MU-NLPC/Calc-aqua_rat huggingface dataset:
A seller purchased some mangoes for Rs 800 and some apples for Rs. 900. He sold the mangoes at a loss of 4 percent and apples at a profit of 10 percent. Overall he make a.?  Choices.
A) 55 B) 58 C) 56 D) 60 E) 50

Solution: Let the SP of the mangoes and apples be Rs. m and Rs. a respectively.   m = 800(1 - 4/100) = 800 - 32   a = 900(1 + 5/100) = 900 + 90   Total SP - Total CP = m + a - (800 + 900) = - 32 + 90 = Rs. 58   As this is positive, an overall profit of Rs. 500 was made.   Answer: 58
Answer: B
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10%, what should be the SP?
Choose the correct choice from the following options:
A) 430
B) 450
C) 550
D) 590
E) 600

Solution: Find Selling Price to gain 10 %.   Now, we are asked to find selling price to gain 10% profit.   Hint:   Selling Price = (100 + Gain%) × C.P.   100   Selling Price = (100 + 10) × 500   100   Selling Price = (110) × 500   100   Therefore, selling Price = Rs.550   550
Answer: C
John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?	Choose the correct choice from the following choices
A) 235 miles. B) 245 miles. C) 240 miles. D) 265 miles. E) 275 miles.

Solution: The total distance D traveled by John is given by   D = 45 * 2 + 3 * 50= 
45 * 2 + 3 * 50 = 240
240 miles.   Answer 240 miles.
Answer: C
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest. Choose the correct answer:
A) 40%
B) 30%
C) 20%
D) 10%
E) 5%

Solution: Explanation:   Let the sum be x   Simple interest on x for 2 years = Rs.2000   Simple interest = PRT/100   2000 = x Ã— R Ã— 2100   â‡’ x R = 100000 --- (1)   Compound Interest on x for 2 years = 2400   P(1+R/100)T âˆ’ P = 2400   x (1+R/100)2 âˆ’ x = 2400   x (1 +2R/100+R210000)âˆ’x=2400x(2R100+R210000)=2400   2xR/100 + xR2/10000 = 2400--- (2)   Substituting the value of xR from (1) in (2) ,we get   (2Ã—100000)/100 + 100000 Ã— R10000 = 2400   2000+10R = 2400   10R=400   R=40%   40%nswer: Option 40%
Answer: A
If X is the least common multiple of 90,196, and 300, which of the following is NOT a factor of X?
Choose the most appropriate option
A) 600
B) 700
C) 900
D) 2,100
E) 4,900

Solution: IF X is the least common multiple of 90,196 and 300, which of the following is NOT a factor of X?   600- 600   B- 700   C- 900   D- 2100   E- 4900   90 = 2 * 3 * 3 * 5   196 = 2 * 2 * 7 * 7   300 = 2 * 2 * 3 * 5 * 5   LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7 * 7   (TWO 2, TWO 3, TWO 5, TWO 7)   600 = 2 * 2 * 2 * 3 * 5 * 5   700 = 2 * 2 * 5 * 5 * 7   900 = 2 * 2 * 3 * 3 * 5 * 5   2100 = 2 * 2 * 3 * 5 * 5 * 7   4900 = 2 * 2 * 5 * 5 * 7 * 7=600
Answer: A
A number whose fifth part increased by 2 is equal to its fourth part diminished by 2 is ?  Choices:
A) 160 B) 80 C) 200 D) 220 E) None

Solution: Answer   Let the number be N.   Then, (N/5) + 2 = (N/4) - 2   â‡’ (N/4) - (N/5) = 4   â‡’ (5N - 4N)/20 = 4   âˆ´ N = 80   Option: 80
Answer: B
A football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be	Choose the correct choice from the following answers:
A) 4
B) 6
C) 8
D) 11
E) 12

Solution: While this question can be solved with a rather straight-forward algebra approach (as the other posters have noted), it can also be solved by TESTing THE ANSWERS. One of those numbers MUST be the total number of goals...   From a tactical standpoint, it's best to TEST either Answer B or Answer D, so if the answer is not correct, then you would have a gauge for whether you should go higher or lower with your next TEST.   Here, I'll start with Answer D = 11 goals   If....   Total goals = 11 goals   5th game = 3 goals   1st 4 games = 8 goals   Avg. for 4 games = 8/4= 
8/4 = 2
2 goals/game   Avg. for all 5 games= 6/5 = 2.2 goals/game    2.2*5= 
 2.2*5 = 11
11   so Answer 11
Answer: D
A heap of coconuts is divided into groups of 2, 3 and 7 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61  Choose the correct choice:
A) A)31
B) B)43
C) C)51
D) D)61
E) E)71

Solution: LCM = 42   => 42 + 1= 
42 + 1 = 43
43   ANSWER:43
Answer: B
If b is an integer greater than 6, which of the following must be divisible by 3? Choose the correct choice from the following choices.
A) b (b+3) (b-5)  B) b (b+2) (b-1)  C) b (b+1) (b-4)  D) b (b+4) (b-2)  E) b (b+5) (b-6)

Solution: anything in the form of (b-1) (b) (b+1) is divisible by 3. in other word, a product of any 3 consecutive intevers is divisible by 3.   b (b+1) (b-4) = b (b+1) ((b-1)-3) is equivalant to (b-1) (b) (b+1)   b (b+2) (b-1) is equivalant to (b+1) missing.   b (b+3) (b-5) is equivalant to (b-1) missing and b repeating.   b (b+4) (b-2) is equivalant to odd/even consqcutive integers   b (b+5) (b-6) is equivalant to (b+1) missing and b repeating.   Answer : b (b+1) (b-4)
Answer: C
If 144/0.144 = 14.4/x, then the value of x is:	Select the correct option
A) 2.
B) 1.
C) -1.
D) -2.
E) 0

Solution: Given Expression   =[a(Power2) - b(Power 2)]/(a + b)(a - b)   =[a(Power 2 - b(Power 2)]/[a(Power 2) - b(Power 2)]   = 1.   Answer is 1..
Answer: B
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 15. What is the last numbers?	Choose the correct option
A) 2	B) 4	C) 6	D) 5	E) 7

Solution: A + B + 6 = 48   B + 6 + D = 45   A + D = 13   A – D = 3   A + D = 15   2D = 12   D = 6   ANSWER 6
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 the correct choice from the following answers:
A) 2.89  B) 2.88  C) 2.85  D) 2.81  E) 2.82

Solution: Answer & 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
If f(x) = 3x − √x and g(x) = x^2, what is f(g(2))?
Choose the correct choice.
A) -4  B) 10  C) 16  D) 32  E) 44

Solution: g(x) = x²   g(2) = 2² = 4   So, f(g(2)) = f(4)   f(x) = 3x − √x   So, f(4) = 3(4) − √4   = 12- 2= 
12- 2 = 10
10= 10
Answer: B
How many possible ways are there to select 2 stocks at random from 8 stocks?	Pick:
A) 26
B) 28
C) 30
D) 32
E) 34

Solution: 8C2 = 28   The answer is 28.
Answer: B
The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by	Answers
A) 0.0021% B) 0.021% C) 2.1% D) 21% E) None

Solution: Sol.   Net growth on 1000 = (32 - 11)= 
(32 - 11) = 21
21.   Net growth on 100= (21/1000 × 100)% = 2.1 %.   Answer 2.1%
Answer: C
In the Biotechnology class of 2000, there were C graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is C equal to?	Options.
A) 69.
B) 71.
C) 73.
D) 75.
E) 76.

Solution: Total = 32 +45 -13 + 9= 
32 +45 -13 + 9 = 73
73 .... My first post on the forum... I hope I am correct   73. is correct choice.
Answer: C
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choose the correct answer:
A) 2 2/3
B) 2 2/8
C) 2 2/0
D) 2 2/2
E) 2 2/1

Solution: Work done by all three of them in one day = 1/6 + 1/8 + 1/12 = 3/8.   The number of days required = 8/3 = 2 2/3 days.   2 2/3nswer:2 2/3
Answer: A
A can do a piece of work in 5 days and B can do it in 4 days how long will they both work together to complete the work?	Choose the correct choice from the following options:
A) 6/11 B) 8/9 C) 7/9 D) 2/9 E) 10/11

Solution: Explanation:   A’s one day work = 1/5   B’s one day work = 1/4   (A+B)’s one day work = 1/5 + 1/4 = 9/20 => time = 20/9 = 2 2/9 days   Answer: Option 2/9
Answer: D
If a 3-member subcommittee is to be formed from a certain 10-member committee, how many different such subcommittee are possible?	Choose the correct choice from the following options:  A) 6  B) 18  C) 20  D) 120  E) 216

Solution: 1st member can be selected in 10 ways   2nd can be selected in 9 ways   3rd can be selected in 8 ways   So total ways : 720   But to avoid the similar scenarios 720/3!=120   ANS:120
Answer: D
How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together vowels are never together?	Choose the correct answer
A) 4130 B) 2540 C) 2130 D) 4510 E) 4320

Solution: Given word contains 8 different letters   When the vowels AU4320 are always together we may suppose   them to form an entity ,treated as one letter   then the letter to be arranged are DAHTR(AU4320)   these 6 letters can be arranged in 6p6 = 6!   = 720 ways   The vowels in the group (AU4320) may be arranged in 3! = 6 ways   Required number of words = 760 * 6 =4320   Ans: 4320
Answer: E
On an article ,the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25%, If its retail price is 1265, what is the cost of its production?
Select the correct option:
A) 1000  B) 800  C) 1100  D) 900  E) 700

Solution: 110/100*115/100*125/100*C.P =1265,   11/10*23/20*5/4 C.P =1265   C.P = 800   ANSWER:800
Answer: B
The timing of a college is from 12 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture. Choose the correct answer:	A) 76 minutes	B) 66 minutes	C) 88 minutes	D) 48 minutes	E) 218 minutes

Solution: Explanation:   Total time a student spends in college = 4 hours 20 minutes = 260 minutes   As there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutes   Hence, the duration of each lecture is = (260 – 20)/5   = 48 minutes   ANSWER: 48 minutes
Answer: D
Choose the missing terms out of the given alternatives.
AZ, BY, CX, DW, EV, FU, GT?	Choose the correct choice from the following options:
A) HS B) GH C) ED D) DW E) KN

Solution: A   HS   The first letter moves one step forward. The second letter moves one step backward.
Answer: A
Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 4 years, Roy will be twice as old as Julia, then in 4 years what would be Roy’s age multiplied by Kelly’s age?
Choose the correct choice from the following.
A) 72  B) 84  C) 90  D) 96  E) 108

Solution: R = J+6 = K+3   R+4 = 2(J+4)   (J+6)+4 = 2J+8   J = 2   R = 8   K = 5   In 4 years (R+4)(K+4) = 12*9= 
12*9 = 108
108   The answer is 108.
Answer: E
Ahok will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?	Select the correct option:	A) 5	B) 6	C) 9	D) 24	E) 26

Solution: Ahok will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. person with max height is in the second row, person with min height is in the first row. We need to select 1 person in the middle of each row... In the middle of the first row we can put only 2, 3 or 4. In the middle of the second row we can put only 3, 4, 5. If we select {3 in the sec. row, 2 in the first}, {4,2}, {5,2}, {4,3}, {5,3}, {5,4}. So, there are   0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1= 
  0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1 = 5
5 cases...5
Answer: A
Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 225x is the cube of a positive integer?
Choose the correct choice from the following: A) 5 B) 15 C) 30 D) 60 E) 90

Solution: We want to know the smallest x that will make 225x a CUBE of some number. Let's call that number y.   Let's first figure out what we're working with. The prime factorization of 225 can be visualized:   ...........225   ......../.......\   ......25.......9   ...../..\....../...\   ...5....5...3.....3   So, we have 5 * 5 * 3 * 3 that can be multiplied together to get 225. Now we need to figure out what we need to make 225 * x into a cube of y (y^3=225*x).   We have two 5s and two 3s. To arrange these numbers in identical sets (3,5), we need at least one more 5 and one 3. Each of these numbers will give us the value of y (3*5=15), which, multiplied by itself three times, gives us 225 * x.   Looking at the factors we need to complete the triples, we get   5 * 3= 
  5 * 3 = 15
15. We know this is the smallest number possible because prime factors by definition cannot be broken down any further.   Therefore, we can go with answer choice B.   If time permits, we can do a sanity check. We calculated that y should be 3 * 5, or 15. 15 * 15 * 15= 3375. Also, 225 * 15 = 3375.   Answer: 15
Answer: B
If ay > 0 and yz < 0, which of the following must be negative:
Choose the correct option.
A) ayz  B) ay(z^2)  C) a(y^2)z  D) x(y^2)(z^2)  E) (x^2)(y^2)(z^2)

Solution: ay > 0 means that ay is positive.   yz < 0 means that yz is negative.   a(y^2)z = (ay)(yz) = positive*negative = negative. Thus option a(y^2)z is always negative.
Answer: C
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Choose the most appropriate option
A) 22% B) 25% C) 28% D) 29% E) 21%

Solution: SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%   Answer: 25%
Answer: B
How many numbers from 10 to 46 are exactly divisible by 3?
Choices:
A) 13
B) 12
C) 16
D) 17
E) 18

Solution: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45.   12 Numbers.   10/3 = 3 and 46/3 = 15 ==> 15 - 3= 
15 - 3 = 12
12. Therefore 12 digits   12)
Answer: B
How much time will an express train of length 200 m moving at a speed of 72 kmph take to cross another express train of length 300 m, moving at 36 kmph in the same direction?  Choose the correct answer:
A) sec
B) sec
C) sec
D) sec
E) sec

Solution: The distance to be covered = Sum of their lengths = 200 + 300= 
200 + 300 = 500
500 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 500/10= 
500/10 = 50
50 sec.   secnswer: sec
Answer: A
Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 17 boys and 43 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Choose the correct choice:
A) 5	B) 4	C) 6	D) 8	E) 10

Solution: Venn diagrams are useful for multiple values of a single variable e.g. State of mind - happy/sad/neither. When you have two or more variables such as here where you have gender - boy/girl too, it becomes unwieldy. In this case, either use the table or logic.   Table method is shown above; here is how you will use logic:   There are 6 happy boys.   There are 4 sad girls but total 10 sad children. So rest 6 sad children must be sad boys.   We have 6 happy boys and 6 sad boys. Total we have 17 boys. So  17 - 6 - 6= 
 17 - 6 - 6 = 5
5 boys must be neither happy nor sad.   5nswer (5)
Answer: A
In a weight-lifting competition, the total weight of Joe's two lifts was 900 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift? Select
A) 225  B) 275  C) 325  D) 350  E) 400

Solution: This problem is a general word translation. We first define variables and then set up equations.   We can define the following variables:   F = the weight of the first lift   S = the weight of the second lift   We are given that the total weight of Joe's two lifts was 900 pounds. We sum the two variables to obtain:   F + S = 900   We are also given that twice the weight of his first lift was 300 pounds more than the weight of his second lift. We express this as:   2F = 300 + S   2F – 300 = S   We can now plug in (2F – 300) for S into the first equation, so we have:   F + 2F – 300 = 900   3F = 1,200   F = 400   Answer is 400.
Answer: E
Find the invalid no.from the following series 3, 8, 15, 31, 63, 127, 255
Pick
A) 11	B) 8	C) 27	D) 63	E) 127

Solution: Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 8 is wrong.   8
Answer: B
7/10 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is Choose the correct choice from the following options:
A) 28% B) 41% C) 60% D) 72% E) 78%

Solution: Total population = 100 (assume).   7/10*100= 
7/10*100 = 70
70 people from Montague.   3/10*100= 
3/10*100 = 30
30 people from Capulet.   0.2*70= 
0.2*70 = 14
14 people from Montague support Juliet.   0.7*30= 
0.7*30 = 21
21people from Capulet support Juliet.   The probability that a Juliet supporter chosen at random resides in Capulet is 21/(14+21)=~60.   Answer: 60%
Answer: C
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 2000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election? Choose the correct option.
A) 20000	B) 25000	C) 24000	D) 23000	E) 22000

Solution: Winner - Looser   55% - 45%   If 2000 people change their mind and vote for the loser:   Winner - Looser   45% - 55%   Thus 2,000 people compose 10% of all voters, which means that the total number of votes is 20,000.   20000nswer: 20000.
Answer: A
John has Rs 360 for his expenses. If he exceeds his days by 4 days he must cut down daily expenses by Rs 3. The number of days of John 's tour program is
Choices: A) 10 B) 15 C) 20 D) 24 E) 27

Solution: Let John under takes a tour of x   days.   Then, expenses for each day = 360x   360x+4=360x−3   x=20   and −24   Hence, x   = 20 days.   20
Answer: C
A sock drawer contains eight socks, each one a different solid color. The colors of the socks are red, orange, white,yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks? Choose the correct choice from the following answers:
A) 12
B) 15
C) 21
D) 36
E) 28

Solution: Since here order of socks is not important then we'll have 8C2 i.e. 28 combinations.   Answer : 28
Answer: E
What will be the fraction of 75%
Choose the correct choice from the following answers: A) 3/4 B) 1/5 C) 1/10 D) 1/11 E) None of above

Solution: Explanation:   It will 75*1/100 = 3/4   Option 3/4
Answer: A
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?  Choose the correct choice from the following answers:	A) 3/10	B) 1/2	C) 2/5	D) 3/7	E) 1/6

Solution: Here, S = {1,2,3,......,19,20}   E= event getting a multiple of 3 = {3,6,9,12,15,18}   probability = 6/20 = 3/10   correct option is 3/10
Answer: A
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is : Choose the correct choice from the following: A) 1/4 B) 1/10 C) 7/15 D) 8/15 E) 2/13

Solution: A's 1 day's work =1/15;   B's 1 day's work =1/20;   (A + B)'s 1 day's work =(1/15)+(1/20)=7/60   (A + B)'s 4 day's work =(7/60)*4=7/15   Therefore, Remaining work =(1-(7/15))=8/15   Option 8/15
Answer: D
If y is the smallest positive integer such that 4410 multiplied by y is the square of an integer, then y must be Choose the correct choice from the following options:
A) 2 B) 5 C) 6 D) 7 E) 10

Solution: 4410 = 2*3^2*5= 
2*5 = 10
10.   The answer is 10.
Answer: E
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 150 m is? Choose one:
A) 150 m
B) 778 m
C) 200 m
D) 276 m
E) 971 m

Solution: 2(l + 150)   = 600 => l   = 150 m   150 mnswer:150 m
Answer: A
A 6% stock yields 8%. The market value of the stock is: Pick.
A) Rs. 48 B) Rs. 75 C) Rs. 96 D) Rs. 133.33 E) Rs. 122

Solution: Explanation:   For an income of Rs. 8, investment = Rs. 100.   For an income of Rs. 6, investment = Rs.100/8*6= Rs. 75.   Market value of Rs. 100 stock = Rs. 75.   ANSWER IS Rs. 75
Answer: B
Find the average of all numbers between 1 and 76 which are divisible by 5  Choose the correct choice: A) 40 B) 20 C) 25 D) 30 E) 35

Solution: Explanation:   40verage=(5+10+15+20+25+30+35+40+45+50+55+60+65+70+75)/15=600/15= 
600/15 = 40
40   40nswer: Option 40
Answer: A
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [5]*[8] equivalent to?	Select:
A) [40] B) [60] C) [80] D) [120] E) [150]

Solution: [5]*[8] = 15*4= 
15*4 = 60
60= (1/2)(120) = [120]   The answer is [120].
Answer: D
If a > 1, which of the following is equal to (2a - 2)/(a^2 + 2a - 3)?  Choices:  A) a  B) a + 3  C) 2/(a - 1)  D) 2/(a + 3)  E) (a - 1)/2

Solution: Here's the algebraic approach:   (2A - 2)/(A^2 + 2A - 3) can be rewritten as...   2(A - 1)/(A+3)(A-1)   We can simplify the fraction, which leaves us with...   2/(A+3)   Ans : 2/(a + 3)
Answer: D
Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?  Choose the correct choice from the following options
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: x : the total number of toys   x/10 : the number of toys for first child   x/10 + 12 : the number of toys for second child   x/10 + 1 : the number of toys for the third child   2(x/10 + 1) : the number of toys for the fourth child   x/10 + x/10 + 12 + x/10 + 1 + 2(x/10 + 1) = x   x = 30 toys : solve for x
Answer: C
Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction? Select:	A) 15 hours	B) 16 hours	C) 17 hours	D) 18 hours	E) 19 hours

Solution: Explanation:   In this type of questions we need to get the relative speed between them,   The relative speed of the boys = 5.5kmph – 5kmph   = 0.5 kmph   Distance between them is 8.5 km   Time = Distance/Speed   Time= 8.5km / 0.5 kmph = 17 hrs   Option 17 hours
Answer: C
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 24 kmph, find the speed of the stream?  Choose the correct choice from the following choices.
A) 18 kmph  B) 6 kmph  C) 8 kmph  D) 10 kmph  E) 12 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 24/3= 
24/3 = 8
8 kmph.   Answer: 8 kmph
Answer: C
What range of values of 'x' will satisfy the inequality 15x - 2/x > 1?
Choose the correct choice from the following choices:
A) x > 0.4	B) x < 1/3	C) -1/3 < x < 0.4, x > 15/2	D) -1/3 < x < 0, x > 2/5	E) x < --1/3 or x > 2/5

Solution: This will hold true for the following values of 'x': -1313 < x < 2/5 and x < 0.   Combining, we get -1/3 < x < 0.   Therefore, the range of values of x for which the above inequality will hold true is:   -1/3 < x < 0 âˆª x > 2/5.   ANSWERT : -1/3 < x < 0, x > 2/5
Answer: D
A train of length 330 meters crosses a platform of length 550 meters in 44 seconds. What is the speed of the train? Choose the correct choice from the following choices
A) 11	B) 76	C) 5	D) 4	E) 3

Solution: Answer:3
Answer: E