MU-NLPC/Calc-aqua_rat huggingface dataset:
The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side Choose the most appropriate option:
A) Rs.962
B) Rs.672
C) Rs.546
D) Rs.876
E) None of these

Solution: Explanation:   surface area of a cube= 6 x 82 = 384sq.ft   quantity of paint required=(384/16)= 
(384/16) = 24
24kg   cost of painting= 36.5 x 24 = Rs.876   Answer: Rs.876
Answer: D
In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:  Choose the correct choice from the following
A) 72
B) 76
C) 100
D) 113
E) 112

Solution: 113iver = (5*3)+3= 
(5*3)+3 = 18
18   3* Quotient= 18   Quotient = 6   113ividend = (113ivisor * Quotient) + Remainder   113ividend = (18* 6) + 5= 
(18* 6) + 5 = 113
113   113
Answer: D
Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1−Tn=10Tn+1−Tn=10, then the value of n is	Pick:	A) 5	B) 6	C) 7	D) 8	E) 10

Solution: We are given that Tn+1−Tn=C3n+1−C3n=10 --> C3n+1−C3n=(n+1)!/3!(n−2)!−n!3!(n−3)!=10 --> (n−1)n(n+1)/6−(n−2)(n−1)n/6=10 (n−1)n=20 --> n=5n=5.   Answer: A.   Or: one additional point gives 10 more triangles, so when we add one point there are 10 different pairs of points which make triangles with that additional point --> C2n=10--> (n−1)n=20 --> n=5   5nswer: 5.
Answer: A
A firm has 4 senior partners and 6 junior partners. How many different groups W of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)	Choose the correct choice from the following options
A) 48 B) 100 C) 120 D) 288 E) 600

Solution: What seems to work as well, though its tougher to come up with this solution:     (10*9*8) * 2/3 + (10*9*4)*1/3= 
  (10*9*8) * 2/3 + (10*9*4)*1/3 = 600
600. Divided by all possible permutations (=3!) yields 100.   Explanation: For the first spot you have 10 possible canditates, for the 2nd 9. For the 3rd spot you need to differentiate if a senior partner has been picked for one of the first 2 spots or not. If yes, then you can pick one of the 8 remaining guys, so 10*9*8. If no senior partner has been picked yet, you need 10*9*4.   Now you need to weight the 2 cases with the corresponding probabilities: probability of no senior partner being picked in the first 2 draws = 6/10*5/9=1/3, so you weight 10*9*4 with 1/3. For the complementary case (senior partner was picked in the first 2 draws) you just take the complementary prob (1-1/3)= 2/3 and weight 10*9*8 with it.   Now you just need to divide the answer (600) by the number of different positions (=3!) and get W=600/6=100.100
Answer: B
If the value of a piece of land decreases by 10% while the new tax rate on the land represent 110% of the original tax rate, what is the effect on the taxes?	Choose the most appropriate option:
A) a - taxes increase by 10%
B) b- taxes increase by 1%
C) c- there is no change in taxes
D) d- taxes decrease by 1%
E) c- taxes decrease by 10%

Solution: Cansider the value of land = 100, Original tax rate 10%, hence tax value = 100*10% = 10.   Decreased value of land = 90, New tax rate = 110% of 10 = 11%, hence tax value = 90*11% = 9.9   10-9.9 = decrease by 1%.   Answer d- taxes decrease by 1%.
Answer: D
If John takes 15 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?	Pick:
A) 900xz
B) 15z/x
C) 900x/z
D) 15x/z
E) 900z/x

Solution: It will take (z/x)(15) minutes which is (z/x)(15)(60) seconds = 900z/x seconds.   The answer is 900z/x.
Answer: E
The sum of all the integers k such that –21 < k < 24 is Options:
A) 0
B) -2
C) -25
D) -39
E) -51

Solution: -20------------------0-----------------23   values upto+23 cancels outwe are left with only -20-19 sum of which is - 39. hence option D.   -39
Answer: D
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 4 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?	Choose the correct option.
A) 27/343  B) 3/7  C) 27/125  D) 271/340  E) 9/125

Solution: Let us take 7*5= 
7*5 = 35
35 as the total number of customers. So  7*3= 
 7*3 = 21
21 customers bought a bagel and 5*5= 
5*5 = 25
25 customers bought a coffee.   chances that at least 1 customer bought a coffee and a bagel= 1 - chances that no customer bought a coffee and a bagel   chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32=69/340   chances that at least 1 customer bought a coffee and a bagel= 1 - 69/340 = 271/340   271/340
Answer: D
A boat can move upstream at 25 kmph and downstream at 30 kmph, then the speed of the current is?  Choose the correct choice from the following answers:
A) 5 kmph	B) 7 kmph	C) 8 kmph	D) 9 kmph	E) 2.5 kmph

Solution: US = 25   DS = 30   M = (30 - 25)/2= 
(30 - 25)/2 = 5/2 = around 2.5
2.5   Answer:2.5 kmph
Answer: E
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choose the correct choice from the following options.
A) Rs.6003  B) Rs.6029  C) Rs.1288  D) Rs.6108  E) Rs.6011

Solution: Explanation:   Manager's monthly salary Rs. (1600 * 21 - 1500 * 20) = Rs.6003.   Rs.6003nswer: Rs.6003
Answer: A
If the selling price of 100 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Select.
A) 25% B) 40% C) 60% D) 65% E) 50%

Solution: Let C.P. of each article be Re. 1.   Then, C.P. of 100 articles = Rs. 100;   S.P. of 100 articles = Rs. 40.   Loss % = 60/100 * 100= 
60/100 * 100 = 60
60%   ANSWER:60%
Answer: C
At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 9 students left the lab, how many students were in the computer lab at 15:44 ?	Pick one
A) 7
B) 14
C) 25
D) 27
E) 30

Solution: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -   8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)   20 + 3*14 -8 * 4 = 25   25
Answer: C
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:	Select:
A) 27%
B) 87%
C) 15%
D) 66%
E) 88%

Solution: Investment = Rs. [20 x (50 - 5)] = Rs. 900.   Face value = Rs. (50 x 20) = Rs. 1000.   Dividend = Rs. 27	x	1000 = Rs. 135.   2	100   Interest obtained = 135	x 100	%	= 15%   900   View Answer Discuss in Forum   Answer: 15%
Answer: C
w,x,y,z is an arithmetic sequence, which of the following options also qualifies as an arithmetiv sequence?
I. w-6,x-6,y-6,z-6
II. 5w,2x,3y,5z
III. 5w,5x,5y,5z Answers
A) II and III	B) III only	C) I and III	D) I and II	E) II only

Solution: lets look at the three choices...   I. w-6,x-6,y-6,z-6   since the difference is constant, it is an arithmetic sequence...   II. 5w,2x,3y,5z   since the difference is not constant, it is not an arithmetic sequence   III. 5w,5x,5y,5z   since the difference is constant it is an arithmetic sequence...   II and IIInswer is II and III)
Answer: A
3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?	Select:
A) 40%
B) 55%
C) 57%
D) 60%
E) 67.2%

Solution: Total number of votes polled = (1036 + 4636 + 11628)= 
(1036 + 4636 + 11628) = 17_300
17300   So, Required percentage= 11628/17300 * 100 = 67.2%   67.2%
Answer: E
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain?
Choose the correct choice from the following answers: A) 45 B) 50 C) 55 D) 60 E) 90

Solution: F:C:W   1:12:30   Sport version:   F:C   3:12   F:W   1:60   OR 3:180   So C:F:W = 12:3:180   C/W = 12/180 = 3 ounces/x ounces   x = 6*180/12= 
6*180/12 = 90
90 ounces of water   90
Answer: E
At what rate percent on simple interest will a sum of money double itself in 30 years?	Choose the correct choice from the following answers
A) 3 1/3%
B) 3 1/7%
C) 3 9/3%
D) 3 5/3%
E) 3 3/3%

Solution: P = (P*30*R)/100   R = 3 1/3%   3 1/3%nswer: 3 1/3%
Answer: A
An empty fuel tank with a capacity of 208 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choose the correct choice from the following answers:
A) 160 B) 150 C) 82 D) 80 E) 50

Solution: Say there are A gallons of fuel A in the tank, then there would be 208-A gallons of fuel B.   The amount of ethanol in A gallons of fuel A is 0.12A;   The amount of ethanol in 208-A gallons of fuel B is 0.16(208-A);   Since the total amount of ethanol is 30 gallons then 0.12A+0.16(208-A)=30 --> A=82.   Answer: 82.
Answer: C
What is the greatest value of m such that 4^m is a factor of 27! ?	Pick
A) 5 B) 7 C) 6 D) 8 E) 4

Solution: Pretty simple, really.   If m = 8, then 4m = 32, which is 16x2, both of which are included in 27!   Since 8 is the largest number here, its the answer.   Answer is 8
Answer: D
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?	Choose the correct choice from the following choices.
A) 21 ½ days B) 22 ½ days C) 23 ½ days D) 12 ½ days E) none of these

Solution: 1/18 + 1/30 = 8/90 = 4/45   45/4 = 11 ¼ *2 = 22 ½ days   ANSWER:22 ½ days
Answer: B
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?	Pick one.
A) 288  B) 2778  C) 299  D) 400  E) 287

Solution: 2*12 : 3*12 : 4*24   1: 3: 4   1/8 * 3200= 
1/8 * 3200 = 400
400   27. A and B start a busin. Answer: 400
Answer: D
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?	Select.
A) 4/8 B) 4/5 C) 4/6 D) 4/1 E) 4/4

Solution: Explanation:   3 /4= 
3 /4 = 3/4 = around 0.75
0.75, 5/6= 0.833, 1/2 = .5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9.   clearly 0.8 lies between 0.75 and .833.   4/5 lies between 3/4 and 5/6..   Answer: 4/5) 4 / 5
Answer: B
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Pick:
A) 42, 33
B) 43, 33
C) 42, 38
D) 43, 39
E) 50, 43

Solution: Let the marks secured by them be x and (x + 9)   Then sum of their marks = x + (x + 9) = 2x + 9   Given that (x + 9) was 56% of the sum of their marks   =>(x+9) = 56/100(2x+9)   =>(x+9) = 14/25(2x+9)   => 25x + 225 = 28x + 126   => 3x = 99   => x = 33   Then (x + 9) = 33 + 9= 
33 + 9 = 42
42   Hence their marks are 33 and 42   42, 33)
Answer: A
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight? Choose the correct answer: A) 67.4kg B) 57.75kg C) 58.85kg D) 49.4kg E) None of these

Solution: Actual total weight is (20 Ã— 58.4 - 56 + 65) = 1177 Kgs   Actual average weight is   1177/20= 
  1177/20 = 1_177/20 = around 58.85
58.85kgs   ANSWER IS 58.85kg
Answer: C
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choose the correct option: A) 8 B) 76 C) 17 D) 7 E) 77

Solution: 80% --- 12   120% --- ?     80/120 * 12= 
  80/120 * 12 = 8
8   8nswer: 8
Answer: A
A train crosses a pole in 10 sec and a 200m long platform in 20 sec. What is the length of the train? Choose the correct choice from the following
A) 100m  B) 200m  C) 250m  D) 300m  E) 350m

Solution: Let the length of train be x meter and speed be y m/sec   Therefore, time taken to cross the pole = x/y sec   and time taken to cross the platform = ( Length of train + Length of platform) / speed of train   Therefore x/y = 10   And, (x+200) / y = 20   ⇒ 10y + 200 = 20 y   ∴ speed of train, y = 20 m/sec   And length of rain = x = 10y = 200m ANSWER : 200m
Answer: B
Three candidates contested in an election and received 3136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get? Choose the correct choice from the following.
A) 45% B) 49% C) 52% D) 51% E) 62%

Solution: Total number of votes polled = 3136+7636+11628= 
3136+7636+11628 = 22_400
22400   Required percentage= 11628*100/22400 = 52%   Answer is 52%
Answer: C
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $2. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as	Choose one.
A) 1 :2 : 200 B) 1 : 4 : 100 C) 20 : 4 : 1 D) 100 : 4 : 1 E) 400 : 4 : 1

Solution: millionaire 20 cents = 1/5 dollar ..therefore 1 dollar M = 100 dollar of B   therefore 4 dollar M = 400 dollar of B also 2 dollar Y   Y:M:B = 2:4:400   = 1:2:200   1 :2 : 200
Answer: A
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?  Choose the most appropriate option:
A) 7
B) 5
C) 6
D) 4
E) 3

Solution: If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.   V - x = A + x --- (1)   If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.   V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)   From (1) we have V - A = 2x   Substituting V - A = 2x in (2)   6x = 30 => x = 5.   Answer: 5
Answer: B
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? Options.
A) 2:6	B) 2:3	C) 4:5	D) 2:1	E) 2:4

Solution: Let the ratio be k : 1. Then,   k * 16.3 + 1 * 15.4 = (k + 1) * 15.8   = (16.3 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.5 = 4/5   Required ratio = 4/5 : 1 = 4:5.   Answer:4:5
Answer: C
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choose the correct choice from the following options.
A) 228	B) 278	C) 289	D) 500	E) 821

Solution: P - 340 = (P*4*8)/100   P = 500   Answer: 500
Answer: D
By how much is 12% of 24.2 more than 10% of 14.2 ?  Select.
A) 0.1484 B) 14.84 C) 1.484 D) 2.762 E) None

Solution: Answer   Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100   = 2.904 -1.42   = 1.484.   1.484orrect Option: 1.484
Answer: C
In a certain population, there are 3 times as many people aged twenty or under as there are people over twenty. The ratio of those twenty or under to the total population is
Pick:	A) 1 to 2	B) 3 to 4	C) 1 to 4	D) 2 to 3	E) 3 to 5

Solution: Consider the ratio of the under population of 20 to over the 20 as 3:1   therefore 3x:1X   Now the ratio of the under to the whole population becomes 3x/3x+1x   = 3/4   Answer is 3 to 4
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices
A) 12/429  B) 12/429  C) 12/455  D) 12/419  E) 12/492

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (²12/455₁)(⁴12/455₂)/¹⁵12/455₃   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)   = 12/455   Answer: 12/455
Answer: C
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is?
Choose the correct choice from the following
A) 19 B) 10 C) 17 D) 18 E) 12

Solution: Let the cost price for the manufacturer be Rs. x. Then, 125% of 120% of 118% of x   = 30.09.   125/100 * 120/100 * 118/100 * x   = 3009/100   177/100 x = 3009/100 => x = 17   Answer:17
Answer: C
The average age of 19 boys and the class teacher is 16 years. If the ages of the class teacher and one of the boys are excluded, the average age reduces to 15 years. What is the age of the class teacher ?	Choose the correct choice from the following options:
A) 767
B) 26
C) 50
D) 88
E) 21

Solution: No. of Persons = 19 boys + 1 class teacher = 20   Average age of 20 people is 16 years.   Therefore, total age of 20 persons = 20 * 16= 
20 * 16 = 320
320 years ------ (A)   If the class teacher and one boy are excluded, then the average age is 15 years.   Therefore, total age of 18 boys= 18 * 15= 
18 * 15 = 270
270 years ------ (B)   Age of the class teacher and one boy= 320 – 270 = 50 years.   Data is inadequate as the relation between the ages of the boy and the teacher is not provided.   ANSWER: Data Inadequate   Explanation: 50
Answer: C
Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh. If they work together how many days will they need to finish the same amount of work?  Pick one:
A) 22/3 days
B) 9/3 days
C) 10/3 days
D) 11/3 days
E) 7/3 days

Solution: Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh.   So Rohan can finish a piece of work in 11 days.   days needed to finish the same amount of work = 1/(1/11+1/22)=22/3 days   22/3 daysNSWER:22/3 days
Answer: A
The average age of 19 students in a group is 17 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?  Choose the most appropriate option:
A) 36	B) 37	C) 38	D) cannot be determined	E) None of these

Solution: Age of the teacher = (20 × 18 – 19 × 17) years   = 37 years.   Answer 37
Answer: B
The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6. The true discount is
Pick one:
A) Rs.72 B) Rs.36 C) Rs.54 D) Rs.50 E) none

Solution: Solution   T.D	= [B.G x 100 / R x T]   = Rs.(6 x 100 / 12 x 1)   = Rs.50.   Answer Rs.50
Answer: D
A group of 6 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x? Select
A) x/18	B) x/35	C) 3x/70	D) 3x/10	E) 3x/7

Solution: cost of boat per day = x   cost per person =x/6   if three more persons afre there, cost =x/9   difference = x/6-x/9   =x/18   x/18ns x/18
Answer: A
A scale 6 ft. 8 inches long is divided into 5 equal parts. Find the length of each part. Choose the correct choice.
A) 20 inches B) 77 inches C) 16 inches D) 97 inches E) 66 inches

Solution: Explanation:   Total length of scale in inches = (6*12) + 8= 
(6*12) + 8 = 80
80 inches   Length of each of the 5 parts= 80/5= 
80/5 = 16
16 inches   ANSWER:16 inches
Answer: C
The average age of a group of 10 students was 20. The average age increased by 4 years when two new students joined the group. What is the average age of the two new students who joined the group? Choose the correct choice from the following options
A) 22 years  B) 30 years  C) 34 years  D) 44 years  E) None of these

Solution: The total age of 10 students with average 20 = 200   The total age of 12 students with average 24 = 288   The total age of 2 new students = 88   Their average =44   Correct Option 44 years
Answer: D
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
Choices
A) 31 days
B) 25 days
C) 27 days
D) 29 days
E) 19 days

Solution: If A takes x days to do a work then B takes 2x days to do the same work.   --> 1/x+1/2x = 1/18   --> 3/2x = 1/18   --> x = 27 days.   Hence, A alone can finish the work in 27 days.   Answer : 27 days.
Answer: C
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?	Pick
A) 2/5 B) 3/13 C) 4/19 D) 7/13 E) 6/19

Solution: Out of 52 cards there will be 26 red cards including 2 kings and 2 more kings. Total 28   probability= 28/52 = 7/13   Answer is 7/13
Answer: D
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct answer
A) 46%
B) 48%
C) 44%
D) 49%
E) 42%

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer: 44%
Answer: C
Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product? Choices:  A) 12000  B) 11000  C) 10000  D) 13000  E) 15000

Solution: The average price of 20 products is $1,200 means that the total price of 20 products is 20*1,200=$24,000.   Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $400 each (min possible).   Now, the remaining 9 items cannot be priced less than $1,000, thus the minimum possible price of each of these 9 items is $1,000.   Thus the minimum possible value of 19 products is 10*400+9*1,000=$13,000.   Therefore, the greatest possible selling price of the most expensive product is $24,000-$13,000=$11,000.   Answer: 11000.
Answer: B
Find the odd man out. 7, 14, 21, 28, 35, 50, 56	Answers.
A) 50  B) 25  C) 51  D) 90  E) 115

Solution: Explanation :   50ll except 50 are multiples of 7   50nswer : Option 50
Answer: A
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business? Choose the correct choice from the following answers.
A) Rs.7500
B) Rs.9000
C) Rs.9500
D) Rs.10,000
E) None

Solution: Solution   A : B : C	=(20000×24):(15000×24):(20000×18)   =4 :3 :3   B's share	=Rs.(25000×3/10)   = Rs.7500.   Rs.7500nswer Rs.7500
Answer: A
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Pick one
A) A)Rs.6,602.50
B) B)Rs.6,601.50
C) C)Rs.6,603.50
D) D)Rs.6,604.50
E) E)Rs.6,605.50

Solution: 20000(11/10)4 - 20000(6/5)2 = 6,602.50   Rs.6,602.50NSWER:Rs.6,602.50
Answer: A
How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic meter of iron? Choose the correct choice from the following
A) 150  B) 100  C) 250  D) 200  E) 400

Solution: Volume of 1 rod = (( 22/7) x (1/100) x (1/100) x 7 ) cu.m = 11/5000 cu.m   Volume of iron = 0.88 cu. m.   Number of rods = (0.88 x 5000/11) = 400.   Answer is 400
Answer: E
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 56,000 after completion of one year. What will be Madhu's share of profit? Options
A) Rs. 28,000 B) Rs. 24,000 C) Rs. 30,000 D) Rs. 36,000 E) None of these

Solution: 30,000 *12=45,000*8   1:1   Madhu's share=1/2*56,000   i.e. Rs. 28,000   Rs. 28,000NSWER:Rs. 28,000
Answer: A