MU-NLPC/Calc-aqua_rat huggingface dataset:
A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 68 km downstream? Choices
A) 3 hours 30 minutes  B) 3 hours  C) 4 hours  D) 5 hours  E) None

Solution: Solution   Speed Downstream	= (15 + 4) km/hr   = 19 km/hr.   Time taken to travel 68 km downstream	=(68 / 19)hrs   = 3 hrs 30 mins.   3 hours 30 minutesnswer 3 hours 30 minutes
Answer: A
Two employees X and Y are paid a total of Rs.750 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?	Options.
A) s.200.90  B) s.250.90  C) s.290.90  D) s.300.90  E) s.340.90

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 750   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 750   ⇒ y[12/10 + 1] = 750   ⇒ 22y/10 = 750   ⇒ 22y = 7500   ⇒ y = 7500/22 = Rs.340.90   s.340.90)
Answer: E
Ganesh spends 30% of his monthly salary on food, 5% of the remaining on personal use and saves 80% of the remaining amount. If his monthly salary is Rs.12,000, how much money does he save every month ?	Choose the correct choice from the following answers
A) Rs.3500 B) Rs.4200 C) Rs.2000 D) Rs.1245 E) Rs. 6384

Solution: Explanation:   Ganesh's monthly income = Rs.12,000   He spends 30% on food.   The total money spent on food = 30/100 * 12000 = Rs. 3600   Now, his monthly remaining income = Rs.12000 – Rs.3600 = Rs. 8400   Out of Rs. 8400, he spends 5% for his personal use   The total money spent on his personal use = 5/100 * 8400 = Rs. 420   Now, his monthly remaining income = Rs.8400 – Rs.420 = Rs. 7980   Out of Rs. 7980, he saves 80%.   Amount saved = 80/100 * 7980 = Rs. 6384   ANSWRs. 6384R:Rs. 6384
Answer: E
What percent of 75 is 45?	Select the correct option:
A) 0.25%  B) 4%  C) 25%  D) 40%  E) 60%

Solution: 75*x /100 = 45   x = 4*45/3= 
4*45/3 = 60
60   Ans: 60%
Answer: E
If x and y are integers such that (x+1)^2 is less than or equal to 64 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?	Select
A) -16 B) -18 C) 0 D) 14 E) 16

Solution: (x+1)^2 <= 64   x <= 7   x >= -9   (y-1)^2 < 64   y < 9   y > -7   Max possible value of xy is -9 × -6 = 54   minimum possible value of xy is -9 × 8 = -72   -72 + 54 = -18   Answer : -18
Answer: B
A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.25 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 40 worth of diesel fuel?	Choose one:  A) 20 seconds  B) 1 minute  C) 1 minute 20 seconds  D) 20 minutes  E) 1 hour 20 minutes

Solution: No. of gallons = 40 / 1.25= 
40 / 1.25 = 32
32   for 2 gallons it takes 5 secs   for 32 gallons it will take 80 secs= 1 min and 20 secs   Answer: 1 minute 20 seconds
Answer: C
The owner of a furniture shop charges his customer 10% more than the cost price. If a customer paid Rs. 8800 for a computer table, then what was the cost price of the computer table?  Choose the correct option.
A) Rs.6725	B) Rs.6727	C) Rs.8000	D) Rs.6725	E) Rs.6728

Solution: CP = SP * (100/(100 + profit%))   = 8800(100/110) = Rs.8000.   Answer: Rs.8000
Answer: C
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ? Pick.
A) 639 B) 2079 C) 3791 D) 37911 E) None of these

Solution: 639 is not divisible by 7   2079 is divisible by each of 3, 7, 9, 11.   Answer: Option 2079
Answer: B
Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 30	Select: A) 2 B) 6 C) 15 D) 30 E) 91

Solution: 1(result) + (1*1) = 2.   2(result) + (2*2) = 6.   6(result) + (3*3) = 15.   15(result) + (4*4) = 31.   Now we are getting 31 not 30.. So 30 is the wrong number of the given.   answer : 30
Answer: D
How many terminating zeroes does 200! have? Choose the correct choice from the following options: A) 40 B) 48 C) 49 D) 55 E) 64

Solution: we must realize that the trailing zeros depend on the number of 10s (i.e. 10s or its multiples) in the factorial. 10=5*2, so we are looking for 5s and 2s. By virtue of being the more frequent number, we don't need to count the number of 2s, because there will always be equal or more 2s than 5s in a factorial. So, essentially we are looking for 5s and its exponents.   Start with finding 5s. 200/5= 40. So we have 40 fives (and 40 twos) which means we'll have 40 zeros. If the answer was a decimal, such as 201/5, round down.   Now look for two 5s, that is 25. So, 200/25= 8, so we have eight more zeros.   Lastly, 5^3= 125, and we have one such number in 200!, which gives us one more trailing zero. Therefore, we have 40+8+1= 
40+8+1 = 49
49 trailing zeros.   ANSWER:49
Answer: C
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?	Choose the correct choice from the following options:	A) 3944	B) 39288	C) 288	D) 266	E) 1881

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 58 = Rs. 3944.3944nswer: 3944
Answer: A
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?  Choose the correct choice from the following answers
A) Rs. 50000 B) Rs. 52000 C) Rs. 57000 D) Rs. 60000 E) Rs. 67000

Solution: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m   Total area of the hall to be covered with mat = 2(lb + bh + hl)   = 2(20 * 15 + 15 * 5 + 5 * 20)   =2(300 + 75 + 100)   = 2 * 475= 
2 * 475 = 950
950 sq. m   Total expenditure= 60 * 950   = Rs. 57000   Rs. 57000
Answer: C
A train 125 m long passes a man running at 5 km/hr in the same direction in which the train is going in 10 sec. The speed of the train is?  Choose the correct option:	A) 33 km/hr	B) 50 km/hr	C) 77 km/hr	D) 65 km/hr	E) 99 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer:50 km/hr
Answer: B
A train passes a station platform in 50 sec and a man standing on the platform in 20 sec. If the speed of the train is 72 km/hr. What is the length of the platform?  Choose the most appropriate option.
A) 550  B) 400  C) 700  D) 600  E) 850

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Length of the train= 20 * 20= 
20 * 20 = 400
400 m.   Let the length of the platform be x m . Then,   (x + 400)/50= 20 => x = 600 m.   Answer: 600
Answer: D
The L.C.M. of two numbers is 30. The numbers are in the ratio 2 : 3. Then sum of the number is:	Pick.
A) 25  B) 32  C) 40  D) 53  E) 54

Solution: Let the numbers be 2x and 3x.   Then, their L.C.M. = 6x.   So, 6x = 30 or x = 5.   The numbers are 10 and 15.   Hence, required sum = (10 + 15)= 
(10 + 15) = 25
25.   25nswer: Option 25
Answer: A
A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/15 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?  Choose one:
A) 1/5 B) 1/3 C) 1/2 D) 2/3 E) 3/4

Solution: Let P be the number of Progressives in the country as a whole.   In each province, the number of traditionalists is P/15   The total number of traditionalists is 5P/15 = P/3.   The total population is P + P/3 = 4P/3   P / (4P/3) = 3/4   The answer is 3/4.
Answer: E
A train running at the speed of 36 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice from the following choices:
A) 120 metres
B) 180 metres
C) 324 metres
D) 90 metres
E) 100 meters

Solution: Speed=36x5/18m/sec=30/3	m/sec.   Length of the train = (Speed x Time).   Length of the train =	30/3	x 9m = 90 m.   ANSWER:90 metres
Answer: D
Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 125 mangoes.  Choose the most appropriate option.
A) 360  B) 380  C) 400  D) 416  E) 412

Solution: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.   Method 1:   Let price per mango = x. Let number of mangoes be n. Then, nx = 360.   Now price = 0.9x; number of mangoes = n + 12. Total amount = 0.9x*(n+12) = 360.   nx = 0.9nx + 10.8x => 0.1nx = 10.8x => n = 108 => x = 360/108 = 3.33   Original price of 125 mangoes = 125*3.33 = 416.   Answer 416
Answer: D
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choose the correct choice from the following answers.
A) 2999	B) 2789	C) 3700	D) 1032	E) 1000

Solution: 2 * 22/7 * 1.75 * x   = 11000   x = 1000   Answer:1000
Answer: E
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train.
Choose the most appropriate option:	A) 200/3m	B) 100m	C) 50m	D) 100/3	E) none of these

Solution: A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.   Distance = Speed*time   The man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 25km/h. Therefore, the train is moving past the man at a total speed of 20km/h.   distance = speed * time   distance = 20km/h * 12 seconds   distance (length of train) = 66.6 m   200/3mNSWER: 200/3m) 200/3m
Answer: A
Three table runners have a combined area of 208 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Choices.
A) 22 square inches
B) 20 square inches
C) 24 square inches
D) 28 square inches
E) 30 square inches

Solution: Total = a + b + c - (sum of EX22 square inchesCTLY 2-group overlaps) - 2*(all three) + Neither   80%*175 = 208 - 24 - 2*(all three) + 0   2*(all three) = 208 - 24 - 140   all three = 22   22 square inchesnswer: 22 square inches
Answer: A
If f is a function defined for all k by f(k) = k^5/16, what is f((6/4)*k) in terms of f(k)?
Choose the correct choice.
A) 1/8 f(k)	B) 7.6 f(k)	C) 2 f(k)	D) 10 f(k)	E) 32 f(k)

Solution: f(k) = k^5/16   f((6/4)*k) = ((6/4)*k)^5/16 = 7.6 * (k^5/16) = 7.6 (k^5/16) = 7.6 f(k).   So answer is 7.6 f(k).
Answer: B
George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?
Choose the correct choice from the following answers: A) 16 B) 48 C) 64 D) 32 E) 8

Solution: Number of ounces per cylinder 8   Number of cylinders 6   Ounces needed 48   Ounces used 16   Answer 32
Answer: D
The jogging track in a sports complex is 726 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?	Choices:
A) 4.9 min  B) 5.28 min  C) 5.5 min  D) 6 min  E) 7 min

Solution: Clearly, the two will meet when they are 726 m apart.   To be (4.5 + 3.75)= 
(4.5 + 3.75) = 8.25
8.25 km apart, they take 1 hour.   To be 726 m apart, they take (100/825 * 726/1000) hrs= (242/2750 * 60)= 
(242/2750 * 60) = 132/25 = around 5.28
5.28 min.   ANSWER:5.28 min
Answer: B
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = -13? Choose the correct option.
A) -13  B) 7  C) 13  D) 14  E) 20

Solution: We know that t1 = 23   So, using the given formula we have:   t1=(t1-1) -3 =23   t0 - 3 = 23   t0= 26   The same way we find that t2= 20   It seems that the sequence goes like this:   t0 = 26   t1 = 23   t2 = 20   t3 = 17   t4 = 14   t5 = 11   t6 = 8   t7 = 5   t8 = 2   t9 = -1   t10 = -4   t11 = -7   t12 = -10   t13 = -13   So, ourANS is 13.
Answer: C
In 1979 approximately 1/3 of the 32.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
Choose the most appropriate option
A) 18.6	B) 9.3	C) 6.2	D) 1.33	E) 1.6

Solution: number of   passengers using Kennedy airport = 32/3 =~10.67   Passengers using Miami airport = 10.67/2=~5.34   passengers using logan airport = 5.34/4 =~1.33   so 1.33
Answer: D
Of the teams competing in the world archery championships, 10 percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.  Choose the correct choice from the following:
A) 13/20	B) 15/20	C) 13/15	D) 16/20	E) 13/17

Solution: Assume 100 total people.   10% of 100 = 10 --->Europeans   1/2 of 10 ---> 5 Americans   1/20 of 100 ---> 5 Africans   Now you would add them all up, and minus it by the total (100). 100 - 20= 80. So, 80 people out of 100 are not EU, US or Africans. 80/100 is also equal to 16/20.   So therefore, the answer is 16/20
Answer: D
A batsman in his 12th innings makes a score of 80 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?	Choose the correct choice from the following answers.
A) 42	B) 43	C) 44	D) 45	E) 47

Solution: Let ‘x’ be the average score after 12 th innings   ⇒ 12x = 11 × (x – 3) + 80   ∴ x = 47   Answer 47
Answer: E
Diane sold a book worth $ 850 at a loss of $ 180. Find the selling price of the book. Options.
A) $ 670  B) $ 680  C) $ 600  D) $ 700  E) $ 710

Solution: Cost Price = $ 850   Loss = $ 180   Since, Selling Price = Cost Price + Loss   Selling Price = 850 - 180= 
850 - 180 = 670
$670   Therefore, selling price of the book= $ 670   $ 670nswers: $ 670
Answer: A
In a group of 80 people,40 like movie,10 like both movie and series. How many like Series?
Choose the correct choice from the following
A) 30 B) 35 C) 40 D) 45 E) 50

Solution: Make a Venn diagram, and enter your data.   Let the number of people who like series be x   x + 10 + 30 = 80   x = 40   so number who like series = 10+40= 
10+40 = 50
50   Answer 50
Answer: E
X, 1320 , 1070 , -180, -6430	Choose one:
A) 1370 B) 6530 C) 6630 D) 6730 E) 6830

Solution: 1370-50*(5^0)=1320   1320-50*(5^1)=1070   1070-50*(5^2)=-180   -180-50*(5^3)=-6430   1370NSWER:1370.
Answer: A
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? Choices
A) 5%
B) 3 1/2%
C) 4%
D) 5 1/2 %
E) 6 %

Solution: Explanation:   150 = (750*5*R)/100   R = 4%   ANSWER IS 4%
Answer: C
The average (arithmetic mean) of six numbers is 7. If 3 is subtracted from each of four of the numbers, what is the new average?
Pick:
A) 1.5
B) 2
C) 3
D) 4
E) 5

Solution: Sum of 6 numbers = 6*7= 
6*7 = 42
42   If 3 is subtracted from each of four of the numbers , we subtract  3*4= 
 3*4 = 12
12 from the total sum   Sum of 6 number after subtracting 3 from each of four of the numbers= 42 - 12= 
42 - 12 = 30
30   New average= 30/6= 
30/6 = 5
5   Answer 5
Answer: E
A and B are two multiples of 36, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 9, how many multiples of 4 are there in Q?  Choose the correct answer
A) 18
B) 19
C) 20
D) 21
E) 22

Solution: Now given that Q is set the consecutive integers between A and B.   and Q contains 9 multiples of 9   Let take A as 36.   then 36 45 54 63 72 81 90 99 108...So B will 108.   Now let's check the multiples of 4 among this set   108 - 36 / 4 + 1 => 18 + 1= 
18 + 1 = 19
> 19   ANS option 19.
Answer: B
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? Choose the correct choice from the following choices
A) 9/11 B) 5/6 C) 7/20 D) 11/20 E) 9/20

Solution: Here, S = {1, 2, 3, 4, ...., 19, 20}.   Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.   P(9/20) = (9/20)/(S)   = 9 / 20   9/20
Answer: E
Jim drove 384 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?	Choose the correct answer:	A) 113 miles	B) 432 miles	C) 456miles	D) 816 miles	E) 767 miles

Solution: The number of miles to drive to finish his journey is given by   1200 - 384= 
1200 - 384 = 816
816 miles   correct answer 816 miles
Answer: D
A big container is 40% full with water. If 14 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Choose the correct choice from the following
A) 32
B) 36
C) 40
D) 44
E) 48

Solution: 14 liters is 35% of the capacity C.   14 = 0.35C   C = 14/0.35= 
14/0.35 = 40
40 liters.   The answer is 40.
Answer: C
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?  Options.
A) 11  B) 12  C) 13  D) 14  E) 15

Solution: Work done by P in 1 day = 1/23   Let work done by Q in 1 day = q   q × (130/100) = 1/23   => q = 100/(23×130) = 10/(23×13)   Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13   => P and Q together can do the work in 13 days   Answer is 13.
Answer: C
How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336,528,1320,660,1056
Choose the correct choice:
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: Explanation:   A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.   Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.   Also, 5184 is not divisible by 11.   Each one of remaining 8 is divisible by each one of 11, 3 and 4 and therefore, by 132.   Answer: 8
Answer: E
Dimitri weighs 3x-2x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight? Answers
A) y - x/2	B) 2x - y/2	C) (y - x)/2	D) y - 2x	E) 2x - y

Solution: These type of multi-variable story problems are usually perfect for TESTing VALUES.   Here, we're told that Dimitri weighs 3X-2X or X pounds more than Allen weighs and that they weight a combined TOTAL of Y pounds.   IF....   Dimitri = 30   Allen = 20   X = 10   Y = 50   We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.   Answer A:  50 - (10/2)= 
 50 - (10/2) = 45
45 NOT a match   Answer B: 20 - (50/2)= -5 NOT a match   Answer (y - x)/2: (50-10)/2 = 20 This IS a match   Answer D:   50 - 20= 
  50 - 20 = 30
30 NOT a match   Answer E: 20 - 50= -30 NOT a match   Final Answer:   (y - x)/2
Answer: C
The ratio of radius of a circle and the side of a square is 2 : 9. Find the ratio of their areas: Choose the correct answer
A) 2 : 1 B) 4 : 7 C) 8 : 77 D) 4 : 81 E) None

Solution: radius/side = 2/9   â‡’ area of circle/area of square= 4/81   Answer: 4 : 81
Answer: D
Two trains are approaching each other at 60 mph each. The length of each train is 1/6 miles. When the two locomotives(engines) meet, how many seconds will it take for them to pass each other completely?  Pick one.
A) 8 sec  B) 11 sec  C) 12 sec  D) 10 sec  E) 15 sec

Solution: total distance to cover= 2*(1/6)=2/6 miles   relative speed = 60+60= 
60+60 = 120
120mph   time taken= (2/6)/120*3600= 
(2/6)/120*3600 = 10
10 sec.   ANSWER:10 sec
Answer: D
The below sequence is a bit tricky. Can you solve it to find the next number?
6, 26, 326, 4326, ?	Select
A) 54326
B) 38291
C) 54325
D) 38290
E) 55291

Solution: See the pattern. With every digit, the previous numbers are added after that digit   So the next number in the series is 54326   54326nswer : 54326
Answer: A
There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 6, how many passengers were on the bus originally? Choose the correct choice from the following answers.
A) 128	B) 64	C) 32	D) 16	E) 8

Solution: Before stop 6, there were 2 passengers on the bus.   Before stop 5, there were 4 passengers on the bus.   etc...   Before stop x, there were 2^(7-x) passengers on the bus.   Before stop 1, there were 2^6 = 64 passengers on the bus.   The answer is 64.
Answer: B
If n is an integer greater than 9, which of the following must be divisible by13 ? Choose the correct answer
A) n(n + 5)(n – 6)
B) n(n + 4)(n – 2)
C) n(n + 2)(n – 1)
D) n(n + 1)(n – 4)
E) n(n + 3)(n – 5)

Solution: if n =10 , then n+3 is divisible by 13 ...   n(n + 3)(n – 5)
Answer: E
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.	Choose the correct option:
A) 150  B) 174  C) 180  D) 166  E) 165

Solution: Explanation:   Total runs scored by the player in 40 innings = 40 × 50   Total runs scored by the player in 38 innings after excluding two innings = 38 × 48   Sum of the scores of the excluded innings = 40 × 50 - 38 × 48 = 2000 - 1824= 
2000 - 1824 = 176
176   Given that the scores of the excluded innings differ by 172. Hence let's take   the highest score as x + 172 and lowest score as x   Now x + 172 + x= 176   => 2x = 4   => x =4/2= 
4/2 = 2
2   Highest score= x + 172 = 2 + 172= 
2 + 172 = 174
174   Answer: Option 174
Answer: B
What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-39)*(25-40)?
Select:
A) 0
B) 1
C) 25
D) less than -100,000
E) more than 100,000

Solution: One of the terms is (25-25) so the product is 0.   The answer is 0.
Answer: A
The average of 10 numbers is 23. If each number is increased by 3, what will the new average be? Choose the correct choice from the following choices
A) 36
B) 26
C) 72
D) 29
E) 22

Solution: Sum of the 10 numbers = 230   If each number is increased by 3, the total increase =   3 * 10 = 40   The new sum = 230 + 30= 
230 + 30 = 260
260 The new average= 260/10= 
260/10 = 26
26.   Answer:26
Answer: B
If h is a positive integer, and if the units' digit of h^2 is 4 and the units' digit of (h + 1)^2 is 1, what is the units' digit of (h + 2)^2 ?	Pick
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: A for me.   _1² = _1   _2² = _4   _3² = _9   _4² = _6   _5² = _5   _6² = _6   _7² = _9   _8² = _4   _9² = _1   _0² = _0   On the list, the only number that squared has the units digit = 4 preceding a number that squared has the units digit = 1 is the _8.   So, h = _8, that has square 4. The next square is 1 andnext nextsquare is 0.
Answer: A
Logx16=0.8 then what is the value of x ?
Answers.
A) 32 B) 34 C) 35 D) 36 E) 37

Solution: x^0.8=16   x=(2^4)^(10/8)   x=2^5   x=32   32NSWER:32
Answer: A
If n is a three-digit prime number and j is an integer, which of the following is NOT a possible value of k, where k is the smallest positive integer such that n – 5j = k?	Choose the correct choice from the following options.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: if k = 5, then n = 5j + 5 = 5(j+1)   => n is a multiple of 5, which contradicts what is stated in the question   Also, examples for other choices :     101 - 5* 20= 
  101 - 5* 20 = 1
1   103 - 5*20= 
103 - 5*20 = 3
3   107 - 5 * 21= 
107 - 5 * 21 = 2
2   109 - 5 * 21= 
109 - 5 * 21 = 4
4   5 is the correct answer
Answer: E
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of cows will be:	Choose the correct choice from the following answers.
A) 30	B) 23	C) 24	D) 26	E) 22

Solution: Explanation:   Let the number of hens be x and the number of cows be y.   Then, x + y = 48 .... (i)   and 2x + 4y = 140 x + 2y = 70 .... (ii)   Solving (i) and (ii) we get: x = 26, y = 22.   The required answer = 22.   Answer: 22
Answer: E