MU-NLPC/Calc-aqua_rat huggingface dataset:
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?
Choose the correct choice from the following options.
A) Rs. 1,10,000	B) Rs. 1,20,000	C) Rs. 1,24,000	D) Rs. 1,21,000	E) None of these

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 24,000 is made = 96,000 + 28,000 = Rs. 1,24,000   ANSWER:Rs. 1,24,000
Answer: C
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 65 years, that of the parents is 32 years and that of the grandchildren is 5 years. The average age of the family is Choose the correct option:
A) 29 1/7 years
B) 29 6/7 years
C) 39 6/7 years
D) 19 6/7 years
E) 25 6/7 years

Solution: Total age of the grandparents = 65 × 2=130   Total age of the parents = 32 × 2=64   Total age of the grandchildren = 5 × 3=15   Average age of the family = (130+64+15)/7   =209/7   =29 6/7 years   ANSWER:29 6/7 years
Answer: B
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area W covered by the two roads?	Options: A) 400 B) 1550 C) 1575 D) 1600 E) 1625

Solution: Area 1575overed by Road Along the Length = 5*200= 
5*200 = 1_000
1000 Square Meter   Area 1575overed by Road Along the Width= 5*120= 
5*120 = 600
600 Square Meter   1575ommon Area in both Roads (where the roads intersect)= Square with Side 5 meter = 5*5= 
5*5 = 25
25   Total Area of the Roads W= 1000+600-25= 
1000+600-25 = 1_575
1575   Answer: option 1575
Answer: C
A man can row his boat with the stream at 20 km/h and against the stream in 8 km/h. The man's rate is? Options
A) 1 kmph B) 7 kmph C) 6 kmph D) 5 kmph E) 4 kmph

Solution: DS = 20   US = 8   S = ?   S = (20 - 8)/2= 
(20 - 8)/2 = 6
6 kmph   Answer: 6 kmph
Answer: C
The owner of a furniture shop charges his customer 32% more than the cost price. If a customer paid Rs. 5400 for a computer table, then what was the cost price of the computer table?  Select the correct option:
A) Rs.4090
B) Rs.4067
C) Rs.6290
D) Rs.6725
E) Rs.6708

Solution: CP = SP * (100/(100 + profit%))   = 5400(100/132) = Rs.4090.   Rs.4090nswer: Rs.4090
Answer: A
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 15. Find the sum : Choose the correct choice from the following options:
A) 4500  B) 7500  C) 5000  D) 6000  E) None of these

Solution: Sol.(d) Let the sum be 100.   Therefore, SI = 100×5×2100=10100×5×2100=10   and CI = 100(1+5100)2−100100(1+5100)2−100   ∴ =100×21×2120×20−100=414=100×21×2120×20−100=414   6000ifference of CI and SI = 41⁄4 - 10 = 1⁄4   If the difference is 1⁄4 , the sum = 100   => If the difference is 15, the sum   = 400 × 15 = 6000 Answer 6000
Answer: D
C and D work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that C and D will both be chosen?  Choose the correct choice
A) A)1/3  B) B)1/4  C) C)1/15  D) D)3/8  E) E)2/3

Solution: Total number of people = 6   Probability of selecting 1/15 first and then D is 1/6∗1/5=1/30   Probability of selecting D first and then 1/15 is 1/6∗1/5=1/30   Therefore probability of selecting 1/15and D for the review is 1/30+1/30=1/15   Answer is 1/15
Answer: C
How many ways are there to award a gold, silver and bronze medal to 15 contending teams? Pick:	A) 15 × 14 × 13	B) 10!/(3!7!)	C) 10!/3!	D) 360	E) 300

Solution: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 15 ways   if gold medal is given to 1 of the teams then only possible 14 teams can be considered for silver medal. we can do selection in 14 ways   similarly if gold and silver medals are awarded then only remaining 13 teams can be considered for a bronze medal. we can do the selection in 13 ways   Total number of ways to select the 3 possible medal winners = 15 * 14 * 13   Correct answer - 15 × 14 × 13
Answer: A
The tax on a commodity is diminished by 16% and its consumption increased by 15%. The effect on revenue is?	Select:	A) 2%	B) 3.8%	C) 3.4%	D) 3.6%	E) 1%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   84 * 115= 
84 * 115 = 9_660
9660   -----------   10000-----------340   100-----------?=> 3.4% decrease   Answer: 3.4%
Answer: C
If t > 0, which of the following could be true?
I. t^3 > t^2
II. t^2 = t
III. t^2 > t^3 Choose one:
A) I only
B) III
C) IIIII
D) All of the above
E) None of the above

Solution: 1. t^3 > t^2 Well this is true for all t > +1 (but not for values 0 < t < 1)   2. t^2 = t This is true for only one positive number, 1   3. t^2 > t^3 Again this is true only for values of t such that 0 < t < 1   So the answer is All of the above, since there exists at least one value of t which satisfies the equation/ in equation(s)
Answer: D
Marts income is 60 percent more than Tims income and Tims income is 50 percent less than Juans income. What percentage of Juans income is Marts income	Pick one.
A) 124%
B) b) 120 %
C) c) 96 %
D) d) 80 %
E) e) 64 %

Solution: M = (160/100)T   T = (50/100)J   => M = (80/100)J   Answer d) 80 %.
Answer: D
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?
Choose the correct choice from the following answers.
A) 1:20 B) 1:10 C) 1:8 D) 1:4 E) 6:11

Solution: cost needed to net a 20% profit:   (36-x)/x = .2   x=30   actual cost:   33   solution (x=liters of water needed to be added to the 1liter of milk):   33/(1+x)=30   x = 1/10   so to get the cost down to 30   Milk:Water   1:1/10   or (10/10):(1/10)   ANSWER:1:10
Answer: B
The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.40 $ each, 4 sodas at 1.50 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?	Pick one: A) 1.48$ B) 1.52$ C) 1.60$ D) 1.64$ E) 1.70$

Solution: For every 10 tickets amount of snacks sold is  3*2.40+4*1.5+2*1= 
 3*2.40+4*1.5+2*1 = 15.2
$15.2, hence amount of the snacks sales per ticket is $15.2/10=~$1.52.   Answer: 1.52$.
Answer: B
There were two candidates in an election. Winner candidate received 52% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate? Choose the correct choice from the following answers.
A) 776
B) 3744
C) 299
D) 257
E) 125

Solution: W = 52% L = 48%   52% - 48% = 4%   4% -------- 288   52% -------- ?  52  - 48= 
 52  - 48 = 4
4%   4% -------- 288   52% -------- ?=> 3744   Answer:3744
Answer: B
Three containers A,B and C are having mixtures of milk and water in the ratio of 1:5 and 3:5 and 5:7 respectively. If the capacities of the containers are in the ratio of all the three containers are in the ratio 5:4:5, find the ratio of milk to water, if the mixtures of all the three containers are mixed together.  Pick one:  A) 53:115  B) 55:115  C) 115:55  D) 5:115  E) 115:53

Solution: Assume that there are 500,400 and 500 liters respectively in the 3 containers.   Then ,we have, 83.33, 150 and 208.33 liters of milk in each of the three containers.   Thus, the total milk is 441.66 liters.   Hence, the amount of water in the mixture is 1400-441.66=958.33liters.   Hence,   the ratio of milk to water is 441.66:958.33 => 53:115(using division by .3333)   The calculation thought process should be   (441*2+2):(958*3+1)=1325:2875   Dividing by 25 => 53:115.   53:115NSWER 53:115 53:115
Answer: A
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
A) 1 : 3
B) 3 : 4
C) 2 : 3
D) 2 : 5
E) 1 : 7

Solution: Let the speed of the train be x km/hr and that of the car be y km/hr.   Then,	120	+	480	= 8 1	+	4	=	1	....(i)   x	y	x	y	15   And,	200	+	400	=	25 1	+	2	=	1	....(ii)   x	y	3	x	y	24   Solving (i) and (ii), we get: x = 60 and y = 80.   Ratio of speeds = 60 : 80 = 3 : 4.   3 : 4
Answer: B
Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of GRAIN, 3 morsels of white, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Pick:
A) rye − wheat − wheat
B) wheat − wheat − white
C) white − rye − wheat
D) RYE-GRAIN-GRAIN
E) white − white − rye

Solution: Q is nothing BUT asking about remainder..   total morsels thrown before the pattern is repeated = 2+3+1 = 6..   so REMAINDER when 2000 is div by 6..   1998 is EVEN and also div by 3, so remainder is 2..   Last 3 of morsels are 1998-1999-2000   so he uses the last of morsel of pattern in 1998 two of the first morsels of the pattern in 1999 and 2000, and the pattern is G, G, W, W, W, R..   ans R-G-G   RYE-GRAIN-GRAIN
Answer: D
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
Choose the correct choice from the following answers:
A) 9
B) 11
C) 13
D) 15
E) 17

Solution: Solution   Let the three integers be x, x +2 and x + 4. Then, 3x = 2 (x + 4) + 3 ⇔ x = 11.   ∴ Third integer = x + 4 = 15.   Answer 15
Answer: D
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choose the correct option:
A) 3 hrs 45 min B) 4 hrs C) 2 hrs D) 3 hrs 15 min E) 2 hrs 45 min

Solution: time taken by one tap to fill half = 3 hrs   part filled by four taps in 1 hr (4*1/6)=2/3   remain =(1-1/2)=1/2   =>2/3:1/2=>1:x   tot time = 3 hrs 45 min   3 hrs 45 minNSWER 3 hrs 45 min
Answer: A
Total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3/4 liter milk 10 cow gives each 1/4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how?  Choose the correct choice from the following options:
A) 10
B) 12
C) 15
D) 16
E) 18

Solution: 10 cow 2 liter each =20 liter   10cow 3/4 liter each= 3/4=0.758*10=7.5   10 cow 1/4 liter each = 1/4= 
1/4 = 1/4 = around 0.25
0.25*10= 
0.25*10 = 2.5
2.5   add  20+7.5+2.5= 
 20+7.5+2.5 = 30
30   milk split into 3 son each 10 liter then 30/3= 
30/3 = 10
10   10NSWER:10
Answer: A
In an office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's inbox. Secretary takes the top letter and types it. Boss delivers in the order 1, 2, 3, 4, 5 which cannot be the order in which secretary types?  Choose one:
A) 4, 5, 2, 3, 9
B) 4, 5, 2, 3, 1
C) 4, 5, 2, 3, 0
D) 4, 5, 2, 3, 2
E) 4, 5, 2, 3, 7

Solution: 4, 5, 2, 3, 1   Answer:	4, 5, 2, 3, 1
Answer: B
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?	Choose the correct choice from the following options:
A) 267
B) 180
C) 287
D) 177
E) 911

Solution: Angle traced by the hour hand in 6 hours   =(360/12)*6   Answer: 180
Answer: B
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points? Choose the correct choice from the following options:
A) 76
B) 62
C) 52
D) 82
E) 32

Solution: We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.   Hence, the required number of straight lines   = ¹¹C₂ - ⁶C₂ - ⁵C₂ + 1 + 1   = 55 - 15 - 10 + 2= 
55 - 15 - 10 + 2 = 32
32   Answer: 32
Answer: E
A factory produces x widgets per day. The factory's fixed costs are $7000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $6200 a day?	Pick one
A) 42.33	B) 90.33	C) 168	D) 220	E) 400

Solution: profits=6200=60x-8000 --> x=220   Answer 220.
Answer: D
Mani buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share must be:  Choose the correct choice from the following:
A) 10
B) 13
C) 15
D) 20
E) 25

Solution: shares = 20%   ==> 9%   interest of 12%==>15   ANSWER 15
Answer: C
The sum of the first 100 numbers, 1 to 100 is always divisible by	Choose the correct choice:
A) 2 B) 2 and 4 C) 2, 4 and 8 D) 2, 4 and 9 E) None of these

Solution: Explanation:   The sum of the first 100 natural numbers = (100 x 101)/2   = (50 x 101)   As 101 is an odd number and 50 is divisible by 2, so the sum is always divisible by 2.   2nswer: Option 2
Answer: A
Today John is 3 times older than Mark. If in 12 years, John will be one year younger than twice the age of Mark on that day, how old is Mark today?	Select the correct option
A) 13	B) 33	C) 36	D) 38	E) 11

Solution: Given after 12yrs john will be 1 year younger than twice mark's age   i.e 3M+12 = 2(M+12)-1   M=11   Answer is 11
Answer: E
A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
Select:
A) 70 km B) 80 km C) 40 km D) 20 km E) None

Solution: Sol.   Difference between timings = 15 min = 1/4 hr.   Let the length of journey be x km.   Then, x/35 - x/40 = 1/4   ⇔ 8x - 7x = 70   ⇔ x = 70 km.   70 kmnswer 70 km
Answer: A
Two positive integers differ by 4, and sum of their reciprocals is 6. Then one of the numbers is  Choose the correct choice from the following answers:
A) a) 3
B) b) 1
C) c) 5
D) 4
E) e) 28

Solution: Algebraic approach:   Let n be the smaller integer => 1/n + 1/(n+4) = 6   or ((n+4)+n)/n(n+4) =6 or (n^2+4n)*6 =2n+4 or n=2 as n cannot be -negative   Solve for n => n=4. Hence,   4
Answer: D
A committee is composed of w women and m men. If 4 women and 4 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by Choices: A) w/m B) w/(w+m) C) (w+4)/(m+4) D) (w+4)/(w+m+4) E) (w+4)/(w+m+8)

Solution: The number of women is w+4.   The total number of people is w+m+8.   P(a woman is selected) = (w+4) / (w+m+8)   The answer is (w+4)/(w+m+8).
Answer: E
A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle T in terms of h?  Choose the correct choice from the following answers
A) h/ √2 B) h/2 C) h/4 D) (h)^2 E) (h)^2/4

Solution: IF...each of the two shorter sides = 3, then the hypotenuse = H = 3(root2).   The AREA T= (1/2)(Base)(Height) = (1/2)(3)(3) = 9/2.   So we're looking for an answer that = 9/2 when H = 3(root2). There's only one answer that matches...   (h)^2/4
Answer: E
The average of 25 results is 24. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?	Pick: A) 740 B) 228 C) 690 D) 780 E) 458

Solution: Solution: Sum of 1st 12 results = 12*14   Sum of last 12 results = 12*17   13th result = x (let)   Now,   12*14+12*17+x = 25*24   Or, x = 228.   Answer: Option 228
Answer: B
The ration between the present ages of P and Q is 2:5. If Q is 12 years older than P, what will be the ratio of the ages of P and Q after 12 years?  Choose the most appropriate option:
A) 2:3 B) 1:2 C) 5:7 D) 4:7 E) 5:8

Solution: Let P's and Q's age be 2x and 5x   5x-2x = 12   x = 4   Required ratio = (2x+12):(5x+12) = 20:32 = 5:8   Answer is 5:8
Answer: E
In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choose the most appropriate option:	A) 30	B) 10	C) 15	D) 20	E) 25

Solution: pick 100 and x= all set with exactly two items   65=30+50+20 -(X)-10   X=25   so the answer is 25+5/100= 30%   30nswer 30
Answer: A
At the moment there are 54,210 tagged birds in a certain wildlife refuge. If exactly 30 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?	Select the correct option.
A) 66.67	B) 66	C) 67	D) 65.99	E) 67.26

Solution: 66.67ll birds = 54210   Currently Tagged = 54210 * 30/100= 
54210 * 30/100 = 16_263
16263   So Untagged birds= 54210 - 16263= 
54210 - 16263 = 37_947
37947   Half of all birds= 27105   The number of birds to be tagged to make half of all birds tagged = 27105 - 16263= 
27105 - 16263 = 10_842
10842   So now the question remains - 10842 is how much percentage of untagged birds (16263)= 10842*100/16263   = 66.67   66.67nswer (66.67)
Answer: A
Renuka got married 8 years ago. Today her age is 4/3 times of marriage. Her daughter age is 1/8 times her age. her daughter age is  Options
A) 3 years	B) 4 years	C) 6 years	D) 8 years	E) 9 years

Solution: Renuka got married 8 years ago. Today her age is 4/3 times of marriage.   If her age at time of marriage was x, then   x*4/3 = x+8x/3=8   x=24 yrs   Her present age = 24+8= 
24+8 = 32
32 yrs   Daughter's age= 32/8= 
32/8 = 4
4 years   ANSWER:4 years
Answer: B
A cricket player whose bowling average was 24.50 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.50. What will be the number of wickets taken by him till the last match?
Pick
A) 64 B) 72 C) 141 D) 96 E) 108

Solution: Average = Total Runs / Total wickets   Total runs after last match = 24.50w + 52   Total wickets after last match = w + 5   (24.50w + 52) / (w + 5) = 24.5 - 0.50= 
24.5 - 0.50 = 24
24   w= 136   so total wickets aftr last match = w+5 = 141   ANSWER:141
Answer: C
The average of first 18 even numbers is?	Choose the most appropriate option: A) 19 B) 18 C) 16 D) 11 E) 17

Solution: Sum of 18 even numbers = 18 * 19= 
18 * 19 = 342
342   19verage= 342/18= 
342/18 = 19
19   19nswer:19
Answer: A
Mr. RIDDLE invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 43% and Fund Y paid 28%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?
Select the correct option
A) 43,870.34 B) 56,876.45 C) 77,789.45 D) 78,450.70 E) 87,987.34

Solution: X+Y=200,000   0.28Y=0.43A+300   Take away decimals first: 28Y+43X+20,000   Isolate first equation to solve for X (your goal): Y=200,000-Y   Plug in for B:   28(200,000-X)=43X+30,000   5,600,000-28X=43X+30,000   5,570,000=71X   5,570,000/71=X   5,570,000/71=X   X=78,450.70=Answer Choice 78,450.70
Answer: D
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?  Pick one:
A) 22  B) 88  C) 25  D) 99  E) 01

Solution: A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   Answer: 25
Answer: C
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Options:
A) 5/19	B) 5/12	C) 5/18	D) 2/12	E) 5/11

Solution: Using question number 11 and 12, we get the probability as   1 - (1/36 + 5/9)   = 5/12   Answer: 5/12
Answer: B
On dividing 171 by a number, the quotient is 8 and the remainder is 3. Find the divisor. Choose the correct choice from the following answers:	A) 18	B) 19	C) 20	D) 21	E) 22

Solution: d = (21-R)/Q   = (171 - 3)/8   = 168/8= 
168/8 = 21
21   21
Answer: D
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choose the most appropriate option.
A) 278  B) 279  C) 999  D) 287  E) 287

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5= 
666 * 1.5 = 999
999   Answer:999
Answer: C
How many seconds will it take for a car that is traveling at a constant rate of 14 miles per hour to travel a distance of 96 yards?	(1 mile = 1,160 yards)  Choose the correct choice: A) 11 B) 12 C) 13 D) 14 E) 17

Solution: speed = 14 miles/hr = 6.84 yard/s   distance = 96 yards   time = distance/speed   =96/6.84   =14 sec   ans - 14
Answer: D
The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.	Choose the correct answer
A) rs.1175
B) rs.1375
C) rs.1475
D) rs.1575
E) NONE OF THESE

Solution: Explanation:   PW=100*Amount / 100+(R+T)   ANSWER IS rs.1375
Answer: B
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 10 and 11. The larger of the two numbers is:  Choose the most appropriate option:
A) 276 B) 253 C) 322 D) 345 E) 395

Solution: Clearly, the numbers are (23 x 10) and (23 x 11).   Larger number = (23 x 11) = 253.   Answer: Option 253
Answer: B
How many different 6-letter sequences are there that consist of 1A, 4B's and 5C's ?  Select the correct option.
A) 6
B) 60
C) 100
D) 360
E) 720

Solution: How many different 6-letter sequences are there that consist of 1 A, 4B's, and 5 100's?   (A) 6   (B) 60   (100) 100   (D) 360   (E) 720 (ANS 100)
Answer: C
How many litres of 6% acid solution must be mixed with 120 gallons of 20% acid solution to obtain an acid solution that is 16%? Choose the correct choice from the following answers:
A) 48 litres B) 98 litres C) 28 litres D) 49 litres E) 41 litres

Solution: QUESTION : Rs. 2250 is divided among three boys named Rama, Krishna and Kalki in such a way that 1/6th of Rama’s share, 1/4th of Krishna’s share and 2/5th of Kalki’s share are equal. Find Rama’s share.   48 litresNSWER : 48 litres
Answer: A
A woman can row upstream 5 kmph and downstream 10 kmph. Find the woman rate in still water and rate of the stream.	Options: A) 2.5,2.5 B) 7.5,2.5 C) 5.5,2.5 D) 5,2.5 E) 1.5,2.5

Solution: Explanation:   Please remember,   If a is rate downstream and b is rate upstream   Rate in still water = 1/2(a+b)   Rate of current = 1/2(a-b)   => Rate in still water = 1/2(10+5) = 7.5 kmph   => Rate of current = 1/2(10-5) = 2.5 kmph   Option 7.5,2.5
Answer: B
If 6^r is a factor of (10!)^2, What is the greatest possible value of r ?	Choose the correct option
A) 2  B) 4  C) 6  D) 8  E) 10

Solution: r 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7   6= 2*3   Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -> higher number counts = 8 -> Answer Choice 8
Answer: D
In the following equation what value would come in place of question mark (?)?
5798 – ? = 7385 – 4632 Choose the correct choice from the following answers.
A) 3225  B) 2595  C) 2775  D) 3045  E) None of these above

Solution: ? = 5798 + 4632 – 7385 = 3045   Answer 3045
Answer: D
There are, in a certain league, 14 teams, and each team face another team for a total of 5 times. How many games are played in the season?
Answers: A) 455 B) 525 C) 1400 D) 180 E) 560

Solution: By using the formula, t[n(n - 1) / 2], where t = no. of games between two teams and n = total no. of teams, we get: 455   Option 455.
Answer: A