MU-NLPC/Calc-aqua_rat huggingface dataset:
Taequan is playing a dice game where he rolls two, fair, six-sided dice twice. If he gets the same roll on his second try as his first, he wins. If he rolled an 8 on his first try, what is the probability that he will win with his second roll? Select the correct option:
A) 1/18	B) 1/12	C) 1/9	D) 1/6	E) 5/36

Solution: There are 5 ways to roll an 8: 2 and 6, 6 and 2, 3 and 5, 5 and 3, 4 and 4 (4 and 4 is counted just once).   There are  6*6= 
 6*6 = 36
36 ways to roll two six-sided dice.   The dice are fair, so the probability of rolling an 8 is 5/36.   5/36
Answer: E
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?	Select the correct option
A) 100 m B) 200 m C) 400 m D) 500 m E) 300 m

Solution: Relative speed of the policeman = (10-8) km/hr =2 km/hr.   Time taken by police man to cover 100m   100/1000 x 1/2 hr = 1/20 hr.   In 1/20 hrs, the thief covers a distance of 8x 1/20km =2/5km = 400 m   ANSWER 400 m
Answer: C
Mangala completes a piece of work in 18 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is Choose one:
A) 6 days  B) 7 days  C) 15 days  D) 9 days  E) 11 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 18 Ã— 40/48 = 15 days.   15 days
Answer: C
The average weight of 8 person's increases by 5 kg when a new person comes in place of one of them weighing 35 kg. What might be the weight of the new person?	Select the correct option.
A) 80 kg
B) 85 kg
C) 75 kg
D) 100 kg
E) 110 kg

Solution: Total weight increased = (8 x 5) kg = 40 kg.   Weight of new person = (35 + 40)= 
(35 + 40) = 75
75 kg.   Answer : 75 kg
Answer: C
What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?
Answers.
A) 20 18 48 61 B) 50 18 48 62 C) 10 18 48 68 D) 30 18 48 66 E) 40 18 48 69

Solution: D   30 18 48 66.   Starting at the top, add pairs of numbers in each column to arrive at the next number.
Answer: D
A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article ?	Answers
A) $400 B) $150 C) $300 D) $550 E) $610

Solution: Let C.P. be $x   Then 105% of x - 80% of x = 100   25% of x = 100   x/4 = 100   x = 400   $400nswer is $400
Answer: A
On January 1, 2011, James invests 80% of his retirement savings in Antarctic largecap stocks, 10% in Antarctic midcaps, and 10% in Antarctic smallcaps. In 2011, largecaps rise 10%, midcaps rise 10%, and smallcaps rise 20% in the Antarctic stock market; however, in 2012, largecaps fall 5% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2013,James has the same total amount of retirement savings as he did two years before, then x is between	Pick one.
A) 10 and 20  B) 20 and 30  C) 30 and 40  D) 40 and 50  E) 50 and 60

Solution: Pick a smart number for the total retirement savings James starts with—say, $1,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)   Here are the starting values:   L = $800   M = $100   S = $100   Apply the first year’s changes, so that you have these numbers on 1/1/2012:   Newer L = $800 + 10% = $880   Newer M = $100 + 10= 
100 + 10 = 110
$110   Newer S= $100 + 20= 
100 + 20 = 120
$120   Now apply the second year’s changes to L and M:   Newest L= $880 – 5% = $880 – $44 = $836   Newest M = $110 – 10% = $110 – $11 = $99   Add these to get $935. So the newest S must be $1,000 (the target final total of James’s retirement savings) minus $935, $65   The dollar change in S from 1/1/12 to 1/1/13 is $120 – $55 = $65. So the question is this: what percent change does $65 represent, from a starting point of $120? Since $120 is a nasty divisor, switch to benchmarks:   20% of $120 = $24.   So 40% is just double that, or $48.   And 50% is equal to or $60.   From this $55 lies between $48 and $60   The correct answer is 40 and 50.
Answer: D
√{(3.5)(10^9)} is closest to which of the following?
Select the correct option
A) 60,000 B) 75,000 C) 140,000 D) 220,000 E) 250,000

Solution: √{(3.5)(10^9)} = √{(35)(10^8)} = √(35)√(10^8) = (√35) * 10,000 which is almost 60,000.   The answer is 60,000.
Answer: A
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose the correct choice
A) 2:5  B) 2:7  C) 4:3  D) 2:4  E) 2:9

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2 : 5   2:5nswer:2:5
Answer: A
A tank is filled by 3 pipes A,B,C in 5 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choose one.
A) 25hr B) 35hr C) 40hr D) 20hr E) 50hr

Solution: Suppose pipe A alone take x hours to fill the tank   Then pipe B and C will take x/2 and x/4 hours respectively to fill the tank.   1/x + 2/x + 4/x = 1/5   7/x = 1/5   x = 35 hours   Answer is 35hr
Answer: B
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?	Choose the correct choice from the following.
A) 200 m	B) 700 m	C) 800 m	D) 100 metre	E) 1050 m

Solution: Explanation:   A can give B (5 min - 4 1/2 min) = 30 sec start.   The distance covered by B in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   A can give B 100m start.   Answer:100 metre
Answer: D
In a certain province in Russia there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choose the correct choice.
A) 30
B) 105
C) 330
D) 14!
E) 15!

Solution: Method-1:   Russia has Total Cities = 15 and each city should be connected with every other city   So Total Roads required to connect 1st City with other 14 cities = 14   Now 1st City is connected with all other cities so,   So Total Roads required to connect 2nd City with 13 cities (Other than 1st) = 13   Now 1st and 2nd Cities are connected with all other cities so,   So Total Roads required to connect 3rd City with 12 cities (Other than 1st, and 2nd) = 12   ......and so on...   Total Roads required = 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= 
14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105
105=105
Answer: B
In an apartment building that has 441 units, 4 out of every 7 units are currently rented, including 1/5 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
Choose one: A) 45 B) 70 C) 100 D) 105 E) 140

Solution: rented = 4/7*441= 
4/7*441 = 252
252.   Rented two-bedroom= 6/7*252= 
6/7*252 = 216
216;   Rented one-bedroom= 1/7*252= 
1/7*252 = 36
36or 252-216= 
252-216 = 36
36).   Rented one-bedroom units are 1/5 of all one-bedroom: 1/5*{All one bedroom}= 36 --> {All one-bedroom} = 180.   {All two-bedroom} = 441 - 180= 
441 - 180 = 261
261.   Two-bedroom not rented= 261 - 216= 
261 - 216 = 45
45.   45nswer: 45.
Answer: A
How many minutes does it take Dhoni to type 64 words if he types at the rate of 16 words per minute?  Choose the correct answer.
A) 10
B) 15
C) 12
D) 16
E) 14

Solution: time*rate=job --> time*16=64 --> time=64/4= 
64/4 = 16
16.   Answer: 16.
Answer: D
A and B start walking towards each other at 6pm at speed of 6kmph and 4kmph. They were initially 50km apart. At what time do they meet?  Choose the correct answer
A) 8pm	B) 6pm	C) 11pm	D) 10pm	E) 5pm

Solution: Time of meeting = distance / relative speed = 50/4+6 = 50/10= 
50/10 = 5
5 hrs after 6pm= 11pm   Answer is 11pm
Answer: C
Manoj borrowed Rs.4200 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?  Select.
A) 22877	B) 5855	C) 2778	D) 6787	E) 1771

Solution: Let the sum lent by Manoj to Ramu be Rs.P.   Amount gained by Manoj = P. 3.9 /100 = 4200.3.6/100 = Rs.824.85   27P = 75600 = 82485   P = (82485 + 75600)/27 = 3055 + 2800 = Rs.5855   Answer: 5855
Answer: B
Find the remainder of the division (3^50)/7.
Choices: A) 5 B) 3 C) 2 D) 1 E) 7

Solution: Find the pattern of the remainders after each power:   (3^1)/7 remainder 3   (3^2)/7 remainder 2   (3^3)/7 remainder 6   (3^4)/7 remainder 4   (3^5)/7 remainder 5   (3^6)/7 remainder 1 -->this is where the cycle ends   (3^7)/7 remainder 3 -->this is where the cycle begins again   (3^8)/7 remainder 2   2ontinuing the pattern to (3^50)/7 gives us a remainder of 2   Final Answer:   2) 2
Answer: C
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum Z of the 3 greatest of these temperatures, in degrees Fahrenheit, could be Pick:
A) 6x
B) Z=4x
C) 5x/3
D) 3x/2
E) 3x/5

Solution: OA please. Yeah so 5x is the sum of the 5, then I guess 4x could be the answer (B)   But what about C,D,E? Any ideas why these could be wrong?   Note that we have 5positivetemperatures.   Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<sum<5x --=""> only option B fits.   Answer: Z</sum<5x>=4x.
Answer: B
The present population of a town is 1000. Population increase rate is 25% p.a. Find the population of town before 1 years?	Choose the correct choice from the following choices
A) 800
B) 1500
C) 1000
D) 750
E) 500

Solution: P = 1000   R = 25%   Required population of town = P/(1 + R/100)^T   = 1000/(1 + 25/100)   = 1000/(5/4)= 
1000/(5/4) = 800
800   800nswer is 800
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 12kmph. Find the speed downstream and upstream?  Choices:
A) 87 kmph
B) 40 kmph
C) 16 kmph
D) 15 kmph
E) 48 kmph

Solution: Speed downstream = 60 + 12= 
60 + 12 = 72
72 kmph   Speed upstream= 60 - 20   = 48 kmph   Answer:48 kmph
Answer: E
A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104,350,400,000 pounds, how many widgets have been unloaded?
Choices:
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: We need to know the number of widgets (which weigh 5 pounds each). The number of times that 5 divides the number is related to the number of times that 10 divides the number.   When we divide 104,350,400,000 by 100,000, we get 104,350,400,000 = 1,043,504 * 5^5 *2^5.   1,043,504 is not divisible by 5, thus there are 5 widgets.   The answer is 5.
Answer: D
How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture worth Rs.32/3 a litre?	Choose the correct choice
A) 10 litres	B) 12 litres	C) 15 litres of water	D) 18 litres	E) 21 litres

Solution: C.P. of 1 litre of milk = Rs. 20×2/3 = Rs. 40/3.   C.P. of 1 litre of water =Rs 0.   Mean price = Rs. 32/3.   By the rule of alligation, we have :   C.P of 1 litre C.P of 1 litre   of water of milk   (0) (Rs. 40/3)   \ /   Mean Price   (Rs. 32/3)   / \   40/3−32/3 32/(3−0)   8/3 32/3   The ratio of water and milk =8/3:32/3.   =8:32=1:4.   Thus, Quantity of water to be added to 60 litres of milk:   =(1/4)×60 litres.   =15 litres. ANSWER : 15 litres of water
Answer: C
Angelina walked 150 meters from her home to the grocery at a constant speed. She then walked 200 meters to the gym at double the speed. She spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choose the correct choice from the following:	A) 2	B) 3	C) 4	D) 10	E) 12

Solution: let the speed be X...   so time taken from home to grocery= 150/x..   the speed to gym = 2x..   so time taken = 200/2= 
200/2 = 100
100/x..   its given 150/x-100/x=10   50/x=10   x=5m/secs..   so grocery to gym=2*5= 
2*5 = 10
10m/s...   Answer : 10
Answer: D
In a 1000 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choose the correct choice from the following answers:
A) 100 sec. B) 50 sec C) 25 sec D) Data not sufficient E) None of these

Solution: Speed of Shiny = 50/ 10= 
50/ 10 = 5
5m/s   Time taken by shiny to complete the race is B= 1000/5= 
1000/5 = 200
200 sec.   Time taken by Baley to complete the race is D= 1000/4= 
1000/4 = 250
250 sec.   Hence, D-50 sec= 50 sec   ANSWER:50 sec
Answer: B
If a person walks at 16 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is: Choose the correct choice from the following options
A) 50 km  B) 56 km  C) 60 km  D) 70 km  E) 33.3 km

Solution: Let the actual distance travelled be x km.   x/10 = (x+20)/16   16x = 10x + 200   6x = 200   x = 33.3 km.   answer :33.3 km
Answer: E
Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Choose the correct option.
A) 26 B) 22 C) 2 D) 52 E) 18

Solution: There are two series here   2, 10, 18, 26, ... (Increase by 8)   7, 22, 37, ... (Increase by 15)   Hence, next term is   37+15= 
  37+15 = 52
52   Answer is 52
Answer: D
How many ways are there for 3 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choose the correct answer:
A) 6	B) 12	C) 72	D) 100	E) 720

Solution: Lets first sit the 3 man, 2! ways.   Now since one position is fixed for women, there are 2 women left and they have 2! ways   2! X 2! = 4 answer is diff this way.   or shall we give possibility of 3 ways for women to be fixed with back facing so 3! ways, ANS:12
Answer: B
How many different values of positive integer x, for which |x+9|<x, are there?  Choose the correct choice from the following options
A) 0
B) 2
C) 3
D) 8
E) 16

Solution: Answer C   I opted to put the random value option.   i used 0 , 9 , -9 and the the extreme of 10 and -10..   i was able to solve it in 1:09   3
Answer: C
A man buys an article for 14% less than its value and sells it for 14% more than its value. His gain or loss percent is: Choose the correct choice from the following answers:
A) no profit, no loss	B) 20% profit	C) less than 30% profit	D) more than 30% profit	E) None

Solution: Let the article be worth Rs. x.   C.P. 86% of Rs. x = Rs. 86x/100   S.P. = 114% of Rs. x = Rs. 114x/100   Gain = (114x/100 - 86x/100) = Rs. 7x/25   Gain % = 7x/25 * 100/86x * 100 = 32 24/43 % > 30%   ANSWER:more than 30% profit
Answer: D
If x is negative and y is positive, which of the following must be positive? Choose the most appropriate option.
A) x/y	B) xy	C) 2y + x	D) (x + y)^2 + 1	E) 3x/y

Solution: A. x/y   -ve/+ve=-ve   will be negative   B. xy   -ve*+ve= -ve   will be negative   C. 2y + x   might be positive or negative . The sign will be depend on the absolute values of x and y . The expression will be positive if 2y>x   D. (x + y)^2 + 1   = (x+y)^2 will be positive irrespective of the absolute values of x and y   will be positive always   E. 3x/y   =- ve/ +ve   will be negative   Answer (x + y)^2 + 1
Answer: D
In an election between 2 candidates, 50% of the voters cast their votes, out of which 10% of the votes were declared invalid. A candidate got 5000 votes which were 50% of the total valid votes. Find the total number of votes enrolled in that election?  Choose the correct choice.
A) 16200  B) 18000  C) 17500  D) 15823  E) 15000

Solution: Let the total number of votes enrolled be x.   Then, number of votes cast = 50% of x.   Valid votes = 90% of (50% of x)   50% of (90% of (50% of x)) = 4050   (50/100)*(90/100)*(50/100)x = 4050   x = 18000   Answer is 18000
Answer: B
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 9 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice from the following answers: A) 18/79 B) 1/6 C) 1/45 D) 1/50 E) 1/900

Solution: If it takes 9 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/9= 
180/9 = 20
20. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases= 20. Now, we need to figure out the total # of cases.   The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3= 
10*10*3*3 = 900
900   So, the probability that the police will find the transmitter within three hours= 20/900 = 1/45. Option 1/45
Answer: C
Prathik purchased 40 shirts for rs 3000.he spends 10% for transportation. What should be the selling price per shirt to earn profit of 20% ?
Answers:
A) 96 rs	B) 97 rs	C) 98 rs	D) 99 rupees	E) 100 rs

Solution: total CP = 3000 + 3000*10/100= 
3000 + 3000*10/100 = 3_300
3300   to gain 20% profit, SP= (100+20)*3300/100= 
(100+20)*3300/100 = 3_960
3960   selling price per shirt= 3960/40= 
3960/40 = 99
99 rs/shirt   ANSWER:99 rupees
Answer: D
A can do a certain job in 16 days. B is 60% more efficient than A. How many days does B alone take to do the same job?  Choices
A) 11 1/4 days
B) 8 days
C) 5 days
D) 10 days
E) None of them

Solution: Ratio of times taken by A and B = 160 : 100 = 8 : 5.   Suppose B alone takes x days to do the job.   Then, 8 : 5 :: 16 : x = 8x = 5 x 16 =x = 10 days.   Answer is 10 days.
Answer: D
A can do a work in 22 days. B is 30% more efficient than A. How many days does B alone take to do the same job?	Choose the correct choice.
A) 222/13  B) 221/13  C) 220/13  D) 219/13  E) 218/13

Solution: Ratio of times taken by A and B = 130:100 = 13:10   suppose B alone to take x days to do the work   then, 13:10::22:x   13x= 10*22= 
10*22 = 220
220/13 days   correct option is 220/13
Answer: C
When Q is divided by X, the quotient is R and the remainder is E. Which of the following expressions is equal to E?
Choose the correct choice from the following choices
A) -RX + Q
B) RX - Q
C) Q + RX
D) QX - R
E) Q/R

Solution: Q/X = R + E/W   Q -RX = E   -RX + Qmswer: -RX + Q
Answer: A
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?  Choose the most appropriate option.
A) 69 B) 78 C) 96 D) 56 E) 48

Solution: let the digits be x,y   x + y = 15   x - y = 3   2x = 18, x = 9 so y = 6   hence the number is 96   so the correct answer is option 96) 96.
Answer: C
If n is a natural number, then(6n^2+6n) is always divisible by?	Select
A) 6 only B) 6 and 12 C) 12 only D) by 18 only E) None of these

Solution: (6n^2+6n)=6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.   Correct Option: 6 and 12
Answer: B
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choose the most appropriate option
A) 9/7  B) 5/8  C) 3/7  D) 5/12  E) 4/7

Solution: Here n(S)=(6*6)= 
(6*6) = 36
36   let E=event of getting a total more than 7   ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}   P(E)=n(E)/n(S)=15/36=5/12.   Ans: 5/12
Answer: D
Kul is 22 years old and Saras is 33 years. Find the ratio of Saras's age to Kul's age.	Choose the correct option: A) 3/1 B) 3/2 C) 5/2 D) 5/3 E) None of these

Solution: Explanation :   Kul is 22 years old.Saras is 33 years old.Saras's age : Kul's age = 33 : 22 = 3 : 2   Answer : 3/2
Answer: B
If 2/a + 3/a + 6/a is an integer, which of the following must also be an integer? Select the correct option
A) 12/a  B) 3/a  C) 6/a  D) 9/a  E) 11/a

Solution: 2/a + 3/a + 6/a   =11/a   Answer 11/a
Answer: E
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 46800, how much amount per month would he have spent on clothes and transport?
Choose one:
A) 4038  B) 8076  C) 9691.2  D) 4845.6  E) 3900

Solution: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month   ∵ Amount, spent on clothes and transport   = 46800⁄12 = 3900   Answer 3900
Answer: E
How long does a train 125 m long running at the speed of 78 km/hr takes to cross a bridge 125 m length?
Select: A) 12.7 sec B) 10.1 sec C) 11.5 sec D) 12.1 sec E) 11.7 sec

Solution: Speed = 78 * 5/18   = 21.7 m/sec   Total distance covered   = 125 + 125= 
125 + 125 = 250
250 m.   Required time= 250/21.7 '   = 11.5 sec.   Answer:11.5 sec
Answer: C
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 23. What is the middle number?  Pick:	A) 25	B) 27	C) 15	D) 32	E) 34

Solution: The total of seven numbers = 7X18 = 126   The total of first 3 and last 3 numbers is = 3 X 14+3 X 23 = 111   So, the middle number is  (126 - 111 )= 
 (126 - 111 ) = 15
15   15
Answer: C
The compound ratio of 5:6, 5:2 and 4:5?
Options:
A) 1:1	B) 5:3	C) 1:6	D) 1:9	E) 1:2

Solution: 5/6 * 5/2 * 4/5 = 5/3   5:3   Answer: 5:3
Answer: B
A car runs at the speed of 40 km per hour when not serviced and runs at 80 kmph when serviced. After servicing the car covers a certain distance in 8 hours. How much time will the car take to cover the same distance when not serviced? Select the correct option.
A) 8 hours 12 minutes
B) 12 hours
C) 16 hours
D) 17 hours
E) None

Solution: Explanation :   Time = 80*8 / 40= 
80*8 / 40 = 16
16 hours   Answer â€“ 16 hours
Answer: C
The Julie's father's age is two more than thrice Julie's age. If Julie will be 15 after 4 years, what is her father's present age?	Choose the correct choice from the following
A) 35 years	B) 33 years	C) 32 years	D) 34 years	E) 30 years

Solution: LET 35 yearsGE OF JULI BE 'J'   35 yearsGE OF HER F35 yearsTHER BE 'F'   then given 3J+2=F   35 yearsND J+4=15   ====>J=11 at present   then F=3*11+2= 
3*11+2 = 35
35   35 yearsNSWER:35 years
Answer: A
Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?  Choose one:
A) 34.25 B) 34.28 C) 24.252 D) 64.28 E) 34.21

Solution: Explanation:   34.25verage runs scored by Virat Kohli in 10 matches: Total runs scored/10—(1)   34.25verage runs scored by Virat Kohli in 6 matches: (Total runs in 6 matches)/6   => 42 = Runs/6   =>252 runs   Using (1):   =>38.9 = Runs/10   =>389 runs   Runs scored in rest 4 matches:  389 - 252= 
 389 - 252 = 137
> 137 runs   34.25verage runs scored by Virat Kohli in 4 matches:  137/4= 
 137/4 = 137/4 = around 34.25
34.25 runs   34.25NSWER: 34.25
Answer: A