MU-NLPC/Calc-aqua_rat huggingface dataset:
X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first?  Choose the correct choice from the following:
A) X
B) Y
C) Z
D) N
E) V

Solution: Whole work will be done by X in 10*4= 
10*4 = 40
40 days.   Whole work will be done by Y in   (40*100/40)= 
  (40*100/40) = 100
100 days.   Whole work will be done by Z in   (13*3)= 
  (13*3) = 39
39 days   Therefore, Z will complete the work first.   Answer : Z.
Answer: C
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum? Choose one: A) 8 B) 7 C) 6 D) 5 E) 4

Solution: [15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 96   15000[(1 + R/100)2 - 1 - 2R/100] = 96   15000[(100 + R)2 - 10000 - 200R]/10000 = 96   R2 = (96 * 2)/3= 
(96 * 2)/3 = 64
64=> R = 8   Rate = 8%.8nswer: 8
Answer: A
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second? Choose the correct choice from the following options:
A) 1100  B) 1134  C) 1349  D) 1430  E) 1490

Solution: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.   First + second = third => we can eliminate 3 & 9 since  3 + 9= 
 3 + 9 = 12
12.   Last is 3 times the second=> we can eliminate option 2 & 6 since  3 * 6= 
 3 * 6 = 18
18.   Hence the number is 1349   1349
Answer: C
In a particular 100 meter race, 8 athletes are participating that are numbered 1-8. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?  Choose the correct choice:
A) 14,540 B) 16,580 C) 18,920 D) 20,160 E) 24,320

Solution: The total number of ways for the athletes to finish is 8! = 40,320.   #4 will be ahead of #2 in exactly half of these possibilities.   40,320/2 = 20,160   The answer is 20,160.
Answer: D
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
A.
B.
C.
D.
E. Choose the correct option
A) 15/64
B) 30/64
C) 1/2
D) 1/4
E) 52/64

Solution: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64   Chosing 4 days out of 6 = 6!/(4!*2!) = 15   chances of rain on exactly 4 days out of 6 days = 15/64   15/64ns 15/64
Answer: A
The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit? Choose the correct option: A) 960 B) 1005 C) 1,200 D) 920 E) None of these

Solution: Let the profit or loss be x   and 892 – x = 448 + x or, x = 444⁄2 = 222   \ Cost price of the article = 892 – x = 448 + x = 670   \ SP of the article = 670 × 150⁄100 = 1005   Answer 1005
Answer: B
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers E are there between 6* + 2 and 6* + 6, inclusive?
Choose the most appropriate option.
A) None  B) One  C) Two  D) Three  E) Four

Solution: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.   Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes E in this range.   Nonenswer: None.
Answer: A
Seven people enter a race. There are 4 types of medals. Winner - platinum, runner up - gold, next two racers - silver and the last 3 - bronze. Ways to do it?  Choose the most appropriate option.
A) 7!/3!	B) 7!/2!3!	C) 1*1*2!*3!	D) 7*6*2!*3!	E) 7*6*5*4

Solution: let me take the approach adopted by you..   platinum-7 different people..   gold- remaining 6 different people..   silver- 2 out of remaining 5=5C2= 5!/2!3!...   bronze - 1 as all the three remaining are getting it..   total ways= 7*6*5!/2!3!=7!/2!3!.   ANS:7!/2!3!
Answer: B
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 60% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?	Choose the correct option
A) 7:15
B) 7:10
C) 7:8
D) 7:4
E) 7:2

Solution: First of all, let's consider 1 liter of the stuff he is going to sell --- naive customers think it's pure milk, but we know it's some milk-water mixture. He is going to sell this liter of milk-water for $36.   This $36 should be a 60% increase over cost. Here, we need to think about percentage increases as multipliers.   Using multipliers   (cost)*1.60 = $36   cost = 36/1.6= 
36/1.6 = 22.5
$22.5   If he wants a 60% increase over cost on the sale of one liter of his milk-water, the cost has to be $22.5   Well, a liter of milk costs $33, so if he is going to use just $30 of milk in his mixture, that's 22.5/33= 15/22 of a liter. If milk is 15/22 of the liter, then water is 7/22 of the liter, and the ratio of water to milk is 7:15. 7:15nswer choice(7:15)
Answer: A
The ratio between the number of sheep and the number of horses at the Stewart farm is 2 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm? Choose the correct choice from the following choices
A) 18  B) 16  C) 32  D) 56  E) 60

Solution: Let the number of sheeps and horses be 4x and 7x.   Now total number of horses = total consumption of horse food/consumption per horse = 12880/230= 
12880/230 = 56
56, which is equal to 7x.=> x = 8   Sheeps = 2x = 2*8= 
2*8 = 16
16. Hence 16
Answer: B
In a group of 90 people, 55 have visited Iceland and 33 have visited Norway. If 51 people have visited both Iceland and Norway, how many people have visited neither country?  Options
A) 50  B) 51  C) 52  D) 53  E) 54

Solution: This is an example of a standard Overlapping Sets question. It has no 'twists' to it, so you'll likely find using the Overlapping Sets Formula to be a fairly easy approach. If you're not familiar with it, then here is the Formula:   90= 55 + 33 - 51 + (# in Neither Group)   =53   The prompt gives you all of the numbers you need to get to the correct answer. Just plug in and solve.   53
Answer: D
What is the smallest positive integer x such that 280-x is the cube of a positive integer  Answers:  A) 5  B) 64  C) 62  D) 60  E) 12

Solution: Given 280-x is a perfect cube   so we will take 216= 6*6*6   280-x = 216   x =280-216= 
280-216 = 64
64   correct option is 64
Answer: B
If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 6 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?  Pick:
A) 20 B) 50 C) 40 D) 30 E) 60

Solution: Let x = total feed required for the planned period   n= number of chicken   t = total time of the planned feed   x = nt   1) x = (n-15) * (t+4)   2) x = (n+10) * (t-6)   equating 1&2   (n-15) * (t+4) = (n+10) * (t-6) or nt+4n-15t-60 =nt-6n+10t-60   10n = 25t   n =5/2 *t or t = 2n/5   x= n *2n/5   substituting this value in 1   n * 2n/5 = (n-15) * (2n/5+4)   2n = 60   n =30   30
Answer: D
A positive whole number has factors of 5 and 10. The number MUST be divisible by:
I. 10
II. 30
III. 60 Pick one.
A) I B) II C) I & II D) III E) I & III

Solution: 10 , 30 is not divisible by 60.But 60 is divisible by 5,10,30,60.   So answer is III   Answer : III
Answer: D
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,25,000 as total savings, how much has he saved in Public Provident Fund ?
Select the correct option:
A) 80000 B) 60000 C) 50000 D) 75000 E) 90000

Solution: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (125000 - x) respectively. Then,   =1/3 x = 1/2 (125000 - x)   =x/3 + x/2 = 62500   =5x/6 = 62500   =x = 62500 x 6 /5	= 75000   Savings in Public Provident Fund = Rs. (125000 - 75000) = Rs. 50000   Answer is 50000.
Answer: C
Of 70 players on a football team, 31 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose the correct answer
A) 57  B) 59  C) 63  D) 71  E) 92

Solution: Total = 70   Thrower = 31   Rest = 70 - 31= 
70 - 31 = 39
39   Left Handed= 39/3= 
39/3 = 13
13   Right handed= 26   If all Thrower are right handed then total right handed is   31 + 26= 
  31 + 26 = 57
57   so A. 57 is the right answer
Answer: A
There are 2 vessels A & B containing 25 liters each of pure milk and pure water respectively. 5 liters of milk from A is taken and poured into B , then 6 liters of mixture from B is taken and poured in A. What is ratio of water A and B respectively. Choose the correct answer:
A) 1:3  B) 1:4  C) 1:5  D) 1:6  E) 1:7

Solution: At first   A cotain Milk = 25 Water = 0   B cotain Milk = 00 Water = 25   5 litres of milk taken from A and poured in B then   A cotain Milk = 20 Water = 0   B cotain Milk = 5 Water = 25   6 litres(1 lit Milk & 5 lit Water) of mixture from B and poured in A.   So, Finally   A cotain Milk = 21 Water = 5   1:4 cotain Milk = 4 Water = 20   Ratio of water in A & 1:4 is 5:20 = 1:4   ANSWER:1:4
Answer: B
A certain number of men can finish a piece of work in 10 days. However, if there were 10 less men it will take 10 days more for the work to be finished. How many men were there originally?  Choose the correct choice:
A) 10 men
B) 30 men
C) 40 men
D) 20 men
E) none of these

Solution: Let x be the number of men originally   Thus, 10x=(10+10)(x-10)   10x=20(x-10)   x=2(x-10)   x = 20   ANSWER:20 men
Answer: D
A letter lock consists of two rings each marked with four different letters. The number of distinct unsuccessful attempts to open the lock is at the most ? Choose the correct choice from the following answers:
A) 17
B) 19
C) 15
D) 168
E) 167

Solution: Since each ring consists of four different letters, the total number of attempts possible with the two rings is   = 4*4= 
4*4 = 16
16. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 16 - 1= 
16 - 1 = 15
15.   Answer: 15
Answer: C
how many prime no. are there from 0 to 50?
Choose the correct choice from the following:
A) 14	B) 15	C) 16	D) 17	E) 19

Solution: we calculate it manually.we know the definition of prime no.prime no. should only have two distinctâ€‹ natural no. divisor 1 and itself.   note:1 is not a prime no.   2,3,5,7,11,13,17,19,23,29,31,37,41,43,47   total no.=15   answer 15
Answer: B
Boston is 4 hr ahead of Frankfurt and 2 hr behind India. X leaves Frankfurt at 6 p.m. on Friday and reaches Boston the next day. After waiting there for 2 hr, he leaves exactly at noon and reaches India at 1 a.m. On his return journey, he takes the same route as before, but halts at Boston for 1hr less than his previous halt there. He then proceeds to Frankfurt.
What is X's average speed for the entire journey (to and fro)?	Pick.
A) 176 mph  B) 180 mph  C) 165 mph  D) Data insufficient  E) None of these

Solution: Explanation :   X reaches Boston at 10 AM. At the same moment, time in Frankfurt is 6 AM. Hence, the journey time was 12 hours.   X reaches India at 1 AM. At the same moment, time in Boston is 11 PM. Hence, the journey time was 11 hours.   Waiting time = 2 hours.   So, total time = 12 + 2 + 11= 
12 + 2 + 11 = 25
25 hours.   Avg speed= 180 mph .   Answer : 180 mph
Answer: B
The height of a triangle is decreased by 5% and its base increased by 50%. Its area will
Pick
A) decrease by 12.5%  B) increase by 12.5%  C) decrease by 25%  D) Increase by 25%  E) Increase by 42.5%

Solution: Explanation :   Let the initial height be 100 and the base be 200 units.   âˆ´ Area = 1/2 x 100 x 200 = 10000sq units   Now, height = 95 units and base = 300 units   âˆ´ New area = 1/2 x 95 x 300 = 14250   âˆ´ Area is increased by (14250 - 10000)/10000 x 100   = 42.5%   Answer : Option Increase by 42.5%
Answer: E
If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?  Pick:
A) 75.56%
B) 66.66%
C) 70.05%
D) 80%
E) 85%

Solution: Excess of Q's height over P =(40/(100-40))*100   = => 66.66%   ANSWER 66.66%
Answer: B
Car A runs at the speed of 35 km/hr & reaches its destination in 10hr. Car B runs at the speed of 25 km/h & reaches its destination in 6h. What is the respective ratio of distances covered by Car A & Car B?
Pick.
A) 7 : 3
B) 5 : 7
C) 9 : 7
D) 3 : 5
E) 11 : 6

Solution: Sol. Distance travelled by Car 7 : 3 = 36 × 10 = 350 km   Distance travelled by Car B = 25 × 6 = 150 km   Ratio = 350/150 = 7 : 3   7 : 3
Answer: A
If a certain sample of data has a mean of 10.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?  Pick:
A) (5.0; 16.5)
B) (8.5; 21.0)
C) (14.0; 26.5)
D) (16.5; 26.0)
E) (21.0; 26.5)

Solution: 2.5 standard deviation equals to 2.5*2= 
2.5*2 = 5
5;   2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 5 to 15:   The correct answer choice must cover all this range: only answer choice A does this.   (5.0; 16.5)nswer:(5.0; 16.5).
Answer: A
A sum of money is distributed among w,x,y,z in the proportion of 4:2:5:3. If y gets $500 more than z, what is the x's share?  Select the correct option:
A) $4000 B) $500 C) $2500 D) $2800 E) $1400

Solution: Let the shares of w,x,y,z are 4a,2a,5a,3a   5a-3a = 500   2a = 500,a=250   x's share = 2a = $500   Answer is $500
Answer: B
In a group of 80 children and 30 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choose the correct choice from the following:
A) 1140
B) 1160
C) 1180
D) 1560
E) 1210

Solution: Number of sweets each child got = 15% of 80 = 15/100 * 80= 
15/100 * 80 = 12
12.   Number of sweets 80 children got= 80 * 12= 
80 * 12 = 960
960.   Number of sweets each youngster got= 25% of 80 = 25/100 * 80= 
25/100 * 80 = 20
20.   Number of sweets 10 youngsters got= 30 * 20= 
30 * 20 = 600
600.   Total number of sweets= 960 + 200 = 1560.   1560)
Answer: D
How many diagonals does a 63-sided convex polygon have? Choose one:	A) 1890	B) 1953	C) 3780	D) 3843	E) 3906

Solution: A 63-sided convex polygon has 63 vertices.   If we examine a single vertex, we can see that we can connect it with 60 other vertices to create a diagonal. NOTE: there are 60 options because we can't connect the vertex to ITSELF, and we can't connect it to its ADJACENT vertices, since this would not create a diagonal.   If each of the 63 vertices can be connected with 60 vertices to create a diagonal then...   ...the total number of diagonals = (63)(60) = 3780   HOWEVER, before we select answer choice C, we must recognize that we have counted every diagonal TWICE.   For example, we might connect vertex A with vertex F and count that as 1 diagonal, and at the same time we connect vertex F with vertex A and count that as 1 diagonal. Of course these diagonals are the SAME.   To account for counting each diagonal twice, we must divide 3780 by 2 to get: 1890   1890NSWER:1890
Answer: A
Which of the following is(are) true for a@b=b@a?
I. a@b=b+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)	Options.
A) only Ⅰ B) only Ⅱ C) only Ⅲ D) only ⅠⅢ E) only ⅡⅢ

Solution: -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (X).   If II. a@b=(a+b)(a-b), a@b=(a+b)(a-b)≠(b+a)/(b-a)=b@a (O).   If III.a@b=(a/b)+(b/a), a@b=(a/b)+(b/a)=(b/a)+(a/b)=b@a (O).   Thus, ⅠⅢ are the answers. Therefore, only Ⅰ is the answer.
Answer: A
♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠0.089 - ♠2.135 =	Select the correct option
A) 1.05
B) 1.04
C) -1.05
D) -2
E) -0.1

Solution: ♠0.089 - ♠2.135 =   0.1 - 2.1 = -2   Answer : -2
Answer: D
The simplified value of 1.2 + (1.2)2 + (1.2)3 is:	Choose one
A) 4.248  B) 4.368  C) 3.248  D) 3.368  E) 4.368

Solution: The expression is in geometric progression with a common ratio of 1.2. Formula to sum a geometric sequence is a(1-r^n)/1-r where a=r=1.2.Solving it we get the ans as 4.368   ANSWER:4.368
Answer: B
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for $1.15 cents, and Zachary buys a pencil and an eraser for 75 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.) Choose the correct choice from the following answers.
A) 325
B) 345
C) 365
D) 385
E) 405

Solution: pencil + notebook = 80   notebook + eraser = 115   pencil + eraser = 75   Let's add all three equations.   2 pencils + 2 notebooks + 2 erasers = 270 cents   The cost to buy 3 of each would be (3/2)(270) = 405   The answer is 405.
Answer: E
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.  Pick:  A) 70,000 square meters  B) 60,000 square meters  C) 50,000 square meters  D) 20,000 square meters  E) 30,000 square meters

Solution: Let us first find the distance d jogged   distance = rate* time = (12 km / hr) ? 30 minutes   = (12 km/hr) * 0.5 hr = 6 km   The distance of 6 km corresponds to 10 perimeters and therefore 1 perimeter is equal to   6 km / 10 = 0.6 km = 0.6 * 1000= 
0.6 * 1000 = 600
600 meters   Let L and W be the length and width of the field. The length is twice the width. Hence   L= 2 W   The perimeter is 600 meters and is given by   2 (L + W) = 600   Substitute L by 2 W   2 (2 W + W) = 600   Simplify and solve for W   4 W + 2 W = 600   6 W = 600   W = 100   Find L   L = 2 W = 200   Find the area A of the rectangle   A = L * W = 200 * 100 = 20,000 square meters   correct answer 20,000 square meters
Answer: D
How many times are the hands of a clock at right angles in a day? Choose the correct choice from the following options
A) 22	B) 44	C) 55	D) 888	E) 11

Solution: In 12 hours, they are at right angles 22 times.   ==> In 24 hours, they are at right angles 44 times.   Answer: Option '44'
Answer: B
A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 190 kilometers?	Pick:
A) 3.5 gallons B) 9.5 gallons C) 8.7 gallons D) 4.5 gallons E) 9.2 gallons

Solution: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 180 kilometers?   180 Ã· 40 = 9.5 Ã— 1 gallon = 9.5 gallons   correct answer is 9.5 gallons) 9.5 gallons
Answer: B
Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds	Choose the correct choice from the following answers.
A) 56
B) 48
C) 47
D) 26
E) 25

Solution: Explanation:   Relative speed = 60+90= 
60+90 = 150
150 km/hr (Since both trains are moving in opposite directions)   Total distance= 1.1+.9= 
1.1+.9 = 2
2km   Time= 2/150 hr = 1//75 hr = 3600/75 seconds = 1200/25 = 240/5= 
240/5 = 48
48 seconds   Answer: Option 48
Answer: B
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336  Choose the correct choice from the following choices.
A) 3  B) 4  C) 6  D) 7  E) 8

Solution: 132 = 4 x 3 x 11   So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.   264 11,3,4 (/)   396 11,3,4 (/)   462 11,3 (X)   792 11,3,4 (/)   968 11,4 (X)   2178 11,3 (X)   5184 3,4 (X)   6336 11,3,4 (/)   Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.   Required number of number = 4.   4)
Answer: B
If x and y are unique prime integers, which of the following must be even?	Choose the correct choice from the following answers
A) x−y  B) x−2y  C) 2x−2y  D) 2x−y  E) xy^2

Solution: Any number multiplied by 2 has to be an even number   Answer 2x−2y
Answer: C
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?  Pick
A) 1:2
B) 1:6
C) 1:9
D) 1:3
E) 1:1

Solution: T = 192/32= 
192/32 = 6
6 h   T= 6 - 3= 
6 - 3 = 3
3   Time Ratio= 6:3 = 2:1   Speed Ratio = 1:2.1:2nswer: 1:2
Answer: A
What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?  Choose the correct option:
A) 0%  B) 20% increase  C) 36% decrease  D) 1% decrease  E) Insufficient data

Solution: (16/10)*(4/10) = 64/100 of original area   64/100 is a 36% decrease from 100/100 ->36% decrease
Answer: C
Which of the following could be the sides of an obtuse angled triangle? all values are in degree only
I. 51, 29, 100
II. 10,110, 60
III. 20, 30, 50
Select.
A) I and III only B) II only C) I and II only D) I E) I, II and III

Solution: obtuse angled triangle means one angle more than 90 deg and total 180 deg.. I and II only   HENI and II onlyE, (I and II only)
Answer: C
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 213.28, what is value of J?
Choose the correct option:
A) 30  B) 35  C) 40  D) 50  E) 60

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 213.28   Here 213 is the quotient.   Given that Remainder = 14   So, 213.28 = 213 + 14/J   So, J = 50
Answer: D
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Select the correct option:
A) 120
B) 125
C) 115
D) 110
E) 111

Solution: 4x 5x 6x   100 50 25   400x + 350x + 150x = 16000   x = 20   6x = 120   120NSWER 120
Answer: A
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is? Choose the correct choice from the following:
A) 1:5  B) 6:5  C) 4:5  D) 9:5  E) 8:5

Solution: 6:5   6:5   5M + 126:5 ----- 4 days   7M + 66:5 ------- 5 days   20M + 486:5 = 35M + 306:5   186:5 = 15M => 5M = 66:5   M: 6:5 = 6:5
Answer: B
Ramu and Shamu invested in a shop. The profits were divided in the ratio of 4 : 4 respectively. If Ramu invested Rs. 35,500, the amount invested by Shamu is:
Choose the correct answer:	A) 35000	B) 40000	C) 45000	D) 35500	E) None

Solution: Suppose Shamu invested Rs. y. Then, 35500/y =4/4 or y = [35500 x 4 / 4] = 35500.   Answer 35500
Answer: D
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is? Choose the correct choice from the following answers:  A) Rs. 3096  B) Rs. 4076  C) Rs. 4085  D) Rs. 4096  E) Rs. 5023

Solution: Explanation:   Principal = [4913 / (1 + 25/(4 * 100))3]   = 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.   ANSWER IS Rs. 4096
Answer: D
If Nancy's income is Rs 17000, calculate his savings given that his income and expenditure are in the ratio 5:3.? Choices:	A) Rs.3800	B) Rs.1800	C) Rs.6800	D) Rs.7800	E) Rs.2800

Solution: Let the income and the expenditure of the person be Rs.5x and Rs.3x respectively.   Income, 5x = 17000 => x = 3400   Savings = Income - expenditure = 5x - 3x =2x   So, savings 5  - 3= 
5  - 3 = 2
2x   So, savings= Rs.6800   Answer: Rs.6800
Answer: C