MU-NLPC/Calc-aqua_rat huggingface dataset:
Club X has more than 40 but fewer than 70 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 4 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?	Options.
A) 1.  B) 2.  C) 3.  D) 4.  E) 5.

Solution: The number of members is 4j+3 = 5k+4.   Let's start at 4(10)+3 = 43 and keep adding 4 until we find a number in the form 5k+4.   43, 47, 51, 55, 59 = 5(11) + 4   The club has 59 members.   59/6 = 6(9) + 5   The answer is 5..
Answer: E
Set #1 = {E, F, G, H, I}
Set #2 = {Q, R, S, T, U, V}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? Choose the correct choice from the following answers:
A) 1/3 B) 1/2 C) 1/6 D) 1/5 E) 1/4

Solution: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 3/5 and set 2 is 5/6. Multiply these to get 1/2. Therefore, probability of picking at least one vowel = 1-1/2=1/2.   1/2
Answer: B
Find out the wrong number in the series.
6, 12, 48, 106, 384, 768, 3072  Pick one.
A) 768 B) 384 C) 106 D) 488 E) 12

Solution: Each even term of the series is obtained by multiplying the previous term by 2.   2nd term = (1st term) x 2 = 6 x 2 = 12   4th term = (3rd term) x 2 = 48 x 2 = 96.   6th term = (5th term) x 2 = 384 x 2 =768.   4th term should be 96 instead of 106.   ANSWER:106
Answer: C
Sam deposited $200 into a savings account that earned 2% interest per year. How much money did he have after 2.5 years? Choose one
A) $180 B) $190 C) $200 D) $210 E) $240

Solution: 200 x 0.020 x 2.5 = $10.00   $200.00 + $10.00 = $210.00   answer :$210  200.00 +  10.00= 
 200.00 +  10.00 = 210
$210.00   answer :$210= $210.00
Answer: D
Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?  Answers.
A) 30	B) 60	C) 90	D) 180	E) 540

Solution: Ways of selecting group = 6902 * 4902 * 2902 / 3! = 15   Three groups can select three subjects in 6 ways   Therefore total combinations = 15*6= 
15*6 = 90
90   ANSWER:90
Answer: C
The compound ratio of 1:2, 3:2 and 4:5?	Choose the correct choice.
A) 1:9
B) 1:7
C) 1:2
D) 3:5
E) 1:4

Solution: 1/2 * 3/2 * 4/5   = 3/5   =3:5   Answer: 3:5
Answer: D
For all integers a and b, a%b = (a + b)(a - b). If 10%x = 19, then which of the following could be a value of x?
Pick one:
A) -9
B) -8
C) 2
D) 3
E) 6

Solution: 10%x = (10+x)(10-x)   100-x^2 = 19   x^2 = 81   x=-9,9   -9ns: -9
Answer: A
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?	Choose the correct choice from the following options.
A) 28.9	B) 28.7	C) 28.2	D) 28.8	E) 28.1

Solution: Present age of the son be P, he was born P years ago.   The age of the man was: (48 - P).   His age when the son was born should be equal to 2/3 of P.   (48 - P) = 2/3 P   5P = 144 => P = 28.8.Answer: 28.8
Answer: D
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 320 vote’s majority. What is the total number of votes polled?	Pick
A) 750	B) 700	C) 800	D) 850	E) None of these

Solution: Explanation:   Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)   40 % = 70 % - 30 %   40% -----> 320 (40*8 = 320)   100% -----> 800 (100*8 = 800)   Answer: Option 800
Answer: C
According to a recent survey report issued by the Commerce Ministry, Government of India, 30% of the total FDI goes to Gujarat and 20% of this goes to rural areas. If the FDI in Gujarat, which goes to urban areas, is $72 m, then find the size of FDI in rural Andhra Pradesh, which attracts 50% of the FDI that comes to Andhra Pradesh, which accounts For 20% of the total FDI? Choose the most appropriate option
A) 30m  B) 40m  C) 35m  D) 38m  E) 50m

Solution: 30% of total FDI given to Gujarat is $90m.   so,100% is $300m.   20%of 300m=60m.   50%of 60m=30m.   30mNSWER:30m
Answer: A
How many of the factors of 1000 are divisible by 2? Choose the correct choice from the following answers.
A) 5
B) 6
C) 8
D) 12
E) 15

Solution: 1000 = 2^3*5^3   The total number of factors is (3+1)(3+1) = 16   The odd factors are 1, 5, 25, and 125.   The number of even factors is 16-4= 
16-4 = 12
12   The answer is 12.
Answer: D
The average of 11 numbers is 22. Average of the first 6 of them is 19 and that of the last 6 is 27. Find the 6th number?	Options.
A) 12	B) 25	C) 34	D) 29	E) 27

Solution: Sum of all the 11 numbers = 11 * 22= 
11 * 22 = 242
242Sum of the first 6 of them= 6 * 19= 
6 * 19 = 114
114Sum of the last 6 of them= 6 * 27= 
6 * 27 = 162
162So, the 8th number= 242 + 114 - 162= 34.Answer: 34
Answer: C
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2016) = ? Choose one:
A) 2017
B) 2088
C) 270
D) 1881
E) 1781

Solution: f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1= 
3-1 = 2
2, f(1)= 2   f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2)  ( (1)) +  (1)= 
 ( (1)) +  (1) = 2
2(1) + 3 ⇒⇒ f(2)= 5-2= 
5-2 = 3
3, f(2)= 3   f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3= 
7-3 = 4
4, f(3)= 4   ..............   f(2016) = 2017   2017ns: 2017
Answer: A
What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choose the correct choice from the following options
A) Rs. 2.04
B) Rs. 2.02
C) Rs. 2.10
D) Rs. 2.11
E) Rs. 2.21

Solution: Explanation:   C.I. when interest is compounded yearly   = [5000 * (1 + 4/100) * (1 + (1/2 * 4)/100]   = 5000 * 26/25 * 51/50 = Rs. 5304   C.I. when interest is compounded half-yearly   = [5000 * (1 + 2/100)2]   = (5000 * 51/50 * 51/50 * 51/50) = Rs. 5306.04 Difference = (5306.04 - 5304) = Rs. 2.04.   Rs. 2.04nswer: Rs. 2.04
Answer: A
There are 4 copies of 5 different jeans. In how many ways can they be arranged on a shelf? Choose one:
A) 20!/4!  B) 20!/5(4!)  C) 20!/(4!)^5  D) 20!  E) 5!

Solution: There are 4 copies of 5 different jeans.20!/((4!)^5)   Answer - 20!/(4!)^5
Answer: C
What will be the compound interest on a sum of Rs. 24,000 after 3 years at the rate of 12% p.a.?	Pick:  A) Rs. 9718.27  B) Rs. 9750  C) Rs. 10123.20  D) Rs. 10483.20  E) None

Solution: Amount = [24000 * (1 + 12/100)3]   = 24000 * 28/25 * 28/25 * 28/25 = Rs. 33718.27   C.I. = (33718.27 - 24000) = Rs. 9718.27   Rs. 9718.27NSWER:Rs. 9718.27
Answer: A
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 30 different models of televisions, what is the minimum number of letters that must be used to make the codes?	Options.
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: If n is the number of distinct letters used to create the two lettered codes, then a total of n∗n=n^2 different codes can be created. We need n2≥30. The smallest n which fulfills this condition is n = 6.   6nswer 6
Answer: A
The approximation of √0.8-√0.1 is between? Choose the correct choice from the following.
A) 1/5 and 1/4 B) 1/4 and 1/3 C) 1/3 and 1/2 D) 1/2 and 2/3 E) 2/3 and 1

Solution: √(0.8 )– √0.1   Let’s square this expression: 0.8 + 2√0.08 + 0.1 = 9/10+(4√2)/10   √2 is approximately 1.4 and we have (9-5,6)/10=3,4/10=34/100   Now take root of this: √(34/100)   √34 is close to 6 and our expression lies between 1/2 and 3/5= 
3/5 = 3/5 = around 0.6
0.6 < 2/3 (0.66666…)   Answer 1/2 and 2/3
Answer: D
A group of 5 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the four other students from the group?
Answers
A) 5%
B) 10%
C) 15%
D) 20%
E) 25%

Solution: Bob and Lisa are students too. Given the above conditions, there are 2 possible seating arrangments:   scenario 1: LXXXB or   scenario 2: BXXXL   there are 5(4)3(2)1 = 120 total seating arrangements. in scenario 1, bob must be seated on the far right and lisa on the far left. this leaves 6 different possible seating arrangements among the other 3 students: 3(2)1 = 6. 6/120 = 1/20.   the prob of scenario 2 happening is also 1/20. either scenario 1 or 2 will occur so we sum the probs of 1 or 2 happening, 1/20 + 1/20 + 2/20 = 1/10 = .10.   answer is 10%.
Answer: B
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3000, A will get:
Choose the correct answer
A) Rs.1200  B) Rs.1500  C) Rs. 1800  D) Rs.2000  E) None of these

Solution: Explanation:   Ratio of working days of A : B = 10 : 15   Therefore, their wages ratio = reverse ratio = 15 : 10   Therefore, A will get 15 units of ratio   Total ratio = 25   1 unit of ratio =3000/25= 
3000/25 = 120
120   So, A’s amount= 120 × 15 = Rs.1800.   Answer: Option Rs. 1800
Answer: C
A carnival card game gives the contestant a one in three probability of successfully choosing the right card and thereby winning the game. If a contestant plays the game repeatedly, what is the minimum number of times that he must play the game so that the probability that he never loses is less than 1%?	Choose the correct choice from the following choices.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Probability of Choosing Right card hence winning = 1/3   i.e. Probability of NOT Choosing Right card hence Losing = 2/3   We want that the probability that he never loses should be < 1%   i.e. We want that the probability that he never loses should be < 1/100   The probability of him losing can be calculated by taking the case that the right card is never picked   i.e. Probability of first card being the Right card = (1/3)   i.e. Probability of first as well as second card NOT being the Right card = (1/3)*(1/3)   i.e. i.e. Probability of all n attempts being the Right card (i.e. Never Losing) = (1/3)^n   and (1/3)^n<1/100   But(1/3)^4=1/81   And (1/3)^5=1/243   i.e. (1/3)^5<1/100   i.e. Minimum value of 'n' can be = 5   Answer:5
Answer: C
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:  Choose the correct option.
A) 240
B) 120
C) 300
D) 160
E) 270

Solution: Let C's share = Rs. x   Then, B's share = Rs.	x/4,   A's share = Rs.(2/3)	x (x/4)= Rs.x/6   (x/6)	+(x/4)+ x = 1360   17x/12= 1360   x =1360 x (12/17)= Rs. 960   Hence, B's share = Rs.960/4= Rs. 240.   240nswer is 240.
Answer: A
Combine terms: 5a + 26b -4b – 16a. Choose one.
A) 4a + 22b  B) -28a + 30b  C) -11a + 22b  D) 28a + 30b  E) 5a + 30b

Solution: Solution:   5a + 26b -4b – 16a.   = 5a – 16a + 26b – 4b.   = -11a + 22b.   Answer: (-11a + 22b)
Answer: C
Mohit sold an article for Rs. 18000. Had he offered a discount of 13% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Pick one: A) 14500 B) 27767 C) 16688 D) 26678 E) 19987

Solution: Let the CP be Rs. x.   Had he offered 13% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 13/100(18000) = Rs. 15660   => 1.08x = 15660   => x = 14500   \14500nswer: 14500
Answer: A
If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choose the correct answer
A) -42 < xy < 30  B) -42 < xy < 24  C) -28 < xy < 18  D) -24 < xy < 21  E) -24 < xy < 24

Solution: The least value of xy is a bit more than 7*(-6)=-42 and the largest value of xy is a bit less than (-5)*(-6)= 
(-5)*(-6) = 30
30.   Therefore -42 < xy < 30.   -42 < xy < 30nswer: -42 < xy < 30.
Answer: A
To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of R dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid? Options:  A) R/T  B) R/(T-S)  C) SR/(T-S)  D) SR/T(T-S)  E) R(T-S)/T

Solution: Since no absolute values are given in the question we can replace the given parameters with assumed numbers,   Let Total colleagues be 100 (T)   Let total contribution be 500 (R) (point to note is that its total cost not per person)   Those who dont pay are S (30)   Per person cost = R/T = 800/100= 
800/100 = 8
8   So cost for those who failed to pay= (R/T) * S = SR/T = 30*8= 
30*8 = 240
240   The equation for people who would bear the total cost after S people fail= (T-S)=70   There fore the solution is (SR/T)/ (T-S) = SR/T(T-S) = 240/70   Answer SR/T(T-S)   Hope this helps !!!
Answer: D
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?	Choose the correct choice
A) 79.5 B) 79.0 C) 79.3 D) 79.2 E) 79.1

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 264)/20 = y   y = 22   Speed = 22 m/sec = 22 * 18/5= 
22 * 18/5 = 396/5 = around 79.2
79.2 km/hr.Answer:79.2
Answer: D
Set A consists of the integers from 4 to 15, inclusive, while set B consists of the integers from 6 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?	Choose one.
A) 5	B) 7	C) 8	D) 9	E) 10

Solution: A={4,5,6,7,8,9,10,11,12,13,14,15}   B={6,7,8,9,10,11,12...20}   Thus we see that there are 10 distinct integers that are common to both. 10 is the correct answer.
Answer: E
To save money, Arkadelphia ice cream will reduce each dimension of its rectangular box container (which is entirely full of ce cream) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for ce cream? Choose the correct choice from the following choices:
A) 1. No change	B) 2. 50%	C) 3. 300%	D) 4. 400%	E) 5. 450%

Solution: If the current volume is L * W * H, then the new volume is 12 (L) * 12 (W) * 12 (H), or 18 * LWH. So the new portion is 1/8 the size of the old portion. But the new cost is only ½ the cost, meaning that if the old price-per-unit was 1:1, now it’s 12 : 18, or 4:1. So the consumer is paying 400% of what it used to, or 300% more than it used to. The answer is therefore 3. 300%.
Answer: C
A is two years older than B who is twice as old as C.If the total ages of A,B and c be 27 . what is the age of B?  Choose the most appropriate option:
A) 12 years	B) 10 years	C) 8 years	D) 14 years	E) 16 years

Solution: c age x,   then b age is 2x   so a age is 2x+2.   (2x+2)+2x+x=27   5x=25   x=5   so b is 2x=2(5)   2x5= 10 ANSWER : 10 years
Answer: B
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 36 per kg. His profit percent is:  Choose the correct answer
A) No profit, no loss  B) 26%  C) 8%  D) 10%  E) None of these

Solution: Explanation :   C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.   S.P. of 56 kg rice = (56 * 36) Rs. = 2016 Rs.   Profit % = (2016−1600/1600∗100)% = 26%   Answer : 26%
Answer: B
If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 15 km more. The actual distance traveled by him is?
Select the correct option: A) 30 B) 50 C) 15 D) 12 E) 20

Solution: Let the actual distance traveled be x km. Then,   x/10 = (x + 15)/15   x - 30=>x = 30km.   30nswer: 30
Answer: A
Let d > c >e > a. If c is twice as far from a as it is from d, and e is twice as far from c as it is from a, then (d - e)/(d - a) = ?
Choose the correct choice from the following answers
A) 2/9  B) 1/3  C) 2/3  D) 7/9  E) 3/2

Solution: Draw a number line and label with x and y. You would have:   Before calculating recognize it would be more effcient to express x or y in terms of the other. here 2x = 3y so x =3/2 y.   Now you can calculate d -e and d -a   d - e= x +2y = 7/2 y   d - a = x + 2x = 3x = 9/2y   7/9ividing both you get: 7/9   Answer 7/9
Answer: D
Rs. 1400 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/3:1/3:1/6?	Choose the correct choice from the following options.
A) 300	B) 992	C) 772	D) 552	E) 280

Solution: 1/3:1/3:1/6 = 2:2:1   1/5*1400= 
1/5*1400 = 280
280   560-280= 
560-280 = 280
280   Answer: 280
Answer: E
When a number is divided by 6 &then multiply by 12 the answer is 8 what is the no.?
Choose the correct choice from the following options.
A) 4.5 B) 5 C) 5.5 D) 5.8 E) 4

Solution: if $x$ is the number, x/6 * 12 = 8   => 2x = 8   => x = 4.0   4
Answer: E
Amy has two decks of 55 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?  Select the correct option:  A) 1/6  B) 1/8  C) 1/9  D) 1/10  E) 1/11

Solution: Your solution is correct answer should be 1/11.   1/11
Answer: E
2 cow’s and 5 goats are brought for Rs.1050. If the average price of a goat be Rs.90. What is the average price of a cow.
Select the correct option.
A) 300 B) 320 C) 330 D) 350 E) 375

Solution: Explanation:   Average price of a goat = Rs.90   total price of 5 goats = 5*90 = Rs.450   But total price of 2 cows and 5 goats = Rs. 1050   Total price of 2 cows is = 1050 - 450= 
1050 - 450 = 600
600   Average price of a cow= 600/2   = Rs. 300   300nswer: 300
Answer: A
How many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition is allowed?	Choose one
A) 511 B) 519 C) 515 D) 512 E) 513

Solution: By divisibility rule of 4(Click here to know about the rule of divisibility ) only 12,24,32,44,52 are the numbers from 1 to 5 are divisible by 4.   So the remaining 11 digits can be any number from 1 to 5. So 511   Since there are 5 set of numbers we will get 5* 511 = 512 numbers divisible by 4.   Answer 512
Answer: D
What is the maximum number W of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Choose the correct answer
A) 36 B) 32 C) 24 D) 21 E) 15

Solution: 27 cubic centimetre cubes gives side = 3cm   so if:   L*W*H is 9*12*8, then max. cube we can have are  3*4*2= 
 3*4*2 = 24
24   L*W*H is 9*8*12, then max. cube we can have are  3*2*4= 
 3*2*4 = 24
24   L*W*H is 12*8*9, then max. cube we can have are  4*2*3= 
 4*2*3 = 24
24   L*W*H is 12*9*8, then max. cube we can have are  4*3*2= 
 4*3*2 = 24
24   L*W*H is 8*12*9, then max. cube we can have are  2*4*3= 
 2*4*3 = 24
24   L*W*H is 8*9*12, then max. cube we can have are  2*3*4= 
 2*3*4 = 24
24   In all cases we get W=24 cubes.   Ans. 24
Answer: C
A man swims downstream 54 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?  Select:  A) 2  B) 8  C) 9  D) 10  E) 12

Solution: 54 --- 3 DS = 18   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (18 + 6)/2= 
(18 + 6)/2 = 12
12   Answer: 12
Answer: E
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is?  Options
A) 6300  B) 6325  C) 6330  D) 6334  E) 6336

Solution: Divisor = (5 * 50)= 
(5 * 50) = 250
250= 10 * Quotient = Divisor   => Quotient = 250/10= 
250/10 = 25
25   Dividend= (Divisor * Quotient) + Remainder   Dividend = (250 * 25) + 50= 6330   6300
Answer: A
At Joes Steakhouse the hourly wage for a chef is 25% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?	Choose the correct choice from the following.
A) $1.40	B) $2.40	C) $3.40	D) $3.19	E) $5.40

Solution: Manager wages per hour = $8.50   Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25   Chef wages per hour = 25% greater than $3.19ishwasher wages   --> 25% of $4.25 = (25*($4.25)) /100   --> ($106.25)/100   --> $1.06   Therefore,   Chef wages per hour = $4.25 + $1.06 ==> $5.31   $3.19ifference of wages between manager and chef = $8.50 - $5.31 ==> $3.19   ANSWER:$3.19
Answer: D
The dimensions of a field are 20 m by 10 m. A pit 8 m long, 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
Choose the correct choice from the following choices:
A) 1 m
B) 2 m
C) 0.5 m
D) 0.75 m
E) 1.5 m

Solution: The volume of the earth removed is 8*5*2= 
8*5*2 = 80
80 m^3.   The remaining area of the field is   20*10 - 8*5= 
  20*10 - 8*5 = 160
160 m^2.   80 m^3 of the earth evenly spread over the area of 160 m^2 will rise the height by (height)= (volume)/(area) = 80/160= 
80/160 = 1/2 = around 0.5
0.5 m.   Answer: 0.5 m
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days then the fraction of the work that is left is? Pick:
A) 1/4	B) 1/10	C) 7/15	D) 8/15	E) 9/13

Solution: Explanation:   A’s one day work = 1/15   B’s one day work = 1/20   (A+B )’s one day work is = 1/15 +1/20 = 7/60   their 4 days work = 4 x 7/60 = 7/15   Remaining work = 8/15   Answer: Option 8/15
Answer: D
The number 500 can be written as the sum of the squares of 2 different positive integers. What is the difference of these 2 integers?  Options:	A) 17	B) 16	C) 15	D) 18	E) 13

Solution: 22^2 + 4^2 = 500 --> 22 - 4 = 18.   18
Answer: D
What is the difference between the local value of 3 and 9 in the number 23974?	Choose the correct choice from the following answers:
A) 430	B) 377	C) 288	D) 277	E) 210

Solution: 210xplanation:   300 â€“ 90 = 210   Answer: 210
Answer: E
In one day, Juan sends Keith eight times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan?  Select the correct option:  A) 13  B) 26  C) 32  D) 48  E) 56

Solution: Juan --> Laurence = x messages;   Juan --> Keith = 8x messages (Juan sends Keith eight times as many messages as he sends Laurence);   Laurence --> Missy = 4.5x =18 (Laurence sends Missy 4.5 times as many messages as he receives from Juan).   4.5x =18 --> x = 4 --> 8x = 32.   Answer: 32.
Answer: C
Two trains leave the same train station at 6:00 am and 7:15 am and they travel at 100 kph and 125 kph respectively. How many kilometers from the train station will the two trains be together?	Select:
A) 525
B) 550
C) 575
D) 600
E) 625

Solution: At 7:15, the first train is 125 km ahead.   The second train gains 25 km each hour.   The time it takes the second train to catch the first train is 125 / 25= 
125 / 25 = 5
5 hours.   In this time, the second train travels   5*125= 
  5*125 = 625
625 km.   The answer is 625.
Answer: E
David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction?  Pick one
A) Rs. 187.50	B) Rs. 147.50	C) Rs. 137.50	D) Rs. 127.50	E) Rs. 107.50

Solution: Cost of Ghee = 10*200+ 30*100 /40 =5000/40= 
5000/40 = 125
125   10% of 125= 12.50   S.P. should be = 125+12.5= Rs. 137.50/ kg   Answer : Rs. 137.50
Answer: C
An athlete runs 200 metres race in 24 seconds. His speed is :	Choose the correct option
A) 20 km/hr B) 24 km/hr C) 28.5 km/hr D) 30 km/hr E) None of these

Solution: Speed = 200/24 m/sec=25/3 m/sec=(25/3*18/5)km/hr=30 km/hr.   Correct Option: 30 km/hr
Answer: D
On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the
rate of interest being the same in both cases.  Choose the correct answer:	A) 8%	B) 9%	C) 10%	D) 11%	E) None of these

Solution: Explanation:   Difference between C.I and S.I for 2 years = 36.30   S.I. for one year = 330.   S.I. on Rs 330 for one year = 36.30   So R% = \frac{100*36.30}{330*1} = 11%   Answer: 11%
Answer: D