MU-NLPC/Calc-aqua_rat huggingface dataset:
A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
Choose the correct choice from the following options.
A) 239	B) 247	C) 277	D) 270	E) 898

Solution: Explanation:   Total distance traveled = 1800 km.   Distance traveled by plane = 600 km.   Distance traveled by bus = x   Distance traveled by train = 3x/5   => x + 3x/5 + 600 = 1800   => 8x/5 = 1200 => x = 750 km.   Answer: 270
Answer: D
Shan starts from Barabanki to Fatehpur, 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shan is at least 20km/hour fasterthan the speed of Kajol. What is the min speed of Shan to overtake Ajay, before he meets Kajol? Choose the correct choice from the following options:  A) 30  B) 40  C) 50  D) 60  E) None of these

Solution: Let t be the time after Kajol starts, when she meets Ajay, then   \inline t=\frac{300}{(x+y)}   This should be less than 2.5 or (x+y)>120   Since y= \inline \frac{3x}{2} \inline \Rightarrow y>72   This (y>72) is greater than 67.5 km/h and hence Shahrukh will always overtake Ajay before he meets Kajol.   None of these)
Answer: E
A reduction of 12% in the price of oil enables a house wife to obtain 6kgs more for Rs.1200, what is the reduced price for kg? Select the correct option.
A) 24	B) 27	C) 40	D) 28	E) 20

Solution: 1200*(12/100)= 
1200*(12/100) = 144
144 ---- 6   ? ---- 1=> Rs.24   24nswer:24
Answer: A
Laura took out a charge account at the General Store and agreed to pay 6% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?  Choose the correct choice
A) $2.10 B) $37.10 C) $37.16 D) $38.10 E) $38.80

Solution: Principal that is amount taken by Laura at year beginning = 35$   Rate of interest = 6%   Interest = (6/100)*35= 
(6/100)*35 = 21/10 = around 2.1
2.10$   Total amount that Laura owes a year later= 35+2.1= 
35+2.1 = 37.1
37.1 $   Answer $37.10
Answer: B
If a person walks at 12 km/hr instead of 8 km/hr, he would have walked 20 km more. The actual distance traveled by him is? Pick:
A) 50  B) 40  C) 45  D) 60  E) 25

Solution: Let the actual distance traveled be x km. Then,   x/8 = (x + 20)/12   x - 40 =>x = 40 km.   Answer: 40
Answer: B
364, 361, 19, 16, 4, 1, ?  Choose the correct option.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: 364-3= 
364-3 = 361
361   sqrt(361)=19   19-3= 
19-3 = 16
16   sqrt(16)=4   4-3= 
4-3 = 1
1   sqrt(1)=1   ANSWER:1
Answer: B
What is the ratio between perimeters of two squares one having 2.5 times the diagonal then the other?	Pick:	A) 4: 5	B) 1: 3	C) 2.5: 1	D) 3.5: 1	E) 3: 2

Solution: d = 2.5d d = d   a√2 = 2.5d a√2 = d   a = 2.5d/√2 a = d/√2 =>2.5: 1   Answer: 2.5: 1
Answer: C
In 1 hour, a boat goes 8 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is :	Pick.
A) 3 km/hr. B) 2 km/hr. C) 10 km/hr. D) 8 km/hr. E) 5 km/hr.

Solution: Speed in still water = 1/2(8 + 12) km/hr   = 10 km/hr. ANSWER :10 km/hr.
Answer: C
A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed? Choices
A) 32
B) 88
C) 67
D) 11
E) 66

Solution: One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 4 days = 4*(1/24 + 1/30) = 3/10   Remaining work = 7/10   The number of days required for this initial work = 7 days.   The total number of days required = 4 + 7= 
4 + 7 = 11
11 days.   Answer:11
Answer: D
Jonathan’s grandparents lend $100,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive? Choose the correct choice from the following options
A) 100,000∗0.1^5 B) 100,000∗0.5 C) (100,000∗0.1)^5 D) 100,000∗1.1^5 E) 100,000∗1.5

Solution: if you are like me and have used S.I = P x R x T formula in school, while the question is asking for Amount in 5 years. so (100,000∗1.5) 10,000∗ 1.5   Ans : 100,000∗1.5
Answer: E
The number 69 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?  Pick one
A) 2
B) 5
C) 7
D) 8
E) 9

Solution: Notice that the question asks which of the followingcouldbe the difference between the largest and smallest integers, not must be. The 3 integers could be: +/-2, +/-4 and +/-7 so the difference could be 5,3 or 11. Since only one of them is among the choices, then it must be the correct answer.   Answer: 5
Answer: B
If four students are made to sit in a row, then 3 don't have seats. If 15 students are made to sit in a row, then two rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated? Choose the correct choice from the following answers:
A) 0	B) 1	C) 4	D) 5	E) 9

Solution: Let there be a rows.   Then 4a + 3= 15(a-2) [equating the number of students]   => a= 3   and total number of students = 15   Therefore 5 students much sit in each row such that each row has an equal number of students and all students are seated.   Option (5)
Answer: D
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Options.
A) 200 B) 230 C) 240 D) 250 E) 260

Solution: Option '230'   7p3 = 7 × 6 × 5 = 210
Answer: B
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:	Pick one:  A) 10  B) 12  C) 14  D) 16  E) 18

Solution: Explanation:   A,B,C together fill the tank in 6 hours.   => Part filled by pipes A,B,C together in 1 hr =1/6   All these pipes are open for only 2 hours and then C is closed.   Remaining part =1−1/3=2/3   This remaining part of 2/3 is filled by pipes A and B in 7 hours   Therefore, part filled by pipes A and B in 1 hr   =(2/3)/7=2/21   Part filled by pipe C in 1 hr   =(1/6-2/21)=7-4/42 =3/42 =1/14   i.e., C alone can fill the tank in 14 hours.   Answer: Option 14
Answer: C
If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 2, what is the ratio of apples to cucumbers?  Select the correct option.
A) 6:5  B) 1:4  C) 4:3  D) 2:3  E) 5:4

Solution: The ratio of bananas to cucumbers is 1 to 2 which equals 2 to 4.   The ratio of apples to bananas to cucumbers is 5 to 2 to 4.   The ratio of apples to cucumbers is 5 to 4.   The answer is 5:4.
Answer: E
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is? Choose one.
A) 33.3
B) 33.6
C) 33.0
D) 33.4
E) 33.1

Solution: Let B = 100   A = 50   33.0 * (150/100) = 50   333.0 = 100   33.0 = 33.3 then '33.0' 33.0heapest   Answer:33.0
Answer: C
As x increases from 161 to 162, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x Select the correct option:
A) I only  B) II,III only  C) III only  D) II only  E) I,II only

Solution: On Increasing the value of x from 161 to 162   I) x−1/x will increase as 1/x will be very small and x will increase by 1 unit   II) 17−1/x Will Increase as the value of 1/x will decrease thereby increasing the value of 17-(1/x)   III) (17+x)/x = (17/x)+1 will Decrease as 1/x will decrease thereby decreasing the value of (17/x)   Answer: I,II only
Answer: E
In how many ways can live men and three women sit in a row such that all men sit together?
Choose one.
A) 1230
B) 1340
C) 1400
D) 1500
E) 2880

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.   Required number of arrangements   4! * 5! = 24 * 120= 
24 * 120 = 2_880
2880   2880
Answer: E
A class of students consists of 6 senior and 2 junior students. If a class council is created with 3 senior and 1 junior student, in how many ways can the class council be formed?
Choose the correct choice from the following answers
A) 12  B) 20  C) 40  D) 57  E) 432

Solution: 40hoose 3 senior from 5 senior and choose 1 junior from 3 junior:   3406 * 1402 = 20*2= 
20*2 = 40
40   Ans: 40
Answer: C
The 100-milliliter solution of sugar and water is 15% sugar. How much water (in milliliters) must be added to make a solution that is 8% sugar?	Select the correct option.
A) 72.5	B) 77.5	C) 82.5	D) 87.5	E) 92.5

Solution: In the original solution the amount of sugar is 0.15*100= 
0.15*100 = 15
15 ml.   Let the volume of the new solution be V.   0.08V=15 ml.   V=187.5 ml.   The amount of water we need to add is   187.5 - 100= 
  187.5 - 100 = 87.5
87.5 ml.   The answer is 87.5.
Answer: D
An office supply store stocks three sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 4 notebooks of the same size and the same color or 4 notebooks of the same size and of 4 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Choose the correct choice from the following options:	A) 18	B) 24	C) 30	D) 45	E) 60

Solution: First let's consider the small notebooks.   There are 5 ways to choose notebooks of the same color.   The number of ways to choose four notebooks with different colors is 5C4=5.   There are 10 different packages we can make with the small notebooks.   We can use the same process to find 10 different packages with medium and large notebooks.   The total number of different packages is 30.   The answer is 30.
Answer: C
If p/q = 2/7 , then 2p+q= ?
Pick one
A) 11
B) 14
C) 13
D) 15
E) 16

Solution: let p=2, q=7 then 2*2+7= 
2*2+7 = 11
11   so 2p+q=11.   11NSWER:11
Answer: A
A company produces computers with 7 different speeds, and the ratio of each speed to the next one is a fixed ratio. If the fastest computer is 5.4 GHz, while slowest speed is 0.2 GHz, what is the speed of the second slowest computer? Choose the correct choice from the following:
A) (3^1/2) (0.2)
B) (27^1/7) (0.2)
C) (5.2/7) + 0.2
D) (0.2)^2
E) 0.8

Solution: 1st speed=0.2   Let x be ratio,then 1st/2nd=x   0.2/2nd =x------>2nd=0.2/x------(a)   .   .   .   7th=0.2/x^6=5.4   x^6=0.2/5.4=1/27----->1/3^3   x=1 / 3^(3*1/6)------->1/3^1/2   therefore 2nd speed(from (a)) =0.2/(1/3^1/2)-------->3^1/2*0.2   (3^1/2) (0.2)ns (3^1/2) (0.2)
Answer: A
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?	Pick.
A) Rs.3240  B) Rs.3600  C) Rs.3800  D) Rs.4200  E) Rs.4250

Solution: 15:25 => 3:5   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*3/8= 
8640*3/8 = 3_240
3240 + 960= 
3240 + 960 = 4_200
4200   ANSWER:Rs.4200
Answer: D
The product of two numbers is 266 and their difference is 5. What is the bigger number ?  Select the correct option:
A) 13
B) 15
C) 19
D) 24
E) None of these

Solution: Explanation:   Let the two numbers be A and B, here A > B   AB = 266   B = 266/A -----------------(I)   Given,   A – B = 5 ----------- (II)   Substitute from (I) in (II), we get   A – 266/A = 5   A2 – 5A + 266 = 0   (A – 19)(A – 14) = 0   Therefore , A = 19 or A = 14   Hence, bigger number = A = 19   ANSWER: 19
Answer: C
The probability of rain showers in Barcelona on any given day is 0.3. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choose the correct choice from the following:	A) 0.441	B) 0.072	C) 0.432	D) 0.72	E) 0.288

Solution: IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!   Hence,   0.3*0.7*0.7 + 0.7*0.3*0.7 + 0.7*0.7*0.3= 
0.3*0.7*0.7 + 0.7*0.3*0.7 + 0.7*0.7*0.3 = 0.441
0.441   Option - 0.441
Answer: A
How many odd, positive divisors does 640 have? Choose the correct option.
A) 6	B) 8	C) 12	D) 15	E) 24

Solution: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=12 factors.   Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.   Answer: 12.
Answer: C
A certain animal shelter has 28 cats and 46 dogs. How many dogs must be adopted and taken away from the animal shelter so that 70 percent of the animals in the shelter will be cats? Pick one:
A) 6
B) 12
C) 28
D) 34
E) 40

Solution: (28 + 46 - x)*0.7 = 28   x = 34.   Answer: 34.
Answer: D
Three grades of milk are 1 percent, 2 percent and 5 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 3 percent grade, what is x in terms of y and z?  Pick one:  A) y + 3z  B) (y +z) / 4  C) 2y + 3z  D) z - 0.5 y  E) 3y + 4.5z

Solution: Based on the given information, the following equation could be dervied: 1% * x + 2% * y + 5% * z = 3% * (x+y+z) Then use algebra to figure out 2%*x = -1%*y + 2%*z. Thus, x = z - 0.5 y   z - 0.5 y
Answer: D
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Pick one:  A) 56  B) 28  C) 45  D) 24  E) 45

Solution: D   24   Let the required number of days be x.   Less men, More days (Indirect Proportion)   27 : 36 :: 18 : x <-> 27 x x = 36 x 18   x = (36 x 18)/27   x = 24
Answer: D
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 50 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?	Choose the correct choice from the following choices.
A) 40 B) 80 C) 50 D) 60 E) 50

Solution: 200 men do the rest of the work in   100-50= 
  100-50 = 50
50days   100 men can do the rest of the work in 50*200/100= 
50*200/100 = 100
100days   Required number of days= 100-50= 
100-50 = 50
50 days   Answer is 50
Answer: C
The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part. Choose the correct option
A) 108 B) 276 C) 297 D) 266 E) 911

Solution: Explanation:   It is given that 243 has been divided into 3 numbers x y and z for instance.   Second condition mentioned in the question is:   => x/3 = y/4 =z/2   Clearly the biggest number is y. So let us solve w.r.t. y.   => x = 3y/4   => x =3z/2   => z = y/2   => x+y+z = 243   => y/2 + 3y/4 + y = 243   9y/4 = 243   => 243*4/9= 
243*4/9 = 108
> 108   108NSWER: 108
Answer: A
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Options
A) 60 cm2 B) 30 cm2 C) 45 cm2 D) 15 cm2 E) None of these.

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5= 
6 * 5 = 30
30 cm2   14. The area of a square is 40   ANSWER:30 cm2
Answer: B
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Choose the correct choice from the following.
A) 87 cm2	B) 30 cm2	C) 76 cm2	D) 26 cm2	E) 98 cm2

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle   = 6 * 5= 
6 * 5 = 30
30 cm2   Answer: 30 cm2
Answer: B
How many obtuse triangle can be made when one of the side of the triangle is taken between the 1st natural number and 8.
Options.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 3 triangles can be formed....because we have to take the property that sum of two sides of a triangle should be greater than the third side   ANSWER:3
Answer: C
John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John's account 6 months after the account was opened?	Choices
A) $10,100 B) $10,101 C) $10,200 D) $10,201 E) $10,400

Solution: john amount is compounded quarterly so the formula is A=P*(1+R/100)^N her p=principle R=rate of interest N=no of terms   rate of interest is 4% for a yr   so for quarter R=4/4= 
4/4 = 1
1%   john receive amt after 6 months so there are two quarter   so N=2   Amount A=P(1+R/100)^2   =10000(1+1/100)^2   =10000(1+0.01)^2   =1020   ANSWER:$10,200
Answer: C
. 729ml of mixture contains milk and water in the ratio 7:2 how much more wate is to be added to get a new mixture containing milk and water in the ratio 7:3?
Choose the correct choice:
A) 22 B) 77 C) 36 D) 28 E) 81

Solution: Difficulty Level : Easy Moderately easy Difficult Basic Formula: Facts and ratios a: b = a/b   Answer with Explanation: Ratio of milk and water in 729 ml = 7:2 Step (i) Milk in 729 ml of mixture = (7/9 x 729 ) ml = 567 ml  water in 729 ml of mixture = 729 – 567 = 162 ml Step (ii) Let x be the quantity of water added to new mixture, with the ratio 7:3  Quantity of water in the new mixture = (162 + x ) ml   Then 7/3 =   x162 567  7 (162 + x) = 3 x 567  1134 + 7x = 1701 7x = 1701 – 1134 X = 567/7= 
567/7 = 81
81 ml  Quantity of water added to new mixture= 81 ml.   Answer:81
Answer: E
What least value must be assigned to * so that the number 63576*2 is divisible by 8?  Select the correct option.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Sol.   The given number is divisible by 8, if the number 6x2 is divisible by 8.   Clearly, the least value of x is 3.   Answer 3
Answer: C
The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $40 less. What was the total cost cost of the vacation? Choose the correct choice from the following answers
A) $200	B) $300	C) $480	D) $500	E) $600

Solution: C for cost.   P price per person.   C= 3*P   C=4*P-160   Substituting the value of P from the first equation onto the second we get P = 160.   Plugging in the value of P in the first equation, we get C= 480. Which leads us to answer choice $480
Answer: C
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Options.
A) 27 1/2 kmph B) 22 1/2 kmph C) 32 1/2 kmph D) 22 1/1 kmph E) 22 5/2 kmph

Solution: 100 --- 10 DS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 22 1/2 kmph   Answer: 22 1/2 kmph
Answer: B
Winners will be announced the following day at 11 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
Options
A) 13
B) 21
C) 22
D) 24
E) 25

Solution: The reasoning is as follows:-   B) can't be answer because Y<x 22)="" 3="" 4="" a)="" answer="" be="" because="" but="" can't="" correct="" d)="" digit="" e)="" equal="" give="" is="" it="" middle="" not="" number="" number.="" the="" thus="" to="" will="" wrong="" x="" xy="" y="" y.="" yx="">xwill give 2 digit numbermiddle digit is Y   22</x>
Answer: C
If x and y are positive odd integers, then which of the following must also be an odd integer?
I. x^(y+1)
II. x(y+1)
III. (y+1)^(x-1) + 1
Select the correct option: A) I only B) II only C) III only D) I and III E) None of the above

Solution: I. x^(y+1)>> (odd)^even=odd   II. x(y+1)>>(odd)*even=even   III. (y+1)^(x-1) + 1>>(even)^even+1>>even+1>> odd if x is not equal to 1 and if x=1 then its (even)^0+1=1+!=2 even.   answer I only
Answer: A
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 0.5% more. She would get how much?	Options:
A) 9320	B) 96288	C) 26667	D) 1662	E) 2882

Solution: (8000*3*0.5)/100= 
(8000*3*0.5)/100 = 120
120   9200   --------   9320   9320nswer:9320
Answer: A
Car A runs at the speed of 100km/hr & reaches its destination in 5hr. Car B runs at the speed of 80 km/h & reaches its destination in 6h. What is the respective ratio of distances covered by Car A & Car B?	Options:
A) 11 : 5 B) 11 : 8 C) 13 : 7 D) 25 : 24 E) 16 : 9

Solution: Sol. 25 : 24istance travelled by Car A = 100 × 5 = 500 km   25 : 24istance travelled by Car B = 80 × 6 = 480 km   Ratio = 500/480 = 25 : 24   Answer : 25 : 24
Answer: D
The average of first 14 even numbers is?  Select
A) 10 B) 11 C) 12 D) 13 E) 15

Solution: Sum of 14 even numbers = 14 * 15= 
14 * 15 = 210
210   Average=210/14= 
210/14 = 15
15   ANSW15R:15
Answer: E
Sarah is driving to the airport. After driving at 40 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all?  Choose the correct option.
A) 140
B) 340
C) 210
D) 245
E) 280

Solution: After driving at 40 miles per hourfor one hour, this distance left to cover is d-40. Say this distance is x miles.   Now, we know that the difference in time between covering this distance at 40 miles per hour and 50 miles per hour is 1+ 1/2 = 3/2 hours.   So, we have that x/40 - x/50 = 3/2 --> 5x/200 - 4x/200 = 3/2 --> x/200 = 3/2 --> x = 300.   Total distance = x + 40 = 340 miles.   Answer: 340
Answer: B
Find the odd man out. 187, 264, 386, 473, 682, 781  Choose the correct choice:
A) 386
B) 187
C) 781
D) 682
E) 264

Solution: Explanation :   In all numbers except 386, the middle digit is the sum of other two digits.   386nswer : Option 386
Answer: A
The speed of a train is 110 kmph. What is the distance covered by it in 11 minutes?  Choose the correct option
A) 15 kmph
B) 11 kmph
C) 88 kmph
D) 20 kmph
E) 12 kmph

Solution: 110 * 11/60   = 20 kmph   Answer:20 kmph
Answer: D
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Select
A) 288 B) 240 C) 88 D) 66 E) 812

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer: 240
Answer: B
150 is what percent of 60 ?
Answers:
A) 250%
B) 20%
C) 50%
D) 200%
E) 500%

Solution: 60*x=150 --> x=2.5 -->2.5 expressed as percent is 250%.   250%nswer: 250%.
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?	Answers
A) 2.5 B) 1.5 C) 1.7 D) 1.2 E) 1.9

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer: 1.5
Answer: B
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 8:2. If 80% of the Toyota bought and 20% of the Honda bought were SUVâ€™s. How many SUVâ€™s did UBA capital buy in the aforementioned purchase?  Select.
A) 66%	B) 64%	C) 68%	D) 69%	E) 72%

Solution: let total no of Vehicles bought be 100, Toyota 80 and Honda 20, so total number of SUV's bought for Toyota and Honda respectively  80* 80/100= 
 80* 80/100 = 64
64 and   20* 20/100= 
  20* 20/100 = 4
4   so total 68 SUV's were bought out of 100 Vehicles bought..so required % is 68%   ANSWER:68%
Answer: C