MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9. I.The number is multiple of 51. II.The sum of the digits a and b is 6.  Pick:  A) I alone sufficient while II alone not sufficient to answer  B) II alone sufficient while I alone not sufficient to answer  C) Either I or II alone sufficient to answer  D) Both I and II are not sufficient to answer  E) Both I and II are necessary to answer

Solution: Explanation:   From statement I:   A two digit number, greater than 9 and multiple of 51 should be 51 itself.   Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.   From statement II:   A two digit number, greater than 9 and sum of the digit is 6.   It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.   Thus, I alone give the answer while II alone not sufficient to answer.   Option I alone sufficient while II alone not sufficient to answer
Answer: A
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?	Select the correct option:  A) 2/9  B) 2/2  C) 2/5  D) 2/1  E) 2/7

Solution: Explanation:   A = 2B => B = 1/2 A, so, AB = 2/25   1/2 A2 = 2/25   A2 = 4/25   A = 2/5   Answer: 2/5
Answer: C
A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?  Choose the correct choice from the following choices.
A) 160 Marks
B) 200 Marks
C) 280 Marks
D) 371 Marks
E) 827 Marks

Solution: 20% ------------ 40   30% ------------ 20   ----------------------   10% ------------- 60   20% -------------- ?     120 + 40= 
  120 + 40 = 160
160 Marks   160 Marksnswer:160 Marks
Answer: A
Given positive even integer y, which of the following CANNOT be evenly divisible by y?	Choose the correct choice:
A) y + 2
B) y + 8
C) 2y + 4
D) 3y − 1
E) 2y - 2

Solution: This can be easily solved by substituting values:   Assume y to be 2   A. y + 2: 4 is evenly divisible by 2   B. y + 8: 10 is evenly divisible by 2   C. 2y + 4: 8 is evenly divisible by 2   D. 3y − 1: 5 is not evenly divisible by 2   E. 2y + 2: 2 is evenly divisible by 2   Option 3y − 1
Answer: D
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/3. What is the probability of Michael passing his driving test?  Answers:	A) 1/24.	B) 1/2.	C) 1/3.	D) 2/3.	E) 2/5

Solution: 1/3 *1/m= 1/6 , 1/m = 1/2   Answer 1/2.
Answer: B
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 30 degrees? Choose the correct choice from the following options:
A) π B) 3π/2 C) 2π/3 D) 5π/2 E) 8π

Solution: Area = 16π   Radius = 4   Circumference = 2 x 4 x π = 8π   Angle forming the arc = 30 degrees. 30/360 = 1/12.   Therefore length of arc = 1/12 * 8π = 2π/3 - Answer choice 2π/3.
Answer: C
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?	Choose the correct choice from the following answers.
A) 150 B) 140 C) 160 D) 170 E) 180

Solution: Let the number be x.   Then, 4*x/5 –(65% of x) = 21   4x/5 – 65x/100 = 21   5 x = 2100   x = 140.   so the answer is option 140) 140.
Answer: B
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 340 m long platform? Choose the correct choice from the following answers:	A) 37 min	B) 46 min	C) 47 min	D) 67 min	E) 45 min

Solution: B   46 min   Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +340)/ 36 * 5/18 = 46 min.
Answer: B
The average age of applicants for a new job is 31, with a standard deviation of 9. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants? Choose the correct choice from the following answers:  A) 8  B) 14  C) 15  D) 18  E) 19

Solution: within one standard deviation of the average age means 31 +/- 7   24--31--38   number of dif.ages -22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40   total=19   19
Answer: E
A cyclist covers a distance of 750 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist Choose the correct choice from the following.
A) 16 km/hr B) 17 km/hr C) 18 km/hr D) 19 km/hr E) 20 km/hr

Solution: Explanation:   Speed=Distance/Time   Distance=750meter   Time=2 min 30sec=150sec   Speed=750/150= 
750/150 = 5
5m/sec=>5∗18/5km/hr=18km/hr   Option 18 km/hr
Answer: C
In the Clock Game, part of the game show The Price Is Right, a contestant must
guess the price (rounded to the nearest dollar) of a prize which is worth less than $2,000. After
each guess, the contestant is told whether her guess was correct, too low, or too high. Assume
that the contestant is mathematically savvy but has no idea how much the prize is worth.
With how many guesses is she guaranteed to win the prize? Choose the correct choice from the following answers:	A) 10	B) 11	C) 12	D) 13	E) 1997

Solution: At each stage, the contestant has narrowed the range of possible prices to an interval,   and she should guess exactly in the middle this interval. For example, for the first guess she   should guess either $1,000 or $1,001. (On the actual show, your time is limited rather than   the number of guesses, so you should start with $1,000 because it is quicker to say.)   At every step the contestant can at least halve the number of remaining possibilities.   Suppose that the interval has n possible prices and that the contestant's guess does not win   immediately. If n is odd there will be n􀀀1   2 prices on either side of her guess, and she will be   told which of these contains the correct price. If n is even then there will be n   2 prices on one   side n   2 *1 prices on the other, and we assume the worst case of n   2 .   Since 210 = 1024 and 2000   1024 < 2, after ten guesses she will be down to one remaining   possibility, which she guesses with her eleventh guess.   Conversely, ten guesses is not enough. After each the remaining number of possibilities   could be as high as: 1000,500,250,125,62,31,15,7,3. She is guaranteed only a 1-in-3 shot in   the tenth guess.   correct answer 11
Answer: B
A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 1 : 5 : 3. If C gets Rs. 1000 more than D, what is B's share?
Pick one:  A) Rs. 500  B) Rs. 1000  C) Rs. 1500  D) Rs. 2000  E) NOne

Solution: Sol.   Let the shares of A, B, C and D be Rs. 5x, Rs. x, Rs. 5x and Rs. 3x respectively.   Then, 5x - 3x = 1000 ⇔ 2x = 1000 ⇔ x = 500.   ∴ B's share = Rs. x= Rs. 500.   Rs. 500nswer Rs. 500
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A. 20% B. 45%	Choose one
A) 77
B) 66
C) 44
D) 99
E) 11

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer:44
Answer: C
John invested some money at the rate of 6% p.a. for the first three years, 9% p.a.for the next five years and 9% p.a.for the period beyond eight years. How much interest will he get after eleven years if he invested Rs 10000?	Choose the most appropriate option
A) 8,000  B) 9,900  C) 12,000  D) 7,000  E) None of these

Solution: Let the interest be i. Then,   (10000×3×6/100)+(10000×5×9/100)+(10000×3×12/100)=i   ⇒ 1800 + 4500 + 3600 = i   ⇒ i = 9900   Answer 9,900
Answer: B
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3e/y is a prime integer greater than 2, which of the following must be true?
I. e = y
II. y = 1
III. e and y are prime integers.	Choose the correct answer:
A) None  B) I only  C) II only  D) III only  E) I and III

Solution: 3e/y and if e=y then ans is 3 and 3 is prime number, which is greater than 2. so ans must be B. Please post ONone.
Answer: A
A started a business with an investment of Rs. 10000 and after 7 months B joined him investing Rs. 12000. If the profit at the end of a year is Rs. 24000, then the share of B is?  Select the correct option:  A) 10000  B) 8000  C) 12000  D) 6000  E) 14000

Solution: Ratio of investments of A and B is (10000 * 12) : (12000 * 5) = 2 : 1   Total profit = Rs. 24000   Share of B = 1/3 (24000) = Rs. 8000   Answer: 8000
Answer: B
A man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?  Select the correct option.
A) 13 B) 10 C) 15 D) 11 E) 9

Solution: When the woman passes the man, they are aligned (m and w). They are moving in the same direction. After 5 minutes, the woman (W) will be ahead the man (M):   m------M---------------W   w   In the 5 minutes, after passing the man, the woman walks the distance mW = wW, which is  10*24/60= 
 10*24/60 = 4
4 miles and the man walks the distance mM, which is  10*12/60= 
 10*12/60 = 2
2 mile.   The difference of 4 - 2= 
4 - 2 = 2
2 miles (MW) will be covered by the man in (2)/9= 2/9 of an hour, which is ~13 minutes.   13nswer 13.
Answer: A
The sum of first five prime numbers is?
Choose the correct option:
A) 12
B) 28
C) 56
D) 24
E) 22

Solution: Required sum = (2 + 3 + 5 + 7 + 11)= 
(2 + 3 + 5 + 7 + 11) = 28
28.   Note: 1 is not a prime number.   Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.   28
Answer: B
If 8^x = 2^9, what is x?  Select the correct option:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: 2^3x= 2^9   3x=9, therefore x=3   Answer 3
Answer: B
In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.24 per kg so that cost of mixture is Rs.18 per kg? Choose the correct choice from the following
A) 4:1  B) 2:1  C) 3:1  D) 4:3  E) 4:5

Solution: (18-24)/(16-18)=6/2= 
6/2 = 3
3:1   ANSWER:3:1
Answer: C
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct answer:
A) 1.7 B) 1.9 C) 1.1 D) 1.5 E) 1.2

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer:1.5
Answer: D
The total car population in a Mumbai is 2,90,000 out of which 1,50,000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red  Choose the correct choice from the following
A) 5.24%  B) 5.35%  C) 6.125%  D) 27.86%  E) 8%

Solution: Total Honda brand red cars = 90/100 *150000= 
90/100 *150000 = 135_000
135000   Total red cars= 60/100*290000= 
60/100*290000 = 174_000
174000   No. of Non-Honda cars= 290000-150000= 
290000-150000 = 140_000
140000   No. of Non-Honda red cars= 174000 - 135000= 
174000 - 135000 = 39_000
39000   % of Non-Honda red cars= 39000/140000*100 = 27.86%   Answer : 27.86%
Answer: D
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Choose one.
A) 1.6
B) 1.5
C) 1.3
D) 1.1
E) 1.2

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer:1.5
Answer: B
How many numbers between 200 and 500 begin or end with 3?	Choose the correct choice from the following:
A) 20 B) 60 C) 100 D) 110 E) 120

Solution: How many numbers between 200 and 500 begin or end with 3?   Just think that those numbers are:   i) The ones ending in 3: 203, 213, 223, ... , 493 --> 30 numbers   ii) The ones beginning in 3: 300, 301, 302, 303, ... , 393, ... , 399 --> 100 numbers   BUT 10 out of the first 30 numbers are repeated in the second set.   THEREFORE, the solution is 120 numbers.   Answer: 120
Answer: E
A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,818 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether? Answers
A) 60000
B) 60100
C) 70000
D) 75000
E) 65000

Solution: 82% parts used of subsidary company, so 18% parts used of other companies.   Now, 18% parts = 10,818 computers   So, 1% parts = 10,818/18   Or, 100% parts = 60,100 computers.   Hence answer is (60100)
Answer: B
A man's speed with the current is 25 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Answers.
A) 10
B) 80
C) 50
D) 30
E) 20

Solution: Man's speed with the current = 25 km/hr   => speed of the man + speed of the current = 25 km/hr   speed of the current is 2.5 km/hr   Hence, speed of the man = 25 - 2.5= 
25 - 2.5 = 22.5
22.5 km/hr   man's speed against the current= speed of the man - speed of the current   = 22.5 - 2.5= 
22.5 - 2.5 = 20
20 km/hr   Answer is 20.
Answer: E
The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream? Select the correct option.
A) kmph  B) kmph  C) kmph  D) kmph  E) kmph

Solution: Speed downstream = 60 + 30= 
60 + 30 = 90
90 kmph   Speed upstream= 60 - 30= 
60 - 30 = 30
30 kmph   Answer:kmph
Answer: D
Can you find the smallest non fractional number such that
If the number gets divided by 9 , we get the remainder of 1;
If the number gets divided by 10 , we get the remainder of 2
If the number gets divided by 11 , we get the remainder of 3;
If the number gets divided by 12 , we get the remainder of 4.  Choose the correct choice from the following
A) 1450 B) 1300 C) 1205 D) 2501 E) 1978

Solution: E.option E   As we know LCM of the numbers 9 10 11 & 12 is 1980.   So if i divide 1980 by any of the four number , it gives remainder as 0.   Now to get reminder as desired, is should be 2 short of 1978. (3-1,4-2,5-3,6-4 )   Ans:option 1978
Answer: E
The sum of present age of Abe and the age before 7 years is 35. Find the present age of Abe. What will be his age after 7 years?
Choose the correct choice from the following choices
A) 25  B) 26  C) 27  D) 28  E) 29

Solution: Present age = x   Before 7yrs, y=x-7   After 7yrs, z=x+7   By the qn,   x+(x-7)=35   2x-7=35   2x=35+7= 
35+7 = 42
42/2= 
42/2 = 21
21   z=x+7   =21+7= 
21+7 = 28
28   ANSWER:28
Answer: D
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 5 characters in length. This year, it added the option of creating passwords having 6 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
Choose the correct choice from the following answers
A) 63^4 B) 62^5 C) 62(62^4) D) 63(62^5) E) 63(62^6)

Solution: Total number of passwords = number of 5 character password +number of 6 character password   = 62^5 + 62^6 (Since there is no limitation on repetition , each character can be chosen in 62 ways )   =62^5(1+ 62)   =62^5 * 63   Answer 63(62^5)
Answer: D
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choose the correct answer
A) 77.9 litres B) 72.9 litres C) 72.8 litres D) 62.9 litres E) 72.5 litres

Solution: Let the initial quantity of milk in vessel be T litres.   Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.   Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T   For the given problem, T = 90, y = 9 and n = 2.   Hence, quantity of milk finally in the vessel   = [(90 - 9)/90]2 (90) = 72.9 litres.   Answer: 72.9 litres
Answer: B
Eight children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
Choose the correct choice:
A) 600 B) 720 C) 1440 D) 4320 E) 4800

Solution: A, B, C, D, E, F, G- seven children, of which AB must sit next to each other. Considering them as one X (A, B), we have X, C, D, E, F, G. These can be arranged in 6! ways. But A,B can arrange themselves in 2! ways. So a total of 6!*2! ways = 1440. Since in exactly half of them, C will be to the right of AB, and exactly half, C will be to the left of AB, therefore 1440/2 = 1440.   B is the right answer.   1440
Answer: C
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done? Select:
A) 650 B) 656 C) 696 D) 724 E) 756

Solution: From a group of 7 men and 6 women, five persons are to be selected with at least 3 men.   Hence we have the following 3 options.   We can select 5 men ...(option 1)   Number of ways to do this = 7C5   We can select 4 men and 1 woman ...(option 2)   Number of ways to do this = 7C4 × 6C1   We can select 3 men and 2 women ...(option 3)   Number of ways to do this = 7C3 × 6C2   Total number of ways   = 7C5 + (7C4 × 6C1) + (7C3 × 6C2)   = 7C2 + (7C3 × 6C1) + (7C3 × 6C2)[∵ nCr = nC(n - r) ]   =   7   ×   6   2   ×   1   +   7   ×   6   ×   5   3   ×   2   ×   1   ×   6   =7×62×1+7×6×53×2×1×6   +   7   ×   6   ×   5   3   ×   2   ×   1   ×   6   ×   5   2   ×   1   +7×6×53×2×1×6×52×1   =   21   +   210   +   525   =   756   =21+210+525= 
21+210+525 = 756
756   756)
Answer: E
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choose the correct choice from the following options.
A) 3 B) 4 C) 5 D) 8 E) 9

Solution: Speed in still water = (11 + 5)/2= 
(11 + 5)/2 = 8
8 kmph.   answer :8
Answer: D
A tank contains 7,500 gallons of a solution that is 6 percent sodium chloride by volume. If 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choose the correct answer
A) 5.18%
B) 6.18%
C) 7.18%
D) 8.18%
E) .7%

Solution: We start with 7,500 gallons of a solution that is 6% sodium chloride by volume. This means that there are 0.06 x 7,500 = 450 gallons of sodium chloride.   When 2,000 gallons of water evaporate we are left with 5,500 gallons of solution. From here we can determine what percent of the 5,500 gallon solution is sodium chloride.   (sodium chloride/total solution) x 100 = ?   (450/5,500) x 100 = ?   0.081 x 100 = ?   = 8.18%   Answer is 8.18%.
Answer: D
If 20 men can build a water fountain 56 metres long in 7 days, what length of a similar water fountain can be built by 35 men in 3 days? Options
A) 40 m  B) 42 m  C) 47 m  D) 49 m  E) 50 m

Solution: Explanation :   Let the required length be x metres   More men, More length built (Direct Proportion)   Less days, Less length built (Direct Proportion)   Men 20: 35   Days 7: 3 : : 56 : x   Therefore (20 x 7 x x)=(35 x 3 x 56)   x=(35 x 3 x 56)/140=42   Hence, the required length is 42 m.   Answer : 42 m
Answer: B
Everyone shakes hands with everyone else in a room. Total number of handshakes is 78. Number of persons=?	Choose the correct answer
A) 13
B) 12
C) 11
D) 15
E) 16

Solution: In a room of n people, the number of possible handshakes is C(n,2) or n(n-1)/2   So n(n-1)/2 = 78 OR n(n-1)=156 OR n=13   13nswer is (13)
Answer: A
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number R of tickets sold by the male members of the association Select
A) 50 B) 56 C) 58 D) 62 E) 66

Solution: Given that, Total average R sold is 66, Male/Female = 1/2 and Female average is 70. Average of Male members isX.   (70*F+X*M)/(M+F) = 66 -> Solving this equation after substituting 2M=F, X = 58. ANS 58.
Answer: C
In the new budget the price of rise rose by 5%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase? Select the correct option:
A) 7.5%  B) 9.1%  C) 4.76%  D) 12.6%  E) 15%

Solution: Reduce in consumption = R/(100+R) *100% = 5/105 *100 =4.76%   Answer is 4.76%
Answer: C
A wholeseller cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 30% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 20% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.  Choose the correct choice from the following options.
A) 78% B) 56% C) 99.33% D) 14.109% E) 79%

Solution: Anyways, one can infer that he 'steals' 30% from suppliers and then charges 20% extra to customers   So basically 1.3 * 1.2= 
1.3 * 1.2 = 1.56
1.56   Given that 1 is start point, we get 21% more   Hence answer is 56%
Answer: B
how many seconds are there in a year ? Choose the correct choice from the following answers: A) 31536000 B) 21536000 C) 11536000 D) None E) cannot be determined

Solution: Solution:   == Mathematical 31536000nswer ==   Mathematical 31536000nswer = number of seconds in a minute * number of minute in an hour * number hour in a day * number of day in year    60 * 60 * 24 * 365= 
 60 * 60 * 24 * 365 = 31_536_000
31536000   31536000nswer 31536000
Answer: A
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
Select the correct option.
A) 1  B) 2  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   8/4= 
8/4 = 2
2   2 /2= 
2 /2 = 1
1   1
Answer: A
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?	Answers
A) Rs.1000	B) Rs.600	C) Rs.800	D) Rs.400	E) Rs.700

Solution: 2*12 : 3*12 : 4*24   1: 3: 4   1/8 * 3200= 
1/8 * 3200 = 400
400   ANSWER:Rs.400
Answer: D
The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?	Choose the correct choice from the following answers.
A) 0.65	B) 3.3	C) 0.3	D) 0.4	E) 0.6

Solution: (1500 * R1 * 3)/100 - (1500 * R2 * 3)/100 = 13.50 4500(R1 - R2) = 1350   R1 - R2 = 0.3%.Answer: 0.3
Answer: C
When a number is added to another number the total becomes 33 1⁄3 per cent of the second number. What is the ratio between the first and the second number? Pick:	A) 3 : 7	B) 7 : 4	C) 7 : 3	D) Data inadequate	E) None of these

Solution: Let the first and second numbers be x and y respectively.   Then, x + y = 10⁄3y   or, x = 7⁄3y   ∴ x : y = 7 : 3   Answer 7 : 3
Answer: C
The area of playground is 5900 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.	Choose the correct choice from the following answers: A) a) $144 B) b) $150.50 C) c) $165 D) d) $158.60 E) e) $160.70

Solution: total volume * unit cost = total cost   or, 5900 * 0.01 * 2.8 = total cost = 165=c) $165
Answer: C