MU-NLPC/Calc-aqua_rat huggingface dataset:
(?)-19657-33994=9999 Choices
A) 63650
B) 53760
C) 59640
D) 61560
E) None of them

Solution: Let x-53651=9999   Then x=53651+9999= 
53651+9999 = 63_650
63650   63650nswer is 63650
Answer: A
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Select the correct option: A) 8 B) 9 C) 6 D) 4 E) 1

Solution: 80% --- 12   120% --- ?     80/120 * 12= 
  80/120 * 12 = 8
8   8nswer: 8
Answer: A
In a kilometer race, A beats B by 52 meters or 18 seconds. What time does A take to complete the race?  Choose one:
A) 277 sec B) 190 sec C) 328 sec D) 367 sec E) 376 sec

Solution: Time taken by B run 1000 meters = (1000 * 18)/52 = 346 sec.   Time taken by A = 346 - 18= 
346 - 18 = 328
328 sec.Answer: 328 sec
Answer: C
x is what percent of y percent of z, in terms of x, y and z?
Choose the correct choice.
A) 100xy/z	B) 100yz/x	C) 100yz/x	D) 10000x/yz	E) 10000yz/x

Solution: Soln:-   y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to m% of yz/100; then we have:   x = (m/100)*(yz/100)   10,000x/yz = m   and since m is what we were asked to find, the answer is 10,000x/yz   ANSWER:100yz/x
Answer: B
How much water must be added to 68 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre? Choices
A) 10 litres
B) 17 litres
C) 15 litres
D) 18 litres
E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 68 litres of milk   = (1⁄4 × 68) litres = 17 litres.   Answer 17 litres
Answer: B
Sravan travelled for 15 hours. He covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. Find the distance travelled by Sravan? Choose the correct choice from the following options:	A) 520	B) 540	C) 550	D) 560	E) 440

Solution: Let the distance travelled be x km.   Total time = (x/2)/45 + (x/2)/30 = 15 => x/90+ x/60 = 15 => (2x + 3x)/180 = 15   => x = 540 km   Answer:540
Answer: B
A reindeer chased by a Cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the reindeer?
Choices:
A) 30 min B) 45 min C) 1 hr D) 3 min E) 1 min

Solution: When the Cheetah is at the tree, the reindeer is 50/30 miles ahead on the highway. (the distance covered in 2 min)   every hour, Cheetah runs 10miles more than the deer. how many hours will it takes it to cover 50/30 miles more? the answer is (50/30)/10 = 1/60=1 min   Answer E
Answer: D
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1600, then what is the income of P1?
Choose the correct answer:
A) Rs.800  B) Rs.2400  C) Rs.4000  D) Rs.3200  E) Rs.4200

Solution: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their   expenditures be Rs.3y and 2y respectively.   Then, 5x – 3y = 1600 …(i) and 4x – 2y = 1600 ……..(ii)   On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1600 -> x = 800   P1’s income = Rs 5*800 = Rs.4000   ANSWER:Rs.4000
Answer: C
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 2000 . He sold both the items together for Rs. 5000. What percentage of profit did he make?  Pick:
A) 80%
B) 80%
C) 40%
D) 48%
E) 25%

Solution: The total CP = Rs. 2000 + Rs. 2000   = Rs. 4000 and SP = Rs. 5000   Profit(%) = (5000 - 4000)/4000 * 100= 
(5000 - 4000)/4000 * 100 = 25
25%   Answer: 25%
Answer: E
Kim has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
Choose the correct choice from the following.
A) 2/5
B) 1/5
C) 1/9
D) 1/11
E) 1/25

Solution: Total pairs = 12C2 = 66; Same Color Pairs= 6C1*1C1=6; Prob = 1/11   Ans 1/11
Answer: D
5+5
Options
A) 9
B) 12
C) 20
D) 10
E) 0

Solution: 10
Answer: D
The price for a loaf of bread in April was $1.20, in May the price was $1.27, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?  Choose the correct option:
A) $1.18	B) $1.17	C) $1.16	D) $1.15	E) $1.14

Solution: Let x be the number of loaves sold in May.   Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.   The average price was (2x/3)(120) + 127x + (4x/3)(108) / (2x/3 + x + 4x/3) =   (80 + 127 + 144) / (3) = 351/3 = $1.17   The answer is $1.17.
Answer: B
Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
Pick
A) Rs.230	B) Rs.240	C) Rs.250	D) Rs.300	E) Rs.320

Solution: Let the amount paid to M per week = x   and the amount paid to N per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: C
What number times (1⁄7)^2 will give the value of 7^3?	Pick one:
A) 7	B) 49	C) 343	D) 2401	E) 16,807

Solution: x*(1/7)^2 = 7^3   x = 7^2*7^3 = 7^5 = 16,807   The answer is 16,807.
Answer: E
If a boy sells a book for Rs. 450 he gets a loss of 10 %, then find cost price. To gain 10 %, what should be the selling price?	Choose the correct choice from the following options.
A) 400, 500  B) 550, 600  C) 500, 550  D) 475, 525  E) 520, 450

Solution: 1) Find cost price   Let C.P. of book = x and S.P. = Rs. 450   S.P. of book = C.P. – (10% of C.P.)   S.P. = x – (0.10x)   450 = 0.9 x   x i.e cost price = Rs. 500   2) Find Selling Price to gain 10 %.   Now, we are asked to find selling price to gain 10% profit.   Hint:   Selling Price =	(100 + Gain%)	/100*C.P.   Selling Price =	(100 + 10)/100*500   Selling Price =	(110/100)*500   Therefore, selling Price = Rs. 550   ANSWER IS 500, 550
Answer: C
A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 11 miles per hour? (1 mile = 5,280 feet)  Choose the correct choice from the following choices: A) 1 B) 2 C) 4 D) 6 E) 7

Solution: Distance: 4024 feet. This is (4024/5280) miles = 0.76 miles   Speed: 11 miles per hour   Time: (Distance / Speed) (0.76/11) {This will come in Hours}. Multiply by 60 to get answer in minutes. It is 4.15 minutes.   Answer to be 4 minutes.   ANS 4
Answer: C
If (-7)^(8x) = 7^(12 - 5x) and x is an integer, what is the value of x ? Choose the correct answer:
A) 5	B) -4	C) 1	D) 2	E) 3

Solution: Since x is an integer, (-7)^(8x) is always positive.   So, 7^8x = 7^(13 - 5x)   8x = 12 - 5x   12x = 12   x = 1   Answer: 1
Answer: C
How many shots of 1cm radius can be prepared from a sphere of 5cm radius?	Pick.
A) 33
B) 88
C) 27
D) 125
E) 199

Solution: 4/3 Ï€ * 5 * 5 * 5 = 4/3 Ï€ * 1 * 1 * 1 * x   x = 125   Answer: 125
Answer: D
if N is a prime number bigger than 5. Which of the following expressions must be even?	Choose the correct choice from the following choices:
A) 72	B) (b) N^2+2.	C) (c) N(N+2).	D) (d) (N+1)(N+2)	E) (e) (N-2)^2

Solution: N =7   a=81 odd   b =51 odd   c = 63 odd   d = 72 even   e =25 odd   72
Answer: A
A train passes a station platform in 27 seconds and a man standing on the platform in 16 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Select the correct option
A) 299	B) 165	C) 170	D) 185	E) 112

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 16)= 
(15 * 16) = 240
240 m.   Let the length of the platform be x meters.   Then, x + 240 / 27= 15   x + 240 = 405   x = 165 m.   Answer:165
Answer: B
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Options:
A) 10  B) 15  C) 12  D) 14  E) 13

Solution: Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons	30:39 :: 12 : x   Working hours/day	6:5   :. 30 x 6 * x = 39 * 5 * 12   x =	(39 * 5 * 12)/(30 * 6)= 
(39 * 5 * 12)/(30 * 6) = 13
13.   Answer is 13
Answer: E
How many multiples of 4 are there between 8 and 160 ? Choose one:
A) 28 B) 37 C) 32 D) 35 E) 39

Solution: It should be mentioned whether 8 and 160 are inclusive.   If 8 and 160 are inclusive, then the answer is   (160-8)/4+1= 
  (160-8)/4+1 = 39
39.   If 8 and 160 are NOT inclusive, then the answer is   (156-12)/4+1= 
  (156-12)/4+1 = 37
37.   Since OA is 37, then we have NOT inclusive case.
Answer: B
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?  Choose the correct choice from the following answers:
A) 190
B) 200
C) 225
D) 230
E) none

Solution: Sol.   Relative speed = (120 + 80) km/hr [200 * 5/18] m/sec = [500/9] m/sec.   Let the length of the other tain be x metres.   Then, x + 270 / 9 = 500/9 ⇔ x + 270 = 500 ⇔ x = 230.   Answer 230
Answer: D
If 4 men can colour 48 m long cloth in 2 days, then 8 men can colour 36 m long cloth in
Choose the correct choice from the following answers:
A) 0.75 day B) 2 days C) 1.2 days D) 4 days E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 8 = 0.75 day.   0.75 day
Answer: A
377 ÷ 13 ÷ 29 × 1/4 ÷ 2 = ?
Choose the correct option:	A) 1/6	B) 1/8	C) 1/10	D) 1/12	E) 1/15

Solution: Explanation:   377 ÷ 13 ÷ 29 × 1/4 ÷ 2 = ?   => ? = (337/(13 × 29 × 4 × 2)) = 1/8   Answer: Option 1/8
Answer: B
Two numbers are less than third number by 20% and 37% respectively. How much percent is the second number less than by the first Choose the correct answer: A) 5% B) 10% C) 9% D) 11% E) 12%

Solution: Let the third number is x.   then first number = (100-20)= 
(100-20) = 80
80% of x= 80x/100   Second number is (63x/100)   Difference = 80x/100 - 63x/100 = 17x/100   So required percentage is, difference is what percent of first number   (17x/100 * 100/80x * 100 )% = 5% 5%NSWER :5%
Answer: A
What is the smallest positive integer x such that 180-x is the cube of a positive integer  Pick:	A) 50	B) 52	C) 60	D) 55	E) 12

Solution: Given 180-x is a perfect cube   so we will take 125= 5*5*5   180-x = 125   x =180-125= 
180-125 = 55
55   correct option is 55
Answer: D
A dealer offers a cash discount of 15% and still makes a profit of 36% when he further allows 25 articles to be sold at the cost price of 20 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?	Choose the correct choice:
A) 60%
B) 80%
C) 100%
D) 120%
E) 150%

Solution: Given   100%ash Discount - 15%   Profit - 36%   Items Sold - 25   Price Sold at = List Price of 20   Assume List price = $10   Total Invoice = $200   -15% 100%ash Discount = $170   Let cost price of 25 items be x   So total cost = 25*x   Given the shopkeeper had a profit of 36%   25 * x * 136/100 = 170   or x = $5   Which means his products were listed at $10 which is a 100% markup over $5   Answer 100%
Answer: C
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black? Choose the correct choice from the following answers:
A) 31/111
B) 36/145
C) 21/115
D) 11/153
E) None

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
What will come in place of the x in the following Number series? 5,28,57,88,125, x Choose the most appropriate option:
A) 120
B) 143
C) 166
D) 170
E) 180

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125= 
41+125 = 166
166   166
Answer: C
Praveen starts business with Rs.3640 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Select
A) s.7500	B) s.8000	C) s.8500	D) s.9000	E) s.9360

Solution: Let Hari’s capital be Rs. x. Then, 3640 * 12/7x = 2/3   => 14x = 131040   => x = 9360.   ANSWs.9360R:s.9360
Answer: E
A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the string place is
Choose the most appropriate option
A) 11 km B) 71 km C) 21 km D) 41 km E) 91 km

Solution: Explanation:   Let the distance covered be D km.   \inline \frac{D}{10+4}+\frac{D}{10-4}=5   \Rightarrow \frac{D}{14}+\frac{D}{6}=5   \inline \Rightarrow 10D= 42\times 5=210   \inline \Rightarrow D= 21 km   Answer: 21 km
Answer: C
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m, what is its area?  Choose the correct choice: A) 2510 B) 2535 C) 3060 D) 2515 E) 2520

Solution: length = breadth +23. Therefore,   4× breadth +2×23=226 m   ⇒ breadth =45 m   length =45+23= 
45+23 = 68
68 m   Area=68×45=3060 m2   Answer is 3060.
Answer: C
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:  Pick one:
A) 12%
B) 40/3%
C) 15%
D) 14%
E) 24%

Solution: si of 4 month ie of 1/3 years=122   so p=2562-122= 
2562-122 = 2_440
2440   now R=(si*100)/p*time   so R=122*100*3/2440*1= 
122*100*3/2440*1 = 15
15   ANSWER:15%
Answer: C
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Choose the correct choice from the following options:
A) 720	B) 420	C) None of these	D) 5040	E) Cannot be determined

Solution: Explanation :   The word 'LOGARITHMS' has 10 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 10P3   = 10 x 9 x 8   = 720. 720nswer : Option 720
Answer: A
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.40,000. the amount invested by Y is  Select.
A) Rs.45,000 B) Rs.50,000 C) Rs.60,000 D) Rs.80,000 E) None

Solution: Solution   Suppose Y invested Rs.y   Then,	40000 /y = 2 / 3   ‹=› y=(40000×3 / 2).   ‹=› y=60000.   Answer Rs.60,000
Answer: C
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?	Choose the correct choice from the following
A) 11	B) 12	C) 18	D) 17	E) 19

Solution: Explanation:   Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900   Profit(%) = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer:18
Answer: C
What is the sum of the first 25 natural numbers (starting from 1)? Pick one:	A) 325	B) 350	C) 375	D) 400	E) 425

Solution: The sum of n natural numbers = n*(n+1) / 2 = 25*26/2= 
25*26/2 = 325
325   The answer is 325.
Answer: A
Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 42 kmph. For how many minutes does the bus stop per hour?
Choose the most appropriate option.
A) 10 min	B) 7 min	C) 8.2 min	D) 9.6 min	E) 40 min

Solution: D   9.6 min   Due to stoppages, it covers 8 km less.   Time taken to cover 9 km = (8/50 x 60) min = 9.6 min
Answer: D
If (m-8) is a factor of m^2-km-24, then k=	Pick:
A) 3 B) 5 C) 6 D) 11 E) 16

Solution: (m-8)(m-a)=m^2-km-24   A=-3   k=8+a=5=5
Answer: B
The number of diagonals of a polygon of n sides is given by the formula f=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Choose the correct option: A) 3 B) 5 C) 6 D) 7 E) 8

Solution: f=n(n-3)   f=2*n   2n=n(n-3)   =>2=n-3   =>n=5   Answer 5
Answer: B
The area of a triangle will be when a = 1m, b = 1m, c = 2m, a, b, c being lengths of respective sides?	Answers.
A) 2
B) 7
C) 5
D) 3
E) 4

Solution: S = (1 + 1 + 2)/2= 
(1 + 1 + 2)/2 = 2
2   2nswer: 2
Answer: A
Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder  Choose the correct option
A) 1234
B) 1596
C) 1350
D) 1467
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1345).   x + 1345 = 6x + 15   5x = 1330   x = 266   Large number = 266+1330= 
266+1330 = 1_596
1596   1596
Answer: B
Two stations A and B are 110 km apart on a straight line. One train starts from A at 9 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?  Options
A) 11	B) 10	C) 8	D) 12	E) 15

Solution: Suppose they meet x hours after 9 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 12 a.m.   Answer: 12
Answer: D
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students W in the class?  Choose one
A) A)10
B) B)12
C) C)15
D) D)20
E) E)25

Solution: the difference between the highest and lowest salaries is $100,000.   So there are at least 2 people - say one with salary 0 and the other with 100k. No salary will be outside this range.   Median = 50k more than lowest. So median is right in the center of lowest and highest since lowest and highest differ by 100k. In our example, median = 50k. Since there are more than 2 people, there would probably be a person at 50k.   Mean = 20k more than median so in our example, mean salary = 70k   On the number line,   0........50k (median)........100k   Mean = 70k   So there must be people more toward 100k to bring the mean up to 70k. Since we want to add minimum people, we will add people at 100k to quickly make up the right side deficit. 0 and 50k are (70k + 20k) = 90k away from 70k. 100k is 30k away from 70k. To bring the mean to 70k, we will add two people at 100k each to get:   0....50k.....100k, 100k, 100k   But when we add more people to the right of 70k, the median will shift to the right. We need to keep the median at 50k. So every time we add people to the right of 70k, we need to add people at 50k too to balance the median. 50k is 20k less than 70k while 100k is 30k more than 70k. To keep the mean same, we need to add 2 people at 100k for every 3 people we add at 50k. So if we add 3 people at 50k and 2 people at 100k, we get:   0, ... 50k, 50k, 50k, 50k, ... 100k, 100k, 100k, 100k, 100k   the median is not at 50k yet.   Add another 3 people at 50k and another 2 at 100k to get   0, 50k, 50k, 50k, 50k, 50k, 50k, 50k, 100k, 100k, 100k, 100k, 100k, 100k, 100k   Now the median is 50k and mean is 70k.   Total number of people is 15.   Answer (15)(70  + 20 )= 
(70  + 20 ) = 90
90k away from 70k. 100k is 30k away from 70k. To bring the mean to 70k, we will add two people at 100k each to get:   0....50k.....100k, 100k, 100k   But when we add more people to the right of 70k, the median will shift to the right. We need to keep the median at 50k. So every time we add people to the right of 70k, we need to add people at 50k too to balance the median. 50k is 20k less than 70k while 100k is 30k more than 70k. To keep the mean same, we need to add 2 people at 100k for every 3 people we add at 50k. So if we add 3 people at 50k and 2 people at 100k, we get:   0, ... 50k, 50k, 50k, 50k, ... 100k, 100k, 100k, 100k, 100k   the median is not at 50k yet.   Add another 3 people at 50k and another 2 at 100k to get   0, 50k, 50k, 50k, 50k, 50k, 50k, 50k, 100k, 100k, 100k, 100k, 100k, 100k, 100k   Now the median is 50k and mean is 70k.   Total number of people is 15.   Answer (15)
Answer: C
A man is 24 years older than his son. In six years, his age will be twice the age of his son. The present age of the son is	Options
A) 14 years B) 28 years C) 20 years D) 22 years E) None

Solution: Solution   Let the son's present age be x years .Then, man's present age	= (x+24)years.   Then	â€¹=â€º(x+24)+6= 2(x+6)   â€¹=â€ºx+30=2x+12   x= 18.   Answer None
Answer: E
There are 20 girls inhostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl. Answers
A) 1 year
B) 2 years
C) 3 years
D) 4 years
E) None

Solution: Total decrease = 20 * 2= 
20 * 2 = 40
40 month= 3 years 4 month   None)None
Answer: E
If P = 2Q+1 where P is an Integer then which of the following is true?  Select the correct option:
A) P is always Odd  B) P is even if Q is a non integer and a multiple of 0.5  C) P is a non multiple of 2  D) P= 1  E) P IS ALWAYS EVEN

Solution: P is even if Q is a non integer and a multiple of 0.5
Answer: B
Four athletes, Wendy, Michelle, Brenda, and Jamal, scored in a soccer (football) game. If Michelle scored 1 more goal than Brenda did, Jamal scored 3 less than Wendy did, and Wendy scored 3 more than Michelle did, how many fewer goals did Brenda score than Jamal?	Choose the correct choice from the following answers
A) -8  B) -6  C) -2  D) -1  E) -3

Solution: In this word problem, the first key is to turn the story into equations:   Michelle scored 1 more than Brenda did: M = 1 + B   Jamal scored 3 less than Wendy did: J = W - 3   Wendy scored 3 more than Michelle did: W = 3 + M   Then, in classic GMAT style, the problem doesn't ask you to solve for a single variable, but instead to solve for the difference between B and J (how many more goals did Brenda score than Jamal did?). This means that your goal is to get the equations in terms of B and J so that you can solve for the expression B - J.   Taking the first equation and solving for B, you have B = M - 1.   Taking the second equation and solving for J you have J = W - 3, and then with the third equation you can replace W with 3 + M so that both B and J are in terms of M: J = (3 + M) - 3.   So if B = M - 1 and J = M, then:   B - J = (M - 1) - (M)   B - J = M - 1 - M (remove the parentheses by distributing the multiplication)   B - J = -1, so the answer is -1.
Answer: D
Five years ago, John’s age was half of the age he will be in 4 years. How old is he now?	Pick:  A) 14years  B) 15years  C) 16years  D) 17years  E) 18years

Solution: Let John=j,j-5=(j+4)/2,then j=14years   14yearsNSWER:14years
Answer: A
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Answers:
A) 358m B) 850m C) 350m D) 150m E) 340m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer: 350m
Answer: C
A train 440 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Select:
A) 80
B) 26
C) 24
D) 54
E) 15

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 440 * 3/55= 
440 * 3/55 = 24
24 sec.   Answer: 24
Answer: C
The mean of 50 observations was 36. It was found later that an observation 60 was wrongly taken as 23. The corrected new mean is?  Choose the correct choice.
A) 36.7  B) 36.1  C) 36.5  D) 36.9  E) 36.3

Solution: Correct sum   = (36 * 50 + 60 - 23)= 
(36 * 50 + 60 - 23) = 1_837
1837.   Correct mean= 1837/50   = 36.7   36.7nswer:36.7
Answer: A