MU-NLPC/Calc-aqua_rat huggingface dataset:
A wood maker constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox? Pick.
A) 20	B) 40	C) 60	D) 80	E) 100

Solution: A quick note on doubling. When you double a length you have 2*L1. When you double all lengths of a rectangle you have (2*L1)(2*L2) = A. An increase of 2^2 or 4. When you double all lengths of a rectangular prism you have (2*L1)(2*L2)(2*L3) = V. An increase of 2^3 or 8.   This leads to the basic relationship:   Line: 2*original size   Rectangle: 4*original size   Rectangular Prism: 8*original size answer is 80
Answer: D
The length of a train and that of a platform are equal. If with a speed of 144 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Select.
A) 1200	B) 299	C) 276	D) 750	E) 211

Solution: Speed = [144 * 5/18] m/sec = 40 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 40 è x = 40 * 60 / 2= 
40 * 60 / 2 = 1_200
1200   1200nswer: 1200
Answer: A
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages Choose the correct choice:
A) 37 years
B) 35 years
C) 32 years
D) 31 years
E) 55 years

Solution: Let A's age 10 years ago = x years.   Then, B's age 10 years ago = 2x years.   (x + 10) / (2x+ lO) = 3/4   => x = 5.   So, the total of their present ages =(x + 10 + 2x + 10)   = (3x + 20) = 35 years.   Answer:35 years
Answer: B
AB + CD = XXX, where AB and CD are two-digit numbers and XXX is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?  Choose the correct choice from the following answers
A) 1
B) 3
C) 7
D) 9
E) Cannot be determined

Solution: AB and CD are two digit integers, their sum can give us only one three digit integer of a kind of XXX it's 111.   So, A=1. 1B+C9=111   Now, C can not be less than 9, because no to digit integer with first digit 1 (mean that it's<20) can be added to two digit integer less than 90 to have the sum 111 (if C9<90 meaning C<9 C9+1B<111) --> C=9   Answer: 9.
Answer: D
A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations C of five marbles could be drawn?  Choose the correct option.
A) 41 B) 51 C) 62 D) 72 E) 82

Solution: there will be different cases, which we will take one by one..   1)case 1 when all five colours are different-7c5=21..   2)case 2 when three different colours and 2 of same type=6c3*2=30..   3)case 3 when two different colours and 3 of same type=6c2=15..   4)case 4 when one different colours and 2 of two different colors=5c1*4!/2!2!=15...   5)case 4 when 3 of one type and 2 of other colour=1...   total C-82 ans 82
Answer: E
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 860 in 4 years. The
rate on interest per annum is. Choose one: A) 4.5% B) 5% C) 6% D) 7.5% E) 8%

Solution: Explanation:   S.I. on Rs 800 for 1 year = 60   Rate = (100*60)/(800*1)= 
(100*60)/(800*1) = 15/2 = around 7.5
7.5%   Answer: 7.5%
Answer: D
In an intercollegiate competition that lasted for 3 days, 157 students took part on day 1, 111 on day 2 and 98 on day 3. If 89 took part on day 1 and day 2 and 56 took part on day 2 and day 3 and 32 took part on all three days, how many students took part only on day 1?	Select the correct option:
A) 40	B) 44	C) 35	D) 49	E) 38

Solution: Day 1&2 = 89; Only Day 1&2 (89-32) = 57,   Day 2&3 = 56; Only Day 2&3 (56-32) = 24,   Only Day 1 = 157 - (57+24+32)= 
157 - (57+24+32) = 44
44   Answer:44
Answer: B
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices
A) 30, 40	B) 25, 30	C) 50, 60	D) 20, 40	E) 30, 20

Solution: Explanation:   Their present ages be 3X and 4X.   5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7   X = 35 - 25 => X = 10.   Their present ages are: 30, 40.   30, 40NSWER IS 30, 40
Answer: A
Dacid obtained 72, 45, 72, 77 and 75 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Pick:
A) 67  B) 68  C) 87  D) 26  E) 75

Solution: Average   = (72+ 45+ 72+ 77+75)/5   = 341/5 = 68.   Answer: 68
Answer: B
A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?  Choose the most appropriate option: A) 114 B) 115 C) 116 D) 117 E) 118

Solution: Let the required number of seconds be x   More cloth, More time, (direct proportion)   Hence we can write as   (cloth) 0.128 : 15 :: 1 : x   =>0.128*x=15   =>x=15/0.128   =>x=117   ANSWER:117
Answer: D
Find the number of shares that can be bought for Rs.8200 if the market value is Rs.20 each with brokerage being 2.8%.
Choose the most appropriate option:
A) 237  B) 270  C) 398.8  D) 166  E) 111

Solution: Explanation:   398.8ost of each share = (20 + 2.8% of 20) = Rs.20.56   Therefore, number of shares = 8200/20.56 = 398.8   ANSWER:398.8
Answer: C
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.2000, then what is the income of P1?  Pick one:
A) s.5000	B) s.2400	C) s.4000	D) s.3200	E) s.4200

Solution: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their   expenditures be Rs.3y and 2y respectively.   Then, 5x – 3y = 2000 …(i) and 4x – 2y = 2000 ……..(ii)   On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 2000 -> x = 1000   P1’s income = Rs 5*1000 = Rs.5000   s.5000NSWER:s.5000
Answer: A
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.9 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?	Choices: A) 1/6 B) 1/2 C) 5/8 D) 5/6 E) 15/16

Solution: X - fraction of products Jane inspected   (1 - X) - fraction of products John inspected   0.9(X) + 0.5(1-X) = 0.75   0.4X = 0.75 - 0.5= 
0.75 - 0.5 = 0.25
0.25/0.4   X= 5/8   Therefore the answer is 5/8: 5/8.
Answer: C
At 12:30, the hour hand and the minute hand of a clock form an angle of Choose the correct choice from the following choices.
A) 120°
B) 135°
C) 125°
D) 150°
E) 180°

Solution: answer : 180 Degree   ANSW180°R :180°
Answer: E
How many times in a day, the hands of a clock are straight? Choices:
A) 12 B) 24 C) 44 D) 56 E) None

Solution: Sol.   In 12 hours, the hands coincide or are in opposite direction 22 times.   ∴ In 24 hours, the hands coincide or are in opposite direction 44 times a day.   Answer 44
Answer: C
0, 0, 1, 2, 2, 4, 3, 6, 4, _
Can you find out which number will complete the above series? Choose the correct option:
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Solution:   Actually, there are two series in the question. If you separate the alternate places, you will find that the first series is:   0, 1, 2, 3, 4   Where the digits are multiple of 1.   The second series is:   0, 2, 4, 6, __   Here, the digits are progressing with the multiples of 2.   Therefore, the next digit will be 8.   8nswer 8
Answer: A
A florist has 2 azaleas, 3 buttercups, and 7 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet? Choose the correct choice:
A) 7/11 B) 17/22 C) 25/33 D) 41/66 E) 87/132

Solution: The probability that two of the same flowers were chosen:   P(AA) = 2/12 * 1/11 = 2/132   P(BB) = 3/12 * 2/11 = 6/132   P(PP) = 7/12 * 6/11 = 42/132   The sum of these probabilities is 25/66   P(two flowers are different) = 1 - 25/66 = 41/66   The answer is 41/66.
Answer: D
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?  Choose one:
A) 20%	B) 65%	C) 30%	D) 33%	E) 40%

Solution: a= amount of arabica coffee   1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta   therefore:   .4a + .2(1-a) = .33   .4a + .2 - .2a = .33   a= .65   therefore: .65/1 ounce = 65%. Therefore, the answer should be 65%
Answer: B
If one of the followings is the product of the two 3-digit integers 8K5 and 6L5 (K and L denote the tens digit of the respective integers), then that product must be  Choose the most appropriate option
A) 478,823  B) 511,913  C) 531,875  D) 538,424  E) 569,114

Solution: To know the unit digit you can multiply both digit number: 5 x 5 = 25   This eliminates A, B, D, and E, because the number must end with a 5   So the answer is 531,875
Answer: C
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different f colors patterns can be floor be parqueted?
Choose the correct choice from the following options.
A) 104  B) 213  C) 3^5  D) 705  E) 726

Solution: Total number of squares we need to fill = 6   Number of colors we have f= 3   Therefore, total number of patterns = 3*3*3*3*3*3= 
3*3*3*3*3*3 = 729
729   However, this is considering that we can have a case in which all tiles are the same color. Since we are given that the quantity of each tile is 5 and the number of tiles required is 6, we know that this case cannot be possible. Therefore we must subtract the cases in which all tiles will be of the same color (3 cases since there are 3 colors).   Thus our answer should be :729 - 3= 
729 - 3 = 726
726   Answer : 726
Answer: E
A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Select:
A) 177 m	B) 176 m	C) 270 m	D) 187 m	E) 186 m

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 38= 15   x + 300 = 570   x = 270 m.   Answer: 270 m
Answer: C
In the 4 digits 1,2,3,4 how many 4 digested numbers are possible which are divisible by 4? Repetitions are allowed
Select the correct option:
A) 61  B) 62  C) 63  D) 64  E) 65

Solution: To be divisible by 4 the number has to be even.   When number ends in 2, options are xx12, xx32, with x representing any number.   When number ends in 4, options are xx24, xx44.   Each of these 4 options produce 16 possible numbers. Total = 16+16+16+16= 
16+16+16+16 = 64
64   ANSWER:64
Answer: D
What is the greatest positive integer W such that 3^W is a factor of 9^10?
Select:
A) 5  B) W=9  C) W=10  D) W=20  E) W=30

Solution: What is the greatest positive integer W such that 3^W is a factor of 9^10?   9^10 = (3^2)^10 = 3^20   D. 20
Answer: D
At 3:00 pm, a car has driven 40 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm? Choose the correct choice from the following:
A) a) 10  B) b) 5  C) c) 12  D) d) 13  E) e) 14

Solution: 0.8 minutes --> 1 mile   1 minute --> 1/0.8 = 10/8= 
10/8 = 5/4 = around 1.25
1.25 miles/minute   Distance covered in 40 minutes= 1.25 * 40 = 12.5 * 4= 
12.5 * 4 = 50
50 miles   Distance covered in the current direction= Distance covered from the opposite direction (since car returns back to starting point)   Let x be the miles driven before turning   40 + x = 50 - x   2x = 10   x = 5   Answer: b) 5
Answer: B
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was: Choose the most appropriate option.
A) Rs. 10,000	B) Rs. 12,000	C) Rs. 14,000	D) Rs. 15,000	E) Rs. 16,000

Solution: Principal =Rs. (100x5400)/(12x3)= Rs.15000   answer :Rs. 15,000
Answer: D
Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choose the correct option:
A) 12%
B) 16%
C) 18%
D) 24.8%
E) 23%

Solution: Total CP = Rs. 42000 + Rs. 10000 = Rs. 52000 and SP   = Rs. 64900   Profit(%) = (64900 - 52000)/52000 * 100   = 24.8%   Answer:24.8%
Answer: D
Out of first 25 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?	Answers:
A) 4/17  B) 4/7  C) 4/9  D) 4/5  E) 4/3

Solution: n(S) = 25   n(Even no) = 12 = n(E)   n(Prime no) = 9 = n(P)   P(EᴜP)   = 12/25 + 9/25 - 1/25   = 20/25 =4/5   Answer:4/5
Answer: D
Two trains of length 200 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?	Choose the correct choice from the following answers: A) 22 sec B) 77 sec C) 76 sec D) 20 sec E) 24 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 200 + 280= 
200 + 280 = 480
480 m.   The time required= d/s = 480/20= 
480/20 = 24
24 sec.   Answer:24 sec
Answer: E
In a tailoring, 8 seamstresses sew a large order of pants, doing a third of the work in 6 days. If the owner hires 4 seamstresses more, how many days will take to finish the order, since the first day? Pick one:  A) 12 days  B) 10 days  C) 9 days  D) 8 days  E) 7 days

Solution: We have that: 8 seamstresses ----- 6 days, (8+4) S ----- X d, that is: (X d/ 8S) = (6 d/12S), then: X d = (6 d/12S)8S = 4d. Is to say, the 12 seamstresses do the same quantity in 4 days; as it is only 1/3 of the work, all the order would be sew in: P = 6 d + 4 d = 10 days. Answer 10 days.
Answer: B
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?	Choose the correct option
A) Y2 = xy B) Y2 = yz C) Y2 = xz D) X2 = xz E) Z2 = xz

Solution: X = (Y*NR)/100 Y = (Z*NR)/100   X/Y = NR/100 Y/Z = NR/100   X/Y = Y/Z   Y2 = XZ   Answer: Y2 = xz
Answer: C
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?  Choose the most appropriate option.
A) Rs.250	B) Rs.300	C) Rs.350	D) Rs.450	E) Rs.550

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: A
A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 4 : 5 : 3. If C gets Rs. 10000 more than D, what is B's share?  Options.
A) Rs. 500	B) Rs. 20000	C) Rs. 1500	D) Rs. 2000	E) NOne

Solution: Sol.   Let the shares of A, B, C and D be Rs. 5x, Rs. 4x, Rs. 5x and Rs. 3x respectively.   Then, 5x - 3x = 10000 ⇔ 2x = 10000 ⇔ x = 5000.   ∴ B's share = Rs. 4x= Rs. (4x5000) = Rs. 20000.   Answer Rs. 20000
Answer: B
The wages earned by Robin is 30% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?	Options:
A) 18.75%
B) 23%
C) 30%
D) 50%
E) 100%

Solution: Let wage of Erica = 10   Wage of Robin = 1.3*10= 
1.3*10 = 13
13   Wage of Charles= 1.6 *10= 
1.6 *10 = 16
16   Percentage by which wage earned by Charles is more than that earned by Robin= (16-13)/13 * 100%   = 3/13 * 100%   =23%   Answer 23%
Answer: B
A and B together can do a work in 5 days. If A alone can do it in 15 days. In how many days can B alone do it?
Pick one.
A) 25/2 B) 15/2 C) 17/2 D) 19/2 E) 11/2

Solution: 1/5 – 1/15 = 2/15   => 15/2   ANSWER:15/2
Answer: B
A person's present age is two-fifth of the age of his mother. After 4 years, he will be one - half of the age of his mother. How old is the mother at present ?
Choose the correct choice from the following answers:  A) A)25  B) B)40  C) C)20  D) D)45  E) E)28

Solution: Let the mother's present age be x years   Then the person's present age = 2x/5   (2x/5)+4 = 1/2(x+4)   2(2x+20) = 5 (x+4)   x = 20   Answer is 20
Answer: C
Angela has 12 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?	Pick one.
A) 8  B) 9  C) 10  D) 11  E) 12

Solution: I think if Angela loses 7 individual socks,then she is bound to have lost minimum of 3 pairs and 1 individual sock,in this way she is left with only 8 pairs of socks (12-(3+1)).   Hence, 9 cannot be the answer as maximum is 8.   Hence, option (9)
Answer: B
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:  Choose the correct choice:	A) 300 kmph	B) 360 kmph	C) 600 kmph	D) 720 kmph	E) 650 kmph

Solution: Distance = (240 x 5) = 1200 km.   Speed = Distance/Time   Speed = 1200/(5/3) km/hr. [We can write 1 2/3hours as 5/3 hours]   Required speed = (1200 x3/5)	km/hr	= 720 km/hr.   Answer :720 kmph
Answer: D
The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is? Choose the correct choice from the following answers
A) (mb + nc) / (m+ m) B) (mb + nc) / (n+ n) C) (mb + nc) / (m+ n) D) (mb + nm) / (m+ n) E) (mb + nc) / (m+ n)

Solution: (mb + nc) / (m+ n)   Answer: (mb + nc) / (m+ n)
Answer: C
At a dinner party, 8 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?  Choose the correct option
A) 1) 5234	B) 2)5210	C) 3) 5760	D) 4)5732	E) 5) 5120

Solution: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!   in this case, there are 8 guests, so number of distinct arrangements = 7! = 5760   Answer : 3) 5760
Answer: C
How many positive integers C less than 10,000 are such that the product of their digits is 210?	Choose the correct choice:
A) 24
B) 30
C) 48
D) 54
E) 72

Solution: 210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.   So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to  24 + 6 + 24= 
 24 + 6 + 24 = 54
54, 54 is the answer.
Answer: D
a man follows the following steps..
1)4km towrds north
2)3km towards east
3)8km towards south
4)6km towars west
5)7km towards north
6)5km towards east
7)6km towards south
8)4km towards 4
9)finally 3km towards north
how far he is from starting point and in which direction??	Pick.
A) 3km west	B) 2km west	C) 4km west	D) 2km east	E) 2km north

Solution: final position = (4+7+3)km north (3+5)km east (8+6)km south (6+4)km west   =14km north 8km east 14km south 10km west   =(14-14)km north (10-8)= 
(10-8) = 2
2km west   ANSWER:2km west
Answer: B
If 3a = 4b and ab ≠0, what is the ratio of a/4 to b/3?  Answers: A) 64/27 B) 9/16 C) 1 D) 6/8 E) 8/6

Solution: A nice fast approach is the first find a pair of numbers that satisfy the given equation: 3a = 4b   Here's one pair: a =4 and b =3   What is the ratio of a/9 to b/8?   In other words, what is the value of (a/4)/(b/3)?   Plug in values to get: (a/4)/(b/3) = (4/4)/(3/3)= 
(4/4)/(3/3) = 1
1/1= 
1/1 = 1
1   1
Answer: C
Look at this series: 404, 369, 334, 299, 264, 229, 194 ... What number should come next?  Options:
A) 194
B) 108
C) 106
D) 107
E) 104

Solution: 194   This is a simple subtraction series. Each number is 35 less than the previous number.   194
Answer: A
a percent of b percent of c is decreased by y percent. What is the result?	Choose the correct choice from the following:
A) (100abc - ab^2c) / 1,000,000	B) (ac - b) / 100	C) (ac - b) / 10,000	D) (abc - 2b) / 100	E) (abc - 2b) / 10,000

Solution: We're told that a percent of b percent of c is DECREASED by Y percent. We're asked for the result of all of this math.   IF....   a = 10   b = 50   c = 100   First, 50% of 100 = 50   Next, 10% of 50 = 5   Finally, 5 decreased by 50% of itself is 2.5   So we're looking for an answer that equals 2.5 when a=10, b=50 and c=100.   Answer A. (100abc - ab^2c) / 1,000,000 = (5,000,000 - 2,500,000)/1,000,000 = 2,500,000/1,000,000 = 2.5   This is a M(100abc - ab^2c) / 1,000,000TCH   (100abc - ab^2c) / 1,000,000
Answer: A
If books bought at prices ranging from Rs. 110 to Rs. 240 are sold at prices ranging from Rs. 150 to Rs 280, what is the greatest possible profit that might be made in selling 10 books ? Choose the most appropriate option:  A) Rs. 1700  B) Rs. 3000  C) Rs. 3500  D) Rs. 3200  E) Rs. 3600

Solution: The greatest profit is possible only if the cost price of the books are minimum and selling prices are maximum.   Let lowest cost price of the 10 books = 110*10 = Rs. 1,100   Maximum selling price of 10 books = 280 *10 = Rs. 2,800   So, maximum profit = 2800 - 1100 = Rs. 1,700   Rs. 1700NSWER : OPTION Rs. 1700
Answer: A
Jane and Ashley take 5 5/7 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ? Choose one:
A) 12.5 Days B) 13.5 Days C) 16 Days D) 18 Days E) 20 Days

Solution: Let us assume that the work is laying 40 bricks.   Jane = 7 bricks per day   Ashley = 1 brick per day   Together =8 bricks per day   Let's say first 8 days Ashley works alone,   No of bricks = 8   Last 4 days Jane works alone,   No. of bricks = 28   Remaining bricks = 40 - 36= 
40 - 36 = 4
4   So together, they would take   4/8= 
  4/8 = 1/2 = around 0.5
0.5   Total no. of days= 8 + 4 + 0.5= 
8 + 4 + 0.5 = 12.5
12.5   12.5 Daysnswer is 12.5 Days
Answer: A
A watch was sold at a loss of 10%. If it was sold for Rs.180 more, there would have been a gain of 5%. What is the cost price?  Choose the correct choice from the following options:
A) Rs.1200
B) Rs. 1100
C) Rs. 1300
D) Rs. 1400
E) Rs. 1000

Solution: 90%   105%   --------   15% ---- 180   100% ---- ? => Rs.1200   Rs.1200nswer: Rs.1200
Answer: A
If a sample of data has mean of 22 and SD of 3, which of the following values is more than 2.5 SDs from the mean?  Select
A) a. 15	B) b. 13.5	C) c. 17	D) d. 23.5	E) e. 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either < 22-7.5= 
 22-7.5 = 14.5
14.5 or >22+7.5=29.5.   Answer: b. 13.5.
Answer: B
Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 6 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 13 blocks. How many different 13-block routes may they take to travel the shortest possible distance to their aunt’s house? Pick:
A) 13
B) (13!)/(7!6!)
C) (20!)/(13!7!)
D) 7!6!
E) 13!7!6!

Solution: If they need to walk 7 blocks north and 6 blocks east, we can express this route as NNNNNNNEEEEEE. The question thus asks us how many ways we can arrange those letters.   The number of arrangements of 13 things is 13!   We then divide by the repetitions of N's and E's, which are 7! and 6! respectively.   The number of walking routes is 13!/(7!6!).   The answer is (13!)/(7!6!).
Answer: B