MU-NLPC/Calc-aqua_rat huggingface dataset:
Moli buys 3 ribbons,7 clips and 1 soap for Rs.120 exactly. At the same place it would cost Rs.164 for 4 ribbons, 10 clips and one soap. How much would it cost for one ribbon, one clip and one soap ?  Choose one
A) 36	B) 34	C) 38	D) 32	E) 31

Solution: Explanation :   Let us consider, Ribbon is denoted by r   Clips is denoted by c   Soaps is denoted by s   Now according to the question,   => 3r+7c+s = 120 -------- (1)   => 4r+10c+s = 164 -------- (2)   (1) - (2)   => (3r-4r) + (7c - 10c) +(s - s) = 120 - 164   => -r - 3c = - 44   Multily the equation by -1 , it becomes   => r + 3c = 44 ------- (3)   Now Perform this operation 2 * (1) - (2)   => 2r+4c+s=76 ------- (4)   Finaly (4) - (3)   => r + c + s=32   Hence, the cost of 1 ribbon ,1 clip and 1 saop would be 32 rs.   Answer : 32
Answer: D
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is	Choose the correct choice from the following:
A) 17/29 B) 17/21 C) 17/22 D) 17/20 E) 17/34

Solution: Explanation:   n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(Eá´œP) = 10/20 + 8/20 - 1/20 = 17/20   Answer: 17/20
Answer: D
three friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $650. If one of the friends had a coupon for 35% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choose one:  A) $190  B) $141  C) $145  D) $137  E) $135

Solution: 650 * 0,35 = 227   650 - 227= 
650 - 227 = 423
423   423 / 3= 
423 / 3 = 141
141   Answer $141
Answer: B
When John can do a work in 15 days and Marry in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?
Select the correct option:	A) 2/15	B) 3/25	C) 8/15	D) 9/15	E) None

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	+	1	)	=	7	.   15	20	60   (A + B)'s 4 day's work =	(	7	x 4	)	=	7	.   60	15   Therefore, Remaining work =	(	1 -	7	)	=	8/15   15   8/15
Answer: C
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:	A) 16	B) 19	C) 90	D) 17	E) 91

Solution: 200*2= 
200*2 = 400
400   580   -----   180   1----2   ?----180= 90   Answer: 90
Answer: C
The edges of three metal cubes are 1 cm, 3 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Choose the most appropriate option
A) 3.9	B) 4.2	C) 4.5	D) 4.8	E) 5.1

Solution: The total volume is 1^3+3^3+4^3=92   The edge of the new cube is the cube root of 92 which is about 4.5 cm.   The answer is 4.5.
Answer: C
The average of 10 numbers is 23. If each number is increased by 5, what will the new average be?  Choose the correct choice from the following choices:
A) 36	B) 28	C) 72	D) 29	E) 22

Solution: Sum of the 10 numbers = 230   If each number is increased by 5, the total increase =   5 * 10= 
5 * 10 = 50
50   The new sum= 230 + 50= 
230 + 50 = 280
280 The new average= 280/10= 
280/10 = 28
28.   Answer:28
Answer: B
From the given integer n, if n*n*n is odd, then which is true from below options?  Choose the correct option.
A) n is
B) n is odd and n*n is even
C) n*n is even
D) n is even
E) n*n is odd

Solution: n is odd and n*n is even   Option n is odd and n*n is even
Answer: B
In a room there are 9 people. Each person shook hands with every other person. How many hand shakes were there?  Options:
A) 36
B) 40
C) 44
D) 48
E) 52

Solution: 9C2 = 36   The answer is 36.
Answer: A
In order to complete a reading assignment on time, Terry planned to read 60 pages per day. However, she read only 30 pages per day at first, leaving 480 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?  Choose the correct choice from the following choices.
A) 10  B) 8  C) 6  D) 12  E) 14

Solution: D=60*X - according to the plan, assignment to be completed on time reading 60 pages per day for next X days. But, Terry's plans changed so she read as follow:   30 pages for first Y days and 480 pages for last 6 days, we get these equations:   30*Y+480=60*X   X-Y=6 --------->>X planned number of days, Y - actually used reading 30 pages per day and 6 leftover days used to complete a lump 780 pages   From above we find that X=Y+6 and 30Y+480=60Y+360 or 30Y=120 --->>>>> Y=4, hence X=10   10nswer : 10
Answer: A
If m is a positive integer and m^2 is divisible by 54, then the largest positive integer that must divide m is?	Choose the most appropriate option:
A) 3  B) 6  C) 18  D) 12  E) 16

Solution: M^2 is divisible by 48 so M^2 must be multiple of 48.   If the value of M is Multiples of 18 then it will satisfy the condition. If we If M is 12 or 24 or 36 then it ans is C but if M = 54 then answer should be 16.   Is the question right? Or am i missing some thing?   18
Answer: C
Today is Monday. After 37 days, it will be:
Choose the correct option
A) Sunday
B) Saturday
C) Friday
D) Thursday
E) Wednesday

Solution: Each day of the week is repeated after 7 days.   So, after 35 days, it will be Monday.   After 37 days, it will be Wednesday.   Answer :Wednesday
Answer: E
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 4, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room? Choose the correct answer:
A) 600  B) 1200  C) 1500  D) 1600  E) 3000

Solution: Sugar:Flour = 5:4 = 25:20;   Flour:Soda = 10:1 = 20:2;   Thus we have that Sugar:Flour:Soda = 25x:20x:2x.   Also given that 20x/(2x+60) = 8/1 --> x=120 --> Sugar = 25x =3,000   Answer: 3000.
Answer: E
A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choose the correct choice from the following options:
A) 99
B) 289
C) 350
D) 882
E) 400

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 42 = 50/3   3(x + 300) = 2100 è x = 400m.   Answer: 400
Answer: E
A and B invests Rs.10000 each, A investing for 6 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.24000, find their shares?	Choose one: A) 8000, 16000 B) 1599,2000 C) 7290,3000 D) 15000,4000 E) 72821,5000

Solution: The ratio of their profits 8000, 16000:B =6:12 = 1 : 2   Share of 8000, 16000 = 1 * 24000/3= 
1 * 24000/3 = 8_000
8000   Share of B= 2 * 24000/3= 
2 * 24000/3 = 16_000
16000   8000, 16000nswer : 8000, 16000
Answer: A
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is Choose the correct choice from the following answers:
A) 4/12 B) 4/29 C) 4/22 D) 4/13 E) 4/17

Solution: P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.   P(SᴜK) = 13/52 + 4/52 - 1/52   = 4/13   Answer:4/13
Answer: D
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Choose the correct answer:
A) 45(4/11) %	B) 50 %	C) 45(5/11) %	D) 44(5/11) %	E) None of these

Solution: Explanation :   Total runs scored = 120   Total runs scored from boundaries and sixes = 3 x 4 + 8 x 6 = 60   Total runs scored by running between the wickets = 120 - 60= 
120 - 60 = 60
60   Required %= (60/120) × 100 = 50%   Answer : Option 50 %
Answer: B
The wheel of a car A is having a diameter of 40 inches is rotating at the rate of x inches/minute. The wheel of another car B is having a diameter of 20 inches and is rotating at the rate of y inches/minute. What is the value of x in terms of y if both the rims reach their starting positions at the same time after every rotation?  Choices:
A) 4y  B) 2y  C) 6y  D) 3y  E) 1y

Solution: t=S1/V1=S2/V2   or 40/x=20/y   or x=40y/20=2y   Answer is 2y40 /20= 
40 /20 = 2
2y   Answer is 2y
Answer: B
In a game of eight players lasting for 70 minutes, six substitutes alternate with each player. This means that all players, including the substitutes, are on the pitch for the same length of time. For how long?	Choose the correct choice from the following answers
A) 43 minutes
B) 46 minutes
C) 39 minutes
D) 40 minutes
E) 30 minutes

Solution: D   40 minutes   (70 Ã— 8)Ã· 14.   Total time for eight players = 70 Ã— 8 = 560 minutes.   However, as 14 people are each on the pitch for an equal length of time, they are each on the pitch for 40 minutes (560 Ã· 14);
Answer: D
If the Average (mean ) of 3 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Answers.
A) 6x B) 3x C) 5x/3 D) 3x/2 E) 3x/5

Solution: Let the 5 numbers be 1,2,3,4(since no restrictions are given). There mean is 2.5 (x).   Now the sum of greatest three would be 2+3+4= 
2+3+4 = 9
9   so the answer has to be 3x....that is option 3x
Answer: B
The effective annual rate of interest corresponding to a nominal rate of 16% per annum payable half-yearly is?  Choose one:
A) 16.64%
B) 16.07%
C) 16.08%
D) 16.09%
E) 16.19%

Solution: Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 8/100)2] = Rs. 116.64 Effective rate = (116.64 - 100) = 116.64%   16.64%NSWER:16.64%
Answer: A
A monkey ascends a greased pole 17 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?	Choose the correct choice from the following options
A) 31st	B) 22nd	C) 23rd	D) 24th	E) None of these

Solution: In 2 minutes, he ascends = 1 metre   âˆ´ 15 metres, he ascends in 30 minutes.   âˆ´ He reaches the top in 31st minute.   31stnswer 31st
Answer: A
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 22 gallons of gasoline?  Pick one:
A) 190
B) 284.6
C) 300
D) 268
E) 312

Solution: so 12.2 * 22 = 268..   IMO option 268 is correct answer..
Answer: D
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum? Select the correct option:
A) Rs.578
B) Rs.125
C) Rs.640
D) Rs.220
E) Rs.300

Solution: Explanation:   (P*5*15)/100 - (P*3.5*15)/100 = 144   75P/100 – 52.5P/100 = 144   22.5P = 144 * 100   => P = Rs.640   Answer: Rs.640
Answer: C
If Aaron is now twice as old as Bailey was 20 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 4 years from now? Choices:	A) 3B-22	B) 3B-25	C) 4B-22	D) 4B-24	E) 4B-25

Solution: B is Bailey's current age.   Let Aaron's current age be A.   given A = 2(B-20).   four years from now 3B-22aron's age will be = 2(B-20) + 4 = 2B-36   four years from now Bailey's age will be = B+4   Sum of ages of Mason and Gunther's after 4 years = 2B-36+B+4 = 3B-22   3B-22ns : 3B-22
Answer: A
A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group? Choose the correct option:
A) 657 ways  B) 600 ways  C) 345 ways  D) 876 ways  E) 415 ways

Solution: Two men, three women and one child can be selected in ⁴C₂ * ⁶C₃ * ⁵C₁ ways   = (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 5= 
(4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 5 = 600
600 ways.   Answer: 600 ways
Answer: B
Two persons starting from the same place walk at a rate of 0.5kmph and 5.5kmph respectively. What time will they take to be 75km apart, if they walk in the same direction?
Choose the correct choice from the following choices:
A) 17 hrs	B) 22 hrs	C) 25 hrs	D) 12 hrs	E) 15 hrs

Solution: The relative speed of the boys = 5.5kmph â€“ 0.5kmph   = 5 kmph   Distance between them is 75 km   Time= 75km / 5 kmph = 15 hrs   Answer : 15 hrs.
Answer: E
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choose the correct choice from the following: A) 388 B) 277 C) 500 D) 2887 E) 212

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters.Answer: 500
Answer: C
If 12 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes	Choices:
A) 41
B) 42
C) 43
D) 66
E) 45

Solution: n(n-1)/2 =12*11/2= 
12*11/2 = 66
66   ANSWER:66
Answer: D
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?  Choose the correct choice from the following answers
A) 1 : 3 B) 3 : 4 C) 2 : 5 D) 3 : 7 E) 4 : 9

Solution: Let the speed of the train be x km/hr and that of the car be y km/hr.   Then, 120 + 480 = 8 1 + 4 = 1 ....(i)   x y x y 15   And, 200 + 400 = 25 1 + 2 = 1 ....(ii)   x y 3 x y 24   Solving (i) and (ii), we get: x = 60 and y = 80.   Ratio of speeds = 60 : 80 = 3 : 4.   3 : 4
Answer: B
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 3? Choose one.
A) y = -1/2*x + 3  B) y = 1/2*x - 3  C) y = 1/2*x + 3  D) y = 2x + 3  E) y = 2x − 3

Solution: Slope of y = − 2x + 3 is -2.   Product of slope of Perpendicular lines is always -1. Therefor slope of a line perpendicular to the above line is 1/2   1/2*-2 = -1   General equation of a line perpendicular to y = − 2x + 3 is y = 1/2x + k where is the k is the y intercept.   y-intercept of y = 2x − 3 is -3   Therefore equation of the required line is   y = 1/2 x - 3   Answer y = 1/2*x - 3
Answer: B
Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 45. He was allowed to drop his lowest score. After doing so, his average test score improved to 50. What is the lowest test score that was dropped?	Choose the correct choice from the following choices:  A) 20  B) 30  C) 55  D) 65  E) 80

Solution: The arithmetic mean of 4 equally weighted tests was 45. So what we can assume is that we have 4 test scores, each 45.   He dropped his lowest score and the avg went to 50. This means that the lowest score was not 45 and other three scores had given the lowest score 5 each to make it up to 45 too. When the lowest score was removed, the other 3 scores got their 5 back. So the lowest score was  3 *5= 
 3 *5 = 15
15 less than 45.   So the lowest score= 45 - 15= 
45 - 15 = 30
30   Answer (30)
Answer: B
Joe has a total of $200 in his two pockets. He takes one fourth of the
money in his left pocket and puts it in his right pocket. He then takes
$20 from his left pocket and puts it in his right pocket. If he now has
an equal amount of money in each pocket, then how much money did he
originally have in his left pocket?
Choices.
A) $120	B) $130	C) $140	D) $150	E) $160

Solution: Joe had $100 in his left and $100 in his right pocket at the end. So, he had $120   in his left pocket (and $80 in his right pocket) before moving $20 from his left to his   right pocket. Thus, he had $160 in his left pocket originally (solve x − x/4 = 120).   correct answer $160
Answer: E
In a 3 x 3 grid, comprising 9 tiles can be painted in red or blue. When tile is rotated by 180 degrees, there is no difference which can be spotted. How many such possibilities are there?	Choices
A) 22
B) 32
C) 771
D) 99
E) 77

Solution: This grid even rotated 180 degrees the relative positions of the tiles do not change. So we paint tile number 1's with red or blue (only one color should be used) , 2's with red or blue.....tile 5 red or blue. Then total possibilities are 2525 = 32   Answer:32
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:  Choose the correct choice:
A) 32
B) 50
C) 99
D) 77
E) 51

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x   = 50 km/hr.   Answer: 50
Answer: B
A store owner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?	Choices:
A) $14,755
B) $15,325
C) $16,000
D) $16,225
E) $17,155

Solution: cost of type $14,755 products next year = 1.25 * 4500= 
1.25 * 4500 = 5_625
5625   cost of type B products next year= 1.1 * 8300= 
1.1 * 8300 = 9_130
9130   total 5625 + 9130= 
5625 + 9130 = 14_755
14755   $14,755NSWER:$14,755
Answer: A
How many pages the book have, if total 294 digits are used to form the page numbers? Choose the correct answer.
A) 134 pages  B) 136 pages  C) 137 pages  D) 138 pages  E) 139 pages

Solution: First 9 pages .. 9 digits   next 90 pages .. 180 digits   next 35 pages ... 105 digits   ----------------------   Total ...134 pages ...300 digits   134 pagesNSWER:134 pages
Answer: A
Lilly has 10 fish and Rosy has 9 fish. In total, how many fish do they have in all?  Answers
A) 16
B) 17
C) 18
D) 19
E) 20

Solution: 10+9= 
10+9 = 19
19   The answer is 19.
Answer: D
The average (arithmetic mean) of four numbers is 7x + 6. If one of the numbers is x, what is the average of the other three numbers?	Choose the correct choice from the following answers
A) 9x + 8	B) 3x + 3	C) 5x + 1	D) 5x + 4	E) 15x + 12

Solution: If the average of four numbers is 7x + 3, then the sum of all four numbers if 4 * (7x + 6) = 28x + 24. If one of the numbers is x, then the average of the remaining three numbers would be: (28x + 24 - x)/3 = (27x + 24)/3 = 9x + 8.   9x + 8nswer is 9x + 8.
Answer: A
If two sides of a triangle have lengths 6 and 10, which of the following could be the perimeter of the triangle?
I. 10
II. 15
III. 25	Choices: A) I only B) II only C) II and III only D) I, II, and III E) none

Solution: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Therefore:   (10-6) < {third side} < (10+6).   4< {third side} < 16.   Perimeter = {third side} + 4 + 16= {third side} + 20.   24 < {perimeter} < 36   Answer: none.
Answer: E
x and y are positive integers. If xy + 2x is odd, then which of the following must be even?
Choose the correct choice from the following choices.
A) x B) y +2 C) x + y D) xy − x E) x^2 − y

Solution: Given that xy + 2x is odd, which means x(y+2) is odd.   Product of two nos. will be odd only if both the nos. are odd.   Hence x is odd, y+2 is also odd.   y+2 is even. Answer will be y +2.
Answer: B
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?	Pick
A) 7  B) 8  C) 6  D) 4  E) 2

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
Two trains each 475 m long are running in opposite directions on parallel tracks. Their speeds are 55 km/hr and 40 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Choose the correct choice from the following answers:
A) 77 sec
B) 66 sec
C) 48 sec
D) 36 sec
E) 45 sec

Solution: Relative speed = 55+40= 
55+40 = 95
95 km/hr.   95 * 5/18= 475/18 m/sec.   Distance covered = 475 + 475= 
475 + 475 = 950
950 m.   Required time= 950 * 18/475= 
950 * 18/475 = 36
36 sec.   Answer: 36 sec
Answer: D
Present ages of Sameer and Anand are in the ratio of
5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? Choices.
A) 24 B) 27 C) 40 D) cannot be determined E) None

Solution: Solution   Let the present ages of sameer and anand be 5x years and 4x years respectively.   Then	5x+3/4x+3=11/9   ≈9(5x+3)=11(4x+3)   x=6.   Anands's present age	= 4x   =24 years.   24nswer 24
Answer: A
If 15 toys cost Rs, 234, what do 35 toys cost?
Choose the correct choice from the following:
A) Rs.546
B) Rs.754
C) Rs.590
D) Rs.520
E) Rs.600

Solution: Let the required cost be Rs. x. Then,   More toys, More cost	(Direct Proportion)   .	15 : 35 : : 234 : x  (15 x x) = (35 x 234)  x=(35 X 234)/15 =546   Hence, the cost of 35 toys is Rs. 546.   Rs.546nswer is Rs.546
Answer: A
A number increased by 40% gives 700. The number is Choose one:	A) 250	B) 500	C) 450	D) 500	E) 520

Solution: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"   A number means = 100 %   That same number increased by 40 % = 140 %   140 % ------->700 (140× 5 = 700)   100 % -------> 700 (100 × 5 = 500)   500)
Answer: B
A train crosses a platform of 110 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Select.
A) 150  B) 88  C) 77  D) 310  E) 52

Solution: Length of the train be â€˜Xâ€™   X + 110/15 = X + 250/20   4X + 440 = 3X + 750   X = 310m   Answer: 310
Answer: D
The smallest 3 digit prime number is: Choose the correct choice from the following choices: A) 103 B) 106 C) 107 D) 112 E) 101

Solution: A   103   The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   √101< 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.
Answer: A
Walking at 5/6 of its usual speed, a train is 10 minutes too late. What is usual time to cover the journey?  Choose the correct option
A) 70 minutes B) 2 hours C) 2/3 hours D) 5/6 hours E) 85 minutes

Solution: et Speed be S and Time to cover the journey be T   S * T = D (distance of journey) --- 1   now as per the question stem we have   (5/6)S * (T + 10) = D ----2   Equating Value of D from (1) in (2) we get T = 50mins or 5/6hrs .   Answer: 5/6 hours
Answer: D
The difference between the heights of two trees is 20 cm. Ten years ago, the taller one was thrice as taller as the shorter one. The present height of the taller tree is  Options:	A) 300cm	B) 15cm	C) 20cm	D) 10cm	E) 40cm

Solution: Let their heights of x cm and (x + 20) cm respectively.   Then, (x + 20) - 10 = 3(x - 10)   ⇔ x +10= 3x - 30   ⇔ 2x = 40   ∴ Present height of taller tree = (20 + 10)= 
(20 + 10) = 30
30cm.   300cmnswer :30cm
Answer: A
The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 75 terms of set X?  Pick:
A) 0  B) 2  C) 4  D) 6  E) 8

Solution: 75*4 + 74*40 + 73*400 = 300 + 2960 + 29200= 
300 + 2960 + 29200 = 32_460
32460   The hundreds digit is 4.   The answer is 4.
Answer: C
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:	Select.
A) 5kmph  B) 7kmph  C) 6kmph  D) 4kmph  E) 4.5kmph

Solution: Let the speed of the stream be x km/hr. Then,   Speed downstream = (15 + x) km/hr,   Speed upstream = (15 - x) km/hr.   30/(15+x) + 30/(15-x) = 4.5   9 * x^2 = 225   x^2 = 25   x = 5 kmph   5kmphns- 5kmph
Answer: A