mathewhe/aqua_rat huggingface dataset:
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is six times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
(A) 1:1
(B) 2:3
(C) 3:2
(D) 9:4
(E) 54:8
Rationale: Water:soap = 3:2
Soap:Salt=18:2
=> For 18 soap, salt = 2
=> For 2 Soap, salt = (2/18)*2 = 2/9
So, water:soap:salt = 3:2:2/9 = 54:36:4
After open container, water:soap:salt = 27:36:4
So, water:salt = 27:4 = 54:8
E
Answer: (E) 54:8
Question: In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
(A) V and U
(B) V and T
(C) U and S
(D) T and S
(E) T and U
Rationale: T and S should serve on A
ANSWER:D
Answer: (D) T and S
Question: An unbiased die is tossed. Find the probability of getting a multiple of 6
(A) A)1/6
(B) B)2/5
(C) C)1/4
(D) D)2/3
(E) E)3/7
Rationale: Here S = {1,2,3,4,5,6}
E = event of getting a multiple of 3
E = {6}
P(E) = 1/6
Answer is A
Answer: (A) A)1/6
Question: Ravish has to secure 40% marks to clear his board exam of class 10th.
He got 40 marks and failed by 40 marks.
What is the maximum marks ?
(A) 150
(B) 135
(C) 160
(D) 200
(E) 155
Rationale: D
200
To pass the exam ravish needs 40 + 40 = 80 marks.
=> (80/40) *100 = 200
Answer: (D) 200
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/7 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 7/10
(B) 2/5
(C) 3/5
(D) 4/5
(E) 5/8
Rationale: Method: X = No. of boxes loaded by day crew.
Boxes by night crew = 3/4 * 4/7 X = 3/7 X
% loaded by day crew = X/(X + 3/7X) = 7/10
Answer A
Answer: (A) 7/10
Question: In the new budget, the price of rice rose by 20%. By how much percent must a common man reduce his consumption so that his expenditure on it does not increase?
(A) 16.66%
(B) 17%
(C) 15.8%
(D) 12%
(E) None of these
Rationale: Explanation :
Solution: reduction in consumption = [r/(100+r) * 100]% = (20/120 * 100) = 16.66%
Answer : A
Answer: (A) 16.66%
Question: A tank contains 8,000 gallons of a solution that is 4 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
(A)  3.40%
(B)  4.40%
(C)  5.40%
(D)  6.40%
(E)  7.40%
Rationale: We start with 8,000 gallons of a solution that is 4% sodium chloride by volume. This means that there are 0.04 x 8,000 = 320 gallons of sodium chloride.
When 3,000 gallons of water evaporate we are left with 5,000 gallons of solution. From here we can determine what percent of the 5,000 gallon solution is sodium chloride.
(sodium chloride/total solution) x 100 = ?
(320/5,000) x 100 = ?
0.064 x 100 = ?
= 6.4%
Answer is D.
Answer: (D)  6.40%
Question: A and B start a business with Rs.3000 and Rs.9000 respectively. Hoe should they share their profits at the end of one year?
(A) 3:5
(B) 1:5
(C) 1:3
(D) 3:1
(E) 3:2
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
3000 : 9000 => 1:3,Answer: C
Answer: (C) 1:3
Question: Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
(A) 11 : 6
(B) 12 : 7
(C) 13 : 7
(D) 15 : 6
(E) 65 : 56
Rationale: Sol. Distance travelled by Car A = 65 Ã— 5 = 325 km
Distance travelled by Car B = 70 Ã— 4 = 280 km
Ratio = 325/280 = 65 : 56
E
Answer: (E) 65 : 56
Question: What is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
(A) 3: 8
(B) 3: 6
(C) 3: 7
(D) 7: 1
(E) 3: 3
Rationale: d = 7d d = d
a√2 = 7d a√2 = d
a = 7d/√2 a = d/√2 => 7: 1
Answer:D
Answer: (D) 7: 1
Question: Its a very poor village so sahara group organized a beneficiary cricket match for these people.
The event raised Rs300000.
Tickets were priced as follows:
Rs 748 for males
Rs 712 for ladies
Rs 45 for kids
How many males,ladies and kids were there ?
(A) 100 males , 209 ladies & 52 kids
(B) 120 males , 359 ladies & 72 kids
(C) 149 males , 259 ladies & 92 kids
(D) 150 males , 256 ladies & 92 kids
(E) 135 males , 259 ladies & 50 kids
Rationale: C
149 males , 259 ladies & 92 kids
Answer: (C) 149 males , 259 ladies & 92 kids
Question: At what rate percent on simple interest will Rs.750 amount to Rs.1200 in 5 years?
(A) 12
(B) 3
(C) 14
(D) 5
(E) 6
Rationale: 450 = (750*5*R)/100
R = 12%.Answer: A
Answer: (A) 12
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?
(A) 38
(B) 39
(C) 40
(D) 41
(E) 42
Rationale: For example: as units digit of 350 is zero then # of terms must be multiple of 10. Only answer choice which is multiple of 10 is C (40).
To illustrate consider adding:
*7
*7
...
77
77
----
=350
So, several 7's and several 77's, note that the # of rows equals to the # of terms. Now, to get 0 for the units digit of the sum the # of rows (# of terms) must be multiple of 10. Only answer choice which is multiple of 10 is C (40).
Answer: C.
Answer: (C) 40
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 4 of their friends to play with them. There are 36 marbles in the bag. If all 6 people are playing, how many marbles does each person get?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Answer= D
36 / 6 = 6
Answer= D
Answer: (D) 6
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
(A) 12
(B) 13
(C) 11
(D) 10
(E) None of these
Rationale: Explanation:
Part of the filled by all the three pipes in one minute
= 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10
So, the tank becomes full in 10 minutes.
ANSWER IS D
Answer: (D) 10
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
(A) 57.5 km/hr.
(B) 77.5 km/hr.
(C) 87.5 km/hr.
(D) 97.5 km/hr.
(E) 37.5 km/hr.
Rationale: C
87.5 km/hr.
Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = 400/4 = 100
Let the speed of two trains be 7x and 8x km/hr.
--> x = 100/8 = 12.5
--> Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.
Answer: (C) 87.5 km/hr.
Question: (1^2+2^2+3^2+.....+9^2)=?
(A) 330
(B) 285
(C) 365
(D) 385
(E) None of them
Rationale: formula is (1^2+2^2+3^2+....+n^2=1/6 n(n+1)(2n+1)
n=9
=(1/6x9x10x19)
=285
Answer is B.
Answer: (B) 285
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 24km/hr, then find the area of square field.
(A) 125
(B) 225
(C) 256
(D) 425
(E) None of these
Rationale: Explanation :
D = 24*3/2 = 36 km. So side of square is 16km, so area – 256km^2
Answer – C
Answer: (C) 256
Question: Jill has 7 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
(A) 3
(B) 6
(C) 9
(D) 12
(E) 14
Rationale: Let the number of each size of jar = wthen 1/4w + 1/2w + w = 7 1 3/4w = 7w=4The total number of jars = 3w =12Answer: D
Answer: (D) 12
Question: When a certain number X is divided by 95, the remainder is 31. What is the remainder when X is divided by 19?
(A) 10
(B) 11
(C) 12
(D) 15
(E) 17
Rationale: Let possible value of x is 126
least possible value of x/19 is 126/19 =>6 quotient with remainder 12
Thus answer is (C) 12
Answer: (C) 12
Question: The lowest number which should be added to 5915 so that the sum is exactly divisible by 3, 5, 8 and 7 is:
(A) 705
(B) 825
(C) 805
(D) 905
(E) 810
Rationale: L.C.M. of 3, 5, 8 and 7= 840.
On dividing 5915 by 840, the remainder is 35.
Number to be added = (840 - 35) = 805. Answer: Option 'C'
Answer: (C) 805
Question: (166)^2 - (167)^2 =
(A) 1
(B) 100
(C) 229
(D) 329
(E) 335
Rationale: Using the formula:
(a+1)^2 - a^2 = 2a+1
So, Answer = 167*2 + 1
= 334+1 = 335 = Answer = E
Answer: (E) 335
Question: Ajay spends 20 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
(A) Rs.60000
(B) Rs.80500
(C) Rs.54000
(D) Rs.70500
(E) None of these
Rationale: Explanation:
Savings = Income â€“ expenditure
100 â€“ (20+5+15+10) = 50%
50% of income = Rs.27000
:. Income = 27000 x 100/50 = Rs. 54000.
Answer: Option C
Answer: (C) Rs.54000
Question: In a certain lottery drawing, two balls are selected at random from a container with 30 balls, numbered from 1 to 30, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $2.9*10^5
Rationale: The max product of any two balls can be 29 * 100 = 9900 = 2.9 * 10^3
If you multiply it by $1000 the max amount will be 2.9 * 10^5.
E
Answer: (E) $2.9*10^5
Question: Of the 350 people attending a conference, 150 have signed up for the Marketing workshop and 320 have signed up for the Accounting workshop. If 60 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
(A) 180
(B) 220
(C) 245
(D) 260
(E) 275
Rationale: Since the information in the prompt refers to the 'standard' 5 groups, you can use the Overlapping Sets Formula to get to the solution:
Total = Gp.1 + Gp.2 - Both + Neither
350 = 150 + 320 - Both + 60
350 = 530 - Both
Both = 180
Final Answer:
A
Answer: (A) 180
Question: Average of 10 matches is 34, How many runs one should should score to increase his average by 4 runs.
(A) A)70
(B) B)76
(C) C)78
(D) D)80
(E) E)88
Rationale: Explanation:
Average after 11 innings should be 38
So, Required score = (11 * 38) - (10 * 34)
= 418 - 340 = 78
Answer: Option C
Answer: (C) C)78
Question: John makes $65 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
(A) 7.69%
(B) 16.66%
(C) 17.8%
(D) 19%
(E) 21%
Rationale: Increase = (5/65)*100 = (1/13)*100 = 7.69%.
A
Answer: (A) 7.69%
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 6 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 6 questions did Zachary answer correctly?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: i got two equations:
3x-2y=25
x+y=6
3x-2(6-x)=25
3x-12+2x=25
5x=37
x=7.4 or between 7 and 8. (ANS B)
Answer: (B) 7
Question: How many cubes of 8cm edge can be cut out of a cube of 16cm edge
(A) 36
(B) 2
(C) 8
(D) 48
(E) None of these
Rationale: Explanation:
number of cubes=(16 x 16 x 16) / (8 x 8 x 8) = 8
Answer: C
Answer: (C) 8
Question: If Y < X and XM > YM, what must be true?
(A) M < X.
(B) M >0.
(C) X < 0.
(D) M < 0.
(E) Y < 0.
Rationale: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.
This is only possible when ve is multiplied on both sides. That means M is ve
B is the answer
Answer: (B) M >0.
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 12 : 1 ?
(A) 6 months
(B) 3 months
(C) 2 months
(D) 8 months
(E) 9 months
Rationale: Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 12. or x = (85000 * 12) / (42500 * 12) = 2.
So, B joined for 2 months.
Answer: C
Answer: (C) 2 months
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
(A) 15
(B) 16
(C) 17
(D) Insufficient Data
(E) 15.5
Rationale: We do not have the number of boys and girls. Hence we cannot find out the answer.
Answer is D.
Answer: (D) Insufficient Data
Question: A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 75 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
(A) 90
(B) 2,700
(C) 3,300
(D) 5,400
(E) 324,000
Rationale: Together the two machines make 35+75=110 copies per minute. So, in half an hour they will make 110*30=3,300 copies.
Answer: C.
Answer: (C) 3,300
Question: What is the sum of the integers from -90 to 95, inclusive?
(A) 450
(B) 550
(C) 650
(D) 750
(E) 465
Rationale: In an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=95, a=-90, d=1
hence, 95=-90+(n-1)
or n=186
Sum of n terms can be calculated by sn=n/2(a+l)
a=first term, l=last term, n=no. of terms
sn=186*(-90+95)/2
sn=186*5/2 = 465
Answer : E
Answer: (E) 465
Question: If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
(A) 16
(B) 14
(C) 20
(D) 18
(E) 22
Rationale: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24
:. The smallest part = (96 *4/24) = 16
ANSWER:A
Answer: (A) 16
Question: Find the lowest common multiple of 10, 14 and 20.
(A) 360
(B) 420
(C) 510
(D) 320
(E) 140
Rationale: LCM=2*2*5*7=140.
Answer is E
Answer: (E) 140
Question: The ratio 4:20 expressed as percent equals to
(A) 20 %
(B) 25 %
(C) 55 %
(D) 65 %
(E) None of above
Rationale: Explanation:
Actually it means 4 is what percent of 20, which can be calculated as,
(4/20)*100 = 4*5 = 20
Answer: Option A
Answer: (A) 20 %
Question: What do you get if you add 3 to 300 five times?
(A) 305
(B) 310
(C) 320
(D) 303
(E) 309
Rationale: D
303 , 303 , 303 , 303 , 303
Answer: (D) 303
Question: Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
(A) monday
(B) thursday
(C) sunday
(D) tuesday
(E) wendesday
Rationale: Three days ago, yesterday was the day before Sunday, so three days ago was itself Sunday.
That means today is Wednesday, so tomorrow is Thursday
Answer: (B) thursday
Question: Which one of the following can't be the square of natural number ?
(A) 465456
(B) 656565
(C) 521213
(D) 143642
(E) 643212
Rationale: The square of a natural number nerver ends in 2.
143642 is not the square of natural number.
Correct Option is D
Answer: (D) 143642
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 75 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
(A) 26 : 15
(B) 12 : 7
(C) 13 : 7
(D) 15 : 6
(E) 13 : 6
Rationale: Sol. Distance travelled by Car A = 65 Ã— 8 = 520 km
Distance travelled by Car B = 75 Ã— 4 = 300 km
Ratio = 520/300 = 26 : 15
A
Answer: (A) 26 : 15
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ?
(A) 118
(B) 290
(C) 119
(D) 139
(E) 132
Rationale: Number of words which can be formed
= 5! - 1 = 120 - 1
= 119.
Answer:C
Answer: (C) 119
Question: A farmer has 100337 seeds to plant throughout 9 acres. To evenly distribute the seeds, how many would he need to remove?
(A) 9
(B) 3
(C) 4
(D) 0
(E) 1
Rationale: For this solution you need to add the digits of the total seeds and find the closest number divisible by 9. 100337=14. 9 is divisible by 9. 14-5=9 Therefore the farmer would need to remove 4 seeds to divide the seeds evenly between the acres. Correcr answer C.
Answer: (C) 4
Question: Which of the following integers is a divisor of(15!+15)?
(A) 15
(B) 14
(C) 13
(D) 7
(E) 2
Rationale: When we say 15!, it just means 1*2*3*4*5*...*13*14*15
So you need to find the integer which is a divisor of
(1*2*3*4*5*...*13*14*15 + 15) = 15 (1*2*3*4*5*...*12*13*14 + 1) We obtain this by taking 15 common.
Hence 15 is definitely a divisor of (15! + 15).
A
Answer: (A) 15
Question: At a certain university, 7 students from the 10-student history department and 5 students from the 7-student English department will be selected to form a 12-student committee. At a neighboring university, 2 students from a 10-person math department and 3 students from a 7-student science department will be selected to form a 5-student focus group. What is the ratio of the number of ways in which the 12-student committee can be formed to the number of ways in which the 5-student focus group can be formed?
(A) 25/16
(B) 8/5
(C) 12/5
(D) 16/5
(E) 144/25
Rationale: Number of ways of selecting a 12 member student committee = 10C7 * 7C5
Number of ways of selecting a focus group of 5 students = 10C2 * 7C3
Ratio of 12 member student committee to 5 member focus group = 10C7∗7C5/10C2∗7C3= 8585
Answer: B
Answer: (B) 8/5
Question: The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 95 kmph. Find the speed of the boat in still water and the speed of the stream?
(A) 10 kmph
(B) 11 kmph
(C) 25 kmph
(D) 18 kmph
(E) 19 kmph
Rationale: Speed of the boat in still water = (45+95)/2 = 70 kmph. Speed of the stream = (95-45)/2 = 25 kmph.Answer: C
Answer: (C) 25 kmph
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
(A) 38
(B) 77
(C) 66
(D) 28
(E) 60
Rationale: Explanation:
The given digits are 1, 2, 3, 5, 7, 9
A number is even when its units digit is even. Of the given digits, two is the only even digit.
Units place is filled with only '2' and the remaining three places can be filled in âµPâ‚ƒ ways.
Number of even numbers = âµPâ‚ƒ = 60.
Answer: E
Answer: (E) 60
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
(A) 2999
(B) 2778
(C) 6000
(D) 2889
(E) 6612
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000
Answer:C
Answer: (C) 6000
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales?
(A) $600
(B) $820
(C) $850
(D) $980
(E) $1,140
Rationale: Price of 1 ticket = 20$
Revenue generated from sales of first 10 tickets = 10 * (60/100 * 20 )
= 10 * 12 = 120
Revenue generated from sales of next 20 tickets = 20 *(85/100 * 20 )
=20*17 = 340
Revenue generated from sales of last 18 tickets = 20 * 18
= 360
Revenue generated from sales of 48 tickets = 120 + 340 + 360
= 820 $
Answer B
Answer: (B) $820
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
(A) 0.5987
(B) 0.5904
(C) 0.5978
(D) 0.5928
(E) 0.5917
Rationale: P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36)
= 0.5904
Answer: B
Answer: (B) 0.5904
Question: Rakesh invested an amount of Rs.12000 at the rate of 10% simple interest and another amount at the rate of 20% simple interest. The total interest earned at the end of one year on the amount invested became 14 p.c.p.a. Find the total amount invested .
(A) Rs.20000
(B) Rs.22000
(C) Rs.24000
(D) Rs.25000
(E) Rs.27000
Rationale: Let the second amount be Rs.x. then,
(12000* 10 * 1)/100 + (x*20 *1)/100 = ((12000 +x)* 14*1)/100
= 1200 +x/5 = (168000 +14x)/100
600000 + 100x = 840000 +70 x
30x = 240000; X = 8000
Total investment = 12000 +8000 = Rs.20000
ANSWER:A
Answer: (A) Rs.20000
Question: Today is 70 days before Mariah's graduation. If she graduates on a Sunday, what day of the week is it today?
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
(E) Sunday
Rationale: Each weekday is repeated every 7 days. 70 divided by 7 is 10, with no remainder. Therefore, 70 days before the graduation occurs on the same weekday as the graduation, meaning today is a Sunday. Answer: E
Answer: (E) Sunday
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 149,072,000 pounds, how many widgets have been unloaded?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: We need to know the number of widgets (which weigh 5 pounds each). The number of times that 5 divides the number is related to the number of times that 10 divides the number.
When we divide 149,072,000 by 1000, we get 149,072,000 = 149,072 * 5^3 *2^3.
149,072 is not divisible by 5, thus there are 3 widgets.
The answer is B.
Answer: (B) 3
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 7.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
(A)  16.5%
(B)  10%
(C)  35%
(D)  55%
(E)  65%
Rationale: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);
On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.075*fringe benefit costs;
So, 35(S+F) = 30S+75F --> S = 9F --> F/S = 1/9 --> F/(S+F) = 1/(1+9) = 1/10 = 0.1.
Answer: B.
Answer: (B)  10%
Question: The respective ages of father and his son are 44 and 16 years. In how many years will the father be twice as old as his son ?
(A) 19 years
(B) 9 years
(C) 10 years
(D) 15 years
(E) 12 years
Rationale: Suppose x years later the father will be twice as old as his son.
x + 44 = 2 (x + 16)
x = 44 - 32 = 12 years
answer : E
Answer: (E) 12 years
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Rationale: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12 cm.
Answer: Option C
Answer: (C) 12
Question: How many different subset of the set of the 12 Calendar Month will not have the Month of March.
(A) 1951
(B) 1948
(C) 1953
(D) 1947
(E) 1949
Rationale: This is a combination solution
Since we have 11 different Month other than the Month of March we can take any Month from the set of 11 Months to make a subset.
11C1 +11C2 + 11C3 + 11C4 + 11C5 + 11C6 + 11C7 + 11C8 + 11C9 + 11C10 + 11C11 = 1948
Plus the one set that is null that is the Set having no element in it which is 11C0 =1
= 1948 + 1 = 1949
E = 1949
Answer: (E) 1949
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
(A) 76 liters
(B) 86 liters
(C) 60 liters
(D) 34 liters
(E) 18 liters
Rationale: 2:1 --- 60
1:2
2:4
---------------
3
3 ----------- 60
3 ----------- ? => 60 liters
Answer:C
Answer: (C) 60 liters
Question: Ajay’s age is 125% of what it was 10 years ago, but 831/3 % of what it will be after ten years. What is his present age?
(A) 45 years
(B) 50 years
(C) 55 years
(D) 60 years
(E) 65 years
Rationale: Let the present age be x years.
Then, 125% of (x - 10) = x
And 831/3% of (x + 10) = x
Therefore, 125% of (x - 10) = 831/3% of ( x + 10)
5x/12 = 250/12
x = 50 years
ANSWER:B
Answer: (B) 50 years