MU-NLPC/Calc-aqua_rat huggingface dataset:
A committee of three people is to be chosen from 5 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?	Choose one.
A) 16
B) 24
C) 26
D) 30
E) 80

Solution: Total no of ways of choosing a committee = 10C3 = 120   No of ways to choose first couple = 5C1 = 5   No of ways to choose 1 person from remaining 8 = 8C1 = 8   Total number of ways of choosing a married couple to be in the same committee = 5*8= 
5*8 = 40
40   So, no of ways not choosing a married couple= 120-40= 
120-40 = 80
80   ANS:E. 80
Answer: E
A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set? Options
A) 32
B) 37
C) 42
D) 43
E) 50

Solution: The correct answer is D.   A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?   Given 14 different integers, lets say   n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15   Also given median is 25 i.e. n8 = 24   n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15   As each integer is different we need to find the maximum values for all those numbers before the median.   the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..   18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15   Also given the range is 25 i.e. n15 - n1 (18) = 24   The maximum value n15 can have is 24 + n1 (18) = 42   42
Answer: C
Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Pick
A) 81.6 B) 81.9 C) 81.2 D) 81.3 E) 81.1

Solution: SI = 40 + 40   CI = 40 + 40 + 1.6= 
40 + 40 + 1.6 = 81.6
81.6   81.6nswer: 81.6
Answer: A
The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-half of its original value. How many amperes of electrical current will flow through the wire? Choose the correct choice from the following options
A) 1 B) 2 C) 4 D) 8 E) 12

Solution: Given that, I∝1/R, I*R is a constant value.   I1*R1 = I2*R2   I1*R1 = I2*R1/2   I2 = 2*I1 = 8 amperes   The answer is 8.
Answer: D
A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $33 if each film contains 36 photos?	Select the correct option:	A) 2 films and 26 photos	B) 5 films and 6 photos	C) 5 films and 14 photos	D) 6 films and 4 photos	E) 6 films and 28 photos

Solution: 1st photo = 0.55   Subsequent = 0.55*0.6= 
0.55*0.6 = 0.33
0.33   Price of 1 full film=0.55+0.33*35= 
0.55+0.33*35 = 12.1
12.1   Price of 4 full film= 12.1*2= 
12.1*2 = 24.2
24.2   33-24.2= 
33-24.2 = 8.8
8.8   8.8=0.55+0.33x   x=25   33--->2 full films and  1+25= 
 1+25 = 26
26 photos   2 films and 26 photosnswer: 2 films and 26 photos
Answer: A
What is the sum of all three digit integers formed using the digits 2,3 and 4 (repetition is allowed) Select the correct option:
A) 4444
B) 6100
C) 8991
D) 7110
E) 8800

Solution: n = 3*3*3= 
3*3*3 = 27
27= (444 + 222) / 2= 
(444 + 222) / 2 = 333
333   Sum= number of integers x average value   n * = 27 * 333= 
27 * 333 = 8_991
8991   answer= 8991
Answer: C
If a tap could fill entire tank in 15 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage
Choose the correct choice:
A) 12hrs	B) 24hrs	C) 60hrs	D) 48hrs	E) 52hrs

Solution: time take to fill[withleakage] =15hrs so workdone in 1hr=1/15   time tkae to fill[without leakage]=12hrs so workdone in 1hr=1/12   if u subtract both u'll get time taken by leakage to empty...   1/15-1/12=1/60 so 60hrs   ANSWER:60hrs
Answer: C
A train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?  Choose the correct choice from the following answers
A) 340 meters B) 360 meters C) 420 meters D) 600 meters E) Cannot be determined

Solution: Speed of train = 72 * (5/18)= 
72 * (5/18) = 20
20 m/s   Lets consider the man as a stationery point on the platform.   Crossing the point gives us the length of the train.   Lt= 20 * 18= 
20 * 18 = 360
360 m.   Crossing the platform gives us the length of trainlength of platform.   L(t+p)= 20 * 35= 
20 * 35 = 700
700 m.   So, length of platform= 700 - 360= 
700 - 360 = 340
340 m   IMO, 340 metersnswer   340 meters
Answer: A
Baby Isabel plays with blocks. Each block is 3.7 inches tall. She has a collection of 41 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?  Choose the most appropriate option:
A) 67"
B) 90"
C) 106"
D) 120"
E) 151.7"

Solution: 3.7"*41=151.7". Answer is 151.7".3.7 *41= 
3.7 *41 = 151.7
151.7". Answer is 151.7".
Answer: E
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?  Choose the correct choice from the following choices:
A) 299 m B) 188 m C) 500 m D) 188 m E) 182 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer: 500 m
Answer: C
A train is moving at a speed of 90km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Choose the correct choice from the following answers
A) 30sec  B) 45sec  C) 36sec  D) 20sec  E) 52sec

Solution: Speed of the train = 90*5/18= 
90*5/18 = 25
25 m/sec   20secistance moved in passing the standing man= 500m   Required time taken = 500/(25)= 
500/(25) = 20
20sec   Answer is 20sec
Answer: D
A set of 11 positive integers has an average of 15. Which of the following is the greatest possible value for the median of this set? Pick
A) 26 B) 30 C) 36 D) 45 E) 46

Solution: for the median to be max , we should take all the values below meadian to be the lowest and the remaining values to be the same..   here 1 is the lowest value(positive int) so the lowest 5 int will equal 5..   remaining 6= 15*11-5=160..   therefore each valueof these 6 int =160/6=26   ans 26
Answer: A
How many integers between 100 and 500 are there such that their unit digit is even?	Select the correct option:
A) 100
B) 120
C) 200
D) 50
E) 150

Solution: 400 numbers between - 100 and 400   Out of which half would be even, half odd.   Number of even unit digit number = 200.   correct option is 200
Answer: C
Which of the following fractions is not a terminating decimal?
Choose the correct choice from the following:
A) 2/3 B) 3/4 C) 4/5 D) 7/8 E) 9/10

Solution: 2/3 = recurring fraction of 0.6666   3/4= 
3/4 = 3/4 = around 0.75
0.75   4/5= 
4/5 = 4/5 = around 0.8
0.80   7/8= 
7/8 = 7/8 = around 0.875
0.875   9/10= 
9/10 = 9/10 = around 0.9
0.90   2/3nswer : 2/3
Answer: A
In a queue if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?  Choose the correct choice from the following answers
A) 10  B) 20  C) 30  D) 40  E) 50

Solution: Sol. Required number = 16 *^30 = 20   20
Answer: B
How many different arrangements of A, B, C, D, E AND F are possible where A is not adjacent to B and D is not adjacent to E?
Answers:  A) 96  B) 48  C) 32  D) 144  E) 1

Solution: So you have A,B,C,144,E,F   five possible ways to arrange it = 6! = 720   AB cannot be adjacents neither 144E:   (AB),C,144,E,F = 5! =120 x 2(because it can be (AB) or (BA) ) = 240   A,B,C,(144E) = 5! = 120 x 2 = 240   To get rid of the double counting:   (AB),C,(144E),F = 4! x 4 = 96   (Four possible ways to arrange it)   720 -240-240+96 = 144 possible ways   144
Answer: D
A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?  Choose the correct choice from the following choices:  A) 115  B) 117  C) 116  D) 114  E) 112

Solution: Explanation:   Length = 6 m 24 cm = 624 cm   Width = 4 m 32 cm = 432 cm   HCF of 624 and 432 = 48   Number of square tiles required = (624 x 432)/(48 x 48) = 13 x 9 = 117.   Answer IS 117
Answer: B
Due to construction, the speed limit along an 12-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?	Choose the correct answer:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: 12/35 - 12/55 = 12/5 * ( 11 - 7)/77   = 12/5 * 4/77 * 60 min   = 12 * 12 * 4/77   = 576/77 ~ 7.4   Answer - 7
Answer: D
John works full-time, 40 hours a week, selling cars at the local auto mall. His sales quota for a week is $20,000. How much does John have to sell per hour to make his sales quota?	Choose the correct choice from the following options:	A) 200	B) 250	C) 500	D) 1000	E) 700

Solution: There are 40 hours in a work week. If his quota is $20,000, then we simply divide 40 by $20,000.   20,000 / 40 = 500.   Therefore, John has to sell at least $500 per hour to meet his weekly quota of $20,000.   Thus, the correct answer is 500.
Answer: C
Walking 7/8th of its usual speed a man is 6 minutes too late the usual time taken by him to cover that distance is?  Choose the correct choice from the following options
A) 15min
B) 1hr 5 min
C) 1hr 8 min
D) 42min
E) 52min

Solution: need speed =7/8 of the used speed   new time= 8/7 of usual time   (8/7 of the usual time)- (usual time)=1/10hr   1/ 7 of the usual time=1/10   usual time =7/10=42 min   Answer(42min)
Answer: D
how many 6 digits numbers have all their digits either all odd or all even?
Select the correct option:
A) 27125  B) 28125  C) 29125  D) 26125  E) 25125

Solution: With all even digits=4*5^5 (Even digits->0,2,4,6,8)   2 _ _ _ _ _ | 4 _ _ _ _ _ | 6 _ _ _ _ _ | 8 _ _ _ _ _ (the gaps can be filled by any of the no.s 0,2,4,6,8)   with all odd digitd=5*5^5   1 _ _ _ _ _| 3 _ _ _ _ _| 5 _ _ _ _ _| 7 _ _ _ _ _ |9 _ _ _ _ _ (The gaps can be filled with any of 1,3,5,7,9)   So, total number of 6digit no. with all digits odd or all even is:   (4*5^5)+(5*5^5)=12500+15625= 
12500+15625 = 28_125
28125   ANSWER:28125
Answer: B
A, B and C entered into a partnership. A invested Rs. 2,560/- and B invested Rs. 1105/-, out of which A got Rs 320. C’s capital was  Choose the correct choice from the following answers:
A) Rs. 2840/- B) Rs. 4028/- C) Rs. 4280/- D) Rs.4820/- E) None of these

Solution: Explanation:   Let A : B : C = 2560 : 2000 : x. Then,   A’s share = [1105 * 2560/(4560 + x)]   Therefore (1105 * 2560)/(4560+x) = 320 => 4560 + x = (1105 * 2560)/320= 
(1105 * 2560)/320 = 8_840
8840= x = 8840 – 4560 = Rs. 4280/-   Hence, Rs. 4280/-’s capiatal Rs 4280/-   Answer: Option Rs. 4280/-
Answer: C
Five times the fifth term of an A.P is equal to six times the sixth term of the A.P, What is the value of the eleventh term?
Choose one.
A) 1
B) 5
C) 0
D) 2
E) 3

Solution: 5( a + 4d ) = 6 ( a + 5d ), 5a + 20d = 6a + 30d, a + 10d = 0,   i.e 11 th = 0   ANSWER:0
Answer: C
How many 1/8s are there in 37 1/2?	Choose the most appropriate option
A) 300	B) 400	C) 500	D) 600	E) 700

Solution: Required number = (75/2)/(1/8)   = (75/2 x 8/1)   = 300.   300NSWER:300
Answer: A
During the first two weeks of January, the total rainfall in Springdale was 25 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?	Select:	A) 5 inches	B) 6 inches	C) 9 inches	D) 10 inches	E) 15 inches

Solution: Total rainfall in 2 weeks = 25 inches.   Assume the rainfall in second week = 1.x   Rainfall in first week = x   Total rainfall = 2.5x =25 inches   x = 10 and 1.5x = 15   Rainfall during second week = 9 inches   Option 15 inches
Answer: E
The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Select the correct option
A) 3x + y - 20 = 0  B) y - 3x - 11 = 0  C) -3x + y - 15 = 0  D) -2x - y - 7 = 0  E) -3x + y + 13.5 = 0

Solution: The question is made to look difficult though it is pretty simple if you focus on just the line and use process of elimination. (Remember that GMAT does not focus on parabolas so basically, the question should be quite do-able even if someone doesn't know how to handle parabolas.)   The line has a point (-5, y) on it where y is positive (since the point lies in upper left quadrant).   In options B ,C D and E, if you put x = -5, you get -ve value for y co-ordinate. So ignore them.   3x + y - 20 = 0nswer must be (3x + y - 20 = 0)
Answer: A
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 100 years now, the son's age five years back was:  Choose the correct answer: A) 45 years. B) 40 years. C) 30 years. D) 35 years. E) 50 years.

Solution: Let the son's present age be x years. Then, (100 - x) = x   2x = 100.   x = 50.   Son's age 5 years back (50 - 5)= 
(50 - 5) = 45
45 years.   45 years.nswer: Option 45 years.
Answer: A
There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?  Choose the correct choice from the following options:	A) 1/2	B) 2/3	C) 32/35	D) 11/12	E) 13/14

Solution: Total probability=8C3=56   4C3 +4C2*4C1+4C1*4C2=4+24+24= 
4+24+24 = 52
52   therefore the probability that at least one of the fashion magazines will be selected= 52/56=13/14   answer is 13/14
Answer: E
find the number of 6 digit numbers that can be formed using digits 1,2,3,4,5,6 once such that the 6digit number is divisible by its unit digit.  Choose the correct choice
A) 646 B) 648 C) 650 D) 652 E) 654

Solution: There are 6 numbers which can be placed in units digits.   case 1: When the unit digit is 1,2,3,5,6 whatever the other numbers are the 6 digit number will be surely divisible by the unit digit.   Hence the 5 numbers in the units place can be placed in 5 ways and the remaining 5 numbers can be arranged in 5! ways.   5*5!=600 ways   Case 2: If the unit digit is 4, then the tens digit should be 2 or 6, hence 24 or 64 can be arranged in the last two places in 2 ways and the remaining 4 numbers can be arranged in 4 places in 4!ways.   2*4!=48 ways   Total no.of.ways= 600+48= 
600+48 = 648
648 ways.   ANSWER:648
Answer: B
Health insurance Plan E requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?  Choose the most appropriate option:	A) $600	B) $1000	C) $3800	D) $5300	E) $6200

Solution: 0.5 * 600= 
0.5 * 600 = 300
300 where E= $1000.
Answer: B
A man buys Rs. 60 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:  Choose the correct choice
A) s. 12	B) s. 15	C) s. 18	D) s. 21	E) s. 45

Solution: Dividend on Rs. 60 = Rs.	9/100	x 60 =Rs.	5.4	.   Rs. 12 is an income on Rs. 100.   Rs.	5.4	is an income on Rs.100/12 x 5.4	= Rs. 45.   Answer: Option s. 45
Answer: E
In the formula V = 1/(2r)^4, if r is halved, then V is multiplied by  Choose the correct choice from the following choices:
A) 8 B) 64 C) 1 D) 1/8 E) 2

Solution: Say r=2 => V1 = 1/32   when r=1; V2 = 1/16   V2 = 2*V1.   Answer=22* 1.= 
2* 1. = 2
2=2
Answer: E
Select the non termination decimal among the following.
Choose one.
A) 5/3  B) 3/4  C) 4/5  D) 7/8  E) 9/10

Solution: A. Non terminating decimal means that 5/3 = 1.66666 and so on.
Answer: A
36, 34, 30, 28, 24, 22, 18, ?
Select:
A) 16	B) 14	C) 12	D) 10	E) 8

Solution: This is an alternating number subtraction series. The pattern is -2, -4, -2, ....   The answer is 16.
Answer: A
The ratio of the areas of two squares, one having double its diagonal then the other is:  Options:
A) 2:1  B) 1:2  C) 2:3  D) 1:4  E) 4:1

Solution: Lenth of the diagonals be 2x and x units.   areas are 1/2 × (2x)power2 and (1/2 × (xpower2))   Required ratio = 1/2 × 4 x2 : 1/2 x2 = 4 : 1   Answer is 4:1.
Answer: E
Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?  Choose one
A) 3.625
B) 3.5
C) 4
D) 4.5
E) 5

Solution: Set up two R x T =D cases.   1. 1/10 km/ min x T = 2.5   from which T= 25 mins.   We know total journey time now is  45 +25= 
 45 +25 = 70
70   The rate is the same ie 1/10km/min.   set up second R x T=D case.   1/10 km/min x 70 = 7 km   Now the total journey would be halved as distance would be same in each direction. 7/2 =3.5   3.5.
Answer: B
What is the probability that a number selected from numbers 1,2,3,...,30, is prime number, when each of the given numbers is equally likely to be selected?  Select.
A) 1011	B) 1041	C) 9018	D) 1030	E) 1020

Solution: X={2,3,5,7,11,13,17,19,23,29}X={2,3,5,7,11,13,17,19,23,29}   n(X)=10,n(S)=30   Hence required probability,   =n(X)n(S)   =1030   1030
Answer: D
Find the unit's digit in 264^102 + 264^103
Choose the most appropriate option:
A) zero 0
B) 1
C) 2
D) 4
E) 5

Solution: Required unit's digit = unit's digit in 4102+4103.4102+4103.   Now, 4242 gives unit digit 6.   ⇒ 41024102 gives unit digit 6.   ⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.   Hence, unit's digit in 264102 +264103264102+264103   = unit's digit in (6+4)=0   zero 0
Answer: A
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 181 books with me to gift her.
Can you calculate, on which day is our anniversary?	Choose the correct choice from the following choices
A) 31  B) 18  C) 23  D) 33  E) 25

Solution: B   18rd day   1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 181   Thus our anniversary falls on the 18rd day of the month.   You can apply other formulas to shorten the process but that is the simplest way to do it.
Answer: B
An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 15 as commission, the cloth sold through him on that day is worth Select the correct option.
A) 333  B) 600  C) 887  D) 299  E) 132

Solution: Explanation:   Let the total sale be Rs. x.   Then, 2.5%. of x = 15 <=> (25/10 * 1/100 * x) = 15 <=> x = 600.   Answer: 600)
Answer: B
On a partly rainy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?	Pick one.
A) 1/7	B) 1/4	C) 1/3	D) 1/2	E) 1

Solution: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is 2/14 = 1/7. 1/7nswer: 1/7
Answer: A
If a mixture is 2⁄7 alcohol by volume and 3⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture? Select.
A) 3 B) 1/3 C) 2/3 D) 3/5 E) 4/5

Solution: Should be a sub-600 level Q..   volume= {2/7}/{3/7}=2/3   2/3
Answer: C
A cyclist covers a distance of 750 meter in 3 minutes 30 seconds. What is the speed in km/hr of cyclist  Options:	A) 16 km/hr	B) 17 km/hr	C) 18 km/hr	D) 19 km/hr	E) 135 km/hr

Solution: 135 km/hrxplanation:   Speed=Distance/Time   Distance=750meter   Time=3 min 30sec=210sec   Speed=750/210=37.5m/sec   =>37.5âˆ—18/5km/hr=135km/hr   Option 135 km/hr
Answer: E
How many four-digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there?  Pick one: A) 168 B) 176 C) 184 D) 192 E) 200

Solution: The 1st digit can be filled up by the numbers: {1,8,9} = 3 ways   The 2nd digit can be filled up by the numbers: {0,1,8,9} = 4 ways   The 3rd digit can be filled up by the numbers: {0,1,8,9} = 4 ways   The 4th digit can be filled up by the numbers: {0,1,8,9} = 4 ways   The total number of such four-digit numbers is   3*4*4*4= 
  3*4*4*4 = 192
192   The answer is 192.
Answer: D
A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
Choose the correct option
A) 12 : 3 : 4	B) 13 : 2 : 4	C) 13: 2 : 1	D) 15: 16 : 28	E) none

Solution: Sol.   A : B : C = (50000 * 36) : (80000 * 12 + 40000 * 24)   : (120000 * 24 + 40000 * 12) =180 : 192 : 336 = 15: 16 : 28   Answer 15: 16 : 28
Answer: D
What is the leastvalue of x. So that 23x57 is divisible by 3? Choose the correct choice
A) 3
B) 4
C) 1
D) 5
E) 6

Solution: The sum of the digits of the number is divisible by 3, then the number is divisible by3.   2 + 3 + x + 5 + 7 = 17 + x   Least value of x may be 1   Therefore  17 + 1= 
 17 + 1 = 18
18 is divisible by 3.   1
Answer: C
If |4x+14| = 46, what is the sum of all the possible values of x?
Options
A) 2 B) -7 C) 4 D) -5 E) 6

Solution: There will be two cases   4x+14= 46 or 4x+14 = -46   => x =8 or x= -15   sum of both the values will be -15 +8 = -7   Answer is -7
Answer: B
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?  Select the correct option:
A) 288	B) 270	C) 287	D) 209	E) 271

Solution: I = (500*9*6)/100= 
(500*9*6)/100 = 270
270   Answer: 270
Answer: B
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Pick one.
A) 22 B) 20 C) 99 D) 77 E) 655

Solution: x ------- 9   (x + 10) ---- 6   x * 9 = (x + 10)6   x = 20   Answer:20
Answer: B
A box contains ten light out of which 5 are defective. If five light are chosen at random, find the probability that all the five light are defective?	Choose the correct choice from the following:	A) 2/523	B) 3/253	C) 5/126	D) 3/252	E) 1/252

Solution: Out of nine light , five are good and four are defective.   Required probability = 5C5/10C5 = 1/252   1/252
Answer: E
11 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Choose the correct option.
A) 80	B) 160	C) 720	D) 1100	E) 1540

Solution: No. of ways of picking 2 biology books(from 11 books) = 11c2 = (11*10)/2= 
(11*10)/2 = 55
55   No. of ways of picking 2 chemistry books(from 8 books)= 8c2 = (8*7)/2= 
(8*7)/2 = 28
28   Total ways of picking 2 books of each type= 55*28= 
55*28 = 1_540
1540   (Option 1540)
Answer: E
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?	Choose the correct choice from the following answers.
A) 6 km
B) 3 km
C) 7 km
D) 9 km
E) 2 km

Solution: Let the total distance be 3x km.   Then, x/3 + x/4 + x/5 = 47/60   47x/60 = 47/60 => x = 1.   Total distance = 3 * 1= 
3 * 1 = 3
3 km.   Answer:3 km
Answer: B