MU-NLPC/Calc-aqua_rat huggingface dataset:
Timothy leaves home for school, riding his bicycle at a rate of 8 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks Choose the correct choice from the following options:
A) 1/3  B) 3  C) 4  D) 9  E) 36/13

Solution: In 15 mins, Timothy travels=8/4 miles.   Now, let his mother takes x hours to reach him, traveling at 36mph.   So, 36x=8x+8/4   x=1/13 hrs.   Thus, the distance traveled by his mother to reach= 36*1/13=36/13 miles. Ans 36/13
Answer: E
A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class?
Answers.
A) 1387	B) 1768	C) 1105	D) 1286	E) 2812

Solution: Explanation:   For smallest possible class strength, we consider LCM of the given numbers. So L1105M (5, 13, 17) = 1105   Answer: 1105
Answer: C
is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, then how old is B?  Choose one:
A) 7
B) 8
C) 9
D) 10
E) 14

Solution: Let C's age be x years.   Then, B's age = 2x years.   A's age = (2x + 2) years.   (2x + 2) + 2x + x = 37   5x = 35 => x = 7   Hence, B's age = 2x = 14 years.   ANSW14R:14
Answer: E
If the cost of 6 erasers and 4 sharpeners is Rs.21/-. What will be the cost of 24 erasers and 16 sharpeners?  Select the correct option.
A) Rs.62/- B) Rs.84/- C) Rs.64/- D) Rs.88/- E) Rs.99/-

Solution: Explanation:   6 erasers + 4 sharpeners = Rs.21.   Multiply by 4   We get,   24 erasers + 16 sharpeners = Rs.21x4 = Rs.84/-.   Answer: Option Rs.84/-
Answer: B
The contents of two vessels containing copper and tin in the ratio 1:2 and 2:5 are mixed in the ratio 1:4. The resulting mixture will have copper and tin in the ratio?  Choose the correct choice from the following answers.
A) 15:32	B) 21:28	C) 31:74	D) 33:37	E) 41:92

Solution: The ratio of copper and tin the new vessel= (1/3*1/5 + 2/7*4/5) : (2/3*1/5 + 5/7*4/5)   = 31/105 : 74/105 = 31:74   Answer is 31:74
Answer: C
What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30  Choose the correct choice from the following
A) 477.79	B) 477.8	C) 477.81	D) 477.89	E) 477.84

Solution: Explanation:   815.30 - ( 112.36 + 225.05) = ?   = 477.89   ANSWER:477.89
Answer: D
A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is  Choose the correct choice from the following answers.
A) 9800000  B) 1000000  C) 7500000  D) 2000000  E) None of these

Solution: Explanation: Number = (800*700*600)/8*7*6 = 2000000 Answer: 2000000
Answer: D
Two unbiased coins are tossed. What is the probability of getting at most one head?  Choices:
A) 1/2
B) 1/4
C) 2/3
D) 3/4
E) 5/7

Solution: S = {HH, HT, TH, TT}   E = event of getting at most one head   E = {TT, HT, TH}   P(E) = 3/4   Answer is 3/4
Answer: D
Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
Answers.
A) 1.75	B) 2.25	C) 2.5	D) 2.75	E) 3.25

Solution: Let the distance to the top be x, so the total distance traveled by Natasha is 2x.   The total time is 4 + 2= 
4 + 2 = 6
6 hours   The average speed= total distance/total time taken = 2x/6 = x/3   The average speed of the complete journey is 3 km/hour   x/3 = 3   x = 9 km   The average speed while climbing = distance/time = 9/4= 
9/4 = 9/4 = around 2.25
2.25 km/h   The answer is 2.25.
Answer: B
The product D of the first 10 prime numbers is closest to which of the following?	Pick one:
A) 6.5 x 10^7
B) 6.5 x 10^8
C) 6.5 x 10^9
D) 6.5 x 10^10
E) 6.5 x 10^11

Solution: The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.   So, we need to find approximate value of 2*3*5*7*11*13*17*19*23*29.   # of different approximations are possible. For example:    2*5= 
 2*5 = 10
10   3*17=~50 (actually more than 50);   7*13=~100 (actually less than 100);   11*19=~200 (actually more than 200)   23*29= 
23*29 = 667
667=D   2*3*5*7*11*13*17*19=~10*50*100*200*667=10^7*667=6.67*10^9.   Answer: 6.5 x 10^9.
Answer: C
On a sum of money ,the simple interest for 2 years is Rs. 660,while the compound interest is Rs. 696.30,the rate of interest being the same in both the cases.The rate of interest is :
Options:
A) 10%
B) 10.5%
C) 12%
D) None of these
E) Cannot be determined

Solution: Solution   Difference in C.I. and S.I. for 2 years = Rs.(696.30 - 660)= Rs. 36.30.   S.I. for one year = Rs. 330.   ∴ S.I. on Rs. 330 for 1 year = Rs. 36.30.   ∴ Rate (100x36.30/330x1)% = 11%. Answer None of these
Answer: D
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 34% iodine solution?
Answers:
A) 35
B) 49
C) 100
D) 105
E) 136

Solution: Solution 1:   Assume the iodine solution to be mixed = x lts.   Iodine = 0.4x lts, Water = 0.6x lts.   Solution 2: 35 liters of a 20% iodine solution   Iodine = 7 lts, Water = 28 lts.   Total iodine = 0.4x + 7   Total water = 0.6x + 28   The resultant is a 35% idoine solution.   Hence (0.4x + 7) / (x + 35) = 34/100   40x + 700 = 34x + 1220   6x = 820   x = 136 lts   Correct Option: 136
Answer: E
The duplicate ratio of 3:4 is? Choose the most appropriate option:  A) 9:15  B) 9:10  C) 9:16  D) 9:13  E) 9:11

Solution: 32: 42 = 9:16   Answer: 9:16
Answer: C
Which of the following is NOT a factor of 5! ?	Options.
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: 120=5*4*3*2 and we dont have 6   ANSW6R IS 6
Answer: E
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Pick: A) 47 B) 65 C) 83 D) 92 E) 98

Solution: Explanation:   Let the ten's digit be x. Then, unit's digit = (11 - x).   So, number = 10x + (11 - x) = 9x + 11.   Therefore (9x + 11) + 27 = 10 (11 - x) + x 9x + 38 = 110 - 9x 18x = 72 x = 4.   Thus, ten's digit = 4 and unit's digit = 7.   Hence, required number = 47.   47nswer: Option 47
Answer: A
solve the following quadratic equation by factoring.
u^2-5u-14=0  Pick one:
A) (5,7)	B) (8,9)	C) (3,2)	D) (5,3)	E) (-2,7)

Solution: We already have zero on one side of the equation, which we need to proceed with this problem. Therefore, all we need to do is actually factor the quadratic.   (u+2)(u-7)=0   u=-2, u=7   Therefore the two solutions are :(-2,7)   Ans: (-2,7)
Answer: E
What is the smallest prime number with two sevens in it? Pick
A) 77	B) 177	C) 277	D) 377	E) 108794769

Solution: The smallest positive integers with two sevens are 77, 177, 277, . . . . The first   integer with two sevens that does not end with two sevens is 707.   77 = 7 11, and 177 is divisible by 3 because the sum of its digits is. So now you just need to   check that 277 is prime. There is no particular shortcut to see this – test divisibility by 2, 3, 5,   7, 11, and 13.   correct answer 277
Answer: C
If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ?	Pick one.
A) 8	B) 11	C) 10	D) 15	E) 6

Solution: 10   prinka is 10, in a system that awards five for each vowel.
Answer: C
Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?
Pick one
A) A)12
B) B)14
C) C)27
D) D)53
E) E)17

Solution: In this series, each number is repeated, then 12 is subtracted to arrive at the next number.   Answer: 17
Answer: E
If X boxes of grape juice cost 200 cents, how much will Y boxes cost in dollars?
Select:
A) Y*3/x B) Y*4/x C) Y*2/x D) Y*6/x E) Y*8/x

Solution: X boxes of grape juice cost 200 cents or 2 dollars.   cost of grape juice = 2/x   Y*2/xost of Y grape juices = Y*2/x   Hence Answer : Y*2/x
Answer: C
√3 percent of 3√3 =	Answers
A) 5.2	B) 1.0	C) 0.1	D) 2.0	E) 5.0

Solution: The other solutions are great, but here's one more approach.   First, we scan the answer choices to see that they are quite spread apart. This means we can also use someAPPROXIMATION   All test-takers must memorize the following approximations:   √2 ≈ 1.4   √3 ≈ 1.7   So, √3 percent of 3√3 ≈ 1.7 percent of (3)(1.7)   ≈ (1.7/100)(5.1)   ≈ 8.67/100   ≈ 0.08   Check the answer choices to see that C is the only answer that's close.   Answer: 0.1
Answer: C
Jill is dividing her 16-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choose the correct choice from the following options
A) 10 B) 25 C) 1260 D) 2520 E) 6435

Solution: With 16 players, the process of figuring out how many groups of 8 can be formed is pretty straight-forward....   16C8 = 16!/(8!8!) = 12870 possible groups of 8   Once forming that first group of 8, the remaining 8 players would all be placed on the second team by default.   The 'twist' is that the two teams of 8 canshow upin either order:   6435
Answer: E
What is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive?
Choose the most appropriate option:
A) 420	B) 840	C) 1260	D) 2520	E) 27,720

Solution: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, and 2^2*3.   The LCM is 1*2^3*3^2*5*7*11= 27,720   The answer is 27,720.
Answer: E
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony ten hours from now? Choose the correct choice from the following options.
A) 77,500	B) 1,860,000	C) 12,480,000	D) 19,840,000	E) 24,960,000

Solution: 310,000 × 2 × 2×2×2×2×2 = 310,000 × 64 = 19,840,000
Answer: D
Two trains of equal are running on parallel lines in the same direction at 50 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?	Choose the correct choice from the following:
A) 70 m
B) 72 m
C) 80 m
D) 82 m
E) 84 m

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 50 - 36= 
50 - 36 = 14
14 km/hr.= 14 * 5/18 =35/9 m/sec.   2x/36 =35/9 => x = 70.   70 mNSWER:70 m
Answer: A
The greatest ratio out of 2:1, 5:8, 3:2, 8:9 and 8:5 is? Choose one.
A) 2:1
B) 3:2
C) 5:8
D) 8:5
E) 8:9

Solution: 2/1= 
2/1 = 2
2   5/8= 
5/8 = 5/8 = around 0.625
0.625   3/2= 
3/2 = 3/2 = around 1.5
1.5   8/9=0.888   8/5= 
8/5 = 8/5 = around 1.6
1.6   2:1NSWER:2:1
Answer: A
How many numbers from 10 to 40 are exactly divisible by 3?	Answers:
A) 13 B) 15 C) 16 D) 10 E) 18

Solution: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39.   10 Numbers.   10/3 = 3 and 40/3 = 13 ==> 13 - 3= 
13 - 3 = 10
10. Therefore 10 digits   10)
Answer: D
Each of the following equations Q has at least one solution EXCEPT
Choose the correct choice from the following options:
A) Q=–2^n = (–2)^-n	B) Q=2^-n = (–2)^n	C) 2^n = (–2)^-n	D) (–2)^n = –2^n	E) (–2)^-n = –2^-n

Solution: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.   Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.   In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.   If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Answer: A
A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is	Choose one.
A) 10√2 m B) 100 m C) 100√2 m D) 200 m E) None

Solution: Solution   Let the altitude of the triangle be hïand base of each be b.   Then , (½ ×b× h1) where h2 = 100 m.   = h1 = 2h2   = ( 2 x 100) m   = 200 m.   Answer 200 m
Answer: D
The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there? Choose the correct choice from the following answers
A) 16  B) 24  C) 32  D) 48  E) None of these

Solution: Area left after laying black tiles   = [(20 – 4) × (10 – 4)] sq. ft. = 96 sq. ft.   Area under white tiles = (1⁄3 × 96) sq. ft = 32 sq. ft.   Area under blue tiles = (96 – 32) sq. ft = 64 sq. ft.   Number of blue tiles = 64/2×2=16.   16nswer 16
Answer: A
A bag contains 70 black balls and 60 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Choices:  A) 2/5  B) 5/7  C) 1/2  D) 1/4  E) 6/13

Solution: Total number of balls = 70+60= 
70+60 = 130
130   no. of white balls= 60   probability of drawing a white ball = 60/130 = 6/13   Answer is 6/13
Answer: E
If 20 men can build a wall 66 metres long in 8 days, what length of a similar can be built by 86 men in 8 days?  Choose the correct choice from the following choices
A) 283.8 mtrs  B) 378.4 mtrs  C) 478.4 mtrs  D) 488.4 mtrs  E) 578.4 mtrs

Solution: If 20 men can build a wall 66 metres long in 8 days,   length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(8*20)= 
(66*86*8)/(8*20) = 1_419/5 = around 283.8
283.8 mtrs   283.8 mtrsNSWER:283.8 mtrs
Answer: A
How many multiples of 6 are there between 30 and 140, 30 and 140 inclusive ?	Choices.
A) 18
B) 16
C) 17
D) 19
E) 15

Solution: 6 multiples are ...30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,...   ,...,   the answer is =19   Answer is 19
Answer: D
The average height of 50 pupils in a class is 160 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ? Choose the correct choice from the following choices: A) 287 cm B) 151 cm C) 276 cm D) 287 cm E) 161 cm

Solution: Total height = 160 * 50= 
160 * 50 = 8_000
8000 cm.   New average= [8000 - 5 * 146 + 5 * 156 ] / 50   = 161 cm.   Answer:161 cm
Answer: E
How many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated ?	Answers.
A) 39760	B) 49760	C) 59760	D) 69760	E) 70000

Solution: Zip codes with 5 digits (all five digits can be repeated): 10^5=100,000   Zip codes with no digit being repeated: 10*9*8*7*6=30,240   Zip codes with at least one digit being repeated: 100,000-30,240=69,760   = 69760   ANS:69760
Answer: D
Express of the following as a fraction:
56%
Choose the correct option:
A) 14/25 B) 13/25 C) 11/25 D) 17/25 E) None of them

Solution: 56% = 56/100= 14/25.   14/25nswer is 14/25.
Answer: A
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Select
A) 23  B) 26  C) 41  D) 35  E) 29

Solution: (35)   The pattern is + 3, + 5, + 3, + 5, …………   So the missing term is = 30 + 5= 
30 + 5 = 35
35.
Answer: D
Two trains each 210m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 90km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
Choose the correct answer
A) 3 sec B) 2.6 sec C) 3.6 sec D) 8.6 sec E) 7.6 sec

Solution: Explanation:   8.6 sec = 210 m +210 m = 420 m   RS = 90 + 85= 
90 + 85 = 175
175 * 5/18= 243/5   T = 420 * 5/243 = 8.6 sec   Answer: Option 8.6 sec
Answer: D
A can do in 6 day and B can do in 8 and C can do in 12 days but b left after working for 6 days for how many no of day A and C shluld work ?
Pick: A) 2 days B) 1 day C) 3 days D) 4 days E) 5 days

Solution: B for one day work is 1/8   he worked for 6 days, so 6*1/8=3/4 work will be completed.   remaining work is 1-3/4=1/4   A and C can complete the work in 4 days   but there is only 1/4 work that is to be completed, so A and C can complete 1/4 work in 1 day..   ANSWER:1 day
Answer: B
A sum of money becomes double itself in 4 years at simple interest. How many times will it become 10 years at the same rate?  Choose one:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: P ---- 2P ---- 4 years5P ---- 10 years Answer: 5
Answer: E
Kim finds a 6-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?	Choices.
A) 7/5 B) 1/2 C) 8/15 D) 2/5 E) 3/5

Solution: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be   2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15   Which gives us 2/5 + 1/15 + 2/15 -----> 3/5   Answer is 3/5
Answer: E
Mahesh can do a piece of work in 60days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Pick one:
A) 45  B) 25  C) 37  D) 41  E) 30

Solution: Work done by Mahesh in 60days = 20*1/60 = 1/3   Remaining work = 1 - 1/3 = 2/3   2/3 work is done by Rajesh in 30days   Whole work will be done by Rajesh is   30*3/2= 
  30*3/2 = 45
45days   45nswer is 45
Answer: A
Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 6 coconut doughnuts, and 8 jam-filled doughnuts. How many doughnuts did Anne buy in all?  Choose the correct choice from the following:
A) 25  B) 26  C) 39  D) 21  E) 11

Solution: Add the numbers of doughnuts.   12 + 6 + 8= 
12 + 6 + 8 = 26
26.   Answer is 26.
Answer: B
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food? Choose the correct choice from the following answers:  A) $900  B) $720  C) $600  D) $450  E) $225

Solution: To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:   Household Expenses : Food : Miscellaneous = 5x : 3x : x   Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:   5x + 3x + x = 1,800   9x = 1,800   x = 200   Thus, the total amount allocated to food is 3 x 200 = $600.   Answer $600.
Answer: C
If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
Choose the correct choice:
A) 278.4 mtrs  B) 378.4 mtrs  C) 478.4 mtrs  D) 488.4 mtrs  E) 578.4 mtrs

Solution: If 20 men can build a wall 66 metres long in 6 days,   length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(6*20) = 11*172/5 = 1892/5= 
1892/5 = 1_892/5 = around 378.4
378.4 mtrs   ANSWER:378.4 mtrs
Answer: B
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can? Choose one: A) 22 B) 44 C) 276 D) 29 E) 12

Solution: Explanation:   Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 4/9 (T - 8)   After adding milk, quantity of milk in the mixture = 6/11 T.   6T/11 - 8 = 4/9(T - 8)   10T = 792 - 352 => T = 44.   Answer:44
Answer: B
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?  Answers:  A) 12  B) 6  C) 15  D) 8  E) 14

Solution: x, 2x   (x-2):(2x-2) = 1:3   3x-6 = 2x-2   x = 4   x+2x = 3x   => 3*4= 
3*4 = 12
12   12NSWER 12
Answer: A
Suppose 10 monkeys take 20 minutes to eat 10 bananas. How many monkeys would it take to eat 80 bananas in 80 minutes?
Choose the correct choice from the following answers.
A) 9
B) 10
C) 11
D) 20
E) 13

Solution: One monkey takes 20 min to eat 1 banana , so in 80 mins 1 monkey will eat 4 bananas , so for 80 bananas in 80 min we need  80/4= 
 80/4 = 20
20 monkeys   ANSWER:20
Answer: D
10 men do a work in 10days. How many men are needed to finish the work in 2days?	Select: A) 50 B) 20 C) 30 D) 10 E) 15

Solution: men required to finish the work in 2days = 10*10/2= 
10*10/2 = 50
50   50nswer is 50
Answer: A
A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is?
Choose the correct choice from the following.
A) 25 years
B) 65 years
C) 45 years
D) 75 years
E) 95 years

Solution: Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.   Then, woman's age = (10X + y) years; husband's age = (10y + x) years.   Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)   (9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y   Clearly, y should be a single-digit multiple of 5, which is 5.   So, x = 4, y = 5.   Hence, woman's age = 10x + y = 45 years.   View Answer Discuss in Forum   Answer:45 years
Answer: C
A certain telephone number has seven digits. If the telephone number has the digit zero exactly 3 times, and the number 1 is not used at all, what is the probability that the phone number contains one or more prime digits.  Choose the correct choice from the following choices.
A) 1/24  B) 1/16  C) 1/2  D) 15/16  E) 23/24

Solution: First step of getting rid of 3 digits of containing zeros is right: we are left with 4 digit number each of which can be one of 8 digit (2,3,4,5,6,7,8,9 as 0 is already used in first three and 1 is not used).   Next step:   total number of combinations possible 8^,   combinations with NO PRIME 4^4,   P(no prime)=4^4/8^4=1/2^4   P(p>=1)=1-1/2^4=15/16   Answer 15/16.
Answer: D
Look at this series: 2, 6, 18, 54, ... What number should come next?	Choose the correct choice from the following:
A) 108
B) 148
C) 162
D) 216
E) None

Solution: Explanation: This is a simple multiplication series. Each number is 3 times more than the previous number.   Answer: Option 162
Answer: C
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct choice from the following options
A) 1.4  B) 1.8  C) 1.2  D) 1.5  E) 1.9

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer:1.5
Answer: D
The average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is Choose the most appropriate option.
A) 22  B) 30  C) 25  D) 38  E) 27

Solution: total age increased = (3 * 2)= 
(3 * 2) = 6
6 years.   Sum of ages of two new men= (21 + 23 + 6)= 
(21 + 23 + 6) = 50
50 years   Average age of two new men= (50/2)= 
(50/2) = 25
25 years.   Answer: 25
Answer: C
A retail store sells higher end dresses for $40 each and lower end dresses for $20 each. On every higher end dress the retail store makes a profit of $4 while on every lower end dress it makes a profit of $1. If on a given day the store's sales amounted to $400, which of the following cannot be the profit made on that day?
Choose the correct choice
A) $26  B) $27  C) $30  D) $34  E) $40

Solution: $27 is the only option that does not fit into a combination of higher end and lower end sales profits, given the total sales of the day. Answer: $27
Answer: B