MU-NLPC/Calc-aqua_rat huggingface dataset:
Of 50 applicants for a job, 30 had at least 5 years of prior work experience, 25 had advanced degrees, and 15 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?	Select the correct option:
A) 10
B) 12
C) 15
D) 18
E) 21

Solution: Had advanced degrees and 5 years work experience: 15   Only had 5 years work experience: 30-15= 
30-15 = 15
15   Only had advanced degrees: 25-15= 
25-15 = 10
10   50-15-15-10= 
50-15-15-10 = 10
10   10nswer: 10
Answer: A
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.2 kg. the weight of the new student is ? Answers:
A) 1 kg B) 10.8 kg C) 11 kg D) 14.9 kg E) None

Solution: Answer   Weight of new student = Total weight of all 20 students - Total weight of initial 19 students   = (20 x 14.2 - 19 x 15) kg   = 1 kg.   Correct Option: 1 kg
Answer: A
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 15 km/hr respectively. They will meet for the first time in? Answers
A) 50min
B) 40min
C) 35min
D) 25min
E) 20min

Solution: Clearly, the two will meet when they are 1000 m apart   To be   20+15= 
  20+15 = 35
35 km apart, they take 1 hour   To be 1000 m apart, they take   35 * 1000/1000= 
  35 * 1000/1000 = 35
35 min.   Answer is 35min
Answer: C
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Choose the correct answer.
A) 10
B) 30
C) 20
D) 60
E) 50

Solution: C   20   Let C.P. of each article be $ 1.   Then, C.P. of 50 articles = $50;   S.P. of 50 articles = $40.   Loss % = 10/50 * 100= 
10/50 * 100 = 20
20%
Answer: C
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 150 kg. What is the maximum weight of the crates on a single trip? Select:
A) 1250
B) 625
C) 600
D) 750
E) 375

Solution: Max No. of crates=5.   Max Weight=150Kg   Max. weight carried = 5*150= 
5*150 = 750
750Kg=750
Answer: D
A person crosses a 400m long street in 10minnutes. What is his speed in km per hour?
Choose the correct choice from the following choices:
A) 6.4km/hr
B) 7.9km/hr
C) 1.5km/hr
D) 2.4km/hr
E) 8km/hr

Solution: Speed = 400/10*60 = 2/3m/sec   =2/3*18/5= 
2/3*18/5 = 12/5 = around 2.4
2.4km/hr   Answer is 2.4km/hr
Answer: D
Bony has twice as many marbles as Tony, and Tony has thrice as many marbles as Vinay. Which of the following cannot be the sum of marbles with all three of them ?	Choices:
A) 72
B) 40
C) 80
D) 92
E) 52

Solution: Let each 1 marble that Vinay have Tony will have 3, Bony 6 marbles   Sum of units = 1 + 3 + 6= 
1 + 3 + 6 = 10
10 units, therefore the number must be a multiple of 10   72mong the choices only 72 is not divisible by 10   Option 72
Answer: A
How many numbers between 100 and 756 are divisible by 2, 3, and 7 together?  Options:  A) 112  B) 77  C) 267  D) 16  E) 99

Solution: Explanation:   As the division is by 2, 3, 7 together, the numbers are to be divisible by:  2*3*7= 
 2*3*7 = 42
42   The limits are 100 and 756   The first number divisible is 42*3= 
42*3 = 126
126   To find out the last number divisible by 42 within 756:    756/42= 
 756/42 = 18
18   Hence, 42*16= 756 is the last number divisible by 42 within 756   Hence, total numbers divisible by 2, 3, 7 together are (18â€“ 2) = 16   ANSWER: 16
Answer: D
A man can row a boat at 18 kmph in still water. If the speed of the stream is 3 kmph, what is the time taken to row a distance of 48 km downstream? Choose the correct choice from the following choices
A) 30/16 hours B) 30/33 hours C) 16/7 hours D) 16/13 hours E) 15/13 hours

Solution: Speed downstream = 18 + 3= 
18 + 3 = 21
21 kmph.   Time required to cover 48 km downstream= d/s = 48/21 = 16/7 hours.Answer:16/7 hours
Answer: C
A student needs 30% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
Select the correct option:
A) 400 B) 600 C) 800 D) 1000 E) 1200

Solution: 30% = 180 marks   1% = 6 marks   100% = 600 marks   The answer is 600.
Answer: B
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?  Choose the correct option.
A) 33 B) 28 C) 12 D) 88 E) 15

Solution: D = 250 m + 250 m = 500 m   RS = 80 + 70= 
80 + 70 = 150
150 * 5/18= 125/3   T = 500 * 3/125= 
500 * 3/125 = 12
12 sec.Answer: 12
Answer: C
A photograph measuring 2 1''⁄2 × 1 7''⁄8 is to be enlarged so that the length will be 4”. How many inches will the enlarged breadth be?	Options
A) 1 1⁄2 B) 2 1⁄8 C) 3 D) 3 3⁄8 E) None of these

Solution: Let enlarged breadth be x inches. Then,   5⁄2 : 4 :: 15⁄8 : x   ⇒ 5⁄2x = 4 × 15⁄8 ⇒ x = 3 inches.   Answer 3
Answer: C
January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?  Select:
A) Saturday  B) Wednesday  C) Thursday  D) Tuesday  E) Monday

Solution: Explanation:   Number of odd days in 2008 = 2 (since it is a leap year)   (we have taken the complete year 2008 because we need to find out the odd days from 01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)   Given that January 1, 2008 is Tuesday.   Hence January 1, 2009 = (Tuesday + 2 odd days) = Thursday   Answer: Option Thursday
Answer: C
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?	Select the correct option
A) 2  B) 6  C) 4  D) 5  E) 8

Solution: Formula: (Divisor*Quotient) + Remainder = Dividend.   (56*Q)+29 = D -------(1)   D%8 = R -------------(2)   From equation(2),   ((56*Q)+29)%8 = R.   => Assume Q = 1.   => (56+29)%8 = R.   => 85%8 = R   => 5 = R. so the required remainder is 5.   Answer 5)5
Answer: D
In a kilometer race, If Abhishek gives Bharti a 40 m start, Abhishek wins by 19 sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000 m?	Choose the correct choice from the following answers:
A) 150 sec
B) 750 sec
C) 450 sec
D) 825 sec
E) 920 sec

Solution: If Abhishek takes x seconds and 750 secharti takes y seconds to run 1 km, then:   =>y=150 sec and x=125 sec   =>x+19=960y/1000 and   =(960x/1000)+30=y   =>y=150 sec and x=125 sec   Answer =(150/1000)×500   = 750 sec Answer : 750 sec
Answer: B
A man lent money of Rs. 2500 on simple interest for rate on interest being same as number of years. If he got Rs. 900 as interest amount at the end of the period then what is the rate of interest?	Choose the most appropriate option
A) 6% B) 4% C) 5% D) 3% E) 2%

Solution: Explanation :   SI = pnr   SI = (2500*3r*3r)=900   r2 = 25   r = 5%   Answer : 5%
Answer: C
The ratio of the number of females to males at a party was 1:2 but when 5 females and 5 males left, the ratio became 1:3. How many people were at the party originally?  Choose the correct choice from the following answers
A) 26
B) 28
C) 30
D) 32
E) 34

Solution: The total number of people are x females + 2x males.   3*(x-5) = 2x - 5   x = 10   There were 3x = 30 people at the party originally.   The answer is 30.
Answer: C
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 42, what is the greatest possible value of the median of the 5 integers? Choose the correct option:
A) 17	B) 18	C) 19	D) 20	E) 22

Solution: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.   The average of the positive integers is 16 which means that in effect, all numbers are equal to 16. If the largest number is 42, it is 26 more than 16. We need r to be maximum so k and m should be as small as possible to get the average of 16. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 15 less than 16 and 2 is 14 less than 16 which means k and m combined are 29 less than the average. 42 is already 26 more than 16 and hence we only have 29 - 26= 
29 - 26 = 3
3 extra to distribute between r and s. Since s must be greater than r, r can be  16+1= 
 16+1 = 17
17 and s can be   16+2= 
  16+2 = 18
18.   So r is 17.   17nswer (17)
Answer: A
The difference between a two-digit number and the number after interchanging the position of the two digits is 45. What is the difference between the two digits of the number?  Pick one
A) 4	B) 6	C) 5	D) Cannot be determined	E) None of these

Solution: Let the two-digit no. be l0x + y.   Then, (10x + y) â€“ (10y + x) = 45   or, 9(x â€“ y) = 45   or, x â€“ y = 5   Answer 5
Answer: C
A grocer has a sales of Euro 220, Euro 320, Euro 480, Euro 120and Euro 720 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 620? Choose the correct choice from the following options:
A) uro 1691  B) uro 4591  C) uro 1860  D) uro 7791  E) uro 1991

Solution: C   Euro 1860   Total sale for 5 months = Euro (220 + 320 + 480 + 120 + 720)= 
(220 + 320 + 480 + 120 + 720) = 1_860
Euro 1860.   Required sale= Euro [ (620 x 6) - 1860]   = Euro (3720 - 1860)= 
(3720 - 1860) = 1_860
Euro 1860.   Answer is uro 1860
Answer: C
Carl is facing very difficult financial times and can only pay the interest on a $30,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?  Pick:
A) $1200  B) $2000  C) $2150  D) $6000  E) $12000

Solution: Usually, you are given the annual rate of interest and it is mentioned that it is annual rate.   The bank charges him a quarterly compounded ANNUAL rate of 20%.   Here you find per quarter rate as  (20/4)= 
 (20/4) = 5
5%   I have actually never seen a question with quarter rate given but since this question did not mentionannual rate of interestand since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 5% quarterly rate. So the bank charges 5% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 5% of 30,000= $6000 as our answer.   But since, the interest is compounded, it will be a bit more than $6000. Option ($6000) looks correct.
Answer: D
The greatest possible (straight line) distance, in inches, between any two points on a certain cube is 10. If the cube is modified so that its length is doubled and its width is doubled while its height remains unchanged, then what is the greatest possible (straight line) distance, in inches, between any two points on the modified box? Choose the correct choice from the following answers: A) 10√2 B) 10√3 C) 20 D) 30 E) 30√3

Solution: The greatest distance(straight line) between two points in a cube is its diagonal.   Here the length of the digaonal is 10. Side*sqrt(3) = 10   Side = 10/sqrt(3)   Since the length and breadth doubles, and height remains the same.   The new box is a cuboid with length = breadth = 20/sqrt(3) and height is 10/sqrt(3)   The straight line greatest distance is the diagonal.   Diagonal = sqrt(length^2 + breadth^2 + height^2)   Diagonal = sqrt(300) = 10*sqrt(3)   Ans : (Option 10√3)
Answer: B
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when No boy gets more than one prize? Choose the correct choice.
A) 212  B) 214  C) 317  D) 336  E) 427

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 8 ways. The second in 7 ways and the third in 6 ways. But fundamental principle, (8 x 7 x 6) ways = 336 ways   336
Answer: D
The Jhon purchased 550 square feet of Kentucky Gem sod at $1.89 per square foot and 270 square feet of Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?  Choose the most appropriate option: A) $1.63 B) $1.64 C) $1.72 D) $1.74 E) $1.76

Solution: Answer D   Average price = (550*1.89)+(270*1.38)/550+270=1.72 (Approx)   $1.72)
Answer: C
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400?  Choose the correct choice from the following choices:
A) 2887	B) 1900	C) 1892	D) 1987	E) 1902

Solution: 65 * 6 : 84 * 5 : 100 * 3   26:28:20   C share = 74000 * 95/100 = 7030 * 20/74= 
7030 * 20/74 = 1_900
> 1900   Answer:1900
Answer: B
At present,the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ?  Choose the correct choice from the following answers: A) 12 years B) 15 years C) 19½ years D) 21 years E) None of these

Solution: Solution   Let the present ages of Arun and Deepak be 4x years and 3x years respectively.   Then, 4x +6 = 26 ⇔ 4x = 20 ⇔ x =5.   ∴ Deepak's age =3x =15 years. Answer 15 years
Answer: B
Find the fourth proportional to 2.8, 4.6 and 7.6? Select the correct option:	A) 12.48	B) 13.56	C) 15.23	D) 15.34	E) 16

Solution: Formula = Fourth propotional = (b Ã— c)/a   12.48 = 2.8 , B = 4.6 and C = 7.6   (4.6 Ã— 7.6)/2.8 = 12.48   12.48
Answer: A
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 21 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Pick one:	A) 70	B) 245	C) 150	D) 35	E) 350

Solution: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7= 
0.2*0.7 = 0.14
0.14, or 14% of the boys in the camp are from school A and do not study science.   We are told that this number equals to 21, so 0.14*{total}= 21 --> {total} = 150.   Answer: 150.
Answer: C
Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 4 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT  Choose the correct choice:
A) 13
B) 10
C) 9
D) 8
E) 5

Solution: # of people times the # of hours:   4*4= 
4*4 = 16
16 --> 4 lawyers do 16worksin 4 hours.   3*8/3= 24/3= 
24/3 = 8
8 --> 3 assistants do 8 worksin 8/3 hours (2/3*5= 10/3)   So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, soANS 8
Answer: D
Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor? Choose the correct choice from the following answers:
A) 5!/5^5  B) 5^5/5!  C) 5/5!  D) 5/5^5  E) 1/5^5

Solution: Each person out of 5 has 5 options, hence total # of outcomes is 5^5;   Favorable outcomes will be 5!, which is # of ways to assign 5 different buttons to 5 people   So basically # of arrangements of 5 distinct objects: 5!.   P=favorable/total=5!/5^5   5!/5^5nswer: 5!/5^5.
Answer: A
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 15000, then find his savings? Choose one
A) 3600  B) 3607  C) 3608  D) 3602  E) 3000

Solution: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.   Income, 5x = 15000 => x = 3000   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs. 3000.   Answer:3000
Answer: E
In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly? Select
A) 2/5
B) 16/20
C) 9/10
D) 3/5
E) 1/3

Solution: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10.   Answer: 9/10.
Answer: C
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Choose one.
A) 2.87
B) 2.88
C) 2.8
D) 2.86
E) 2.81

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer: 2.88
Answer: B
For any numbers a and b, a#b = ab(5 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?  Choose the most appropriate option
A) 3,2
B) 3,2,1
C) 4,3,2,1
D) 4.4
E) 5,4

Solution: a#b positive then b may be positive or negative. if positive then b< 5 may be 4,3,2 or 1 and if negative then it is more than or equal to -1 negative . ab will be -ve which is not possible as a and a#b should be positive.   ans 4 ,3,2 and 1   4,3,2,1
Answer: C
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?	Pick:
A) 41 years
B) 40 years
C) 76 years
D) 14 years
E) 16 years

Solution: Sum of the present ages of husband, wife and child   = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present age of wife and child= (20 * 2 + 5 * 2)= 
(20 * 2 + 5 * 2) = 50
50 years.   Husband's present age= (90 - 50)= 
(90 - 50) = 40
40 years.   Answer:40 years
Answer: B
How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?  Choose the most appropriate option:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: 100001   100010   100100   101000   110000   200000   TOTAL NO =6   6
Answer: D
A and B go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. After how much time will they meet for the first time at the starting point?
Choose one:  A) 120 sec  B) 198 sec  C) 178 sec  D) 20 sec  E) 276 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 200/ (36 * 5/18) , 200/ (72 * 5 /18) }   = LCM (20, 10) = 20 sec.   Answer:20 sec
Answer: D
The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 40 percent, then the value of T decreases by what percent? Options
A) 25%  B) 33 ¹/₃%  C) 25%  D) 66 ²/₃%  E) 75%

Solution: We can assign numbers:   lets say S = 2, K = 6 (constant) and T = 3 (so that S=K/T)   Now increasing S by 40% gives S=4, K remains constant, so T = 2 (6/2=3)   decrease in T= 1, percent decrease in T = (1/4)*100= 
(1/4)*100 = 25
25%   Answer 25%
Answer: C
The average of 15 numbers is 75. Average of the first 8 of them is 68 and that of the last 8 is 77. Find the 8th number?	Select
A) 51  B) 87  C) 35  D) 75  E) 68

Solution: Sum of all the 15 numbers = 15 * 75 = 1,125Sum of the first 8 of them = 8 * 68= 
8 * 68 = 544
544Sum of the last 8 of them= 8 * 77= 
8 * 77 = 616
616So, the 8th number= 544 + 616 - 1,125= 35.Answer: 35
Answer: C
An unbiased die is tossed. Find the probability of getting a multiple of 3  Choose the correct answer
A) 1/3 B) 2/5 C) 1/4 D) 2/3 E) 3/7

Solution: Here S = {1,2,3,4,5,6}   E = event of getting a multiple of 3   E = {3,6}   P(E) = 2/6 = 1/3   1/3nswer is 1/3
Answer: A
The radius of a semi circle is 6.4cm then its perimeter is?	Choose the correct choice from the following choices:
A) 32.9	B) 32.4	C) 22.4	D) 32.8	E) 32.1

Solution: 36/7 r = 6.4 = 32.9   32.9nswer:32.9
Answer: A
if
111 = 09
444 = 12
777 = 15
then
888 = ??? Pick one:  A) 18  B) 11  C) 17  D) 19  E) 15

Solution: 15   15   One+one+one(3+3+3)=09   Four+Four+Four (4+4+4)= 
 (4+4+4) = 12
12   Seven+Seven+Seven  (5+5+5)= 
  (5+5+5) = 15
15   Therefore   15ight+15ight+15ight (5+5+5)= 
 (5+5+5) = 15
15
Answer: E
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 10 minutes, then the area of the park (in sq. m) is  Choose the correct choice.
A) 153200 B) 240000 C) 153600 D) 154000 E) 154200

Solution: Perimeter = Distance covered in 10 min. = 12000 x 10 m = 2000 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 2000 or x = 200.   Length = 600 m and Breadth = 400 m.   Area = (600 x 400) m2 = 240000 m2.   240000
Answer: B
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Choices.
A) 10.5	B) 10.0	C) 10.3	D) 10.8	E) 10.2

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 160= 
140 + 160 = 300
300 m.   Required time= 300 * 9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   Answer: 10.8
Answer: D
Abhi roll a dice and he will get money 3 times the outcome. He gives K to shaylendar for every roll. Finally he gets profit of 3 rupees in every roll. what is the value of k?  Pick:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: as for 1st roll he gets 3 rupees and if he give 3 to shylendar he will have =3   2 = 6, 6-3=3   3 = 9, 9-3=6   4 = 12, 12-3=9................   so he is getting profit of 3 in every roll....... ans=3   ANSWER:3
Answer: B
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?	Choose the correct choice from the following answers:
A) 31/59
B) 59/31
C) 18/62
D) 62/18
E) 22/63

Solution: 7:3=>7x+3x=10x   2:17 +3= 
7 +3 = 10
10x   2:1=>2y+1y=3y   3:22 +1= 
2 +1 = 3
3y   3:2=>3z+2z=5z   10x3 +2= 
3 +2 = 5
5z   10x=3y=5z   Take LCM of 10,3,5=30   Or simply;   x=3   y=10   z=6   So,   Ratio of Water:Milk= (3x+y+2z)/(7x+2y+3z)=31/59   31/59ns:31/59
Answer: A
A scooter costs 25,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choose the correct choice from the following
A) 10,000 B) 12,500 C) 12,800 D) 12,000 E) None of these

Solution: After first year, the value of the scooter = 20,000   After second year, the value of scooter = 16,000   After third year, the value of scooter = 12,800   Answer 12,800
Answer: C
If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?  Choose the correct choice from the following answers:
A) 8	B) 12	C) 21	D) 24	E) 60

Solution: If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?   let the certain number be 240, which is both divisible by 16 and 30.   240/21 = 80/7   C. 21
Answer: C
Sakshi can do a piece of work in 10 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :  Options:
A) 8
B) 16
C) 18
D) 25
E) 10

Solution: Solution   Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .   Suppose Tanya taken x days to do the work.   5 : 4 : : 10 : x ⇒ x = (10x4/5) ⇒ x = 8 days.   Hence,Tanya takes 8 days is complete the work.   8nswer 8
Answer: A
A man buys an article for $10. and sells it for $15. Find the gain percent?  Choose the correct choice from the following options:  A) 25%  B) 50%  C) 20%  D) 15%  E) 30%

Solution: C.P. = $10   S.P. = $15   Gain = $5   Gain% = 5/10 *100= 
5/10 *100 = 50
50%   Answer is 50%
Answer: B
The number of new words that can be formed by rearranging the letters of the word 'RAM' is ?	Choose the correct option:
A) 5	B) 6	C) 10	D) 13	E) 15

Solution: Number of words which can be formed = 3! - 1   = 6 - 1= 
6 - 1 = 5
5   5nswer:5
Answer: A
When 16 is divided by the positive integer k, the remainder is 1, for how many different values of k is this true?
Choose the correct choice from the following choices.
A) 1
B) 2
C) 3
D) 5
E) 6

Solution: When 16 is divided by k, remainder is 1 i.e. there is 1 ball leftover after grouping. so k must be greater than 1.   It also means that 15 is completely divisible by k.   Factors of 15 are 1, 3, 5, 15   Out of these, k can be 3, 5 and 15.   Answer (3)
Answer: C