MU-NLPC/Calc-aqua_rat huggingface dataset:
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.04 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?	Choose the correct answer
A) $39.89
B) $48.87
C) $58.96
D) $65.57
E) $69.92

Solution: Operating system overhead for 1 run = 1.04 $   Mounting of data tape = 4.35$   Cost per 1 millisecond of computer time = .023 $   Total cost of 1 run of a program that requires 1.5 seconds of computer time   = 1.04 + (.023*1500) + 4.35   =1.04 + 34.5 + 4.35= 
1.04 + 34.5 + 4.35 = 39.89
39.89$   $39.89nswer $39.89
Answer: A
Reema took a loan of Rs 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 735 as interest at the end of the loan period, what was the rate of interest. Choose the most appropriate option.
A) 5%
B) 6%
C) 7%
D) 8%
E) 9%

Solution: Explanation:   Let rate = R% then Time = R years.   =>1500∗R∗R /100=735   =>R2=49   =>R=7%   Option 7%
Answer: C
The tax on a commodity is diminished by 30% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?  Pick one:
A) 18%
B) 72%
C) 32%
D) 16%
E) 52%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   70 * 120= 
70 * 120 = 8_400
8400   10000------- 1600   100 ------- ?= 16%   Answer:16%
Answer: D
If y exceeds x by 20%, then x is less than y by?  Choose the most appropriate option
A) 16 2/7%	B) 16 2/8%	C) 16 2/3%	D) 16 2/9%	E) 16 2/13%

Solution: X=100	y=120   120------20   100-------? => 16 2/3%   Answer:16 2/3%
Answer: C
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choose the correct answer:	A) 2 mins	B) 3 mins	C) 9 mins	D) 8 mins	E) 6 mins

Solution: D = 25 * 60 + 1500= 
25 * 60 + 1500 = 3_000
3000 m   T= 3000/60 * 18/5= 
3000/60 * 18/5 = 180
180 sec= 3 mins   Answer:3 mins
Answer: B
Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points? Choose the correct choice from the following choices
A) 68  B) 72  C) 8  D) 88  E) 312

Solution: Average score for first 4 rounds = 18   Average score after 5 rounds = 16   Score Scott needs on his 5th round to drop average score by 2 points = 18 - (2*5)= 
18 - (2*5) = 8
8   Answer 8
Answer: C
In a hockey league there are 10 teams. Each team plays every other team once. If we can play 5 games every week, how many weeks long is one season?
Choose the correct choice from the following options:
A) 8
B) 9
C) 18
D) 20
E) 22

Solution: total matches = 10*9/2= 
10*9/2 = 45
45   so number of weeks= 45/5= 
45/5 = 9
9   ANSWER:9
Answer: B
The jogging track in a sports complex is 627 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?  Choose the most appropriate option:
A) 4.56 min
B) 5.28 min
C) 5.08 min
D) 9.28 min
E) 5.988 min

Solution: Clearly, the two will meet when they are 627 m apart.   To be (4.5 + 3.75)= 
(4.5 + 3.75) = 8.25
8.25 km apart, they take 1 hour.   To be 627 m apart, they take (100/825 * 627/1000) hrs= (627/8250 * 60)= 
(627/8250 * 60) = 114/25 = around 4.56
4.56 min.   4.56 minnswer: 4.56 min
Answer: A
A train passes a platform in 35 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choose the correct choice from the following answers:  A) 280 meter  B) 240 meter  C) 225 meter  D) 200 meter  E) None of these

Solution: Explanation:   Speed of the train = 54 km/hr = (54×10)/35 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 35   => 300+L = 15×35 = 525   => L = 525-300= 
525-300 = 225
225 meter   Answer: Option 225 meter
Answer: C
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?	Choose the correct choice from the following:
A) 110 km/hr	B) 145 km/hr	C) 151 km/hr	D) 180 km/hr	E) 120 km/hr

Solution: E   Let speed of the car be x km/hr.   Then, speed of the train = 150/100 x = 3/2 x km/hr.   75/x - 75/(3/2 x) = 125/(10 * 60)   75/x - 50/x = 5/24 = 120 km/hr.
Answer: E
Having scored 99 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?	Options:
A) 28
B) 27
C) 26
D) 22
E) 24

Solution: Explanation :   Let the average score of the first 18 innings be n   18n + 99 = 19(n+4)=> n = 23   So, Average score after 19th innings = x+4 =27.   Answer : 27
Answer: B
An investor deposited $5,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choose the correct choice from the following options:
A) $5300.50  B) $5304.50  C) $5405.50  D) $5604.50  E) $5805.50

Solution: The amount in the account after 6 months is 1.03*1.03($5,000) = $5304.50.   The answer is $5304.50.
Answer: B
Car A runs at the speed of 55 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Select the correct option
A) 3 : 7
B) 4 : 9
C) 11 : 7
D) 5 : 7
E) 6 : 11

Solution: 11 : 7ar A travels 55 × 8 = 440 km   11 : 7ar B travels 70 × 4 = 280 km   The ratio is 440 : 280 = 44 : 28 = 11 : 7   The answer is 11 : 7.
Answer: C
Can anyhow help me with an easy solution for this
2, 7, 36, 4, 14, 225, 6, 21, ?	Pick one:
A) 576
B) 476
C) 376
D) 276
E) 676

Solution: 2, 7, 36, 4, 14, 225, 6, 21, ?     2+7= 
  2+7 = 9
9 and   9-3= 
  9-3 = 6
6 and 6^2=36   4+14= 
4+14 = 18
18 and   18-3= 
  18-3 = 15
15 and 15^2=225   6+21= 
6+21 = 27
27 and   27-3= 
  27-3 = 24
24 and 24^2=576   576NSWER:576
Answer: A
Simple interest on a certain sum of money for 2 years at16% per annum is one fourth the compound interest on Rs. 4000 for 2 years at 8% per annum. The sum placed on simple interest is
Answers:
A) Rs.4000  B) Rs.665.6  C) Rs.520  D) Rs.166.4  E) None

Solution: Solution   C.I.	=Rs[4000x(1+8/100)Â²-4000]   Rs.(4000x108/100x108/100-4000)	= Rs.665.6.   Sum	=Rs. [166.4x100 /2x16]   = Rs.520.   Answer Rs.520
Answer: C
Each week, Harry is paid x dollars per hour for the first 35 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choose the correct choice from the following options.
A) 35	B) 36	C) 34	D) 38	E) 39

Solution: James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;   We know that Harry also earned the same 42x dollars, out of which he earned 35x dollars for thefirst 35 hoursplus 7x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 7x/1.5x= 4 additional hours, so Harry worked for total of 30+4= 
30+4 = 34
34 hours.   Answer: 34.
Answer: C
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Pick one
A) 7.75 days
B) 2.75 days
C) 5.75 days
D) 3.75 days
E) 8.75 days

Solution: 3.75 days   3.75 days   1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days
Answer: D
Find the distance covered by a man walking for 30min at a speed of 10km/hr?  Choose the correct choice from the following.
A) 1km  B) 3km  C) 4km  D) 5km  E) 6km

Solution: 5kmistance = 10*20/60 = 5km   Answer is 5km
Answer: D
How many possible integer values are there for x if |x - 3| < 6 ? Choose one
A) One	B) Two	C) Three	D) eleven	E) Five

Solution: Solution: |x-3| < 6   let x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left   (the less than sign represents that the a must be within boundaries )   (3-6)----------3----------(3+6)   now, we have -3<a<9   but a =x ==> -3<x<9   Now question says Integer values (not rational ) therefore we have -2,-1,0,1,2,3,4,5,6,7,8   Hence 11 eleven
Answer: D
Find the odd man out
2886, 480, 96, 24, 8, 4, 4  Choose the correct choice from the following options:
A) 480
B) 96
C) 24
D) 8
E) 2886

Solution: from the right side   4*1= 
4*1 = 4
4,   4*2= 
4*2 = 8
8   8*3= 
8*3 = 24
24   24*4= 
24*4 = 96
96   96*5= 
96*5 = 480
480   480*6= 
480*6 = 2_880
2880 but here given 2886 so it's not.   ANSW2886R:2886
Answer: E
’A’ sold an article to ’B’ at a profit of 20%. ’B’ sold the same article to ’C’ at a loss of 25% and ’C’ sold the same article to ’D’ at a profit of 40%. If ’D’ paid Rs 252 for the article, then find how much did ’A’ pay for it?
Select the correct option
A) Rs 175  B) Rs 200  C) Rs 180  D) Rs 210  E) Rs 230

Solution: Let the article costs ‘X’ to A   Cost price of Rs 200 = 1.2X   Cost price of C = 0.75(1.2X) = 0.9X   Cost price of D = 1.4(0.9X) = 1.26X = 252   Amount paid by A for the article = Rs 200   ANSWER:Rs 200
Answer: B
A starts a business with a capital of Rs. 30,000. B joins in the business with Rs.12000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?  Select.
A) 5 months	B) 6 months	C) 7 months	D) 10 months	E) None of these

Solution: Explanation :   Let B joins for x months. Then   A:B = 30000*12 : x* 12000 = 3 : 1   => 30*12 : 12x= 3 : 1   => 30*12/ 12x = 3/1= 
3/1 = 3
3=> 30*4 /12x = 1   => 10/x = 1   => x = 10. Answer : Option 10 months
Answer: D
The tax on a commodity is diminished by 30% but its consumption is increased by 15%. Find the decrease percent in the revenue derived from it?
Pick one
A) 20% B) 18% C) 15% D) 12% E) 14%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   70 * 115= 
70 * 115 = 8_050
8050   10000------- 1950   100 ------- ?= 20%   20%NSWER:20%
Answer: A
Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?  Options.
A) 33	B) 67	C) 29	D) 31	E) 35

Solution: E   35   Let present age of P and Q be 3x3x and 4x4x respectively.   Ten years ago, P was half of Q's age   ⇒(3x−10)=1/2(4x−10)   ⇒6x−20=4x−10   ⇒2x=10   ⇒x=5   Total of their present ages   =3x+4x=7x3 +4= 
3 +4 = 7
7x=7×5=35
Answer: E
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability E that the sum of the two integers will equal 9 ?	Select:
A) 0.15 B) 0.20 C) 0.25 D) 0.30 E) 0.33

Solution: Rearrange the first set:   A = {5,4,3,2}   B = {4,5,6,7, 8}   As you can see numbers in each column (the numbers of the same color) give the sum of 9. So there are 4 such pares possible, total # of pairs is 4*5= 
4*5 = 20
20. E=favorable/total=4/20=0.2.   Answer: B.   Or: we can select ANY number from set A (4/4=1) but in this case we must select its matching pair from set B (the number of the same color) and since there are only one matching pair of this particular number in B then the probability of this is 1/5. So, overall: E=1*1/5.   Answer: 0.20.
Answer: B
Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ?
Pick one.
A) 25
B) 43
C) 14
D) 36
E) 12

Solution: John's age= 10x+y so Wilson's age= 10y+x..   after 21 years , 10x+y+21=2*(10y+x+21)....   so 21+19y=8x... check for odd values of y, y=1 satisfies the eqn with x=5... so ages are 51 and 15 and ans as found correctly by u is 36..36
Answer: D
The function f is defined for all positive integers x by the following rule. f(x) is the number of positive integers each of which is less than x and has no positive factor in common with x other than 1. If p is any prime, number then f(p)=  Pick one.
A) 2  B) p-2  C) (p+1)/2  D) (p-1)/2  E) p-1

Solution: If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it.   This question for instance basically asks: how many positive integers are less than given prime number p which have no common factor with p except 1.   Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   For example: if p=3 how many numbers are less than 3 having no common factors with 3: 1, 2, --> 3-1=2.   Answer: p-1.
Answer: E
The present worth of a certain bill due sometime hence is Rs.800 and the true discount is Rs.36.The banker’s discount is
Choose the correct choice from the following choices
A) Rs.34.38
B) Rs.38.98
C) Rs.37
D) Rs.37.62
E) None

Solution: Solution   B.G	= [(T.D)² / P. W]   = Rs. (36 x 36 / 800)   = Rs.1.62   B.D   Given, T.D =36	= (T.D + B.G)   = Rs. (36 + 1.62)   = Rs.37.62.   Answer Rs.37.62
Answer: D
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?	Pick.
A) 3 : 4 B) 4 : 3 C) 5 : 3 D) Data inadequate E) None of these

Solution: Explanation:   (20 x 16) women can complete the work in 1 day.   1 woman's 1 day's work =1/320   (16 x 15) men can complete the work in 1 day.   1 man's 1 day's work =	1/240   So, required ratio   =	1/240 =1/320   =1/3 : 1/4   = 4 : 3 (cross multiplied)   ANSWER IS 4 : 3
Answer: B
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Select.
A) 18 B) 74 C) 15 D) 44 E) 63

Solution: Explanation:   Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 4/9 (T - 8)   After adding milk, quantity of milk in the mixture = 6/11 T.   6T/11 - 8 = 4/9(T - 8)   10T = 792 - 352 => T = 44.   Correct Option : 44
Answer: D
What is the smallest integer T greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?	Choose the correct choice from the following:	A) 21	B) 41	C) T=121	D) 241	E) 481

Solution: Or u can just use the answer choices here. Since the answers are already arranged in ascending order, the first number which gives remainder T as 1 for all three is the correct answer. In the given question, the first number which gives a remainder of 1 for 6,8 and 10 is 121.T=121
Answer: C
What is the minimum percentage increase in the mean of set A {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?  Pick one.
A) 25%  B) 50%  C) 75%  D) 100%  E) 200%

Solution: Mean of A is (-4-1+0+6+9)/5= 
(-4-1+0+6+9)/5 = 2
2;   In order the increase to be minimal we should replace two smallest elements of A, which are -4 and -1, with two smallest primes, which are 2 and 3. Hence our new set will be {2, 3, 0, 6, 9} --> new mean is   (2+3+0+6+9)/5= 
  (2+3+0+6+9)/5 = 4
4.   Percent increase=(4-2)/2*100= 
(4-2)/2*100 = 100
100%.   Answer: 100%.
Answer: D
If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a fifth circle? Select:  A) 0.36  B) 7200  C) 360  D) 3,600  E) 36,000

Solution: 1 degree * 1/100 = 1 anglet   So 1 degree = 100 anglets   => 72 degrees = 7200 anglets   Answer - 7200
Answer: B
A motorboat can go at 21 kmph and still water. It takes 7 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?  Options.
A) 65 km
B) 85 km
C) 55 km
D) 72 km
E) 40 km

Solution: Let the distance between A and B be x km.   Total time = x/(21 + 3) + x/(21 - 3) = 7   => x/24 + x/18 = 7 => (4x + 3x)/72 = 7 => x = 72 km.   ANSWER:72 km
Answer: D
A given line L has an equation 3x+4y=5. Which of the following is the equation of line which is perpendicular to the above line?  Choose the correct choice.
A) 4x - 3y = 5 B) 3x + 4y = 10 C) 3x + 5y = 5 D) 3x + 5y = 3 E) 3x – 4y = 5

Solution: For lines to be perpendicular ,   slope of line 1 * slope of line 2 = -1   (-3/4) * (x) = -1   x = (4/3)   where x is slope of line 2   4x - 3y = 5ns - 4x - 3y = 5
Answer: A
A can do a piece of work in 24 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ? Options
A) 3 days	B) 5 days	C) 6 days	D) 7 days	E) 11 days

Solution: B's 9 day's work = 9 x (1/12) = 3/4   Remaining work = (1 - 3/4) = 1/4   1/4 work is done by A in = 24 x (1/4) = 6 days.   answer : 6 days
Answer: C
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?	Pick one:	A) 40	B) 45	C) 50	D) 55	E) 60

Solution: A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.   C's rent = Rs.175 x 9/35 = Rs. 45.   answer :45
Answer: B
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?	Choose the correct choice from the following answers
A) 11  B) 14  C) 18  D) 12  E) 19

Solution: 2 * 22/7 * 14 * x = 1056 => x = 12   Answer: 12
Answer: D
The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:	Choose the correct choice from the following answers:
A) 45	B) 50	C) 51.4 approx.	D) 54.6 approx.	E) 54

Solution: Let the required means score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 52 * 100   = 1600 + 775 + 55x = 5200   = 55x = 2825   = x = 565/11 = 51.4.   ANSWER:51.4 approx.
Answer: C
Out of a total 85 children playing badminton or table tennis or both, total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. What is the number of girls playing only badminton?
Choose the correct choice from the following answers:
A) 16 B) 14 C) 17 D) Data inadequate E) None of these

Solution: Let the number of boys= x   then x + 7x⁄10 = 85 or x = 50   No. of girls = 85 – 50 = 35   Answer 14
Answer: B
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 900 responses are needed, what is the minimum number of questionnaires that should be mailed? Choose the correct choice from the following:  A) 1300  B) 1350  C) 1400  D) 1450  E) 1500

Solution: Let x be the minimum number of questionnaires to be mailed.   0.6x = 900   x = 1500   The answer is 1500.
Answer: E
There are 35 students in a hostel. If the no. of students increases by 12, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Select the correct option:
A) 259.58 B) 340.58 C) 342.58 D) 345.58 E) 380.58

Solution: Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 12) = x – 1   or, 35x + 42 = 47x – 47   or, x = 7.42   Thus the original expenditure of the mess = 35 x 7.42 = Rs. 259.58   259.58
Answer: A
A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?
Choose the most appropriate option.
A) 12/11 B) 12/24 C) 13/16 D) 18/12 E) 14/23

Solution: One day work of A and B = 1/1= 
1/1 = 1
1/2   One day work of C and A= 1/3   2(A + B + C) = 1/1+ 1/2 + 1/3   2(A + B + C) = 11/6   (A + B + C) = 11/12   Number of days required = 12/11 days.   12/11nswer: 12/11
Answer: A
A man speaks truth 3 out of 4 times. He throws a die and reports it to be a 6.
What is the probability of it being a 6?
Choose the correct choice from the following answers
A) 3/5 B) 1/2 C) 3/4 D) 3/8 E) 3/6

Solution: Explanation :   There are two cases   1) He is telling truth that the die reports 6, its probability = 3/4*1/6 = 1/8   2) He is telling lie that the die reports 6, its probability = 1/4*5/6 = 5/24   So required probability = (1/8)/(1/8)+(5/24) = (1/8)/(1/3) = 3/8   Hencer (3/8) is the correct answer   Answer : 3/8
Answer: D
What is the sum of all two digit numbers? Choose the correct option:
A) 4805	B) 4815	C) 4830	D) 4900	E) 4905

Solution: 10 + 11 + 12 + 13 + 14 + 15 + - - - - - - - - + 97 + 98 + 99 + 100   Sn = n/2[a + l]   = 90/2[10 + 99]   = 45[109]   = 4905.   4905)
Answer: E
Which of the following is not the square of an integer? Choose the most appropriate option:
A) 455625 B) 458623 C) 227529 D) 261121 E) 478864

Solution: The square of an integer (n^2) can have only the following units digit:   0, if the units digit of n is 0;   1, if the units digit of n is 1 or 9;   4, if the units digit of n is 2 or 8.   5, if the units digit of n is 5;   6, if the units digit of n is 6 or 4;   9, if the units digit of n is 3 or 7.   The square of an integer cannot have the units digit of 2, 3, 7, or 8.   The answer is 458623.
Answer: B
If the sum of a number and its square is 240, What is the number?
Choose the most appropriate option:	A) 15	B) 77	C) 25	D) 87	E) 171

Solution: Explanation:   Let the integer be x.   Then, x + x2 = 240   x2 + x - 240 = 0   (x + 16) (x – 15) = 0   x = 15   15NSWER: 15
Answer: A
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?  Choose the correct choice from the following options: A) 30 B) 25 C) 24 D) 35 E) 40

Solution: Let the present ages of Sameer and Anand be 5x and 4x years respectively.   Then, (5x + 3)/(4x + 3) = 11/9   9(5x + 3) = 11(4x + 3) => x = 6   Anand's present age = 4x = 24 years.   ANSWER 24
Answer: C
50% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?
Choose the most appropriate option:
A) 20%  B) 30%  C) 40%  D) 50%  E) 70%

Solution: To maximize the percentage of companies offering both, let's assume that all 50% of companies which offer wireless internet also offer snacks.   The answer is 50%.
Answer: D
A and B invests Rs.8000 and Rs.15000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Choose the correct choice from the following answers:
A) 32:75 B) 82:31 C) 32:45 D) 34:89 E) 35:21

Solution: 32:75 : B   (8000*4)+(4000*8) : (15000*6)+(10000*6)   64000 : 150000   32 : 75   32:75nswer:32:75
Answer: A
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 40
II. 70
III. 92
Pick one
A) I only  B) III only  C) I and II  D) I only III  E) II and III

Solution: m = 18k + 12 --> Values are 12, 30, 48, 66, 84   n = 24k + 14 --> Values are 14, 38, 62, 86   I. 50 --> Not possible   II. 70 --> Not possible   III. 92 --> 30 + 62 --> Possible   Answer: III only
Answer: B
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Choices:
A) 120
B) 278
C) 378
D) 368
E) 367

Solution: 4*5*6= 
4*5*6 = 120
120   120nswer: 120
Answer: A