MU-NLPC/Calc-aqua_rat huggingface dataset:
Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Pick.
A) 15:8  B) 15:5  C) 15:9  D) 15:2  E) 15:3

Solution: Given that train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds.   Let the length of train P be LP and that of train Q be LQ   given that LP = 3/4 LQ   15:8s the train P and Q crosses the pole in 30 seconds and 75 seconds respectively,   => Speed of train P = VP = LP/30   Speed of train Q = VQ = LQ/75   LP = 3/4 LQ   => VP = 3/4 LQ/(30) = LQ/40   Ratio of their speeds = VP : VQ   = LQ/40 : LQ/75 => 1/40 : 1/75 = 15:8   15:8nswer:15:8
Answer: A
Find the greatest number which leaves the same remainder when it divides 20, 40 and 90.
Choices
A) 18	B) 8	C) 12	D) 10	E) None of these

Solution: 90 - 40= 
90 - 40 = 50
50   40 - 20= 
40 - 20 = 20
20   90 - 20= 
90 - 20 = 70
70   The H.C.F of 20, 50 and 70 is 10.   ANSWER:10
Answer: D
It takes one machine 5 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Pick:
A) a) 7/12  B) b) 1 1/2  C) c) 2 2/9  D) d) 3 1/2  E) e) 7

Solution: RT = W   Given:   R = 1/5 + 1/4 = 9/20   T = ?   W = 1   T = 1 / (9/20) = 20/9 = 2 2/9   Answer: c) 2 2/9
Answer: C
What is the least number to be subtracted from 990 to make it a perfect square?	Choose the correct choice from the following:
A) 100
B) 90
C) 30
D) 71
E) 80

Solution: The numbers less than 990 and are squares of certain number is 900.   The least number that should be subtracted from 990 to make it perfect square = 990 - 900= 
990 - 900 = 90
90.   ANSWER:90
Answer: B
The area of a triangle is with base 4m and height 5m?
Select the correct option:
A) 20 m2	B) 10 m2	C) 82 m2	D) 54 m2	E) 28 m2

Solution: 1/2 * 4 * 5= 
1/2 * 4 * 5 = 10
10 m2   Answer:10 m2
Answer: B
When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?	Pick one
A) 8/27	B) 10/31	C) 12/37	D) 14/41	E) 16/49

Solution: One case is: 1/3*1/3*2/3*2/3=4/81   The total number of possible cases is 4C2 = 6   P(event 8/27 occurs exactly twice) = 6*(4/81) = 8/27   The answer is 8/27.
Answer: A
After spending 40 percent machinery, 25 percent in building , 15 percent in raw material and 5 percent on furniture . John had a balance of Rs.1305. Total money with him was?
Pick:
A) 7800	B) 8700	C) 9000	D) 9200	E) 9300

Solution: [100 - (40+25+5+15)] % of x = 1305   \inline \Rightarrow 15% of x =1305   \inline \Rightarrow \frac{15}{100}\times x=1305   \inline \therefore x=\frac{1305\times 100}{15}=8700   8700
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct choice from the following options:  A) 10  B) 99  C) 88  D) 77  E) 52

Solution: 36 * 5/18= 
36 * 5/18 = 10
10 mps   10nswer: 10
Answer: A
The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 21 and 23. The larger of the two numbers is
Answers:
A) 276	B) 299	C) 312	D) 460	E) None

Solution: Solution   Clearly, the numbers are (20 x 21) and (20 x 23).   Larger number = (20 x 23)	= 460.   Answer 460
Answer: D
A 12 by 16 rectangle is inscribed in circle. What is the circumference of the circle?
Choose the correct answer:
A) 5π
B) 10π
C) 15π
D) 20π
E) 30π

Solution: The diagonal of the rectangle will be the diameter of the circle.   and perimeter= 2*pi*r   Ans: 20π
Answer: D
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 3 cups of tea. Last week Mo drank a total of 20 cups of tea and hot chocolate together. If during that week Mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choose the correct choice from the following.
A) 4 B) 3 C) 2 D) 5 E) 6

Solution: T= the number of cups of tea   C= the number of cups of hot chocolate   T+C = 20 T-C=10 -> T= 15. C=5.   Mo drinks 3 cups of tea a day then number of days that are not rainy = 15/3= 
15/3 = 5
5   So number of rainy days= 7-5= 
7-5 = 2
2   2 is the answer.
Answer: C
A company, Chauncy Co., has an annual travel budget of $55,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on non transportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choose the correct option
A) Expenses will not go over the budget.
B) $500
C) $4,225
D) $5,725
E) $60,725

Solution: Annual travel budget of $55,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 55000-60725 = 5725   Answer: Option $5,725
Answer: D
A train moves with a speed of 108 kmph. Its speed in metres per second is	Choose the correct choice from the following: A) 10.8 B) 18 C) 30 D) 38.8 E) None

Solution: Solution   Speed	= 108 Kmph   = (108 x 5/18)m/sec   = 30 m/sec.   Answer 30
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 96km/h, what is the circumference of the tire?	Choose the correct option
A) 2 meters B) 4 meters C) 5 meters D) 3 meters E) 7 meters

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 96,000 m : C is the circumference   C = 4 meters   correct answer 4 meters
Answer: B
In how many years, Rs. 150 will produce the same interest at 6% as Rs. 500 produce in 2 years at 4½% ?  Choose the correct choice from the following choices
A) 4 years	B) 5 years	C) 8 years	D) 9 years	E) 12 years

Solution: Explanation :   Let Simple Interest for Rs.150 at 6% for n years = Simple Interest for Rs.500 at 4½ % for 2 years   150×6×n/100=500×9/2×2/100   150×6×n=500×9/2×2   150×6×n=500×9   n=5 years   Answer : Option 5 years
Answer: B
On Monday, a certain animal shelter housed 58 cats and dogs. By Friday, 1/6 of the cats and 1/5 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday? Choose the correct choice from the following answers.
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: To maximize the number of pets adopted, we should maximize the number of dogs adopted since 1/5 > 1/6.   The greatest multiple of 5 less than 58 is 40 (such that the remaining number is divisible by 6), so let's assume there were 40 dogs and 18 cats.   Then the maximum number of adopted pets is 1/5*(40) + 1/6*(18) = 8 + 3= 
8 + 3 = 11
11.   The answer is 11.
Answer: E
Along a yard 414 metres long, 24 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees	Choose the correct option.
A) 18 B) 19 C) 10 D) 11 E) 12

Solution: Explanation:   24 trees have 23 gaps between them,   Required distance (414/23)= 
(414/23) = 18
18   Option 18
Answer: A
If 7 and 11 are prime numbers, which of the following CANNOT be the sum of a and b?
Choose one.
A) 18
B) 36
C) 19
D) 54
E) 72

Solution: ANS = 19
Answer: C
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 240 m in length?	Choose the most appropriate option
A) 18.9 sec
B) 88.9 sec
C) 22.9 sec
D) 21.00 sec
E) 72.0 sec

Solution: 21.00 sec = 110 + 240= 
110 + 240 = 350
350 m   S= 60 * 5/18 = 50/3   T = 350 * 3/50= 
350 * 3/50 = 21
21.00 sec   Answer: 21.00 sec
Answer: D
An investor deposited $5,000 to open a new savings account that earned 8 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 answer
A) $5050  B) $5101  C) $5202  D) $5303  E) $5404

Solution: The amount in the account after 6 months is 1.02*1.02($5,000) = $5202   The answer is $5202.
Answer: C
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 8, 14 and 16. What is the range in the number of years of service of the eight employees? Choose the correct choice
A) 10  B) 11  C) 12  D) 13  E) 14

Solution: = 17-6= 
17-6 = 11
11   Answer 11
Answer: B
How many litres of pure acid are there in 8 litres of a 20% solution Answers.
A) 1.5	B) 1.6	C) 1.7	D) 1.8	E) 1.9

Solution: Explanation:   Question of this type looks a bit typical, but it is too simple, as below...   It will be   8 * 20/100= 
  8 * 20/100 = 8/5 = around 1.6
1.6   Answer: Option 1.6
Answer: B
There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 20% of all the students at Morse have cars, how many students are in the three lower grades?  Options.
A) 600  B) 900  C) 1200  D) 1350  E) 1500

Solution: Let x be the number of students in the lower three grades.   0.1x + 150 = 0.2(x+300)   0.1x = 900   x = 900   The answer is 900.
Answer: B
A garrison of 2000 men has provisions for 60 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choose the correct option.
A) 1500 B) 1893 C) 1979 D) 1900 E) 1278

Solution: 2000 ---- 60   2000 ---- 45   x ----- 20   x*20 = 2000*45   x = 4500   2000   -------   1500   1500nswer: 1500
Answer: A
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent Q of her bushes have only yellow roses?  Choose the correct choice from the following options:  A) 20  B) 30  C) 50  D) 70  E) 80

Solution: let, the number of bushes with only yellow flowers be x   so, number of bushes with only yellow flowers will be 1.5x   if total number of bushes of flowers= T   then total number of bushes with yellow flowers= 0.8T   we can say that total number of bushes with yellow flowers+ bushes with only white flowers= total number of bushes with flowers   so, 0.8T+x=T   x=0.2T   so,Q= 1.5x=0.3T   30% flowers are yellow flowers   OA 30
Answer: B
The sum of three numbers is 245. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :  Options.
A) 20
B) 30
C) 38
D) 48
E) 75

Solution: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15   and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24   Therefore, A : B : C = 10 : 15 : 24   ∴ A : B : C = 10 : 15 : 24   Let the number be 10x, 15x and 24x.   Then, 10x + 15x + 24x = 245   or 49x = 245 or x = 5   ⇒ Second number = 15x = 15 × 5 = 75   Answer 75
Answer: E
During the months May through October, Teddy the bear septuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?  Choose the correct choice from the following answers
A) 49m - 1300 B) 49m - 1200 C) 7m - 1300 D) 7m - 1200 E) 7m

Solution: Nov ' 73 = m   49m - 1300pril ' 74 = m - 100   Oct ' 74 = 7m - 300   49m - 1300pril' 75 = 7m - 400   Oct' 75 = 49m - 1200   49m - 1300pril'76 = 49m - 1300   Hence answer will be (49m - 1300) 49m - 1300
Answer: A
The area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm. What is the perimeter of the square?
Answers: A) 80 cm B) 100 cm C) 120 cm D) 140 cm E) 160 cm

Solution: Area of the square = s * s = 4(25 * 16)   => s * s= 2 * 2 * 5 * 5 * 4 * 4   => s =2 * 5 * 4= 
2 * 5 * 4 = 40
40 cm   Perimeter of the square= 4 * 40= 
4 * 40 = 160
160 cm.   Answer: 160 cm
Answer: E
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?	Pick
A) 288
B) 277
C) 786
D) 791
E) 380

Solution: The total number of stations = 20   From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 20P2 ways.   20P2 = 20 * 19= 
20 * 19 = 380
380.   Answer: 380
Answer: E
A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/2 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?	Choose the correct choice from the following answers:	A) 2.5%	B) 20%	C) 28.3%	D) 45.2%	E) 73.6%

Solution: Fiction Novels = 5,508   Transferred to another location = 6,120   Transferred fiction novels = 3,060   Non Transferred Fiction Novels = 2,448   Percent of the remaining collection was fiction novels = 2,448/(18360 - 6120 ) * 100 => 20%   Hence answer will be (20%)
Answer: B
Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 35-ounce cans or 25-ounce cans of chili paste. If the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs, then how manysmallercans are required to fulfill its weekly needs? Options:
A) 60  B) 70  C) 80  D) 100  E) 120

Solution: let x be the number of 35 ounce cans. Therefore (x+20) is the number of 25 ounce cans.   Total volume is same, therefore   35x=25(x+20)   10x=500   x=50   Therefore, number of 15 ounce cans=50+20= 
50+20 = 70
70   Ans - 70
Answer: B
Evaluate 30!/28!  Choose the most appropriate option.
A) 720  B) 600  C) 870  D) 910  E) 650

Solution: we have 30!/28! = 30*29*28!/28! = 30*29= 
30*29 = 870
870   Answer is 870
Answer: C
Last year the price per share of Stock Y increased by s percent and the earnings per share of Stock Y increased by t percent, where s is greater than t. By what percent did the ratio of price per share to earnings per share increase, in terms of s and t?
Choose one
A) [100(s – t)] / (100 + s + t) % B) [100(s – t)] / (100 + s) % C) 100*(s-t)/(100+t) % D) (s – t) % E) t/s %

Solution: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases   After the increase the new price is: P*(1+s/100) and the new earning is: E*(1 + t/100)   The new P/E is: (1+s/100)P/(1+t/100)E   The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:   [(1+s/100)/(1+t/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:   100*(s-t)/(100+t) % Answer : 100*(s-t)/(100+t) %
Answer: C
The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?
Pick one
A) 0.2 B) 0.25 C) 0.3 D) 0.35 E) 0.5

Solution: Blood group -	frequency   A - 50   B - 65   O - 70   AB - 15   Let P(E) be the event of getting O blood group   P(E) = Frequency for O blood group / Total frequencies in the above table   = 70 / (65+50+70+15)   = 70 / 200= 
70 / 200 = 7/20 = around 0.35
0.35   My answer is (0.35)
Answer: D
How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A. 3.5 years  Pick
A) 7 years  B) 4 years  C) 5 years  D) 3 years  E) 1 years

Solution: Time = (100 * 81) / (450 * 4.5)= 
(100 * 81) / (450 * 4.5) = 4
4 years.Answer:4 years
Answer: B
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.  Choose the correct choice from the following answers.
A) 110 B) 112 C) 114 D) 116 E) 119

Solution: Total no' of arrangements 5P5 = 5! = 120   no' of arrangements start with AE = 1 × 6 = 6   no' of arrangements which do not start with AE = 120 - 6= 
120 - 6 = 114
114.   114
Answer: C
What is the present worth of Rs. 198 due in 2 years at 5% simple interest per annum?
Options:
A) 128
B) 277
C) 180
D) 888
E) 171

Solution: Let the present worth be Rs. x. Then,   S.I. = (198 - x)   (x * 5 * 2) / 100 = (198 - x)   10x = 19800 - 100x   110x = 19800 => x = 180.   Answer: 180
Answer: C
At the store, Sam bought a shirt and a toaster. There was a 6% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax? Choose the correct answer:
A) 0.94(K – T) B) 0.94K – T C) 0.94(K – 1.06T) D) (K – T)/1.06 E) (K/1.06) – T

Solution: 1.06S + 1.06T = K   1.06S = K - 1.06T   S = (K/1.06) - T   The answer is (K/1.06) – T.
Answer: E
A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 20 Gallons of water and 40 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?  Choose the correct choice from the following choices:  A) 300  B) 75  C) 100  D) 150  E) 175

Solution: Nope, 150. I can only get it by following PR's backsolving explanation. I hate that.   Original mixture has 20% salt and 80% water.   Total = x   Out of which Salt = 0.2x and water = 0.8x   Now, 1/4 water evaporates and all salt remains.   So what remains is 0.2x salt and 0.6x water.   Now 40 gallons salt is added and 20 gallons of water is added.   So salt now becomes -> (0.2x + 40) and water --> (0.6x+20)   Amount of salt is 33.33% of total. So amount of water is 66.66%. So salt is half of the volume of water.   So (0.2x+40) = (0.6x+20)/2 => 0.4x+80 =0.6x+20 =>0.2x =60   Solving, x = 300   300nswer : 300
Answer: A
Two partners (Pella and Leon) invested Rs.7000 and Rs.18000, respectively in a business. Pella runs the business while Leon is a sleeping partner in the business. Pella receives 6% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.8500, how much did Pella receive? Choices:
A) 3004.84	B) 3019.84	C) 2747.2	D) 3059.84	E) 3029.84

Solution: ratio of their investments Rs.7000:18000=7:18   6% of the profit for managing the business =6/100*8500= 
6/100*8500 = 510
510   remaining profit=8500-510= 
8500-510 = 7_990
7990   share profit in ratio of investment 7990/25= 
7990/25 = 1_598/5 = around 319.6
319.6   Pella's ratio share=7*319.6= 
7*319.6 = 2_237.2
2237.2   total money Ben collects=2237.2+510= 
2237.2+510 = 2_747.2
2747.2   Answer: 2747.2
Answer: C
X is an even number and Y is a positive odd number. Which of the following expressions cannot be even?	Select the correct option
A) (XY)^Y	B) X^3Y^3	C) X^3	D) XY	E) Y^2

Solution: If x is even, let x = 0 and see what happens.   A. [(0)(Y)]^Y = 0 (EVEN - ELIMINATE)   B. 0³Y³ = 0 (EVEN - ELIMINATE)   C. 0³ = 0 (EVEN - ELIMINATE)   D. (0)Y = 0 (EVEN - ELIMINATE)   E. Y²   Answer:Y^2
Answer: E
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 20,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?  Choose the correct choice from the following: A) 1 million B) 1.25 million C) 10 million D) 12.7 million E) 125 million

Solution: If you type that into the calculator, it results in 12.8 mil   [D], 12.7 mil, is the correct answer... see 2 posts above for quick approx method
Answer: D
Using all the letters of the word "THURSDAY", how many different words can be formed?	Choose one.
A) 9  B) 8!  C) 5  D) 7  E) 3

Solution: Total number of letters = 8   Using these letters the number of 8 letters words formed is 8P8   = 8!.   Answer:8!
Answer: B
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?	Choose one
A) 87
B) 78
C) 25
D) 17
E) 16

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
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?  Choose the correct choice from the following options
A) 100 m B) 190 m C) 115 m D) 110 m E) 150 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 6= 
50/3 * 6 = 100
100 m   100 mnswer: 100 m
Answer: A
Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, 38, 48, 59___?
Select:
A) 35  B) 36  C) 37  D) 71  E) 89

Solution: The numbers increase at a somewhat steady rate, so you have to figure out how much   you have to add to each number to produce the next in the sequence:  3 + 5= 
 3 + 5 = 8
8; 8 + 6= 14;    14 + 7= 
 14 + 7 = 21
21; 21 + 8= 29, and so on. The rule for the sequence is to add successively larger   numbers to each number; therefore, the next number is   59 + 12= 
  59 + 12 = 71
71.   correct answer 71)71
Answer: D
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?	Options
A) 16%
B) 16.66%
C) 16.69%
D) 16.98%
E) 17%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: B
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?	Options: A) 15 m, 12 m B) 15 m, 11 m C) 15 m, 20 m D) 15 m, 10 m E) 15 m, 11 m

Solution: lb = 150   2(l + b) = 50 => l + b = 25   l – b = 5   l = 15 b = 10   15 m, 10 m
Answer: D
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Select the correct option
A) 88 Kmph
B) 89 Kmph
C) 72 Kmph
D) 16 Kmph
E) 18 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/20= 
400/20 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   Answer: 72 Kmph
Answer: C
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Pick
A) 30% B) 100/3% C) 35% D) 44% E) 48%

Solution: Some articles were bought at 6 articles for Rs. 5   and sold at 5 articles for Rs. 6.   6 articles are sold for Rs 6*6/5= Rs 36/5   profit on Rs 5 = 36/5 -5 = Rs. 11/5   % profit = 100*(11/5)/5 = 100*11/25= 
100*11/25 = 44
44%   ANSWER:44%
Answer: D
(17)4.25 x (17)? = 178
Options: A) 2.29 B) 2.75 C) 4.25 D) 3.75 E) None of these

Solution: Solution   let (17)4.25 * (17)x = 178. then, (17)4.25 + x = (17)8.   ∴ 4.25 + x = 8 ⇔ x = (8 - 4.25)= 
(8 - 4.25) = 3.75
3.75   Answer 3.75
Answer: D
A number x is multiplied by 3, and this product is then divided by 7. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?	Choose one
A) 25/9
B) 3/7
C) 5/3
D) 3/5
E) 9/25

Solution: sqrt(3x/7) to be perfect square x has to 3/7   Ans: 3/7
Answer: B
If m=m6−−√m=m6 , which of the following could be the value of m?  Choose the correct choice.
A) 1/6  B) 6  C) 36  D) 63  E) 64

Solution: Volume of a sphere = 4/3*pi.R^3   Surface area of a sphere = 4*pi.R^2   given V = 2SA   4/3*pi.R^3 =2* 4*pi.R^2   => R =6   Option 63
Answer: D
Four children — A, B, C, and D — are going to sit in four chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
Pick one
A) 6  B) 12  C) 18  D) 24  E) 30

Solution: The number of ways to seat 4 people is 4! = 24.   Child C will sit to the left of Child D in exactly half of these arrangements.   The total number of possible arrangements is 24/2= 
24/2 = 12
12   The answer is 12.
Answer: B