in the order of 1 to 5. S is at one of the extreme ends. Q and R are neighbors and T is 3rd to the right of P If R is in second position, then who will be in fourth position? a) T b) Q c) P d) S

Last Answer : Ans: option (a)

A race course is 250 m long. P and Q run a race and P wins by 4m. Q and R run over the same course and Q win by 3m. R and S run over it and S wins by 12m. If P and S run over it, then who would win and by how much? a) P by 4.82m b) S by 5.30m c) P by 7.25m d) Q by 6.54m

Description : A race course is 250 m long. P and Q run a race and P wins by 4m. Q and R run over the same course and Q win by 3m. R and S run over it and S wins by 12m. If P and S run over it, then who would win and by how much? a) P by 4.82m b) S by 5.30m c) P by 7.25m d) Q by 6.54m

Last Answer : B If P covers 250m, Q covers 246 m If Q covers 250m, R covers 247 m If S covers 250m, R covers 238m Now if Q covers 246 m, then R will cover =247/250*246=243.048 If R covers 243.048 m, then S will cover= ... 048=255.30 If P and S run over 250 m, then S win by =(255.30-250) S win by = 5.30 m

Two pumps P & Q can fill a tank in 12 mins and 15 mins respectively while a third pipe R can empty the full tank in 6 mins. P & Q kept open for 5 mins in the beginning and then R is also opened. In what time is tank emptied? A) 30mins B) 35mins C) 40mins D) 45 mins

Description : Two pumps P & Q can fill a tank in 12 mins and 15 mins respectively while a third pipe R can empty the full tank in 6 mins. P & Q kept open for 5 mins in the beginning and then R is also opened. In what time is tank emptied? A) 30mins B) 35mins C) 40mins D) 45 mins

Last Answer : D Part filled in 5 min = 5(1/12 +1/15) = 5*9/60 = ¾ Part emptied in 1 min when all the pumps are opened, = 1/6 – (1/12 + 1/15) = 1/6 – 3/20 = 1/60 Now 1/60 is part emptied in 1 min Therefore ¾ part will be emptied in 60 * ¾ = 45 mins

P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another Rs 18 lakh few years. At the end of 10 years profit Of R is equal to sum of profit of P and Q. Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11

Description : P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another ... Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11 

Last Answer : Answer: C) Ratio of their profit P, Q, R is 54*4+36*6:72*6+90*4:108*x+126*(10-x) =12:22:35 - 0.5x Profit of R=profit of P +profit of Q 35-0.5x=12+22 X=2 year The number of years for R invests Rs 126 lakh =10-2=8years

The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Description : The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Last Answer : Answer: C)  Income of P,Q,R = 3x:4x:5x Expense of 4:5:6=4y:5y:6y.  Savings [income –expenditure]  =3x-4y :4x-5y :5x-6y------->1  Given 3x-4y=x/6  y=17x/24  Sub if (1) is,  =3x-4(17x/24) :4x-5(17x/24) :5x-6(17x/24)  =8x:22x:36x  = 4:11:18

P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 after few months. At the end of 1 year and 3 months profits of P and R is twice the profit of Q. Then after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Description : P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 ... after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Last Answer : Answer: A)  Ratio of P, Q &R is , 15000*7+7500* 8:12500*5+2500* 10:10000*x+15000*(15-x)  P: Q: R=66:35:9-2x  Profit of Q = (profit of P + profit of R)/2  35 = (66 +9 -2x)/2  X=2.5 months

P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Description : P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Last Answer : Answer: C) Let amount put by Q be A Let amount put by P be 7A Let amount time of P be T Let amount time of Q is 5T Ratio of P &Q  7A*T:A*5T=>7:5 Total received amount =12360/5*12=29664

If the side of the square increases by 40%, then the area of the square increases by (A) 60 % (B) 40 % (C) 196 % (D) 96 %

Description : If the side of the square increases by 40%, then the area of the square increases by (A) 60 % (B) 40 % (C) 196 % (D) 96 %

Last Answer : Answer: D

If P,Q,R,S are respectively the mid - points of the sides of a parallelogram ABCD, if ar(||gm PQRS) = 32.5cm2 , then find ar(||gm ABCD). -Maths 9th

Description : If P,Q,R,S are respectively the mid - points of the sides of a parallelogram ABCD, if ar(||gm PQRS) = 32.5cm2 , then find ar(||gm ABCD). -Maths 9th

Last Answer : Join PR. ∵ △PSR and ||gm APRD are on the same base and between same parallel lines. ar(△PSR) = 1/2 ar(||gm APRD) Similarly, ar(△PQR) = 1/2 ar(||gm PBCR) ar(△PQRS) = ar(△PSR) + △(PQR) = 1/2 ar(||gm APRD) + 1 ... |gm PBCR) = 1/2 ar(||gm ABCD) ⇒ ar(||gm ABCD) = 2 ar(||gm PQRS) = 2 32.5 = 65cm2

If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Description : If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Last Answer : (b) In point P (-1, 1), x-coordinate is -1 unit and y-coordinate is 1 unit, so it lies in llnd quadrant. Similarly, we can plot all the points Q (3, -4), R (1, -1), S (-2, -3) and T (-4, 4), It is clear from the graph that points R and Q lie in fourth quadrant.

If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Description : If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Last Answer : According to question prove that P, Q, R and D are concyclic.

If P,Q,R,S are respectively the mid - points of the sides of a parallelogram ABCD, if ar(||gm PQRS) = 32.5cm2 , then find ar(||gm ABCD). -Maths 9th

Description : If P,Q,R,S are respectively the mid - points of the sides of a parallelogram ABCD, if ar(||gm PQRS) = 32.5cm2 , then find ar(||gm ABCD). -Maths 9th

Last Answer : Join PR. ∵ △PSR and ||gm APRD are on the same base and between same parallel lines. ar(△PSR) = 1/2 ar(||gm APRD) Similarly, ar(△PQR) = 1/2 ar(||gm PBCR) ar(△PQRS) = ar(△PSR) + △(PQR) = 1/2 ar(||gm APRD) + 1 ... |gm PBCR) = 1/2 ar(||gm ABCD) ⇒ ar(||gm ABCD) = 2 ar(||gm PQRS) = 2 32.5 = 65cm2

If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Description : If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Last Answer : (b) In point P (-1, 1), x-coordinate is -1 unit and y-coordinate is 1 unit, so it lies in llnd quadrant. Similarly, we can plot all the points Q (3, -4), R (1, -1), S (-2, -3) and T (-4, 4), It is clear from the graph that points R and Q lie in fourth quadrant.

If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Description : If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Last Answer : According to question prove that P, Q, R and D are concyclic.

If P, Q and R are three points on a line and Q is between P and R,then prove that PR - QR= PQ. -Maths 9th

Description : If P, Q and R are three points on a line and Q is between P and R,then prove that PR - QR= PQ. -Maths 9th

Last Answer : Solution :-

If a, b, c be the p^th, q^th, r^th terms of a GP, then the value of (q – r) log a + (r – p) -Maths 9th

Description : If a, b, c be the p^th, q^th, r^th terms of a GP, then the value of (q – r) log a + (r – p) -Maths 9th

Last Answer : (a) 0Let h be the first term and k be the common ratio of a GP, then a = hkp - 1, b = hkq - 1, c = hkr - 1∴ (q - r) log a + (r - p) log b + (p - q) log c = log [hkp -1]q - r + log [hkq -1]r - p + log[hkr -1]p - ... r + r - p + p - q) (kp - 1)q - r (kq -1)r - p (kr -1)p - q = log(ho ko) = log 1 = 0.

For three distinct positive numbers p, q and r, if p + q + r = a, then -Maths 9th

Description : For three distinct positive numbers p, q and r, if p + q + r = a, then -Maths 9th

Last Answer : answer:

If ABCD is a rectangle and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively, then quadrilateral PQRS is a rhombus. -Maths 9th

Description : If ABCD is a rectangle and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively, then quadrilateral PQRS is a rhombus. -Maths 9th

Last Answer : Here, we are joining A and C. In ΔABC P is the mid point of AB Q is the mid point of BC PQ∣∣AC [Line segments joining the mid points of two sides of a triangle is parallel to AC(third side) and ... RS=PS=RQ[All sides are equal] ∴ PQRS is a parallelogram with all sides equal ∴ So PQRS is a rhombus.