MU-NLPC/Calc-aqua_rat huggingface dataset:
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D? Choose the most appropriate option:
A) 88%
B) 90%
C) 80%
D) 10%
E) 80%

Solution: A B 80% D   90 100 80 100   A D   90 ----- 100   360 ------ ? = 400   500 ------ 400   100 ------- ? => 80%   Answer: 80%
Answer: C
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 10% Vermouth by volume. How many ounces of Gin must he add?
Answers.
A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/4

Solution: 4 ounces is vermouth   6 ounces of gin...   Total volume 10.   To make vermouth account for 10% of total volume the new volume must be....   x*0.1=4   x=40 ounces....   So now you see that he must add 30 ounces of gin...   Plug in 15 for n in the answer choices and look for answer 30   8n/4
Answer: E
Find out the C.I on Rs.7000 at 4% p.a. compound half-yearly for 1 1/2 years.
Pick one
A) A)Rs.426.45	B) B)Rs.427.45	C) C)Rs.428.45	D) D)Rs.429.45	E) E)Rs.430.45

Solution: A = 7000(51/50)3   = 7428.45   7000   -----------   428.45   ANSWER:Rs.428.45
Answer: C
How much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m, moving at 36 kmph in the same direction?  Choose the correct choice
A) 50 B) 99 C) 88 D) 76 E) 106

Solution: The distance to be covered = Sum of their lengths = 420 + 640= 
420 + 640 = 1_060
1060 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 1060/10= 
1060/10 = 106
106 sec.   Answer:106
Answer: E
A car travels first 160 km at 90 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?	Select
A) 71.11  B) 84.7  C) 71.1  D) 71.17  E) 71.13

Solution: Car travels first 160 km at 90 km/hr   Time taken to travel first 160 km = distancespeed=160/90   Car travels next160 km at 80 km/hr   Time taken to travel next 160 km = distancespeed=160/80   Total distance traveled = 160+160=2×160   Total time taken = 160/90+160/80   Average speed = Total distance traveled/Total time taken=320/(160/90+160/80)=84.7 km/hr   Answer:84.7
Answer: B
Employees of a certain company are each to receive a unique 10-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?  Choose the correct choice:
A) 145,660
B) 149,720
C) 155,420
D) 161,280
E) 167,480

Solution: There are 8! ways to make codes starting with 12.   There are 8! ways to make codes starting with 24.   There are 8! ways to make codes starting with 36.   There are 8! ways to make codes starting with 48.   The number of codes is 4*8! = 161,280.   The answer is 161,280.
Answer: D
Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak English and 20% of the diplomats spoke neither French nor English. If 10% of the diplomats spoke both French and English, then how many diplomats attended the conference? Choose the correct option:  A) 70  B) 96  C) 108  D) 120  E) 150

Solution: 2X2 matrix will be the easiest way to calculate this.   Text in black: given statements   Text in red: calculated values   Thus 120=120 is the correct answer
Answer: D
The number of positive integer solutions for the equation x +y +z + t = 10 is	Choose the correct answer: A) 60 B) 74 C) 84 D) 54 E) 104

Solution: The number of positive integer solutions for the equatio fx1+x2+⋯+xn=k   (k-1)C(n-1)- where k is the number and n is number of variable in the equation.   10-1 84 4-1 = 9843 = 84   Answer : 84
Answer: C
If two integers x, y (x>y) are selected from -10 to 5 (inclusive), how many possible cases are there?	Options:
A) 105
B) 120
C) 190
D) 210
E) 240

Solution: If two integers x, y (x>y) are selected from -10 to 5 (inclusive), how many possible cases are there?   A. 150   B. 180   C. 190   D. 210   E. 240   -->16C2=16*15/2= 
16*15/2 = 120
120. Therefore, the answer is 120.
Answer: B
Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie? Choose the correct choice from the following choices:
A) 8C5
B) 8*7*6*5*4
C) 5!
D) 8!/5!
E) 8*5

Solution: Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C58∗5!   Answer: 8*7*6*5*4.
Answer: B
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choose the correct answer.
A) 8.5 km/hr	B) 8 km/hr	C) 9 km/hr	D) 10 km/hr	E) 7 km/hr

Solution: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.   Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.   ANSWER:10 km/hr
Answer: D
sixty men can build a wall in 40 days.but they begin the work together,5 men quit after 10 day.the time needed to build the wall is Choose the correct choice from the following options.
A) 42.72 days B) 52.72 days C) 46.72 days D) 48.72 days E) 62.72 days

Solution: actually 60 men can build a wall in 40 days   suppose same 60 men work for 10 days   then 5 men quit 55 men work for remaining 30 days   then finally remaining work will be   30 * 5= 
  30 * 5 = 150
150 days work   the 55 men can do the 150 days work in 2.72 days   for completion they will take 42.72 days   42.72 daysNSWER:42.72 days
Answer: A
Which of the following numbers is not prime? Select.
A) 396+103 B) 494+97 C) 159+159 D) 322-5 E) 121-11

Solution: 159 is divisible by 3 so i can not be a prime number. --> 3*(53+53). The correct choice is 159+159.
Answer: C
The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D? Choose the correct choice from the following options:
A) 1712
B) 1716
C) 1713
D) 1714
E) 1715

Solution: a+b+c=4024   b+c+d= 4087   a+c+d=4524   a+b+d=4573   Combining all we get 3(a+b+c+d) = 17208   ⇒ a + b + c +d = 3736   Now we find individual values. a = 1649, b = 1212, c = 1163, d = 1712. So maximum value is 1712.   1712nswer:1712
Answer: A
A, B and C start a business each investing 20,000. After 5 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 69,900 was recorded. Find the share of B  Choose the correct choice from the following options
A) 20,000  B) 21,000  C) 28,200  D) 20,500  E) None of these

Solution: Ratio of the capitals of A, B and C   = 20000 × 5 + 15000 × 7 : 20000 × 5 + 16000 × 7 : 20000 × 5 + 26000 × 7   = 205000 : 212000 : 282000 = 205 : 212 : 282.   B’s share = (69900 × 212⁄699) = 21200;   Answer 28,200
Answer: C
If 15/x is an integer and 5/x is an integer, which of the following must be true? I. 4/x is an integer II. 18/x is an integer III. 5/x is an integer  Choose the correct choice from the following answers
A) I only B) II only C) II,III only D) III only E) I,II only

Solution: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 5, GCD of 15 and 5, and if x=5 then ONLY III is true.   Answer: III only
Answer: D
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio E of milk and water in the resultant mixture? Choose the correct choice.
A) 17 : 3  B) 9 : 1  C) 3 : 17  D) 5 : 3  E) 11: 2

Solution: he 20 litre mixture contains milk and water in the ratio of 3 : 2. Therefore, there will be 12 litres of milk in the mixture and 8 litres of water in the mixture.   Step 1.   When 10 litres of the mixture is removed, 6 litres of milk is removed and 4 litres of water is removed. Therefore, there will be 6 litres of milk and 4 litres of water left in the container. It is then replaced with pure milk of 10 litres. Now the container will have 16 litres of milk and 4 litres of water.   Step 2.   When 10 litres of the new mixture is removed, 8 litres of milk and 2 litres of water is removed. The container will have 8 litres of milk and 2 litres of water in it. Now 10 litres of pure milk is added. Therefore, the container will have 18 litres of milk and 2 litres of water in it at the end of the second step. Therefore, the ratio of milk and water is 18 : 2 or 9 : 1.   Shortcut.   We are essentially replacing water in the mixture with pure milk.   Let W_o be the amount of water in the mixture originally = 8 litres.   Let W_r be the amount of water in the mixture after the replacements have taken place.   Then,{W_r}/{W_o}= (1-R/M)^n   where R is the amount of the mixture replaced by milk in each of the steps, M is the total volume of the mixture and n is the number of times the cycle is repeated.   Hence, {W_r}/{W_o} =(1/2)^2  =1/4   Therefore E,W_r ={W_o}/4= 8/4= 
8/4 = 2
2 litres.9 : 1
Answer: B
If n is a positive integer, which of the following is a possible value of |61 - 5n|?	Select the correct option:
A) 7
B) 14
C) 12
D) 15
E) 20

Solution: When 61>5n, then |61- 5n| = 61- 5n = (60-5n) + 1 = {multiple of 5} + 1   When 61<=5n, then |61 - 5n| = -(61- 5n) = (5n-60) - 1 = {multiple of 5} - 1   So, the correct answer must be 1 greater or 1 less than a multiple of 5. Only B fits.   Answer: 14
Answer: B
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647	Choose the correct choice.
A) 16
B) 18
C) 20
D) 19
E) 17

Solution: 17   17xplanation :   The relationship holds for below formula :   pow(x,3) - pow(x,2) - 1   => 9*9*9 - 9*9 - 1   => 729 - 81 - 1= 
729 - 81 - 1 = 647
> 647   Similarly,   17*17*17 - 17*17 - 1=> 4913 - 289 - 1= 
4913 - 289 - 1 = 4_623
> 4623
Answer: E
Sinha and Mitra started a business by investing Rs.52000 and Rs.55000 respectively, after three months Mitra invested Rs.5000 more in the business. What is the share of Mitra in the half year profit of Rs.26280 ?
Choose one:
A) Rs.13800
B) Rs.12000
C) Rs.14200
D) Rs.13980
E) Rs.13860

Solution: Sinha = 52000 x 6 = 312000.   Mitra = 55000 x 3 = 165000 + 60000 x 3 = 180000 = 345000.   Ratio of investments = Sinha : MItra = 312000 : 345000 = 104 : 115 => [219 units].   Mitra share in the profit = 25280 × 115 / 219 = Rs.13800   Option Rs.13800
Answer: A
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 3 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?  Choose the correct option
A) 1 ≤ n ≤23  B) 3 ≤ n ≤21  C) 5 ≤ n ≤19  D) 6 ≤ n ≤18  E) 9 ≤ n ≤15

Solution: ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 12+6-3+3= 
12+6-3+3 = 18
18 for the maximum, and   12-6+3-3= 
  12-6+3-3 = 6
6 for the minimum, so 6 ≤ n ≤18 is the answer
Answer: D
If Logx (1 / 8) = - 3 / 2, then x is equal to	Choose the correct answer.
A) 2
B) 4
C) 5
D) 6
E) 7

Solution: Rewrite the logarithmic equations using exponential equation   x- 3 / 2 = 1 / 8   The above equation may be rewritten as   x - 3 / 2 = 1 / 23 = 2-3   (√x)-3 = 2-3   The above equation gives   √x = 2 or x = 4   answer = 4
Answer: B
If a^x = b^5y, then	Select
A) log a/b= x/y	B) log a/ log b = x/y	C) log a/ log b = 5y/x	D) log b/a = x/y	E) log b/a = y/x

Solution: a^x = b^5y => log a^x = log b^5y => x log a = 5y log b   => log a/ log b = 5y/x   ANSWER:log a/ log b = 5y/x
Answer: C
a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers W was deleted?
Choose the correct answer.
A) a
B) b
C) c
D) d
E) e

Solution: a+b+c+d+e => 1+2+3+4+5= 
1+2+3+4+5 = 15
15   20%*15= 3 =>c
Answer: C
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?  Choose one: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: Explanation:   Suppose 5 joined after x months   then,   21000*12=36000*(12-x)   => 36x = 180   => x = 5   Option 5
Answer: B
When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?
I. n is even
II. n is a multiple of 5
III. n is a factor of 20
Choose the correct choice:	A) III only	B) I and II only	C) I and III only	D) II and III only	E) I, II, and III

Solution: m*n=20   put values of m   m=1 n=20   m=2 n=10   m=4 n=5   I. not true   II. true   III. true   D. correct
Answer: D
John makes $40 a week from his job. He earns a raise andnow makes $55 a week. What is the % increase? Select the correct option:
A) 15% B) 16.66% C) 17.8% D) 19% E) 37.5%

Solution: Increase = (15/40)*100= 
(15/40)*100 = 75/2 = around 37.5
37.5%.   37.5%
Answer: E
The sum of number of boys and girls in a school is 100. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?	Choices:
A) 50
B) 40
C) 60
D) 100
E) 70

Solution: We have x+x% of 100 = 100   x + x/100 * 100 = 100   2 * x = 100   x = 50   50nswer is 50
Answer: A
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Options.
A) 1/6 B) 5/8 C) 3/8 D) 5/6 E) 7/8

Solution: Explanation:   P(at least one graduate) = 1 - P(no graduates) =   1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8) = 5/6   ANSWER IS 5/6
Answer: D
Running at the same constant rate, 4 identical machines can produce a total of 16 bottles per minute. At this rate, how many bottles could 8 such machines produce in 3 minutes?
Choose one: A) 11 B) 92 C) 96 D) 174 E) 115

Solution: Let's take the approach that uses the answer choices to eliminate wasted time.   16/4= 
16/4 = 4
4. 8 machines= 32 per minute. 3 minutes worth = 96 bottles.   Looking at the answers it is clear...we can only choose (96)   THE 96ORRE96T ANSWER IS 96.
Answer: C
Which of the following must be true.?
1) The sum of N consecutive integers is always divisible by N
2) If N is even then the sum of N consecutive integers is divisible by N.
3) If N is odd then the sum of N consecutive integers is divisible by N.
4) The Product of K consecutive integers is divisible by K.
5) The product of K consecutive integers is divisible by K!
Choices
A) 1,4,5	B) 3,4,5	C) 4 and 5	D) 1,2,3,4	E) only 4

Solution: Sum=n/2[2a+(n-1)*1] sum is always divisible by n irrespective of n being even or odd.   Product=a(a+1)(a+2)...(a+k-1) = (a+k-1)!/(a-1)! Product of k consecutive integers contains k terms with at least one multiple of k   Answer: 1,2,3,4 = 1,2,3,4   ANSWER:1,2,3,4
Answer: D
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair? Choose the correct choice from the following choices.
A) 1	B) 3	C) 5	D) 8	E) 9

Solution: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.   1
Answer: A
Given a certain number (A), find A given that 4.5 is 15% of 20% of A? Select the correct option:  A) 120  B) 130  C) 150  D) 100  E) 110

Solution: Using elimination method to pick the correct option it will be discovered that option C i.e 150 is the correct option because 20% of 150 is 30 and 15% of 30 is 4.5.   ANSWER:150
Answer: C
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?  Pick one:
A) 18 km/hr B) 17 km/hr C) 48 km/hr D) 28 km/hr E) 19 km/hr

Solution: Speed on return trip   = 150% of 40   = 60 km/hr.   Average speed   = (2 * 40 * 60)/(40 + 60)= 
(2 * 40 * 60)/(40 + 60) = 48
48 km/hr.   Answer: 48 km/hr
Answer: C
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
Select:
A) 40 B) 45 C) 35 D) 30 E) 25

Solution: we can either choose all 4 people from 5 manager who have no problems or choose 3 from the 5 and 1 from the 2 managers who have a problem sitting together   so 5C4 + (5C3 * 2C1)   this is   5 + 20= 
  5 + 20 = 25
25   Answer : 25
Answer: E
The sum of the numbers is 177. If the ratio between the first and the second be 5:3 and that between the second and third be 4:9, then find the second number? Options: A) 12 B) 20 C) 45 D) 60 E) 52

Solution: Given ratios   5 : 3   4 : 9   20:12:27   The second number = 177/(20+12+27) * 15= 
177/(20+12+27) * 15 = 45
45   Answer is 45
Answer: C
What will be the vulgar fraction of 0.8
Select:
A) 3/5  B) 4/5  C) 3/2  D) 3/7  E) 3/8

Solution: Explanation:   0.8 = 80/100 = 4/5   Option 4/5
Answer: B
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?  Pick one.
A) 2400  B) 1871  C) 1167  D) 1890  E) 1628

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 54000 = 2400   2400nswer:2400
Answer: A
This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?	Select.
A) 98.5%  B) 100.1%  C) 102.8%  D) 104.5%  E) 105.0%

Solution: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000   9% reduction in employees lead to 91 employees and a salary increase of 10% of previous avg salary   Thus the new avg salary is = 10%(1000)+1000 = 1100   so total salary of 91 employees is   91*1100= 
  91*1100 = 100_100
100100   Now the new salary is more than previous salary by x%. x= (100100/100000)*100= 
(100100/100000)*100 = 1_001/10 = around 100.1
100.1%   So the Answer is 100.1%
Answer: B
If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is? Choose the correct choice from the following answers
A) 16
B) 127
C) 12
D) 18
E) 100

Solution: Percentage of profit = 25/25 * 100= 
25/25 * 100 = 100
100%   Answer: 100
Answer: E
96% of the population of a village is 23040. The total population of the village is ?
Choose the correct choice from the following choices
A) 32256  B) 24000  C) 24936  D) 25640  E) None

Solution: Answer   ∵ 96% of P = 23040   ∴ P = (23040 x 100) / 96 = 24000   Correct Option: 24000
Answer: B
If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following?
I. 7
II. 2
III. 3
Answers.
A) II only  B) I and II only  C) I only  D) II and III only  E) I, II, and III

Solution: x=1a   y=7b   xy=7ab   where a,b are integers   Hence , xy will always be divisible by 7 .   I only is the answer.
Answer: C
If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is Choose the correct answer: A) 4% B) 7% C) 6% D) 4% E) 3%

Solution: Explanation:   Let the Principal(P) be x   Then, Simple Interest(SI) = x/5   Time(T) = 5 years   Rate of interest per annum(R) = (100×SI)/PT   = (100 × (x/5)/(x × 5) = 20/5= 
20/5 = 4
4%   Answer: Option 4%
Answer: D
Ayesha's father was 30 years of age when she was born while her mother was 22 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Select the correct option.
A) 16 B) 14 C) 15 D) 12 E) 2

Solution: Mother's age when Ayesha's brother was born = 22 years.   Father's age when Ayesha's brother was born = (30 + 4)= 
(30 + 4) = 34
34 years.   Required difference= (34 - 22)= 
(34 - 22) = 12
12 years.   Answer:12
Answer: D
How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choose the correct choice from the following choices:
A) 55
B) 99
C) 88
D) 76
E) 12

Solution: The distance to be covered = Sum of their lengths = 250 + 300= 
250 + 300 = 550
550 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 550/10= 
550/10 = 55
55 sec.   55nswer:55
Answer: A
Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?	Pick
A) 1/6
B) 2/7
C) 3/10
D) 7/20
E) 1/2

Solution: Let the total votes be 10. Beth received 4 votes, other votes  10-4= 
 10-4 = 6
6. In order to have received 1/2 of the votes she needed 5 votes so 1 more, which is 1/6 of the other votes.   1/6nswer: 1/6.
Answer: A
60, 67, 63, 15, 61, 10, 15
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Choose the correct choice from the following answers
A) 25 B) 36 C) 53 D) 60 E) 62

Solution: Yes, it can be solved with observation even without approximation in 30 sec.   Just observe given numbers: 10, 15 ,15, 60, 61, 63, 67   Median is very easy to tell - its 60. Now we want a number lower than 55 and greater than mean. How many numbers are lower than 60   DE are already out.   Now, we have 25, 36 and 53 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 53. (Notice, if 25 is more than mean then 53 is also. If 36 is more than mean, 53 is also. )   Hence 53 it is!
Answer: C
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.	Choose the most appropriate option.
A) 8 kmph  B) 3 kmph  C) 6 kmph  D) 4 kmph  E) None of these

Solution: Let x and y be the upstream and downstream speed respectively.   Hence, 50/x + 72/y = 9 and 70/x + 90/y = 12   Solving for x and y we get x = 10 km/hr and y = 18 km/hr   We know that Speed of the stream = 1/2 * (downstream speed - upstream speed) = 1/2 (18 - 10) = 4 km/hr.   ANSWER:4 kmph
Answer: D
What is the smallest positive integer x such that 120-x is the cube of a positive integer? Choose the most appropriate option.
A) 10 B) 6 C) 5 D) 0 E) 1

Solution: Given 130-x is a perfect cube   so we will take 125 = 5*5*5   130-x = 125   x = 130-125= 
130-125 = 5
5   correct option is 5
Answer: C
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?  Select:
A) 292  B) 237  C) 200  D) 299  E) 232

Solution: 2(l + 100) = 600 => l = 200 m Answer: 200
Answer: C
20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?
Answers.
A) 1:4  B) 1:5  C) 5:6  D) 1:6  E) None of these

Solution: Explanation :   Let, the total number of students in the class be 't' and the total number of students in the class who are economically poor be 'p'.   So,Total number of students who failed = t/5.   Total number of male students who failed are:-   =>(3/4)×(t/5)=9p/10.   =>p/t=1/6.   Hence,Number of economically poor students/Number of Students=1/6=1:6.   Answer : 1:6
Answer: D
A 16% stock yielding 8% is quoted at?  Pick
A) 165	B) 170	C) 175	D) 180	E) 200

Solution: Assume that face value = Rs.100 as it is not given   To earn Rs.8, money invested = Rs.100   To earn Rs.16, money invested = 100×16/8 = Rs.175   ie, market value of the stock = Rs.200   Answer is 200.
Answer: E