MU-NLPC/Calc-aqua_rat huggingface dataset:
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 37 grams of protein daily, how many grams of food X are in the mixture.
Choose the correct choice from the following options:
A) 100 B) 140 C) 150 D) 160 E) 200

Solution: Let x be the amount of food X.   0.1x + 0.15(300-x) = 37   0.05x = 8   x = 160   The answer is 160.
Answer: D
In the Hillside summer camp there are 100 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?	Choose the correct choice from the following answers:  A) 150.  B) 145.  C) 100.  D) 30.  E) 25.

Solution: Given there are 100 students , 90% of 50 = 90 boys and remaining 10 girls.   Now here 90% are Boys and 10% are Girls.   Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..   If we add 1000 to existing 90 then the count will be 190 and the girls number will be 10 as it.   Now boys are 95% and girls are 5%. ( out of 200 students = 190 boys + 10 girls ).   IMO option 100. is correct.
Answer: C
A,B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400 for 8 Months and C Rs.1000 for 10 months. They gain Rs.585 altogether. Find the share of B. Choose the most appropriate option:
A) Rs.252 B) Rs.258 C) Rs.296 D) Rs.256 E) Rs.253

Solution: Rs.252NSWER:Rs.252
Answer: A
If 2/a + 3/a + 4/a is an integer, which of the following must also be an integer? Choose the correct choice from the following options:  A) 12/a  B) 3/a  C) 6/a  D) 9/a  E) 15/a

Solution: If 2/a + 3/a + 4/a; then (2+3+4)/a is also integer.   i.e. 9/a is an integer..Answer 9/a.
Answer: D
How much is 60% of 40 is greater than 4/5 of 30?
Choose one:
A) 8
B) 3
C) 7
D) 0
E) 1

Solution: (60/100) * 40 â€“ (4/5) * 30   24 - 24= 
24 - 24 = 0
0   Answer: 0
Answer: D
If a 10 percent deposit that has been paid toward the purchase of a certain product is $55, how much more remains to be paid?  Choose one.
A) $455  B) $495  C) $525  D) $550  E) $585

Solution: 90% remains to be paid so the remaining amount is 9*55= 
9*55 = 495
$495.   The answer is $495.
Answer: B
Find a sum for 1st 8 prime number's?	Choose the correct choice from the following choices
A) 25  B) 28  C) 30  D) 77  E) 36

Solution: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19)= 
(2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) = 77
77   Note: 1 is not a prime number   Option 77
Answer: D
Brandi received a 10% raise each month for four consecutive months. What was her salary after the four raises if her starting salary was $1,000 per month?  Pick one
A) $1,248.03
B) $1,300.09
C) $1,331.12
D) $1,410.15
E) $1,464.10

Solution: 1000 * 1.1 * 1.1 * 1.1 * 1.1 = 1000 * 1.4641= 
1000 * 1.4641 = 1_464.1
1464.10   Answer: $1,464.10
Answer: E
By selling 50 meters of cloth. I gain the selling price of 18 meters. Find the gain percent? Options
A) 42 7/7%
B) 42 5/8%
C) 56 1/4%
D) 42 6/8%
E) 42 1/7%

Solution: SP = 56 1/4%P + g   50 SP = 50 56 1/4%P + 18 SP   32 SP = 50 56 1/4%P   32 --- 18 56 1/4%P gain   100 --- ? => 56 1/4%   Answer: 56 1/4%
Answer: C
Indu gave Bindu Rs.3750 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Choose the correct option
A) 5  B) 6  C) 9  D) 3  E) 1

Solution: 3750   = D(100/4)2   D = 6   Answer: 6
Answer: B
A man took loan from a bank at the rate of 8% p.a. simple interest. After 4 years he had to pay Rs. 6200 interest only for the period. The principal amount borrowed by him was:  Pick one:
A) Rs.17322
B) Rs.20245
C) Rs.18230
D) Rs.18375
E) Rs.19375

Solution: Rs.19375xplanation :   Principal(P) = ?   Time(T) = 4 years   Simple Interest(SI) = Rs.6200   R = 8%   P = 100×SI/RT   =100×6200/8×4   =Rs.19375   Answer : Option Rs.19375
Answer: E
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 432, what is the greatest possible profit that might be made in selling eight books ?
Choose the correct choice.
A) 23267 B) 2677 C) 1856 D) 2778 E) 76611

Solution: Explanation:   Least Cost Price = Rs. (200 * 8) = Rs. 1600.   Greatest Selling Price = Rs. (432 * 8) = Rs. 3456.   Required profit = Rs. (3456 - 1600) = Rs. 1856.   Answer: 1856) 1856
Answer: C
What is the smallest positive perfect square that is divisible by 4, 10, and 18?  Choose the correct choice from the following answers
A) 900  B) 1,600  C) 2,500  D) 3,600  E) 4,900

Solution: The number needs to be divisible by 2^2, 2*5, and 2*3^2.   The smallest such perfect square is 2^2*3^2*5^2 = 900   The answer is 900.
Answer: A
Claire has a total of 90 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?	Pick one:	A) 39	B) 50	C) 66	D) 57	E) 60

Solution: G+H =90 ...1 ; G/4 +H/3 =25 ....2 OR 3G +4H =25*12= 
25*12 = 300
300   G=90-H OR 3(90-H) +4H =300 H = 300-270= 
300-270 = 30
30 THEN G= 96-30= 
96-30 = 66
66   66
Answer: C
John's favorite number is odd and has prime factors that do not repeat. Which of the following numbers is his favorite? Select the correct option
A) 27
B) 75
C) 121
D) 105
E) 147

Solution: Factor each option.   A 27 = 3*3*3   B 75 = 3*5*5   C 121 = 11*11   105 105 = 3*5*7   E 147 = 3*7*7   105 is the only choice with no repeating prime factors
Answer: D
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X? Choose the correct choice:
A) 30%	B) 33 1/3%	C) 37 1/2%	D) 40%	E) 50%

Solution: At the beginning, you have 8 KG of solution Y, i.e.   70% * 8KG = 5,6 KG of Water   30% * 8 KG = 2,4 KG of X   2 KG of water evaporate:   5,6KG - 2KG = 3,6KG of Water   2,4KG of X   2 KG of liquid are added:   3,6KG + 2*0,70 = 5 KG of Water   2,4KG + 2*0,30 = 3 KG of X   So you have 3KG of X in 8KG (3 + 5) solution.   Therefore X concentration is 3/8 = 37,5%   ANSWER:37 1/2%
Answer: C
What will come in place of the x in the following Number series? 4, 8 , 16, x , 44	Pick:	A) 33	B) 37	C) 28	D) 41	E) 43

Solution: (C)   The pattern is + 4, + 8, + 12, +16 â€¦â€¦â€¦..   So the missing term is = 16+ 12= 
16+ 12 = 28
28
Answer: C
(0.15)(power 3) - (0.06)(power 3)/ (0.15)(power 2) + 0.009 + (0.06)(power 2) is: Select the correct option:	A) 0.09	B) 0.08	C) 0.1	D) 0.07	E) None of them

Solution: Given expression   = (0.15) (power 3) - (0.06)(power 3) / (0.15)(power 2) + (0.15 x 0.06) + (0.06)(power 2)   = a (power 3) - b(power 3) / a(power 2) + ab + b(power 2)   = (a - b)   = (0.15 - 0.06)= 
(0.15 - 0.06) = 0.09
0.09   0.09nswer is 0.09.
Answer: A
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?  Pick one
A) 29%	B) 20%	C) 26%	D) 20%	E) 23%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
Find the wrong number in the series.
3, 8, 15, 24, 34, 48, 63
Select the correct option:  A) 37  B) 38  C) 34  D) 888  E) 27

Solution: Explanation:   The difference between consecutive numbers of the given series are respectively 5, 7, 9, 11, 13, and 15.   Therefore, 24+11=35 But in your problem it is given as 34.so 34 is wrong number   Answer: 34) 34
Answer: C
Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?	Pick one.
A) 11
B) 30
C) 38
D) 20
E) 75

Solution: 75xplanation:   Susan can type 2 pages in 1 min   Mary can type 0.5 pages in 1 min   so, both of them work together they type 2.5 pages in 1 min   so,in 30 min they type (30 × 2.5) = 75 pages   Answer: 75
Answer: E
A person has to cover a distance of 6km in 45 minutes. If he covers one half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed must be? Choose the correct option:
A) 12km/hr
B) 10km/hr
C) 15km/hr
D) 20km/hr
E) 18km/hr

Solution: Remaining distance = 3km   Remaining time = 1/3 * 45= 
1/3 * 45 = 15
15min= 1/4 hour   Required speed = 3*4= 
3*4 = 12
12km/hr   12km/hrnswer is 12km/hr
Answer: A
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 64 days after his birthday?	Choose the correct choice from the following answers:  A) Thursday  B) Friday  C) Saturday  D) Sunday  E) Monday

Solution: Day of week after 64 days after Arman's birthday = 7*9 + 1   Saturday as the period will have 9 weeks and 1 days .   The 1 days in the end will be Friday .   Answer Friday
Answer: B
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?	Choose the correct option:
A) 7
B) 6
C) 4
D) 9
E) 3

Solution: There are five letters in the given word.   Consider 5 blanks ....   The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.   The number of words = 3! = 6.   Answer:6
Answer: B
A number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t. What is the greatest two digit prime saturated integer ?  Pick: A) 99 B) 98 C) 97 D) 96 E) 95

Solution: t=96 = 3 * 32 = 3 * 2^5   Answer is 96.
Answer: D
A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $34 to ship a certain package, which of the following was the weight of the package, in pounds?	Choose the correct choice from the following options:
A) 12 B) 14 C) 16 D) 18 E) 20

Solution: Let the weight of the package be X.   2X + 6= 34   X = 14   The answer is 14.
Answer: B
Richie obtained 76, 95, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Answers.
A) A)87
B) B)99
C) C)68
D) D)82
E) E)81

Solution: Average = (76 + 95 + 82 + 67 + 85)/5   = 405/5= 
405/5 = 81
81.   Answer:81
Answer: E
A tap can fill a tank in 8 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?	Select the correct option.
A) 1 hr 20 min B) 4 hr C) 3 hr D) 5 hr 20 min E) 2 hr 50 min

Solution: Explanation:   1 tap can fill the tank in 8 hours.   Therefore   1 tap can fill half tank in 4 hours.   3 taps can fill the tank in 8/3 hour.   Therefore   3 taps can fill half tank in 8/6 hour =1hour 20 minutes.   Total time taken=5 hour 20 minutes   Answer: Option 5 hr 20 min
Answer: D
A thief is noticed by a policeman from a distance of 280 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?	Choices
A) 100	B) 277	C) 180	D) 278	E) 271

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 280 - 100= 
280 - 100 = 180
180 m.   Answer: 180
Answer: C
A tradesman by means of his false balance defrauds to the extent of 32%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Choose the correct option
A) 74%
B) 78%
C) 94%
D) 75%
E) 64%

Solution: g% = 32 + 32 + (32*32)/100   = 74%   74%nswer: 74%
Answer: A
The speed of a boat in still water is 8 kmph. If it can travel 1 km upstream in 1 hr, What time it would take to travel the same distance downstream?  Choose the correct choice from the following choices:
A) 14 minutes
B) 4 minutes
C) 24 minutes
D) 28 minutes
E) 23minutes

Solution: Speed of the boat in still water = 8 km/hr   Speed upstream = 1⁄1 = 1 km/hr   Speed of the stream = 8-1= 
8-1 = 7
7 km/hr   Speed downstream= (8+7)= 
(8+7) = 15
15 km/hr   Answer is 4 minutes   Time taken to travel 1 km downstream= 1/15 hr = (1×60)/15= 4 minutes
Answer: B
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 5 seconds. Find the length of the train and its speed. Pick one.
A) 5.6 m/sec B) 15 m/sec C) 18 m/sec D) 9 m/sec E) 25 m/sec

Solution: If length of train is l and speed of train is s, then   l/s = 5   (l+180)/s = 20   (l+180)/l = 20/5= 
20/5 = 4
4   l+180=5*l   4*l=180   l=45 mtrs   s= l/5 = 45/5= 
45/5 = 9
9 m/sec   ANSWER:9 m/sec
Answer: D
The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by? Choose the correct choice from the following.
A) Rs.70 B) Rs.75 C) Rs.50 D) Rs.60 E) None of these

Solution: 2C + 3T = 1300 --- (1)   3C + 3T = 1200 --- (2)   Subtracting 2nd from 1st, we get   -C + T = 100 => T - C = 100   ANSWNone of theseR:None of these
Answer: E
The ages of three friends are prime numbers. The sum of the ages is less than 51. If the ages are in Arithmetic Progression (AP) and if at least one of the ages is greater than 10, what is the difference between the maximum possible median and minimum possible median of the ages of the three friends?  Choose the correct answer.
A) 0	B) 1	C) 13	D) 6	E) 8

Solution: Let the numbers are a-d, a , a+d   sum <51 => a-d+a+a+d < 51 => middle number a <17   prime numbers are 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47   a can be 3,5,7,11,13   if a is 3 -> a-d can be 2 only; a+d not possible thus reject this.   if a is 5, a-d can be 2 and 3; only a-d = 3 satisfies   => three numbers can be 3,5,7 ->reject this , as it is given at least one is >10   if a = 7 ; a-d can be 3 and a+d can be 11   This satisfies all the conditions hence the median is 7=> min median.   if a = 11, the three element pair is 3,11,19 or 5,11,17   median = 11; we are not sure if its the max median possible   if a = 13, 7,13,19 pair is possible   median = 13; reject 11 as the max.   thus difference = 13-7= 
13-7 = 6
6   ANSWER:6
Answer: D
A coin is tossed live times. What is the probability that there is at the least one tail?  Choose the correct choice from the following choices.
A) 31/32 B) 1/16 C) 1/2 D) 1/32 E) None of these

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   P(T)= There is not even a single tail.   i.e. all the outcomes are heads.   P(T)= 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32NSWER:31/32
Answer: A
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 5 can be used only once?  Choose the correct choice from the following:
A) 20	B) 150	C) 225	D) 300	E) 304

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 2): 4*5*4*4=320   Numbers with five 5-s, 5X5X 4*1*1*4=16.   Thus there are 320-16= 
320-16 = 304
304 such numbers.   Answer: 304.
Answer: E
Out of 9 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choose the correct choice from the following answers:
A) A)5/7  B) B)5/21  C) C)16/21  D) D)5/6  E) E)5/3

Solution: P(at least one graduate) = 1 - P(no graduates)   = 1 - ⁶16/21₃/¹⁰16/21₃   = 1 - (6 * 5 * 4)/(7 * 9 * 8)   = 16/21   Answer:16/21
Answer: C
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?	Options:
A) 25
B) 19
C) 39
D) 61
E) 16

Solution: Let the required number of bottles be x.   More weavers, More mats (Direct Proportion)   More days, More mats (Direct Proportion)   Wavers	4	:	8 :: 4 : x   Days	4:8   4 * 4 * x = 8 * 8 * 4   x =	(8 * 8 * 4)/(4 x 4)   x = 16.   Answer is 16.
Answer: E
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choose the correct choice from the following choices:
A) 7 hours 30 minutes  B) 8 hours  C) 8 hours 15 minutes  D) 8 hours 25 minutes  E) 7 hours 35 minutes

Solution: Number of pages typed by Ravi in 1 hour =	32/6	=	16/3	.   Number of pages typed by Kumar in 1 hour =	40/5= 
40/5 = 8
8.   Number of pages typed by both in 1 hour=	(16/3+ 8)	=	40/3	.   Therefore Time taken by both to type 110 pages =	(	110 x	3/40	)	hours   = 8	1/4 hours (or) 8 hours 15 minutes.   Option 8 hours 15 minutes
Answer: C
If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 6 II. 3 III. 7 Pick:	A) I only	B) III only	C) II,III only	D) II only	E) I,III only

Solution: We're told that X is the SUM of 6 CONSECUTIVE INTEGERS. We're asked what X is divisible by....   Let's TEST VALUES....   IF we use the 6 consecutive integers: 6, 7,8,9,10 and 11, then the sum = 51.   51 is divisible by 3   51 is NOT divisible by 6   51 is NOT divisible by 7   There's only one answer that 'fits' with these facts. Answer : II only
Answer: D
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Options:
A) 10 kmph
B) 21 kmph
C) 8 kmph
D) 12 kmph
E) 14 kmph

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   ANSWER:8 kmph
Answer: C
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Pick one
A) Rs.7288 B) Rs.2542 C) Rs.2522 D) Rs.2625 E) Rs.6271

Solution: A = 1600(21/20)3   = 2522   Answer: Rs.2522
Answer: C
Johnson completes a piece of work in 10 days, Vincent completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is	Choose the correct choice from the following answers:  A) 7 days  B) 8 days  C) 9 days  D) 10 days  E) 12 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 × 40/50 = 8 days.   8 days)
Answer: B
A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Pick.
A) $40 and $42
B) $39 and $41
C) $38 and $40
D) $37 and $39
E) $36 and $37

Solution: The total amount for the meal was between 35.5*1.1= 
35.5*1.1 = 39.05
39.05 and 35.5*1.15=~41. Only option which covers all possible values of the meal is B.   Answer: $39 and $41.
Answer: B
When 30 per cent of a number is added to another number the second number increases by its 20 per cent. What is the ratio between the first and the second number?  Choices
A) 3 : 2
B) 2 : 3
C) 2 : 5
D) Data inadequate
E) None of these

Solution: 30% of I + II = II × 120⁄100   or, 3⁄10I = 2⁄10II ⇒ I : II = 2 : 3.   Answer 2 : 3
Answer: B
what is the probability of getting sum of 10 on rolling three dices? Choose one: A) 28/216 B) 27/216 C) 29/216 D) 26/216 E) 25/216

Solution: The no of ways to roll three dies is 6^3=216   The possibles of getting sum as 10 is   631=3!=6   622=3!/2!=3   541=3!=6   523=3!=6   442=3!/2!=3   433=3!/2!=3   Total possibles for getting sum as 10 is 27   The probabilty is 27/216   ANSWER:27/216
Answer: B
The last digit of the number obtained by multiplying the numbers 41 x 42 x 43 x 44 x 45 x 46 x 47 x 48 x 49 will be ?
Choose the correct option: A) 0 B) 1 C) 4 D) 5 E) 7

Solution: Solution   Last digit will be multiplication of 1x2x3x4x5x6x7x8x9.   It includes 5 & 2 so, 5x2=10, 0 will be the last digit.   Correct Option: 0
Answer: A
A club wants to mix 20 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?	Choose the correct answer.
A) 20  B) 30  C) 40  D) 50  E) 60

Solution: Let number of pounds of 5$ candy to be used be w   6 = (20*8 + 5*w)/(20 +w)   =>120 + 6w = 160 + 5w   => w = 40   Answer 40
Answer: C
The remainder when K=1+3+3^2+3^3+..........+3^200 is divided 13. Answers.
A) 12
B) 7
C) 0
D) 5
E) 3

Solution: K=1+3+3^2+3^3+..................+3^200   Is a Geometric progression having common ratio as '3' and number of terms as '201'.   Since Sum to n terms in GP = a(r^n-1)/(r-1)   where a=First term and r =common ration   Hence,   1*(3^201 -1 )/(3-1)   Rem of (3^201-1)/2 divided by 13   3^201 -1 /26   WKT, 3^3 = 27 = 26+1   {(26+1)^67 - 1}/26   {1-1}/26   =>0.0
Answer: C
In a room filled with 5 people, 3 people have exactly 2 siblings in the room and 2 people have exactly 1 sibling in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choose the correct choice from the following:
A) 2/3	B) 2/5	C) 3/5	D) 3/10	E) 7/10

Solution: The 5 people consist of one set of 2 siblings and one set of 3 siblings.   The number of ways to choose 2 people is 5C2 = 10.   The number of ways to choose 2 from the first group of siblings is 2C2 = 1.   The number of ways to choose 2 from the second group of siblings is 3C2 = 3.   The number of ways to choose 2 people who are siblings is  3+1= 
 3+1 = 4
4.   The number of ways to choose 2 people who are not siblings is   10-4= 
  10-4 = 6
6.   P(the two people are not siblings)= 6/10 = 3/5   The answer is 3/5.
Answer: C
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?	Choose the correct choice from the following answers:
A) 82.1 sec
B) 12.1 sec
C) 16.1 sec
D) 13.1 sec
E) 12.15sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer:12.1 sec
Answer: B
A 180 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Choose the correct choice from the following.
A) 72  B) 108  C) 1266  D) 188  E) 211

Solution: S = 180/9 * 18/5= 
180/9 * 18/5 = 72
72 kmph   72nswer: 72
Answer: A
If the annual interest on a principal is 8%, how many years before the amount is double?  Options
A) 11.3  B) 12  C) 12.5  D) 10.2  E) 11.2

Solution: P = (P*8*R)/100   R = 12.5   Answer: 12.5
Answer: C
The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $24?	Choose the correct choice from the following answers
A) 44  B) 46  C) 48  D) 50  E) 52

Solution: $24 = 4 * $6   The number of doughnuts is 4*12= 
4*12 = 48
48   The answer is 48.
Answer: C
The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 2 wheels on each of its other axles?
Choose the correct choice from the following answers:
A) $ 2.50  B) $ 3.00  C) $ 3.50  D) $ 4.00  E) $ 5.00

Solution: Number of wheels in truck = 18   Number of wheels on its front axle =2   number of wheels remaining = 16   number of axles remaining axles = 16/2= 
16/2 = 8
8   Total number of axles= 9   T = 1.50 + 0.50( 9 − 2)   = 1.50 + .5*7   = 1.5 +1.5 = 5 $   Answer $ 5.00
Answer: E
How many different sets of positive square integers D, each greater than 1, add up to 75? Select
A) 1
B) 4
C) 7
D) 11
E) 13

Solution: 13 = 13 is the correct answer.
Answer: E
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Choose the correct choice from the following answers:
A) 1.7 B) 1.5 C) 1.3 D) 1.2 E) 1.9

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer: 1.5
Answer: B