MU-NLPC/Calc-aqua_rat huggingface dataset:
If the first 200 numbers are written down and those divisible by 2 are deleted and again those divisible by 5 are deleted, how many numbers are left out ?  Choose the correct choice from the following:	A) 80	B) 150	C) 200	D) 160	E) None

Solution: Total numbers divisible by 2 = 100   Total numbers divisible by 5 = 40   But there is double counting. So we have to subtract Total numbers which are divisible by both 2 and 5 i.e, 200 / 10 = 20   So Total numbers which are divisible by either 2 or 5 is  100 + 40 - 20= 
 100 + 40 - 20 = 120
120   Number of numbers which are not divisible by any of those= 200 - 120= 
200 - 120 = 80
80   Correct Option: 80
Answer: A
On dividing 127 by a number, the quotient is 9 and the remainder is 1. Find the divisor. Select the correct option:
A) A)12
B) B)14
C) C)16
D) D)18
E) E)22

Solution: d = (D-R)/Q   = (127 - 1)/9   = 126/9= 
126/9 = 14
14   14)
Answer: B
A feed store sells two varieties of birdseed: Brand A, which is 65% millet and 35% sunflower, and Brand B, which is 40% millet and 60% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?	Choose the correct choice:  A) 40%  B) 45%  C) 50 %  D) 60 %  E) 55 %

Solution: Yes there is a simple method :   Consider the following method   Brand A : 65% millet and 35% sunflower   Brand B : 40% millet and 60% safflower   Mix : 50% millet   Here the weighted average is 50%,   Now Brand A has 65% millet, which is 15% more than the weighted average of mix = + 0.15 A --------------- I   Similarly, Brand B has 40 % millet, which is 10 % less than the weighted average of mix = - 0.10B ------------ II   Now, both Brand A and Brand B are combined to give a 50% mix containing millet, so equate I and II   implies, 0.15 A = 0.10 B   Therefore A/B = 0.10/0.15 = 2/3   A : B : (A + B) = 2 : 3 : (3+2) = 2 : 3 : 5   We have to find, percent of the mix is Brand A i.e. 40% : (40% + B) = 2 : 5 = (2 / 5) * 100= 
(2 / 5) * 100 = 40
40 %   Here is a pictorial representation :   Brand 40%= 65%------------------------15% or 0.15 above average, 40% times-----------------Total below = + 0.15 40%   ----------------------------------------------------------------------------------------40%verage = 50% or 0.50   Brand B = 40%--------------------------10% or 0.10 below average, B times-----------------Total above = - 0.10 B   Since the amount below the average has to equal the average above the average; therefore,   0.15 40% = 0.10 B   40%/B = 2/3   40%:B: Total = 2:3:5   Therefore   40%/Total = 2:5 = 40 %
Answer: A
How much is 35% of 40 is greater than 4/5 of 25? Options: A) 29 B) 776 C) 66 D) 14 E) 99

Solution: (80/100) * 40 – (4/5) * 25   35 - 20 = 14   Answer: 14
Answer: D
A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
Choose the correct choice from the following choices:
A) 7.99  B) 7.98  C) 7.91  D) 7.92  E) 7.9

Solution: Explanation:   Total quantity of petrol consumed in 3 years = liters   = liters   = liters   Total amount spent = Rs. (3 x 4000) = Rs. 12000.   Average cost = Rs. = Rs. 7.98.   Answer: 7.98) 7.98
Answer: B
A publisher sells cipies of a book retail dealer at 5 Rs.per copy.but allow 25 copies to be countes as 24.if the retailer sells each of the 25 copies at Rs.6.his profit percentage  Pick:
A) 20%
B) 25%
C) 15%
D) 35%
E) 45%

Solution: CP of 25 copies = 24 * 5= 
24 * 5 = 120
120 (25 copies to be counts as 24)   SP of 25 copies= 25*6= 
25*6 = 150
150   Profit= 150 - 120= 
150 - 120 = 30
30   Profit %= (30/120) * 100= 
(30/120) * 100 = 25
25%   ANSWER:25%
Answer: B
A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? Choose one.
A) 15 min
B) 20 min
C) 27.5 min
D) 30 min
E) None

Solution: Solution   Part filled by (A + B) in 1 minute	= (1/60 + 1/40)   = 1/24.   Suppose the tank is filled in x minutes.   = 4/8.   Then,   ‹=›x/2(1/24 + 1/40) = 1   ‹=› x/2×1/15 = 1   x= 30 min.   Answer 30 min
Answer: D
If x^2 > x^3 > x^1, which of the following could NOT be the value of x?  Choices:
A) -0.5
B) -1.2
C) -1/5
D) -2/3
E) -0.1

Solution: x^2 > x^3 > x^1   1)Here we have an even power of a variable (x) that is greater than both a larger odd power of the variable x and a smaller odd power of the variable x.   This can be possible only if the base is negative; therefore, the variable, x, must be a negative number.   2) Now if the variable x is negative, the higher power results in a smaller number if x<-1, and a higher power results in a larger number if 0>x>-1.   With this information, we know that x is a negative number less than -1; therefore, -1.2 (-1.2) is the only option that does not fall within this category.
Answer: B
Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 12 songs, what are the chances that the third song he hears will be his favorite?	Choose the correct choice from the following answers:
A) 1/12	B) 1/13	C) 1/11	D) 3/14	E) 1/3

Solution: The player plays the songs on the album at random, so there are 12 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.   Total outcomes ==> 12   Total positive outcomes ==> 1   Correct answer is 1/12) 1/12
Answer: A
A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 80 km/hr. What is the speed of the car in the second half of the trip? Choose the correct choice from the following choices:  A) 40  B) 42  C) 45  D) 48  E) 50

Solution: Let D be the distance and let V be the speed in the second half.   The total time = T1 + T2   48/60 = 48/160 + (48/2) / V   848/480 - 348/480 = (48/2) / V   48/96 = 48/2V and so V = 48 km/hr   The answer is 48.
Answer: D
The perimeter of a rectangular yard is completely surrounded by a fence that measures 10 meters. What is the length of the yard if the area of the yard is 6 meters squared?
Choose the correct choice from the following: A) 8 B) 1 C) 5 D) 7 E) 3

Solution: Perimeter of rectangular yard = 2(l + b) = 10 --> l + b = 5   Area = l * b = 6   b = 5 - l   l(5 - l) = 6   5l - l^2 = 6   l^2 - 5l + 6 = 0   Upon simplifying we get l = 2 or 3. Only 3 is there in the answer choice.   Answer: 3
Answer: E
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?  Choose the correct choice from the following answers:
A) 4/21
B) 2/13
C) 5/26
D) 5/27
E) 4/27

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
XXX can do piece of work in 30 days while YYY alone can do it in 40 days. In how many days can XXX and YYY working together do it?
Choose the correct answer
A) 17 1/7
B) 15 1/7
C) 20 1/7
D) 22 1/7
E) 13 1/7

Solution: XXX one day worl = 1/30   YYY one day work = 1/40   (xxx + yyy) one day work = 1/30+1/40   ==>7/20   No of days req for XXX and YYY to finish the work = 1/7/120 = 17 1/7 days   17 1/7NSWER 17 1/7
Answer: A
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?	Choose one:
A) 87
B) 42
C) 78
D) 76
E) 26

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 4200   600x = 4200   x = 7 => 6x =42   Answer: 42
Answer: B
Three distinct single-digit numbers. A,B,C are in GP. If abs(x) for real x is the absolute value of x(x if x is +ve or 0 and -x if x is -ve), then the number of different possible values of abs(A+B+C) is Select the correct option
A) 5 B) 6 C) 3 D) 4 E) 7

Solution: A,B,C may be   (1,2,4) & (4,2,1)   (1,3,9) & (9,3,1)   (2,4,8) & (8,4,2)   (4,6,9) & (9,6,4)   find abs(A+B+C) for these 8 GPs   7,13,15,19   So,we get 4 different values   ANSWER:4
Answer: D
If a train, travelling at a speed of 90 kmph, crosses a pole in 6 sec, then the length of train is?	Pick one
A) 281 m
B) 112 m
C) 117 m
D) 125 m
E) 150 m

Solution: 150 m   150 m = 90 * 5/18 * 6= 
90 * 5/18 * 6 = 150
150 m
Answer: E
we have 5 weights one of 2 kg one of 3 kg one of 5 kg one of 10 kg one of 50 kg by using only three weight how many weight u can weight	Choose the correct choice from the following
A) 12
B) 16
C) 15
D) 10
E) 8

Solution: select 3 weight out of 5, 5C3=10   ANSWER:10
Answer: D
Find a sum for first 8 prime no's from number series?  Choose the correct choice from the following choices:
A) 77
B) 79
C) 89
D) 34
E) 36

Solution: Required sum = (2+ 3+ 5+ 7+11+ 13+17+ 19)= 
(2+ 3+ 5+ 7+11+ 13+17+ 19) = 77
77   Note: 1 is not a prime number   Option 77
Answer: A
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.81. How much was lent at 5%?
Choose the most appropriate option:
A) 299	B) 666	C) 778	D) 900	E) 977

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 81   5x/100 + 90 – 6x/100 = 81   x/100 = 9   => x = 900   Answer:900
Answer: D
5 + 5 + 5 + 2 × 5^2 + 2 × 5^3 + 2 × 5^4 + 2 × 5^5 + 2 × 5^6 + 2 × 5^7 =
Pick:
A) 5^9
B) 5^7
C) 5^10
D) 5^8
E) 5^11

Solution: We have the sum of 9 terms. Now, if all terms were equal to the largest term 2*5^7 we would have: sum=9*(2*5^7)=18*5^7=~5^9, so the actual sum is less than 5^9 and more than 5^7 (option B) as the last term is already more than that. So the answer is clearly D.   Answer: 5^8
Answer: D
Kim has 3 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?  Select the correct option:  A) 2/5  B) 1/5  C) 1/9  D) 1/10  E) 1/25

Solution: Total pairs = 6C2 = 15; Same Color Pairs= 3C1*1C1=3; Prob = 1/5   Ans 1/5
Answer: B
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?  Choose the correct option:	A) 3.6	B) 7.2	C) 8.4	D) 10	E) None of these

Solution: Speed=(600/5*60)m/sec=2 m/sec=(2*18/5)km/hr=7.2km/hr.   Correct Option: 7.2
Answer: B
90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choose the correct choice from the following answers:	A) 66	B) 35	C) 42	D) 27	E) 11

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 90 = 35   Answer: 35
Answer: B
Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of the new sphere will be	Pick.
A) 4920 cm2  B) 4727 cm2  C) 9856 cm2  D) 19712 cm2  E) None

Solution: Sol.   Let the original radius be r.   Then, original surface area = 4Πr2 = 2464 cm2(given).   New radius = 2r.   ∴ New surface area = 4Π (2r)2   = 4 x 4Πr2   = (4x2464) cm2   = 9856 cm2   Answer 9856 cm2
Answer: C
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?  Choose the correct choice from the following
A) 81 : 121  B) 81 : 126  C) 81 : 120  D) 81 : 128  E) 81 : 122

Solution: Ratio of the sides = ³√729 : ³√1331 = 9 : 11   Ratio of surface areas = 92 : 112 = 81 : 121   81 : 121nswer: 81 : 121
Answer: A
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choose the correct choice.
A) 3  B) 4  C) 5  D) 6  E) 8

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer: 3
Answer: A
Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Select.
A) 16 B) 77 C) 88 D) 55 E) 41

Solution: 4/18 + (x -7)/27 + x/36 = 1   x = 16 days   16nswer: 16
Answer: A
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, x Choose the correct answer:
A) 8 B) 3 C) 4 D) 5 E) 6

Solution: 46080 /12= 
46080 /12 = 3_840
3840   3840 /10= 
3840 /10 = 384
384   384 /8= 
384 /8 = 48
48   48 /6= 
48 /6 = 8
8   8
Answer: A
How many seconds will a 400 m 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 answer.
A) 20
B) 30
C) 40
D) 24
E) 60

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 400 * 3/50= 
400 * 3/50 = 24
24 sec.   Answer: Option 24
Answer: D
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?  Select:
A) 30/17 hours  B) 30/15 hours  C) 36/13 hours  D) 30/13 hours  E) 80/13 hours

Solution: Speed downstream   = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 60 km downstream= d/s = 60/26   = 30/13 hours.   Answer: 30/13 hours
Answer: D
Of the 28 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices
A) 341  B) 441  C) 641  D) 941  E) 201

Solution: M under 18 - 7   F above 18 - 7   How many distinct groups can be formed now: 7c2 * 7c2 = 441   Answer : 441
Answer: B
Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?	Answers:  A) 3x2 + 5x - 2 = 0  B) 3x2 + 5x + 2 = 0  C) 3x2 - 5x + 2 = 0  D) 3x2 - 5x - 2 = 0  E) None of these

Solution: The quadratic equation whose roots are reciprocal of 2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.   Hence, 2(1/x)2 + 5(1/x) + 3 = 0   => 3x2 + 5x + 2 = 0   ANSWER:3x2 + 5x + 2 = 0
Answer: B
A train covers a distance of 100km in 1 hour. If its speed is decreased by 20km/hr, the time taken by the car to cover the same distance will be?
Choose the correct choice from the following:
A) 1hr	B) 1hr 15min	C) 50min	D) 1hr 30min	E) 1hr 45min

Solution: Speed = 100/1= 
100/1 = 100
100km/hr   New speed= 100-20= 
100-20 = 80
80 km/hr   Time taken= 100/80 = 1hr 15min   Answer is 1hr 15min
Answer: B
Ram completes a piece of work in 15 days, Raja completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is? Choose the correct choice from the following answers:	A) 6 days	B) 8 days	C) 10 days	D) 8.57 days	E) 14 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 = 15 × 20/35 = 8.57 days   Answer : 8.57 days
Answer: D
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?  Choose the most appropriate option
A) 10 B) 100 C) 1000 D) 10000 E) 102

Solution: Along one edge, the number of small cubes that can be cut   = 100/10= 
100/10 = 10
10   Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut= 10 * 10 * 10= 
10 * 10 * 10 = 1_000
1000   Answer: Option 1000
Answer: C
Four 6 faced dice are thrown together. The probability that all the four show the same number on them is ? Choose the most appropriate option.
A) 1/248 B) 1/216 C) 1/144 D) 1/200 E) 1/242

Solution: It all 4 numbers have to be same basically we want quadruplets. 1111, 2222, 3333, 4444, 5555 and 6666. Those are six in number. Further the four dice can fall in   6 * 6 * 6 * 6= 
  6 * 6 * 6 * 6 = 1_296
1296 ways.   Hence the probability is 6/1296= 1/216   Answer:1/216
Answer: B
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit  Select:	A) 70	B) 77	C) 289	D) 27	E) 10

Solution: Explanation:   Let C.P.= Rs. 100.   Then, Profit = Rs. 320,   S.P. = Rs. 420.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 420.   Profit = Rs. (420 - 125) = Rs. 295   Required percentage = (295/420) * 100   = 70%(approx)   70nswer: 70) 70%
Answer: A
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days? Choose the correct answer.
A) 8 days
B) 12 days
C) 15 days
D) 16 days
E) 3.75 days

Solution: 3.75 daysxplanation:   1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days   Answer 3.75 days
Answer: E
The area of square ABCD above is 20. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region? Choose the correct choice from the following answers:	A) 18−9/4∗π	B) 18−10/2∗π	C) 9+9/4∗π	D) 9+9/2∗π	E) 9/2−9/4∗π

Solution: =Square - Quarter circle   =20- pi*20/4   =20- pi*10/2   ANSWER:18−10/2∗π
Answer: B
In the equation p = 36.12q, q and p are integers. If p/q leaves a remainder of r, which of the following must divide into r?
Options:
A) 2  B) 3  C) 4  D) 6  E) 12

Solution: 1) It says it is a equation, so p=36.12q should be 36.12 * q..   2) It says q is an integer, again it means 36.12 * q..   Otherwise q would be just a digit and it would be mentioned..   Although not clearly mentioned that 36.12q is actually 36.12 * q, BUT entire info points towards that..   and that is why I have taken p/q = 36.12
Answer: B
Working alone, A can complete a certain kind of job in 6 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs? Choose the correct choice from the following options
A) 8
B) 10
C) 12
D) 14
E) 16

Solution: Let total time taken by D to complete the job = D   total time taken by A to complete the job = 6   Work done by A in an hour   1/A = 1/6   Working together A and D can complete the job in 4 hours   1/A + 1/D = 1/4   =>1/D = 1/4 - 1/A   = 1/4 - 1/6   = 1/12   => D = 12 hours   Answer 12
Answer: C
Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced?
Choose the correct choice from the following answers.
A) 1/5  B) 1/4  C) 1/2  D) 3/4  E) 4/5

Solution: Original Acid : Total ratio = 50:100 . let us say you replaced x part of this. So you are left with (1-x) of the original. So volume of acid left is (1-x)50.   in the new solution.. you added x of 30% solution. i.e 30x acid   (1-x)50 + 30x is the volume of acid. The total volume is still 100. And this concentration is 40%   [(1-x)50 + 30x] / 100 = 40/100   solve to get x=1/2   ANSWER:1/2
Answer: C
If y ¤ z = y^(2z) for all positive integers, then (3 ¤ 4) ¤ 2 =
Answers
A) 3^8  B) 3^12  C) 3^16  D) 3^24  E) 3^32

Solution: y ¤ z = y^(2z)   3 ¤ 4 = 3^(8)   (3 ¤ 4) ¤ 2 = (3^8) ¤ 2 = (3^8)^4 = 3^32   Correct Option: 3^32
Answer: E
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 as its largest number? Choose the correct choice from the following answers.
A) 1/2  B) 1/4  C) 1/8  D) 1/16  E) 5/32

Solution: The set S has 2^5 = 32 subsets.   The number 5 is in half of these subsets.   Of the remaining 16 subsets, 4 is an element in 8 of them.   Thus 4 is the largest number in 8 subsets of S.   The probability that 4 is the largest number is 8/32 = 1/4.   The answer is 1/4.
Answer: B
A fruit seller had some apples. He sells 80% and still has 500 apples. Originally, he had ? Choose the correct choice from the following choices: A) 1588 apples B) 2500apples C) 500 apples D) 2000 apples E) None

Solution: Answer   âˆµ 20% of N = 500   âˆ´ N = (500 x 100)/20 = 2500   Correct Option:2500apples
Answer: B
In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that the mixture be worth Rs 3.25 a kg?  Pick one.
A) 3/5 B) 3/2 C) 5/3 D) 5/7 E) 7/3

Solution: C.P of 1 kg of cheaper rice = Rs 3.10   C.P of 1 kg of expensive rice = Rs 3.60   the mixture be worth for 1 kg = Rs 3.25   By the alligation rule : Quantity of cheaper rice / Quantity of expensive rice   = (3.6 - 3.25)/(3.25 - 3.10)   = (0.35)/(0.15)   = 7/3   7/3
Answer: E
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 10 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
Choose the correct choice:	A) 48 km/hr	B) 56 km/hr	C) 64 km/hr	D) 72 km/hr	E) 80 km/hr

Solution: Let the speed of the slower train be x m/s   Then, the speed of the faster train is 2x m/s   The relative speed is 3x m/s   (100 + 100)/10 = 3x   x = 20/3   So, the speed of the faster train is 40/3 = 40/3 * 18/5= 
40/3 * 18/5 = 48
48 km/hr   The answer is 48 km/hr.
Answer: A
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 20min will be. Select:
A) 60 km/h B) 55 km/h C) 40 km/h D) 120 km/h E) 65 km/h

Solution: Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=20/60hr=1/3hr   New speed = 40* 3/1= 
40* 3/1 = 120
120kmph   Answer : 120 km/h
Answer: D
The present ratio between the ages of Paul and Ben is 5:2. In 4 years time Paul will be 28. What is the present age of Ben?
Choose the correct choice from the following answers.
A) 13  B) 12  C) 11  D) 15  E) 10

Solution: Let the present ages of Paul and 12en be 5x years and 2x years respectively   4x+4 = 28   4x = 24   x = 6   12en's age = 2x = 12 years   Answer is 12
Answer: B
Jennie’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choose the correct option:  A) 1/7  B) 1/5  C) 1/4  D) 1/3  E) 1/2

Solution: Suppose the portion of her salary that she saved is X   and the remaining portion is Y   X+Y= total take home salary   given, 12X = 3Y   or 4X = Y   Total take-home salary= X+ 4X= 5X   hence, she saved 1/5-th portion of her take home salary   1/5
Answer: B
Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?	Choose the most appropriate option:	A) IX	B) XXIII	C) XVII	D) XV	E) X

Solution: XVII   XVII   This is a simple addition series; each number is 3 more than the previous number.
Answer: C
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
Choose the correct answer:  A) Rs.80  B) Rs.85  C) Rs.90  D) Rs.100  E) Rs.120

Solution: 9/12 = 3/4 * 900= 
3/4 * 900 = 675
675   650   -------------   25   1/4 -------- 25   1 --------- ?=> Rs.100   ANSWER:Rs.100
Answer: D
Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7's are there?
5 7 2 6 5 7 3 8 7 3 2 5 7 2 7 3 4 8 2 6 7 8 Select the correct option:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 8 7 3   2 7 3   count 2   2NSWER:2
Answer: A
Each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?  Pick one
A) 1/16  B) 5/42  C) 1/8  D) 3/16  E) 1/4

Solution: 210=2*3*5*7, so the # of factors 210 has is (1+1)(1+1)(1+1)(1+1)=16 (see below);   42=2*3*7, so out of 16 factors only two are multiples of 42: 42 and 210, itself;   So, the probability is 2/16=3/16.   Answer: 3/16
Answer: D