MU-NLPC/Calc-aqua_rat huggingface dataset:
Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long T would it take Victor to complete 10 jobs without any supervision? Pick: A) 34 B) 52 C) 60 D) 70 E) 92

Solution: Rate when supervised = (job)/(time) = 1/t.   Rate when unsupervised = (job)/(time) = 1/(t+3).   For  144/2= 
 144/2 = 72
72 days he is supervised and for  144/2= 
 144/2 = 72
72 days he is unsupervised and does 36 jobs:   72/t + 72/(t+3)= 36 --> t=3 days --> t+3 = 6 days.   Victor to complete 10 jobs without any supervision will need T 10(t + 3) = 60 days.   Answer: 60.
Answer: C
how many three digit number are thre in which if one digit is 3 then it must be follwed by 7 . repetetion is not allowed
Pick:
A) 466  B) 463  C) 14  D) 17  E) 18

Solution: 1st case: three digits no without considering 3   first place can be filled using 8 numbers (excluding 0 and 3)=8   second place can be filled using 8 numbers (excluding 3 and digit filled in first place)=8   last place can be filled using 7 numbers (excluding 3 and digit filled in first place & second place)=7   therefore, three digits formed are= 8*8*7= 
8*8*7 = 448
448   2nd case: now consider number using 3   if 3 and 7 are first two digit then last digit can be filled using 8 digits   if 3 and 7 are last two digits then first place can be filled using 7 digits   therefore, total 3 digit no including 3 are= 8+7= 
8+7 = 15
15   hence, total 3 digits numbers are= 448+15= 
448+15 = 463
463   ANSWER:463
Answer: B
There are two inlets and one outlet to a cistern. One of the inlets takes 5/2 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 9:00 AM with the cistern completely empty, and at 10:00AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?  Pick one
A) 2 hours  B) 2.5 hours  C) 3 hours  D) 3.5 hours  E) 5 hours

Solution: The combined inflow rate of the two inlets is 2/5 + 1/5 =3/5 cistern/hour. Thus, working together, it takes 5/3 hours (time is reciprocal of rate) to fill the cistern.   From 9:00 AM to 10:00 AM, so in 1 hour, the inlet pipes will fill (time)*(rate) = 1*3/5 = 3/5 th of the cistern .   Then the outlet is turned on and the remaining 2/5 th of the cistern is filled in 1 hour.   Letting x to be the rate of the outlet, we would have: 3/5 - x = 2/5 --> x = 1/5 cistern/hour, which means that it takes 5 hours the outlet working alone to empty the cistern.   Answer: 5 hours.
Answer: E
If 5% more is gained by selling an article for Rs. 420 than by selling it for Rs. 380, the cost of the article is?  Pick one:
A) 500 B) 688 C) 200 D) 121 E) 800

Solution: Let C.P. be Rs. x.   Then, 5% of x = 420 - 380= 
420 - 380 = 40
40   x/20= 40 => x = 800   Answer: 800
Answer: E
In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many D different victory circles are possible? Choose the most appropriate option
A) 24
B) 52
C) 96
D) 144
E) 648

Solution: Possible scenarios are:   1. Gold/Silver/Bronze /No medal (no ties) - 4!=24;   2. Gold/Gold/Silver/No medal - 4!/2!=12;   3. Gold/Silver/Silver/No medal - 4!/2!=12;   4. Gold/Gold/Gold/No medal - 4!/3!=4.   Total:  24+12+12+4= 
 24+12+12+4 = 52
52   Answer: 52.
Answer: B
A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?  Choose the correct choice from the following answers:  A) 79.2 km/hr  B) 69 km/hr  C) 74 km/hr  D) 61 km/hr  E) none of these

Solution: Let x is the length of the train and v is the speed   Time taken to move the post = 8 s   => x/v = 8   => x = 8v --- (1)   Time taken to cross the platform 264 m long = 20 s   (x + 264)/v = 20   => x + 264 = 20v ---(2)   Substituting equation 1 in equation 2, we get   8v +264 = 20v   => v = 264/12= 
264/12 = 22
22 m/s= 22 × 36/10 km/hr = 79.2 km/hr   ANSWER:69 km/hr
Answer: B
Diana is painting statues. She has 1/2 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?	Select the correct option.
A) 8  B) 20  C) 28  D) 14  E) 19

Solution: number of statues=all the paint÷amount used per statue   =1/2 ÷ 1/16   =8/16*16/1= 
8/16*16/1 = 8
8/1= 
8/1 = 8
8   8nswer is 8.
Answer: A
If 50% of x is 25 less than 25% of 2500, then x is?  Choose the correct choice from the following choices
A) 1880  B) 2160  C) 1200  D) 8400  E) 1210

Solution: 50% of x = x/2 ; 25% of 2500 = 25/100 * 2500= 
25/100 * 2500 = 625
625   Given that, x/2= 625 - 25 => x/2 = 600 => x = 1200.   Answer: 1200
Answer: C
The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally? Pick one
A) 40  B) 36  C) 25  D) None of these  E) Cannot be determined

Solution: Explanation :   Since, thief escaped with 1 diamond,   Before 3rd watchman, he had ( 1 + 2 ) x 2 = 6 diamonds.   Before 2nd watchman, he had ( 6 + 2 ) x 2 = 16 diamonds.   Before 1st watchman, he had ( 16 + 2 ) x 2 = 36 diamonds.   Answer : 36
Answer: B
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ?
Options
A) 360 m	B) 420 m	C) 460 m	D) 320 m	E) 380 m

Solution: Explanation:   Let the length of the stationary train Y be LY   Given that length of train X, LX = 300 m   Let the speed of Train X be V.   Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.   => 300/V = 25 ---> ( 1 )   (300 + LY) / V = 60 ---> ( 2 )   From (1) V = 300/25= 
300/25 = 12
12 m/sec.   From (2) (300 + LY)/12= 60   => 300 + LY = 60 (12) = 720   => LY = 720 - 300= 
720 - 300 = 420
420 m   Length of the stationary train= 420 m   ANSWER IS 420 m
Answer: B
Find the highest common factor of 36 and 84.  Choose the correct choice from the following options.
A) 4  B) 6  C) 12  D) 18  E) 19

Solution: 36 = 22 x 32   84 = 22 x 3 x 7   H.C.F. = 22 x 3 = 12.   Answer: Option 12
Answer: C
During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?	Choose one.
A) 10%
B) 15%
C) 20%
D) 25%
E) 30%

Solution: 4/10 of all the vehicles were not rented.   (3/5)(3/5) = 9/25 of all the vehicles are 4WDs that were not rented.   (9/25) / (4/10) = 9/10 is the fraction of non-rented vehicles that were 4WDs   1 - 9/10 = 10% of non-rented vehicles were not 4WDs.   The answer is 10%.
Answer: A
Two dice are rolled. What is the probability the sum will be greater than 4?	Choose the correct choice from the following.
A) 1/9.	B) 1/12.	C) 5/36.	D) 7/18.	E) 1/5.

Solution: Combinations possible: (6,6) , (5,6) , (6,5), (4,6), (6,4) , (5,5) , (5,4), (4,5), (4,4), (4,3) , (3,4), (3,3) , (3,2), (2,3) = 14   Total combinations possible:   6*6= 
  6*6 = 36
36   Answer= 14/36 = 7/18 Option 7/18..
Answer: D
What is the 8th term in this sequence?
1,2,3,10,18,28,51	Choose the correct choice from the following:
A) 84
B) 37
C) 89
D) 90
E) 78

Solution: 1+2= 
1+2 = 3
3 +0= 
3 +0 = 3
3   3+2= 
3+2 = 5
5+5= 
5+5 = 10
10   10+3= 
10+3 = 13
13+5= 
13+5 = 18
18   18+10= 
18+10 = 28
28+0= 
28+0 = 28
28   28+18= 
28+18 = 46
46+5= 
46+5 = 51
51   51+28= 
51+28 = 79
79+5= 
79+5 = 84
84   so 8th term is 84   84NSWER:84
Answer: A
Percentage of profit earned by selling a book for $2200 is equal to the percentage loss incurred by selling the same book for $1800. What price should the book be sold to make 25% profit? Choose the most appropriate option.
A) $2250
B) $2100
C) $2500
D) $2700
E) $3000

Solution: Let C.P. be Rs. x.   Then,(2200 - x)	x 100 =(x - 1800)x 100   2200 - x = x - 1800   2x = 4000   x = 2000   Required S.P. = 125% of Rs. 2000 = 1.25x 2000 = $2500   Answer : $2500
Answer: C
The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability M that 3 of Sam’s 4 funds grew by at least 10% over last year? Choose one.
A) 6C3 / 10C4
B) 6C3 * 4C1 / 10C4
C) 6C3 * 4C1 / 10P4
D) 6P3 * 4P1 / 10C4
E) 6P3 * 4P1 / 10P4

Solution: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.   We know this is a combination, not a permutation. This rules out choices C, DE.   A clearly isn't the answer because M 6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.   6C3 * 4C1 / 10C4 it is.
Answer: B
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 18 seconds. What is the length of each train (in meters)?  Choose the most appropriate option
A) 20  B) 25  C) 35  D) 50  E) 65

Solution: The relative speed = 46 - 36= 
46 - 36 = 10
10 km/hr= 10 * 5/18 = 25/9 m/s   In 18 seconds, the relative difference in distance traveled is  18 * 25/9= 
 18 * 25/9 = 50
50 meters   This distance is twice the length of each train.   The length of each train is  50/2= 
 50/2 = 25
25 meters   The answer is 25.
Answer: B
If taxi fares were $3.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 4-mile ride was
Choose the correct answer
A) $6.80  B) $6.50  C) $16.80  D) $6.85  E) $61.80

Solution: In 4 miles , initial 1/5 mile charge is $3   rest of the distance = 4 - (1/5) = 19/5   rest of the distance charge = 19(0.2) = $3.8 (as the charge is 0.2 for every 1/5 mile)   => total charge for 4 miles = 3+3.8= 
3+3.8 = 6.8
6.8   $6.80nswer is $6.80
Answer: A
1/3 -2/5+1/2 - 5/6 + 1/5 + 1/4 - 9/20 = Options.
A) 0	B) 2/15	C) 2/5	D) 9/20	E) 5/6

Solution: We need to determine the result of 1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20   Let’s add the given fractions in two groups. In the group of the first three fractions, notice that1/3 and 1/2 share a common denominator of 6 with 5/6.   1/2 + 1/3 = 3/6 + 2/6 = 5/6   Thus, 5/6 – 5/6 = 0   Looking at the 2nd group of the fractions (1/5, 1/4, and 9/20), notice that1/5 and 1/4 share a common denominator of 20 with 9/20.   1/5 + 1/4 = 4/20 + 5/20 = 9/20   Thus, 9/20 – 9/20 = 0.   Thus, the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20 is 2/5.   Answer: 2/5
Answer: C
How many ways are there to award a gold, silver, bronze and platinum medal to 10 contending teams?
Select the correct option:
A) 10 × 9 × 8  B) 10!/(3!7!)  C) 10!/3!  D) 10!7  E) 10 * 9 * 8 * 7

Solution: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 10 ways   if gold medal is given to 1 of the teams then only possible 9 teams can be considered for silver medal. we can do selection in 9 ways   similarly if gold and silver medals are awarded then only remaining 8 teams can be considered for a bronze medal. we can do the selection in 8 ways   similarly if gold and silver medals are awarded then only remaining 7 teams can be considered for a bronze medal. we can do the selection in 7 ways   Total number of ways to select the 4 possible medal winners = 10 * 9 * 8 * 7   Correct answer - 10 * 9 * 8 * 7
Answer: E
How many numbers amongst the numbers 28 to 42 are there which are exactly divisible by 7 but not by 5? Answers:  A) Nil  B) 1  C) 2  D) 3  E) More than 3

Solution: 28,35,42 are divisible by 7.   35 is divisible by 5 also.   So there are 2 numbers exactly divisible by 7 but not by 5   ANSWER:2
Answer: C
Ram and Shyam distribute some coins amongst them in the ratio 4:5. If Ram steals 3 coins from Shyam, the ratio of coins they have becomes 5:4. How many coins did they distribute initially?  Choose the correct choice from the following answers
A) 81
B) 27
C) 15
D) 12
E) 3

Solution: Initially, the ratio of coins with Ram and Shyam was 4:5. So, let 4x be the number of coins with Ram and 5x be the number of coins with Shyam, making a total of 9x coins.   If Ram steals 3 coins from Shyam, Ram will have 4x + 3 coins and Shyam will have 5x -3 coins. The new ratio of the coins with them is given to be 5 : 4.   This means,   (4x+3)/(5x-3) = 5/4   Solving this equation we get, x = 3.   So the total number of coins they distributed originally was 9x = 9 times 3 = 27.   Ans 27
Answer: B
The price of an item is discounted 4 percent on day 1 of a sale. On day 2, the item is discounted another 4 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Select:
A) 82.5%  B) 89.9%  C) 87.7%  D) 86.4%  E) 83.3%

Solution: Let initial price be 100   Price in day 1 after 4% discount = 96   Price in day 2 after 4% discount = 92.16   Price in day 3 after 10% discount = 82.94   So, Price in day 3 as percentage of the sale price on day 1 will be = 82.94/96*100 => 86.4%   Answer will definitely be (86.4%)
Answer: D
What is the principal sum?
I.The sum amounts to Rs. 690 in 3 years at S.I.
II.The sum amounts to Rs. 750 in 5 years at S.I.
III.The rate of interest is 5% p.a.  Choose the correct choice from the following answers: A) I and III only B) II and III only C) I and II only D) I and III only, or II and III only E) Any two of the three

Solution: Explanation:   Clearly, any of the three will give us the answer.   answer is (Any two of the three).
Answer: E
A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 5,000 meters of fabric?
Pick one:
A) $8280
B) $8520
C) $8710
D) $8930
E) $9640

Solution: For first 2000 meters he does not get any discount.   The price is  2*2000= 
 2*2000 = 4_000
$4000   For next 1500 meters, he gets a 5% discount.   The price is  1.9*1500= 
 1.9*1500 = 2_850
$2850   For the next 1500 meters, he gets a 7% discount.   The price is  1.86*1500= 
 1.86*1500 = 2_790
$2790   The total price is $4000 + $2850 + $2790 = $9640   The answer is $9640.  4000 +  2850 +  2790= 
  4000 +  2850 +  2790 = 9_640
$9640   The answer is $9640.
Answer: E
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?	Choose one
A) 150  B) 160  C) 170  D) 180  E) 190

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   150nswer: Option 150
Answer: A
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?	Select
A) 52.5	B) 52.9	C) 52.1	D) 52.3	E) 42.5

Solution: Sum of the marks for the class of 30 students = 30 * 40= 
30 * 40 = 1_200
1200   Sum of the marks for the class of 50 students= 50 * 60= 
50 * 60 = 3_000
3000   Sum of the marks for the class of 80 students=   1200 + 3000= 
1200 + 3000 = 4_200
4200   52.5verage marks of all the students= 4200/80= 
4200/80 = 105/2 = around 52.5
52.5   52.5nswer:52.5
Answer: A
A table is bought for Rs.400/- and sold at Rs.450/- find gain or loss percentage	Choose the correct choice:	A) 10%loss	B) 12.5%gain	C) 10%gain	D) 15%loss	E) 20% loss

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (450 - 400)/400 = 12.5% gain   12.5%gain
Answer: B
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams A could be selected from the eight candidates?	Choose the correct choice from the following answers.
A) 56
B) 120
C) 210
D) 1120
E) 6720

Solution: If an executive team is considered different if any of the same people hold different offices,....   so you will not have answer as 6720..   president could be by any of 8 person..   treasurer could be any out of remaining 7 person..   remaining three order does not matter, so we have to choose 3 out of 6=6c3=20..   total ways A= 8*7*20=1120..   ans 1120...
Answer: D
Ram works in a bakery. He made cookies that cost $1.75 and made $325. How many customer did he have? Choose the correct choice from the following options:
A) 200 customers  B) 186 customers  C) 250 customers  D) 100customers  E) 170 customers

Solution: A cookie costs $1.75 adding another one is $3.5. 325 divided by 3.5 is 92.86 x 2 is 186. He had 186 customers. The correct answer is 186 customers.
Answer: B
George went to a fruit market with certain amount of money. With this money he can buy either 40 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?	Choose the correct option:
A) 25	B) 30	C) 20	D) 16	E) 12

Solution: Let the amount of money be 200   Let cost of 1 Orange be 4   Let cost of 1 mango be 4   He decides to retain 10% of 200 = 20 for taxi fare, so he is left with 180   He buys 20 mangoes ( @ 4) so he spends 80   Money left is 100(180 - 80)   No of oranges he can buy = 100/4= 
100/4 = 25
>25   So, George can buy 25 Oranges.   25
Answer: A
If e is a positive integer and 10^e – 74 in decimal notation has digits whose sum is 440, what is the value of e? Choose the correct option
A) 40  B) 44  C) 45  D) 46  E) 50

Solution: Answer E = 50   We have (10^e)-74, where the sum of the digits is 440.   100-74= 
100-74 = 26
26, so we already have   2+6= 
  2+6 = 8
8 from the 440.   Because we have a power of 10, we will have numbers like 100, 1000, 10000 and so on. This minus 74 rests 26 and a lot of 9s. E.g: 1000-74= 9926.   So dividing the  432/9= 
 432/9 = 48
48, that`s the number of 9s. and we have 2 other numbers (2 and 6) wich were 00 before the subtraction.   So we have   48 + 2= 
  48 + 2 = 50
50
Answer: E
There is a 1 km long wire placed on some number of poles which are in equal distance. If the number of poles is reduced by 1 then the distance of wire between each poles
increases 1(2/3).How many poles are there initially.	Choose the most appropriate option
A) 24 B) 25 C) 26 D) 27 E) 28

Solution: 26   ANSWER:26
Answer: C
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Choose the correct choice from the following options
A) 5/3  B) 7/4  C) 9/5  D) 11/6  E) 13/7

Solution: The time it takes printer X is 12 hours.   The combined rate of Y and Z is 1/10 + 1/20 = 3/20   The time it takes Y and Z is 20/3   The ratio of times is 12 / (20/3) = 3*12/20 = 9/5   The answer is 9/5.
Answer: C
Julian owes his classmate Jenny 20 dollars. If he borrows 8 dollars how much will he owe her? Select the correct option
A) 28	B) 12	C) -28	D) 12	E) 0

Solution: Add how he has already borrowed and how much he is going to borrow   -20+-8   correct answer -28)-28
Answer: C
Last year a certain bond price with a face value of 5000 yielded 10% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?	Pick.
A) 7692
B) 5325
C) 5351
D) 6000
E) 6154

Solution: Interest = 0.08*5000 = 0.065*selling price --> selling price = 0.1*5000/0.065 --> selling price = ~7692   7692nswer: 7692.
Answer: A
A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied. Answers.
A) 130 B) 132 C) 134 D) 136 E) 138

Solution: Let the required number be x. Then,   43x – 34x = 1224 or 9x = 1224 or x = 136.   Required number = 136.   ANSWER:136
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long? Options.
A) 29	B) 89	C) 77	D) 55	E) 12

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.Answer:89
Answer: B
The probability that A speaks truth is 3/5 and that of B speaking truth is 5/7. What is the probability that they agree in stating the same fact?  Choose the correct choice from the following answers.
A) 19/35  B) 19/39  C) 19/36  D) 19/33  E) 19/32

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 5/7 + 2/5 * 2/7   = 15/35 + 4/35 = 19/35   19/35nswer: 19/35
Answer: A
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?  Choose the correct choice from the following options
A) 266
B) 350
C) 327
D) 267
E) 256

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   Answer:350
Answer: B
In how many ways letters of the word HAPPY be arranged?	Choose one.
A) 10  B) 60  C) 120  D) 25  E) 40

Solution: HAPPY has 5 letters, out of which P repeated 2 times Hence total ways = 5! / 2!= 60 ways   60
Answer: B
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.23000, my total savings for the two-year is  Select:
A) s. 8000 B) s. 9000 C) s. 9900 D) s. 9990 E) s. 10000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (23000 + 35000)   = 66000 - 58000 = Rs. 8000   s. 8000
Answer: A
In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.25 as old as Robert? Choose the correct choice from the following choices:  A) 1960  B) 1965  C) 1970  D) 2050  E) 2060

Solution: In 1950: Ri = 4 Ro -------------- eq1   In 1955: Ri +5 = 3(Ro+5)---------eq2   Thus in 1950, solving eq1 and eq2   Ro= 10 , Ri =40   Now for each year we can calculate:   1960: Ri = 50 , Ro =20   1965: Ri= 55, Ro=25   2060: Ri= 120, Ro = 150   Thus Ans:2060
Answer: E
A is twice as good a work man as B and together they finish the work in 10 days. In how many days A alone can finish the work?  Select the correct option
A) 23
B) 15
C) 77
D) 92
E) 61

Solution: WC = 2:1   2x + x = 1/10 => x = 1/30   2x = 1/15   A can do the work in 15 days.   Answer: 15
Answer: B