MU-NLPC/Calc-aqua_rat huggingface dataset:
If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?	Choose the correct option:
A) 7
B) 12
C) 9
D) 13
E) 11

Solution: Explanatory Answer   Key property about sides of an acute triangle   Finding the answer to this question requires that you know this key property about sides of an acute triangle.   For an acute angled triangle, the square of the LONGEST side MUST BE LESS than the sum of squares of the other two sides.   If 'a', 'b', and 'l' are the 3 sides of an acute triangle where 'l' is the longest side then l2 < a2 + b2   The sides are 10, 12, and 'x'.   Scenario 1: Among the 3 sides 10, 12, and x, for values of x ≤ 12, 12 is the longest side.   Scenario 2: For values of x > 12, x is the longest side   Possibilities in scenario 1: When x ≤ 12, let us find the number of values for x that will satisfy the inequality 122 < 102 + x2   i.e., 144 < 100 + x2   The least integer value of x that satisfies this inequality is 7.   The inequality will hold true for x = 7, 8, 9, 10, 11, and 12. i.e., 6 values.   Possibilities in scenario 1: When x > 12, x is the longest side.   Let us count the number of values of x that will satisfy the inequality x2 < 102 + 122   i.e., x2 < 244   x = 13, 14, and 15 satisfy the inequality. That is 3 more values.   Hence, the values of x for which 10, 12, and x will form sides of an acute triangle are x = 7, 8, 9, 10, 11, 12, 13, 14, 15. A total of 9 values.   9hoice 9
Answer: C
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 85. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x? Choose the correct choice from the following answers
A) 2  B) 5  C) 6  D) 15  E) 30

Solution: WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 85 customers per day.   30/5= 
30/5 = 6
6 days.Choice (A).   WITHthe formula, we can set up the following:   90= (85x + 120)/(x + 1)   90x + 90 = 85x + 120   5x = 30   x = 6Answer 6hoice (6)
Answer: C
The diagonals of the two squares are in the ratio of 7:9 find the ratio of their area Choose the correct choice from the following answers:  A) 78:89  B) 5:48  C) 49:81  D) 74:36  E) 25:49

Solution: let the diagonals of the square be 7x and 9x respectively .   ratio of their areas =1/2(7x)^2:1/2(9x)   = 49x^2:81x^2=49:81   Answer(49:81)
Answer: C
The 8 leaders of the G8 nations convene in Rome and stand in a row as they get ready to have some pictures of them taken by the press. What is the probability that the picture that the New York Times' editors will randomly select for publishing the next day is one in which Berlusconi is not standing next to Obama? (assuming that there are pictures of all possible standing arrangements).	Choose the correct choice from the following answers
A) 1/8
B) 1/4
C) 1/2
D) 3/4
E) 7/8

Solution: We'd have 7 units: 1, 2, 3, 4, 5, 6, and {Berlusconi, Obama}. These 7 units can be arranged in 7! ways. Berlusconi and Obama within their unit can be arranged in 2! ways. Thus the total number of ways to arrange 8 leaders so that Berlusconi and Obama to stand together is 7!*2!.   8 people without any restriction can be arranged in 8! ways, thus in 8! - 7!*2! arrangements Berlusconi and Obama will not not be standing together.   P=8!−7!∗2!8!=1−7!∗2!8!=1−14=34P=8!−7!∗2!8!=1−7!∗2!8!=1−14=34.   Answer: 3/4.
Answer: D
Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
Choose the correct choice from the following options:  A) A=30000 B=40000 C=48000  B) A=30000 B=40000 C=48200  C) A=30000 B=40900 C=48000  D) A=30000 B=40090 C=48000  E) A=30002 B=40000 C=48000

Solution: Compound ratio of A:B:C   A:B = 3:4   B:C = 5:6   ----------   A:B:C = 15:20:24   We can divide Rs.118000 in this ratio.   Share of A=30000 B=40000 C=48000 = 15/59 * 118000= 
15/59 * 118000 = 30_000
30000   Share of B= 20/59 * 118000= 
20/59 * 118000 = 40_000
40000   Share of C= 24/59 * 118000= 
24/59 * 118000 = 48_000
48000   A=30000 B=40000 C=48000nswer: A=30000 B=40000 C=48000
Answer: A
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5). What is the probability that only one of them is selected?	Choose the correct choice from the following choices
A) 1/7
B) 2/7
C) 3/7
D) 4/7
E) 5/7

Solution: P(A)=1/7   P(2/7)=1/5   P(A’)=6/7   P(2/7’)4/5   Required probability= P((A and 2/7’) or ( 2/7 and A’))   =(1/7x4/5)+(1/5x6/7)   =2/7   ANSWER 2/7 2/7
Answer: B
A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choose the most appropriate option:  A) 0.002%  B) 0.02%  C) 0.2%  D) 2%  E) 20%

Solution: In 20 days 20*0.01= 
20*0.01 = 0.2
0.2 ounces of water evaporated, which is 0.2/10∗100=2 of the original amount of water.   Answer: 2%.
Answer: D
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?	Choose the most appropriate option.
A) 34 D B) 40 D C) 38 D D) 50 D E) 60 D

Solution: M + Tu + W + Th = 4 * 48= 
4 * 48 = 192
192   Tu + W + Th + F= 4 * 46= 
4 * 46 = 184
184   M= 42   Tu + W + Th = 192 -42= 
192 -42 = 150
150   F= 184 â€“ 150 = 34   34 DNSWER 34 D
Answer: A
The height of a triangle is decreased by 25% and its base increased by 45%. Its area will
Choose the correct choice from the following answers:
A) decrease by 12.5%
B) increase by 8.75%
C) decrease by 25%
D) Increase by 25%
E) None of these

Solution: Explanation :   Let the initial height be 100 and the base be 200 units.   âˆ´ Area = 1/2 x 100 x 200 = 1000sq units   Now, height = 75 units and base = 290 units   âˆ´ New area = 1/2 x 75 x 290 = 10875   âˆ´ Area is increased by (10875 - 10000)/10000 x 10   = 8.75%   Answer : Option increase by 8.75%
Answer: B
If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?  Choices:	A) 620	B) 630	C) 616	D) 600	E) 650

Solution: We know 37.5 % people study biology,therefore the no of people not studying = 100 - 30= 
100 - 30 = 70
70%   > Therefore the people not studying biology out of a total 880 people are= 70 % of 880   >   (70/100)*880= 
  (70/100)*880 = 616
616 people   616
Answer: C
A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 450,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?  Choose the correct choice from the following answers:
A) a) 500
B) b) 750
C) c) 1,000
D) d) 1,250
E) e) 1,500

Solution: Since N = 2F, no of Florida zip codes (F) will be N/2.   Since N = 4A, no of Arizona zip codes (A) will be N/4   Since N = (4/3)C, no of California zip codes (C) will be 3N/4   N + N/2 + N/4 + 3N/4 = 5N/2 = 250   N = 100   C = 3N/4 = 75   No of orders is 25% of 450,000 = 112,500   So required ratio = 112,500/75 = 1500   Answerr e) 1,500
Answer: E
A garrison of 2000 men has provisions for 54 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 answer:  A) 1988  B) 1918  C) 1910  D) 1900  E) 1919

Solution: 2000 ---- 54   2000 ---- 39   x ----- 20   x*20 = 2000*39   x = 3900   2000   -------   1900   Answer: 1900
Answer: D
A certain car can travel 72 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)  Choose the correct choice:
A) 52
B) 65
C) 117
D) 91
E) 104

Solution: Fuel used 3.9 gallons ;convert to liters--> 3.9 x 3.8 liters   Time = 5.7 hours   1 mile = 1.6 kilometers ;convert to miles--> 1km = 1/1.6 mile   Speed (km/hour)  --  1= 
  --  1 = 1
1/1.6 mile   Speed (km/hour)= D/T = 72 (km*) x 3.9 x 3.8 / 5.7   replace (km*) to miles ; multiply by 1/1.6 mile   Speed (miles/hour)= 72x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles/hour   Ans :117   PS :i felt the factors were easy to cancel out ,so didn't require much rounding off   = 72 x 3.9 x 3.8 / 5.7 x 1.6   = 117 117
Answer: C
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with thrice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?  Choices:
A) $015
B) $0.20
C) $0.30
D) $0.40
E) $0.45

Solution: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;   On the second day 1 unit of orange juice and 3 units of water was used to make 4 units of orangeade;   So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 4. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 4.   We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 4 glasses on the second day.   Say the price of the glass of the orangeade on the second day was $x then 2*0.6=4*x --> x=$0.3.   Answer: $0.30.
Answer: C
If 4c + 4/c + 6/c + 6c is an integer, which of the following must also be an integer?	Choose the correct choice from the following choices.
A) 10/c B) 10+c/c^2 C) 10(c^2 + 1)/c D) c+15/c^2 E) c^2 -3/c

Solution: If 4c+6/c+4/c+6c is also integer.   i.e. 10(c^2 +1)/c is an integer.   Answer is 10(c^2 + 1)/c
Answer: C
In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?	Choose the correct option:	A) 70	B) 50	C) 40	D) 20	E) 30

Solution: 16+31+23= 
16+31+23 = 70
70   100-70= 
100-70 = 30
30   ANSW30R 30
Answer: E
In how many ways 3 Indians and 2 Englishmen can be seated in a row so that they are alternate?	Choose the correct choice from the following choices.
A) 11  B) 96  C) 12  D) 18  E) 256

Solution: number of ways = 3!*2! = 12   Answer is 12
Answer: C
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Choose the correct choice from the following: A) 180/63 days B) 160/13 days C) 180/13 days D) 680/13 days E) 180/63 days

Solution: One day work of A and B = 1/12   One day work of B and C = 1/30   One day work of C and A = 1/36   2(A + B + C) = 1/12 + 1/30 + 1/36   2(A + B + C) = 13/90   (A + B + C) = 13/180   Number of days required = 180/13 days.   Answer:180/13 days
Answer: C
How many factors of 660 are odd numbers greater than 1?  Choose the most appropriate option.
A) 3 B) 4 C) 5 D) 6 E) 15

Solution: When factorized, 660 has 5 prime factors. Of these prime factors 4 are odd and 1 is even. Hence total number of odd factors is 2*2*2*2(16), which includes 1. The total number of odd factors greater than 1 are 15.(option 15)
Answer: E
A retailer bought a machine at a wholesale price of $81 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?  Choose the correct answer
A) 81 B) 108 C) 120 D) 135 E) 160

Solution: My solution: Wholesale Price= 81   Retail Price, be = x   He provides 10 % discount on Retail price= x-10 x/100   This Retail price = 20 % profit on Wholesale price   x-10 x/100 = 81+ 1/5(81)   x=108;   ANSWER:108
Answer: B
The cost of producing x tools by a company is given by
C(x) = 1200 x + 5500 (in $)
a) What is the cost of 100 tools?  Choose the correct choice:
A) 125500 $	B) 125800 $	C) 125900 $	D) 126500 $	E) 122500 $

Solution: Solution   C(100) = 1200*100 + 5500= 
1200*100 + 5500 = 125_500
125500 $   125500 $nswer 125500 $
Answer: A
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?  Choose the correct option
A) 190 metres B) 160 metres C) 180 metres D) 120 metres E) 200 metres

Solution: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 18 s   Distance Covered, d = vt = (400/36)× 18 = 200 m   Distance covered is equal to the length of the train = 200 m   answer :200 metres
Answer: E
If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choose the correct choice from the following:
A) 3  B) 1  C) 2  D) 4  E) 5

Solution: Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.   x = 2.   2
Answer: C
Diesel costs Rs.4per lit and petrol costs5.23 per litre.If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take untill a litre of Diesel costs more thatn a litre of petrol.
Choose the correct option:
A) 9 months
B) 5 months
C) 6 months
D) 3 months
E) 2 months

Solution: Explanation :   =>In the First Month the price of the diesel would be 4*110/100= 
4*110/100 = 22/5 = around 4.4
4.4=>In the Second Month the price of the diesel would be 4.4*110/100= 
4.4*110/100 = 4.84
4.84=>In the Third Month the price of the diesel would be 4.84*110/100= 
4.84*110/100 = 5.324
5.324 which is higher than the   price of the petrol!   Answer : 3 months
Answer: D
A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work? Options.
A) 27 B) 26 C) 29 D) 25 E) 24

Solution: 27:B=2:1   27B'S together wrk in 18 days   27;s alone is 1/18*2/3=27 days   27NSWER:27
Answer: A
When a is divided by b, the quotient is c with remainder 2. What is a in terms of 2, b, and c?	Choose the correct choice
A) 2c-b  B) 2b-c  C) bc+2  D) b-c  E) b+c

Solution: a/b =c with remainder 2   i.e, a-2 = bc   a= bc+2   Answer : bc+2
Answer: C
The price of Maruti car rises by 30 percent while the sales of the car come down by 20%. What is the percentage change in the total revenue? Choose one:	A) - 4%	B) - 2%	C) + 4%	D) +2%	E) None of these

Solution: Solution: Let initial price of Maruti Car be Rs. 100.   As price increases 30%, price of car will become, (100 +30% of 100) = Rs. 130.   Due to increase in price, sales is down by 20%. It means, it is going make 20% less revenue as expected after increment of price.   So, New revenue = (130 - 20% of 130) = Rs. 104.   The initial revenue was Rs. 100 which becomes Rs. 104 at the end. It means there is 4% increment in the total revenue.   Mind Calculation Method:   100==30%↑(price effect)==>130==20%↓(sales effects)==>104.   Hence, 4% rises.   Answer: Option + 4%
Answer: C
Carolyn bought 15 gumballs, Lew bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
Choose the correct option:	A) 20	B) 22	C) 18	D) 24	E) 26

Solution: Smallest gumballs = (19-15) + (19-12) +19= 
(19-15) + (19-12) +19 = 30
30   Largest gumballs= (25-15) + (25-12) +25= 
(25-15) + (25-12) +25 = 48
48   Difference= 48 - 30= 
48 - 30 = 18
18   18
Answer: C
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school? Choose the correct choice from the following.
A) 400 B) 500 C) 800 D) 900 E) 1000

Solution: Let total number of boys be x and total number of girls be y. y=400=>x = 600and^= I50=>y = 200 Now, x + y = 800   800
Answer: C
In a business Ram invests Rs.60,000. After 6 months his uncle invests Rs.40,000. After one year they got a profit of Rs.12,000. Then uncle gets his share as  Choose the most appropriate option
A) Rs.2500	B) Rs.2000	C) Rs.1000	D) Rs.3000	E) Rs.4000

Solution: ram=60,000(12months)   uncle=(40000)(6months)   60000*12 : 40000*6   3 : 1   uncle share= (1/3+1)(12000)=3000   ANSWER:Rs.3000
Answer: D
If y > 0, (2y)/5 + (3y)/10 is what percent of y?
Choose the most appropriate option:
A) 40% B) 50% C) 60% D) 70% E) 80%

Solution: can be reduced to 2y/5+3y/10 =2y/5=70%   70%
Answer: D
The manufacturing cost of a shoe is Rs.200 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains Choose the correct choice from the following options:
A) s 222	B) s 246	C) s 220	D) s 210	E) s 217

Solution: Explanation :   Total cost of a watch = 200 + (500/100)= 
200 + (500/100) = 205
205.   Gain= 20% => SP = 1.2CP = 1.2 X 205 = 246   Answer : s 246
Answer: B
My friend collects antique stamps. she purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 800 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction? Choose the correct choice from the following answers:	A) 66.66	B) 66.69	C) 66.68	D) 66.67	E) 66.65

Solution: Explanation:   Selling prices were given. Assume that on the first stamp she made profit and on the second stamp she made loss.   So cost prices of the both stamps = 800120%+80080%800120%+80080% = 1666.66   So She incurred a loss of 66.66 rupees.   66.66nswer: 66.66
Answer: A
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? Pick:
A) 2999	B) 3000	C) 2777	D) 2999	E) 17212

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 7410= 
100/247 * 7410 = 3_000
3000   Answer:3000
Answer: B
Look at this series: 90, 88, 86, 84, 82, 80, 78, 76, ... What number should come next? Answers.
A) 72
B) 70
C) 77
D) 74
E) 78

Solution: Explanation:   In this series, each number 2 is subtracted to arrive at the next number.   Answer: Option 74
Answer: D
The average price of three items of furniture is Rs. 12000. If their prices are in the ratio 3:5:7, the price of the cheapest item is?
Choose the correct choice:
A) 2379  B) 2889  C) 9288  D) 7200  E) 28311

Solution: Let their prices be 3x, 5x and 7x.   Then, 3x + 5x + 7x = (12000 * 3) or x = 2400.   Cost of cheapest item = 3x = Rs. 7200.   Answer: 7200
Answer: D
The smallest number which when diminished by 6, is divisible by 12, 16, 18, 21 and 28 is Select the correct option.
A) 1008 B) 1014 C) 1022 D) 1032 E) 1043

Solution: Required Number = (L.C.M of 12, 16, 18,21,28)+6   = 1008 + 6= 
1008 + 6 = 1_014
1014   Answer: 1014
Answer: B
Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 50 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters? Choose the most appropriate option:
A) 250  B) 300  C) 350  D) 400  E) 500

Solution: Nice problem. +1.   First timetogetherthey run half of the circumference.   Second timetogetherthey run full circumference.   First time Brenda runs 50 meters, thus second time she runs 2*50= 
2*50 = 100
100 meters.   Since second time (when they run full circumference) Brenda runs 200 meters and Sally runs 150 meters, thus the circumference is 100 + 150= 
100 + 150 = 250
250 meters.   250nswer: 250.
Answer: A
If 50% of x is 20 less than 5% of 500, then x is? Pick one: A) 50 B) 100 C) 75 D) 25 E) 10

Solution: 50% of x = x/2 ; 5% of 500 = 5/100 * 500= 
5/100 * 500 = 25
25   Given that, x/2= 25 - 20 => x/2 = 5 => x = 10.   Answer: 10
Answer: E
The value of x + x(xx) when x = 2 is:	Choose one:  A) 10  B) 16  C) 18  D) 36  E) 64

Solution: x + x(xx)   Put the value of x = 2 in the above expression we get,   2 + 2(22)   = 2 + 2(2 × 2)   = 2 + 2(4)   = 2 + 8= 
2 + 8 = 10
10   10nswer: (10)
Answer: A
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?  Pick one.
A) 1000  B) 1300  C) 1450  D) 1540  E) 2000

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   and 5x art books = 2000   2000
Answer: E
What will be the remainder when 13^36 is divided by 2196? Choices: A) 0 B) 1 C) 12 D) 2195 E) 5

Solution: In such Qs, best is to get the dividend and divisor in some friendly figures..   13^36=(13^3)^12=2197^12=(2196+1)^12   when (2196+1)^12 is divided by 2196, all terms in the expansion are divisible by 2196 except 1^12, so the remainder will be 1   ANSWER:1
Answer: B
On decreasing the price of a colour TV by 10%, its sale is increased by 15%. The effect on the revenue is?	Pick:
A) 4.5% decrease  B) 4.5 % increase  C) 16% decrease  D) 16% increase  E) none of these

Solution: Net% change in revenue   = ( x + y + xy/100) %   = [-10 + 15 + ( -10 x 15)/100]% or 3.5%   ANSWnone of theseR:3..5
Answer: E
A company produces 120000 bottles of water everyday. If a case can hold 12 bottles of water .How many cases are required by the company to hold its one day production	Select:
A) 2000  B) 4500  C) 5000  D) 8000  E) 10000

Solution: Number of bottles that can be held in a case = 12   Number of cases required to hold 120000 bottles = 120000/12= 
120000/12 = 10_000
10000 cases.   So the answer is 10000=10000
Answer: E
If s, t, and u are distinct positive prime numbers, then (s^3)(t)(u) has how many different positive factors greater than 1? Pick:
A) a. 8
B) b. 9
C) c. 12
D) d. 7
E) e. 27

Solution: Let Number is (s^3)(t)(u) = (1^3)(5)(6) = 30   We can write 30 as product of two numbers in following ways   1*30   2*15   3*10   5*6   4 cases = 4*2 i.e. 8 factors (including 1)   Factors greater than 1 = 7   Answer: Option d. 7
Answer: D
Distances from you to Man united is written below.
CHELSEA and ARSENAL are 700 kms away
SPURS 1800 kms away
WOLVES 200 kms away
Based on the system , How far should it be to MANCITY ? Choose one:
A) 2100 miles.  B) 2200 miles.  C) 2300 miles.  D) 2400 miles.  E) 2100 miles.

Solution: E   2100 miles.   2100 miles.ach vowel equivalent to 500 and each consonant equivalent to -200
Answer: E
The average weight of 12 persons is 50 kg. On replacing a man whose weight is 53 kg. with a new man, new average becomes 49 kg. The weight of the new man is: Answers:	A) 22	B) 41	C) 37	D) 29	E) 11

Solution: Explanation:   Sum of the weights of all 12 persons = 12 × 50 = 600   Sum of the weights of all 12 persons after replacement = 12 × 49 = 588   The difference is because of one person with 53 kg is replaced by another one. So his weight must be   53 - 12= 
  53 - 12 = 41
41   Answer41
Answer: B
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 12. What is the total number of students in the school?  Choose the correct option:
A) 72 B) 80 C) 25 D) 150 E) 100

Solution: Explanation: Let the number of students be x.   Then, Number of students above 8 years of age = (100 - 20)= 
(100 - 20) = 80
80% of x.   80% of x= 12 + 2/3 of 12   80/100x = 20   x = 25.   Answer: Option 25
Answer: C