MU-NLPC/Calc-aqua_rat huggingface dataset:
In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks D are made of cotton?  Options:
A) 100  B) 80  C) 60  D) 50  E) 25

Solution: I'll prefer to solve this with plug n play method.   As we know, White Cotton socks are only 25% and Total Cotton socks is 60% - Hence Black Cotton socks D has to be [highlight]HIGH[/highlight]number. Thats why we've to pick high number... say 100 or 80.   100 fits perfectly after relevant calculations. Hence answer 100.
Answer: A
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?  Choose the correct choice
A) 14 B) 19 C) 20 D) 24 E) 26

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways   4: Or 4p = — 4:- 4X3X2X1- 24 ways   24
Answer: D
Points M(13,22) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
Choose the correct choice from the following choices:  A) (5,0)  B) (0,5)  C) (0, (136^(1/2))/2)  D) (3/2,0)  E) (9,15)

Solution: The midpoint of a segment is exactly halfway between its endpoints and it's location can be found using the Midpoint Theorem, which states:-   The x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints.• Likewise, the y-coordinate is the average of the y-coordinates of the endpoints.   So, x=(13+5)/2= 
(13+5)/2 = 9
9 and y=(22+8)/2= 
(22+8)/2 = 15
15 --> coordinates of the midpoint are (9, 15).   Answer: (9,15).
Answer: E
In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?  Choose the correct choice from the following answers:
A) 100 B) 300 C) 400 D) 1,000 E) 2,500

Solution: 3/5= 
3/5 = 3/5 = around 0.6
0.6*x   Another 600 register as republican, with the total amount being 80% republican (4/5)   Total new voters is 1,100 (500+600)   So, 0.6x + 600= 0.8(x+1,100)   0.6x + 600 = 0.8x + 880   answer is 300
Answer: B
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot? Choose one:
A) 11	B) 17	C) 88	D) 66	E) 12

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b = 17 m.Answer: 17
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Choose the correct option:
A) 816 m
B) 577 m
C) 240 m
D) 176 m
E) 126 m

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m.   Answer:240 m
Answer: C
Light glows for every 20 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Choices.
A) 380 times	B) 381 times	C) 382 times	D) 248 times	E) 482 times

Solution: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/20)=248 times.   ANSWER:248 times
Answer: D
Andrew started saving at the beginning of the year and had saved $160 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year? Choose the correct choice from the following answers:
A) 11%
B) 25%
C) 44%
D) 56%
E) 137.5%

Solution: Percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year.   Percentage Change = ( Change in value / Original value ) * 100   Percentage Change = [ (Saving in 2nd year - Saving in 1st year ) / Saving in 1st year ] * 100   Saving in 2nd year + Saving in 1st year = 540   Saving in 2nd year + 160 = 540   Saving in 2nd year = 540 - 160= 
540 - 160 = 380
380   Change in Value= 380 - 160= 
380 - 160 = 220
220   Original Value= 160   Percentage Increase = (220 / 160 ) * 100= 
(220 / 160 ) * 100 = 275/2 = around 137.5
137.5 % ..... Answer 137.5%.....
Answer: E
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choose the correct choice from the following
A) 1775 liters	B) 8176 liters	C) 1467 liters	D) 1184 liters	E) 1886 liters

Solution: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148= 3k + 148   => 2k = 296 => k = 148   The initial quantity of water in   A = 8k   = 8 * 148= 
8 * 148 = 1_184
1184 liters.   Answer:1184 liters
Answer: D
How many words with or without meaning, can be formed by using all the letters of the word, â€˜RAMâ€™, using each letter exactly once?	Answers.
A) 6 B) 8 C) 5 D) 9 E) 1

Solution: The word â€˜RAMâ€™ contains 3 different letters.   Therefore, Required number of words= Number of arrangement of 3 letters, taken all at a time   =3P3   = 3!   = 3*2*1= 
3*2*1 = 6
6   6NSWER:6
Answer: A
As part of a game, two people each must secretly choose an integer between 1 and 2, inclusive. What is the approximate likelihood that all two people will choose different numbers?
Pick.
A) 9%
B) 12%
C) 16%
D) 20%
E) 50%

Solution: Ans:50%   1st person has option no's- (1,2) - there fore probability of getting a no = 2c1/2c1 = 1   2nd person has only one option   - there fore probability of getting a no = 1c1/2c1 =1/2   =1*1/2 =50%
Answer: E
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill? Choices:
A) A)1/8 B) B)1/3 C) C)1/9 D) D)1/2 E) E)1/4

Solution: 1/10 + 1/15 = 1/6 * 4 = 2/3   1 - 2/3 = 1/3   1/10 + 1/15 - 1/x = 1/3   x = 8   Answer:1/3
Answer: B
80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
Choose the correct choice from the following answers
A) 2pie
B) 11pie
C) 178 pie
D) 711 pie
E) 1280 pie

Solution: radius of barrel, R=80   radius of model, r=80/16= 
80/16 = 5
5   surface area of the model=2∗pi∗r(r+h)=80∗pi   which gives h=3 and H=3∗16=48   So, volume of the barrel =pi∗R2∗H=pi∗(80)2∗(48) in cubic inches   178 pieonverting in cubic ft results: volume =pi∗(80)2∗(48)/(12)3=178pi cubic ft approximately   Answer [178 pie]
Answer: C
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream? Pick
A) 12 kmph  B) 13 kmph  C) 14 kmph  D) 15 kmph  E) 16 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 42/3= 
42/3 = 14
14 kmph   ANSWER:14 kmph
Answer: C
What is the units digit of (147^17)^47 ?	Pick one
A) 1 B) 3 C) 5 D) 7 E) 9

Solution: The units digit of the exponents of 7 repeat in a cycle of four, which is {7,9,3,1}. The number 17 has the form 4n+1 so the units digit is 7 inside the bracket. The exponent 47 has the form 4n+3, so the units digit is 3. The answer is 3.
Answer: B
P is three times as old as Q. In 9 years, P will be twice as old as Q. How old was P three years ago? Choose the correct choice from the following options
A) 18
B) 21
C) 24
D) 27
E) 30

Solution: P = 3Q so Q = P/3   P+9 = 2(Q+9) = 2(P/3+9)   P/3 = 9   P = 27   Three years ago, P was 24.   The answer is 24.
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Choose the correct choice from the following choices:  A) 210  B) 220  C) 240  D) 250  E) 260

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m.   Answer: Option 240
Answer: C
On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 36 seconds. If they both start at the same time after how many seconds will they be side by side again.  Choose the correct choice from the following options:
A) 275 B) 325 C) 1980 D) 425 E) None of these

Solution: Time required in seconds will be L1980M ( 36, 55 ) = 1980   Hence, answer will be (1980) 1980
Answer: C
Data sufficiency question:
Is x has only '3' factors? Pick one:
A) 213
B) 278
C) 208
D) 17
E) 101

Solution: Only squares of primes has 3 factors. For example, 4 has three factors. 1, 2, 4.   Now when we square 4, we get 16, which has 5 factors. 1, 2, 4, 8, 16. So Statement 1 is sufficient.   Statement two says that one of the factor must be prime number. 10 has 4 factors. i.e., 1, 2, 5, 10 and one of which is prime. but we cannot say whether numbers of this format always have three factors or not. So statement 2 is insufficient.   Answer:278
Answer: B
Ramesh can finish a work in 15 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?	Choose the correct choice from the following answers
A) 4 days B) 7 days C) 6 days D) 9 days E) 5 days

Solution: (5 + x)/15 + 5/25 = 1 => x =7 days   ANSWER:7 days
Answer: B
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?	Select the correct option:
A) 39:40	B) 39:42	C) 39:19	D) 39:29	E) 39:26

Solution: 3: 4   39:40 = 3/7*210= 
3/7*210 = 90
90   390: 400   39:40   39:40nswer: 39:40
Answer: A
A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer? Select: A) Rs.12000 B) Rs.13000 C) Rs.14000 D) Rs.15000 E) Rs.16000

Solution: Sale according to 5% loss = 1900*25= 
1900*25 = 47_500
47500   original production cost= 47500/1.25= 
47500/1.25 = 38_000
38000   Sale according to 50% loss= 10000* 25 = 25000   so loss = 38000-25000= 
38000-25000 = 13_000
13000   ANSWER:Rs.13000
Answer: B
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?	Select:
A) 145646  B) 236578  C) 645353  D) 456546  E) 220025

Solution: (555 + 445) * 2 * 110 + 25 = 220000 + 25= 
220000 + 25 = 220_025
220025   220025
Answer: E
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent? Choose the most appropriate option
A) 9 B) 8 C) 7 D) 6 E) 5

Solution: (30*30)/100= 
(30*30)/100 = 9
9%loss   9nswer: 9
Answer: A
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Choose the correct choice from the following choices.
A) 2347
B) 1277
C) 2288
D) 1250
E) 7178

Solution: Explanation:   speed = (5x5/18)m/sec   = 25/18 m/sec.   Distance covered in 15 minutes = (25/18 x 15 x 60)m   = 1250 m.   Answer: 1250) 1250
Answer: D
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. The actual diameter of the tissue, in centimeters, is
Choose the correct answer:	A) 0.005	B) 0.002	C) 0.001	D) 0.0003	E) 0.0002

Solution: It is very easy if x is the diameter, then the magnified length is 1000x.   ince 1000x=0.3 then x=0.3/1000=0.0003.   The answer is 0.0003
Answer: D
P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R? Answers:
A) Rs.3000  B) Rs.3600  C) Rs.2400  D) Rs.4000  E) None of these

Solution: Let the amount with R be Rs.r   r = 2/3 (total amount with P and Q)   r = 2/3(6000 - r) => 3r = 12000 - 2r   => 5r = 12000 => r = 2400.   ANSWER:Rs.2400
Answer: C
A 5-letter code word consists of letters A, B, C and D. If the code includes all the gour letters, how many such codes are possible?	Choose the correct choice from the following answers: A) 72 B) 48 C) 36 D) 240 E) 18

Solution: A-ABCD can be arranged in 5!/2!=60 ways;   B-ABCD can be arranged in 5!/2!=60 ways;   C-ABCD can be arranged in 5!/2!=60 ways;   D-ABCD can be arranged in 5!/2!=60 ways;   Total:  60+60+60+60= 
 60+60+60+60 = 240
240.   Answer: 240.
Answer: D
Varma can read a book in k minutes. What part of the book can he read in 4 minutes?(k>8)
Choose the correct choice from the following choices:
A) (k - 8)/k	B) k/8	C) 8 + k	D) k-8	E) 4/k

Solution: Option 4/k   4/kxplanation:   Part of the book he can read in 1 minute = 1/k   Part of the book he can read in 8 minutes =4/k.
Answer: E
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes? Choose the correct choice from the following answers
A) 430 B) 288 C) 761 D) 122 E) 234

Solution: Let the total number of valid votes be x.   70% of x = 70/100 * x = 7x/10   Number of votes secured by the other candidate = x - 7x/100 = 3x/10   Given, 7x/10 - 3x/10 = 172 => 4x/10 = 172   => 4x = 1720 => x = 430.   430nswer:430
Answer: A
A mixture contains milk and water in the ratio 5:4. On adding 30 litters of water, the ratio of milk to water becomes 5:7. Total quantity of milk & water before adding water to it?
Choose the correct choice from the following options:
A) 90 B) 120 C) 80 D) 70 E) 60

Solution: Explanation:   milk: water = 5:4   5x : 4x + 30 = 5 : 7   7[5x] = 5[4x + 30]   35x = 20x + 150   35x - 20x = 150   15x = 150   x = 10   The quantity of milk in the original mixture is = 5 : 4 = 5 + 4= 
5 + 4 = 9
9   9x= 90   Short cut method:   milk:water = 5 : 4   after adding 30 liters of water   milk:water = 5 : 7   milk is same but water increse 30liters then the water ratio is increse 3 parts   3 part -----> 30 liters   The quantity of milk in the original mixture is = 5 : 4 = 5 + 4= 
5 + 4 = 9
9   9 parts -----> 9 liters (90nswer is= 90)   Short cut method - 2 : for Only milk problems   milk : water   5 : 4   5 : 7   milk ratio same but water ratio 3 parts incress per 30 liters   3 part of ratio -------> 30 liters   1 part of ratio -------> 10 liters   9 part of ratio ------> 90 liters   90nswer: Option 90
Answer: A
While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:
The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are to go!
Choose the most appropriate option.
A) 45 Years B) 49 Years C) 41 Years D) 36 Years E) 30 Years

Solution: 45 Years   45 Years
Answer: A
If {h} denote the remainder when 3h is divided by 2 then which of the following is equal to 1 for all positive integers h?
I. {2h+1}
II. {2h}+1
III. 2{h+1}
Choices.
A) I only	B) II only	C) I and II	D) III only	E) II and III

Solution: I and II - I and II   3h/2 = 0 or 1   I just substituted 1 in the equations and solved.
Answer: C
At what price must an article costing Rs.150 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 30% on the cost price?	Choose the correct choice.
A) 62.5  B) 62.0  C) 62.6  D) 216.67  E) 62.2

Solution: CP = 150   SP = 150*(130/100)= 
150*(130/100) = 195
195   MP*(90/100)= 195   MP = 216.67   Answer: 216.67
Answer: D
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 4 KMPH, Find the speed of the boat in still water Answers.
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   20/(B + C) = 1.5 * [20/(B - C)]   Solving B = 5 C   given : C is 4 KMPH   So B is 20 KMPH   20
Answer: D
Set A consists of all the prime numbers between 15 and 36. What is the range of set A? Choose the correct option
A) 12	B) 13	C) 14	D) 17	E) 23

Solution: The range of a set of data is the difference between the highest and lowest values in the set   In this set,   Highest number = 31   Lowest number = 17   Range = Highest - Lowest = 31 - 17= 
31 - 17 = 14
14   Option 14
Answer: C
Peter has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55
How many of each type of coin does she have?	Select:  A) 16  B) 17  C) 18  D) 19  E) 20

Solution: Solution   Let x be the number of quarters. Let 6x be the number of dimes   Since one quarter equals 25 cents, x quarters equals x × 25 cents or 25x cents   Since one dime equals 10 cents, 6x dimes equals 6x × 10 cents or 60x cents   Since one 1 dollar equals 100 cents, 2.55 dollars equals 2.55 × 100 = 255 cents   Putting it all together, 25x cents + 60x cents = 255 cents   85x cents = 255 cents   85x cents / 85 cents = 255 cents / 85 cents   x = 3   6x = 6 × 3 = 18   Therefore Peter has 3 quarters and 18 dimes   Answer 18
Answer: C
If n is an even integer, then which of the following must be an odd integer?  Choose the correct choice from the following answers:
A) 2n B) 3n C) 3n + n^2 + 2 D) n^2 + 1 E) 2n + n^2

Solution: Answer: n^2 + 1   A: 2n = even   B: 3n = even   C: 3n + n^2 + 2 = even   n^2 + 1: n^2 + 1 = odd   E: 2n + n^2 = even   Answer: n^2 + 1
Answer: D
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median E of x, y, and z?
I. 9
II. 10
III. 11  Choose the correct choice from the following answers
A) I only	B) II only	C) III only	D) I and II only	E) I and III only

Solution: Average gives us an idea that 3 nos. are close to 10.   so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.   Let us see options.   If 9 has to be median E.   1st term has to less than 9 or equal to 9. (also maintain z-x = 3)   9 9 12 --> satisfies all conditions so 9 can be a median value.   If 11 has to be a median   3rd term has to be 11 or more than 11. (also maintain z-x = 3)   8 11 11 -->satisfies all conditions so 9 can be a median value.   Now for 10 to be median.   z+ x = 20 and z-x = 3, we wont have integer values of z.   10 cannot be a median   I and III only is the answer.
Answer: E
Three years ago the average age of a family of 4 members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choose the correct answer
A) A)7
B) B)6
C) C)5
D) D)4
E) E)3

Solution: 4 * 22= 
4 * 22 = 88
88   5 * 19= 
5 * 19 = 95
95   --------------   7   7nswer: 7
Answer: A
A car was driving at 50 Km/h for 30 minutes, and then at 90 Km/h for another 40 minutes. What was its average speed?	Choose the correct choice from the following choices:	A) 102	B) 80	C) 75	D) 70	E) 65

Solution: driving at 50 Km/h for 30 minutes ,distance covered = 50*1/2= 
50*1/2 = 25
25 km   driving at 90 km/h for 40 minutes ,distance covered= 90*2/3= 
90*2/3 = 60
60 km   average speed= total distance/total time = 85/5/6 = 102 km/h   102nswer: 102
Answer: A
A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is : Choose one:
A) 25.9%  B) 44.44%  C) 35%  D) 61%  E) None of these

Solution: Well the big cube which has the side built with 6 little cubes (6^3) will haveinsidethe cube which has the side built with 4 little cubes (6-2 edges), so 4^3... Similarly, the cube which has the side built with 4 little cubes (4^3) will haveinsidethe cube which has the side built with 2 little cubes, (4-2 edges), so 2^3... answer is 44.44%
Answer: B
if 40% of (x-y) = 30% of (x+y) then what percent of x is y?
Select the correct option.
A) 2.5%	B) 10%	C) 5%	D) 14%	E) 25%

Solution: 40% of (x-y)=30% of(x+y)   (40/100)(x-y)=(30/100)(x+y)   4(x-y)=3(x+y)   x=7y   x=7y   therefore required percentage   =((y/x) X 100)% = ((y/7y) X 100) =14%   Answer is 14%.
Answer: D
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 10 degrees?	Choose the correct choice from the following answers.
A) π
B) 2π/9
C) 2π
D) 5π/2
E) 8π

Solution: Area = 16π   Radius = 4   Circumference = 2 x 4 x π = 8π   Angle forming the arc = 10 degrees. 10/360 = 1/36.   Therefore length of arc = 1/36 * 8π = 2π/9 - Answer choice 2π/9.
Answer: B
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?	Pick.
A) 3 : 7 B) 5 : 7 C) 7 : 3 D) 7 : 5 E) 7 : 4

Solution: Explanation:   By the rule of alligation:   Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind   Required rate = 3.50 : 1.50 = 7 : 3.   ANSWER IS 7 : 3
Answer: C
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is: Choose the most appropriate option:
A) 0.215
B) 0.512
C) 0.521
D) 0.125
E) 0.152

Solution: Given expression   =(0.1)(power 3) + (0.02)(power 3) /2(power 3) [(0.1)(power 3) + (0.02)(power 3)]   =1/8= 
1/8 = 1/8 = around 0.125
0.125   Answer is 0.125.
Answer: D
A is older than B by 5years. Seven years hence, thrice A's age shall be equal to four times that of B. Find their present ages. Choose the correct choice from the following.
A) 14, 7
B) 10, 5
C) 13, 8
D) 12, 8
E) 8, 12

Solution: Explanation:   Let the present ages of A and B be 'a' and 'b' respectively.   3(a + 7)= 4( (b +7 ) --- (1) =>3a-4b=7 -------(1)   a-b = 5 -------(2) Solving (1) and (2) we get b=8   Substituting b = 8 in second equation, we get a= 13. Answer : C   => 2a = 32 => a = 16.   Answer: 13, 8
Answer: C
365:90::623:?  Pick one.
A) 36	B) 45	C) 123	D) 63	E) none of these

Solution: 365---3*6*5....90   623---6*2*3....36   answer 36
Answer: A