MU-NLPC/Calc-aqua_rat huggingface dataset:
At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
Select:
A) 5 1/11 ° B) 12 4/11 ° C) 13 4/11° D) 16 4/11° E) None

Solution: Solution   At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.   To be coincident, it must gain 15 min. spaces.55 min. are gained in 60 min.   15 min. are gained in   = (60/55 x 15)min   =16x4/11   The hands are coincident at 16x4/11 min past3.   Answer 16 4/11°
Answer: D
If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 80 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Answers:
A) 100
B) 120
C) 140
D) 150
E) 160

Solution: Case 1:   let rate = R, Time = T, and Distance =D   so D=RT   Case 2:   (D+80)=(R+5)(T+1)   Case 3:   (D+X)=(R+10)(T+2)   X=160   Ans 160
Answer: E
The diagonal of a cube is cm. Find its surface area	Answers:
A) 216 sq.cm
B) 316 sq.cm
C) 416 sq.cm
D) 516 sq.cm
E) None of these

Solution: Explanation:   Let the edge of the cube be a.   so, the diagonal √3 a = 6√3   => a=6   Surface area = 6a2 = 6 x 6 x 6 = 216 cm2   216 sq.cmnswer: 216 sq.cm
Answer: A
The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be maths teachers?	Pick one:	A) 2/3	B) 1/3	C) 2/9	D) 1/24	E) 1/12

Solution: Probability of first member an 1/12nglish teacher = 3/9   Probability of second member an 1/12nglish teacher = 2/8   Probability of both being english teacher = 3/9 x 2/8 =1/12 (1/12)
Answer: E
Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 40 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered? Choose the correct option
A) 36 B) 72 C) 132 D) 144 E) 180

Solution: 1st part: - In 1hr, Bus A covers 30 miles.   Relative speed of bus ABus B is   (80-30)= 
  (80-30) = 50
50mph.   So time required for 72us 72 to cover the exact distance as A is   50*t= 30   t=3/5 = 36min   2nd part   80*t=2d - 72 has to cover twice the distance   30*(t+1) = d - A traveled 1hr more and has to travel only only d   so   d/30 - 2d/80 = 1   D=120   T= 3hrs = 180 min   Question asks for +ve difference between part 1 and part 2 in minutes   = 180-36 = 72min   72
Answer: B
A family pays $700 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?	Choose the correct choice from the following options:
A) $1,100 B) $1,300 C) $1,400 D) $1,800 E) $2,200

Solution: Assuming the medical expenses are $1000 or more, the family pays $700 + $300 = $1000.   The total amount paid by insurance plan for the first $1000 of expenses is $700.   The insurance will pay another $300 when the medical expenses are $1300.   The answer is $1,300.700 +  300= 
700 +  300 = 1_000
$1000.   The total amount paid by insurance plan for the first $1000 of expenses is $700.   The insurance will pay another $300 when the medical expenses are $1300.   The answer is $1,300.
Answer: B
Betty took out a charge account at the General Store and agreed to pay 4% simple annual interest. If she charges $50 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments? Options.
A) $51.50	B) $52.00	C) $52.50	D) $53.00	E) $53.50

Solution: 1.04*$50=$52.00   The answer is $52.00.1.04* 50= 
1.04* 50 = 52
$52.00   The answer is $52.00.
Answer: B
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?	Pick one:
A) 5
B) 6
C) 4
D) 9
E) 8

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [110 * 3/55= 
110 * 3/55 = 6
6 sec   Answer: Option 6
Answer: B
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 4 m, the volume of the box (in m3) is:  Choose the correct choice from the following answers.
A) 4480	B) 5120	C) 6420	D) 8960	E) 7960

Solution: Clearly, l = (48 - 8)= 
(48 - 8) = 40
40 m,   b= (36 -8)= 
(36 -8) = 28
28 m,   h= 8 m.   Volume of the box = (40 x 28 x 4) m3 = 4480 m3. 4480nswer: Option 4480
Answer: A
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choose the correct choice:
A) 108 kmp  B) 188 kmp  C) 299 kmp  D) 278 kmp  E) 288 kmp

Solution: S = 180/6 * 18/5= 
180/6 * 18/5 = 108
108 kmp   Answer: 188 kmp
Answer: B
If you are given $5, and the amount doubles every day, how much money will you have after 4 days? Choose the correct choice from the following options
A) $256  B) $512  C) $1024  D) $625  E) $720

Solution: 5^4=625   The answer is $625
Answer: D
The difference b/w the compound interest payble half yearly and the simple interest on a certain sum lent out at 10% p.a for 1 year is Rs 25. What is the sum? Choose the correct option.
A) Rs. 15000 B) Rs. 12000 C) Rs. 10000 D) Rs. 20000 E) none of these

Solution: in simple words S.I= PTR/100=(P*1*10)/100 P/10   HERE AMOUNT A= p+ S.I= P+ P/10=11P/10....   NOW FOR COMPOUND INTEREST WHEN CALCULATED HALF YEARLY AMOUNT=P[1+R/200]^2T=P[1+10/200]^2*1=441P/400   here its given in the question dat diff btwn simple interest and compound interest half yearly ... is 25   => 441p/400-11p/10= 25 =>p/400=25 =>p= 400*25= 
400*25 = 10_000
10000 so sum= 10000   ANSWER:Rs. 10000
Answer: C
How many different subsets of the set {0, 1, 2, 3, 4} do not contain 0?
Choose the correct choice from the following choices:
A) A.16
B) B.27
C) C.31
D) D.32
E) E.64

Solution: Number of subset   Since we have 4 digits other than 0, we can take any numbers from the set of 4 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.   4c1+4c2+4c3+4c4=15   And one set is the NULL set having no elements in it so    15+1= 
 15+1 = 16
16.   A.16NSWER A.16.
Answer: A
What number should replace the question mark?
105, 87, 70, ?, 35 Choose the correct choice from the following options.
A) 52	B) 37	C) 70	D) 55	E) 83

Solution: 52   52   The sequence progresses -18, -17, -18, -17.
Answer: A
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 10 o'clock in the morning? Pick:  A) 30  B) 60  C) 90  D) 120  E) 150

Solution: The hour hand will move 2/12 of a circle.   (2/12)*360= 
(2/12)*360 = 60
60 degrees.   The answer is 60.
Answer: B
One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a? Choose the most appropriate option
A) 21  B) 25  C) 27  D) 29  E) 31

Solution: Let the roots of the quadratic equation be x and 3x.   Sum of roots = -(-12)= 
-(-12) = 12
12   a + 3a= 4a = 12 => a = 3   Product of the roots = 3a2 = 3(3)2 = 27.   27)
Answer: C
If 12/x is an integer and 3/x is an integer, which of the following must be true? I. 6/x is an integer II. 18/x is an integer III. 3/x is an integer  Pick one: A) II only B) II, III only C) III only D) I,III only E) II only

Solution: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 3, GCD of 12 and 3, and if x=3 then ONLY III is true.   Answer: III only
Answer: C
You have a six-sided cube and six cans of paint, each a different color. You may not mix colors of paint. How many distinct ways can you paint the cube using a different color for each side? (If you can reorient a cube to look like another cube, then the two cubes are not distinct.)
Choices: A) 24 B) 30 C) 48 D) 60 E) 120

Solution: Paint one of the faces red and make it the top face.   5 options for the bottom face.   Now, four side faces can be painted in   (4-1)= 
  (4-1) = 3
3!= 6 ways (circular arrangements of 4 colors).   Total = 5*6= 
5*6 = 30
30.   Answer: 30.
Answer: B
6 dogs and 8 cats do a work in 12 days, while 5 dogs and 8 cats finish it in 16days, 4dogs and 8 cats will finish it in.  Choose the correct choice from the following:
A) 14 days B) 20 days C) 24 days D) 12 days E) 28 days

Solution: Explanation:   (6dogs+8cats) 1 day work = 1/12   (5dogs+8cats) 1 day work = 1/16   substract 1 and 2   i.e 1/12 – 1/16= 1/48   i.e 1 dog 1 day work is 1/48   4dogs + 8cats 1day work is 1/16 – 1/48 = 1/24   thus 4 dogs and 8 cats will finish it in 24 days   Answer: Option 24 days
Answer: C
If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - w - x ?  Choose the correct option
A) -4  B) -2  C) -1  D) 0  E) -5

Solution: Since W, X and Y are CONSECUTIVE ODD POSITIVE INTEGERS and W < X < Y, we can start with the easiest set of values that comes to mind:   W = 7   X = 9   Y = 11   Here, Y - W - X is....   11 - 7 - 9 = -5   -5 IS among the answer choices, so we're done.   -5
Answer: E
list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,700, $43,000, $30,000, $27,000, $32,700	Options:
A) $28,000	B) $32,200	C) $30,200	D) $30,800	E) $31,500

Solution: Ordering the data from least to greatest, we get:   $27,000, $29,000, $30,000, $31,700, $32,700, $35,500, $40,000, $43,000   Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers.   $31,700 + $32,700 = $64,400   The median salary is $32,200.   Answer : $32,200
Answer: B
The distance traveled by train in one year approximately 50,000,000 miles.The distance traveled by Train in 25 years?
Choose the correct choice from the following answers
A) 10<9>
B) 10<8>
C) 10<11>
D) 10<17>
E) 10<7>

Solution: The distance traveled by train in one year = 50,000,000 miles   The distance traveled by Train in 25 years = 50,000,000 miles*25 years =1,250,000,000   = 125*10<7> Answer = 10<7>
Answer: E
Rahul's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?	Options
A) 0.8  B) 0.75  C) c) 8/9  D) 5/7  E) 6/8

Solution: The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!   However, what if the correct ratio was option D or C?   In any case, the algebraic solution isn't that complex if you realize a key concept:   The number 7 can be factored out of the second equation!   Here's the working:Rahul's shop runs a sale on goldfish and platys.   13x + 12y = 5.60 <<<<< Equation 1   14x + 21y = 8.05 <<<<< Equation 2   2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3   8x + 12y = 4.6 [Multiply Equation 3 with 4]   5x = 1.0 [Equation 1 - Equation 2]   x = 0.2   3y = 1.15 - 0.4= 
1.15 - 0.4 = 0.75
0.75 [Substitute for x in Equation 1]   y= 0.25   x/y = 0.2/0.25 = 20/25 = 4/5= 
4/5 = 4/5 = around 0.8
0.8 [Answer A]   The whole thing must have taken me about 45 s :5/7
Answer: D
A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?
Pick:	A) 15 years	B) 11 years	C) 12 years	D) 18 years	E) 19 years

Solution: 100 ---- 200 ---- 6   400 ---- 6   800 ---- 6   ------   18 years   Answer: 18 years
Answer: D
lets say that the average (arithmetic mean) of seven numbers is 12.2
If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?	Pick:
A) (a) 12.4
B) (b) 14.2
C) (c) 16.8
D) (d) 18.6
E) (e) 19.2

Solution: We're told that the average of 7 numbers is 12.2   (Sum of numbers)/7 = 12.2   Sum of numbers = (12.2)(7) = 85.4   Next, we're told that the sum of 4 (of the 7) numbers is 42.8   From this information, we can calculate the sum of the OTHER 3 numbers:   85.4 - 42.8= 
85.4 - 42.8 = 42.6
42.6   The question asks for the AVERAGE of the OTHER 3 numbers....   42.6/3= 
42.6/3 = 14.2
14.2   (b) 14.2
Answer: B
There are 680 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?  Choose the correct answer:
A) 425	B) 345	C) 375	D) 380	E) 400

Solution: In order to obtain a ratio of boys to girls equal to 3:5, the number of boys has to be written as 3 x and the number of girls as 5 x where x is a common factor to the number of girls and the number of boys. The total number of boys and girls is 680. Hence   3x + 5x = 680   Solve for x   8x = 680   x = 85   Number of boys   3x = 3 × 85 = 255   Number of girls   5x = 5 × 85 = 425   425
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choose the correct choice from the following
A) fraction of 1/455  B) 1/451  C) 1/457  D) 1/459  E) 1/452

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that all the three marbles picked at random are blue = 3C3/15C3   = (1 * 3 * 2 * 1)/(15 * 14 * 13)   = 1/455   fraction of 1/455nswer: fraction of 1/455
Answer: A
If each side of a square is increased by 25%, find the percentage change in its area?
Choose the correct choice:
A) 52.25%  B) 42.55%  C) 56.25%  D) 36.55%  E) 26.55%

Solution: let each side of the square be a , then area = a x a   New side = 125a / 100 = 5a / 4   New area =(5a x 5a) / (4 x 4) = (25a²/16)   increased area== (25a²/16) - a²   Increase %= [(9a²/16 ) x (1/a² ) x 100]% = 56.25%   ANSWER : 56.25%
Answer: C
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 27, what is the total amount?
Answers
A) 115 B) 116 C) 117 D) 118 E) 119

Solution: x:y:z = 100:45:50   20:9:10   9 --- 27   39 --- ? => 117   ANSWER:117
Answer: C
Two trains of length 100 meters and 200 meters are 660 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 108 km/h. After how many seconds will the trains meet?  Choose the correct choice from the following
A) 12  B) 14  C) 16  D) 18  E) 20

Solution: The speeds are 90000/3600= 
90000/3600 = 25
25 m/s and 108000/3600= 
108000/3600 = 30
30 m/s   The relative speed is 55 m/s.   time= 660 / 55= 
660 / 55 = 12
12 seconds   The answer is 12.
Answer: A
In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is: Select the correct option
A) 20 litres B) 30 litres C) 40 litres D) 60 litres E) none

Solution: Quantity of milk = (60 * 2/3)= 
(60 * 2/3) = 40
40 litres.   Quantity of water in it= (60- 40)= 
(60- 40) = 20
20 litres.   New ratio= 1 : 2   Let quantity of water to be added further be x litres.   Then, milk : water = (40 / (20+x))   Now, (40 / (20+x)) = 1/2   20 + x = 80   x = 60.   Quantity of water to be added = 60 litres.   Answer = 60 litres
Answer: D
How many integers between 324,805 and 458,705 have tens digit 2 and units digit 3?  Choose the correct choice from the following answers.
A) 1,352	B) 1,359	C) 1,329	D) 1,349	E) 1,348

Solution: There is one number in hundred with 2 in the tens digit and 3 in the units digit: 23, 123, 223, 323, ...   The difference between 324,700 and 458,600 is 458,600-324,700=134,900 - one number per each hundred gives 133,900/100=1,349 numbers.   Answer: 1,349.
Answer: D
A certain list consists of 21 different numbers. If n is in the list and n is 3 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list? Select the correct option:
A) 1/20
B) 1/6
C) 1/5
D) 4/21
E) 3/23

Solution: series : a1, a2....a20,n   sum of a1+a2+...+a20 = 20*x (x = average)   so, n = 3*x   Hence, a1+a2+..+a20+n = 23x   So, the fraction asked = 3x/23x =3/23   Answer 3/23
Answer: E
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Choose the correct choice from the following answers:
A) 7.16	B) 7.16	C) 7.12	D) 7.15	E) 7.11

Solution: T = (121 + 165)/ (80 + 65) * 18/5   T = 7.15   Answer: 7.15
Answer: D
The H.C.F. of two numbers is 15 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Answers:
A) 225 B) 300 C) 299 D) 322 E) 345

Solution: the numbers are (15 x 11) and (15 x 15).   Larger number = (15 x 15) = 225.   225NSWER :225
Answer: A
Computer completes the first iteration in 10 seconds and then the following iterations are completed in 7 seconds as constants are already loaded. What is the maximum number of completed iterations under 5 minutes?  Pick
A) 41
B) 42
C) 43
D) 44
E) 45

Solution: b must be an integer as it is the number of completed iterations at a rate of 7sec/iteration   10 + 7b =5*60   7b = 290   b= 41   The total number of iterations --> 41+1 = 42 and   43rd iteration will be completed at 304seconds which is above 5 minutes   ANSWER: 42 --  41+1= 
 --  41+1 = 42
42 and   43rd iteration will be completed at 304seconds which is above 5 minutes   ANSWER: 42
Answer: B
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8110/-. Find out the amount that he borrowed.  Pick one.
A) Rs. 5266	B) Rs. 5269	C) Rs. 5228	D) Rs. 5218	E) Rs. 52192

Solution: Explanation:   Let us assume Mr. Karan borrowed amount is Rs. A. (the principal)   By formula of simple interest, S.I. = PRT / 100   Where P = The principal, R = Rate of interest as a %, T = Time in years   S.I. = (P * 6 * 9)/100 = 54 P/100   Amount = Principal + S.I.   8110 = P + (54P/100)   8110 = (100P + 54P)/100   8110 = 154P/100   P = (8110 * 100)/154 = Rs. 5266.233   Rs. 5266NSWER: Rs. 5266
Answer: A
In a class of 54 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Choose the most appropriate option
A) 30
B) 10
C) 18
D) 28
E) 32

Solution: Total=English+German-Both+Neither --> 54=English+22-12+0 --> English=44 --> Only English=English-Both=44-12= 
44-12 = 32
32.   Answer: 32.
Answer: E
A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 2 KMPH, Find the speed of the boat in still water  Choose the most appropriate option:
A) 5
B) 10
C) 15
D) 20
E) 25

Solution: Simple question, messy language.   Lets say boat's speed is B and current's speed is C.   Upstream speed : B - C   Downstream speed : B + C   Distance will be the same both times. lets say D.   given : time it takes upstream = 1.5 times time it takes downstream   D/(10 + C) = 1.5 * [D/(10 - C)]   Solving 10 = 5 C   given : C is 2 KMPH   So 10 is 10 KMPH   10
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 3/4rd of that price, there would be a loss of 20%?	Choose one: A) 20% B) 29% C) 7% D) 27% E) 28%

Solution: SP2 = 3/4 SP1   7%P = 100   SP2 = 80   3/4 SP1 = 80   SP1 = 107   100 --- 107 => 7%   Answer: 7%
Answer: C
Mary passed a certain gas station on a highway while traveling west at a constant speed of 40 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 50 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary?	Choose the correct choice.
A) 1/2 B) 1 C) 3/4 D) 2 E) 3

Solution: d = rt   M: r = 40mph, t = t + 1/4hr   d = 40 (t + 1/4)   P: r = 50, t = t   d = 50t   since they went the same distance:   40t + 40/4 = 50t   10t   40  + 40/4= 
  40  + 40/4 = 50
50t   10t= 10   t = 1 hr,   1
Answer: B
A courtyard is 18 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?  Select the correct option:
A) 22877
B) 27778
C) 20000
D) 27999
E) 14400

Solution: Number of bricks =Courtyard area/1 brick area   =(1800×1600/20×10)=14400   Answer: 14400
Answer: E
1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member Select the correct option:  A) A.10%  B) B.20%  C) C.25%  D) D.46%  E) E.50%

Solution: A,B, C is too low so I eliminated those answers, E was too high of a number, so I chose D.46% as my final answer.D.46%
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Options
A) 187 m B) 278 m C) 876 m D) 150 m E) 100 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 6)= 
(50/3 * 6) = 100
100 m.   Answer: 100 m
Answer: E
What is the greatest integer that will always evenly divide the sum of seven consecutive integers?  Choose the correct option:
A) 2  B) 3  C) 4  D) 7  E) 12

Solution: Let the three consecutive even integers be x , x + 7 , x+14 , x+21 , x+28 , x+35, x+42   Sum = x + x + 7 + x + 14 + x + 21 + x + 28 + x + 35 + x + 42   = 7x+147 = 7(x+21)   Therefore , 7 will always be a factor .   Answer 7
Answer: D
If the sides of a cube are in the ratio 7:3. What is the ratio of their diagonals?
Select:
A) 9:4
B) 8:4
C) 7:4
D) 7:3
E) 6:4

Solution: Explanation:   7:3iagonal of a Cube=a√3 where a is side   a1:a2 = 7:3   d1:d2 = 7:3 where√3 cancelled both side   ANSWER:7:3
Answer: D
If the LCM and HCF of 12 and another number is 60 and 3 respectively. Find the other number ?	Choose the correct choice from the following answers.
A) 17	B) 12	C) 15	D) 13	E) 11

Solution: H15F x L15M = Product of Numbers   3 x 60 = 12 x the other number   other number = (3 x 60) / 12   other number = 15   ANSWER : 15
Answer: C
A train running at the speed of 180 km/hr crosses a pole in 36 seconds. What is the length of the train?
Choose the correct option.
A) 450 m  B) 500 m  C) 550 m  D) 600 m  E) 650 m

Solution: Speed=(180 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 36)= 
(50/3 * 36) = 600
600 m.   Answer:600 m
Answer: D
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
Choose the correct choice from the following answers:  A) 25  B) 76  C) 29  D) 12  E) 20

Solution: Explanation:   Let the cost of each ice-cream cup be Rs.x   16(6) + 5(45) + 7(70) + 6(x) = 961   96 + 225 + 490 + 6x = 961   6x = 150 => x = 25.   25nswer:25
Answer: A