MU-NLPC/Calc-aqua_rat huggingface dataset:
Rani is two years older than Bruce who is twice as old as Chris. If the total of the age of Rani, Bruce and Chris be 32 years, then how old is Rani ?	Select:  A) 7 years  B) 10 years  C) 12 years  D) 13 years  E) 14 years

Solution: Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.   (2x + 2) + 2x + x = 32   5x = 30   x = 6   Hence, Rani's age = 2*6 +2= 
2*6 +2 = 14
14 years.   Answer : 14 years
Answer: E
There is a 45 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 45 cm, how many insects were still left after the race was over?
Choose the correct choice from the following:
A) 0
B) 4
C) 6
D) 7
E) 10

Solution: Only the prime numbers greater than 10 and less than 45 were left.   That is 11, 13, 17, 19, 23, 29, 31, 37, 41, and 43.   The total is 10.   The answer is 10.
Answer: E
An error 8% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? Choose the correct choice from the following:
A) 6.64%  B) 16.64%  C) 15.64%  D) 26.64%  E) 10.64%

Solution: Percentage error in calculated area   =(8+8+(8×8)/100)%=16.64%   ANSWER:16.64%
Answer: B
Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Six years ago Jim was 7 times as old as Sam. How old is Jim now?
Choices:
A) 8
B) 12
C) 16
D) 20
E) 24

Solution: We're asked how old Jim is NOW. We're given three facts to work with:   1) Today, Jim is TWICE as old as Fred   2) Today, Sam is 2 years younger than Fred   3) Six years ago, Jim was 7 times as old as Sam.   let's TEST Answer D: 20   IF....Jim is currently 20 years old....   Fred is 10 years old   Sam is 8 years old   6 years ago, Jim was 14 and Sam was 2, so Jim WAS 7 times Sam's age. This is an exact MATCH for what we were told, so this MUST be the answer.   20
Answer: D
The cost of 2 chairs and 3 tables is Rs.1600. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?	Select the correct option
A) 228 B) 287 C) 277 D) 188 E) 400

Solution: 400xplanation:   2C + 3T = 1600 --- (1)   3C + 3T = 1200 --- (2)   Subtracting 2nd from 1st, we get   -C + T = 400 => T - C = 400   Answer:400
Answer: E
One fast typist type some matter in 2hrs and another slow typist type the same matter in 3hrs. If both do combine in how much time they will take to finish.
Pick.
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: Fast's 1 hr work = 1/2   slow's 1 hr work = 1/3   1/2 + 1/3 = 5/6   they ll finish in 6/5hrs= 1 1/5 ==> 1 hr 12 mins   ANSWER:12
Answer: C
In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.0, 9.0, 6.0, and 8.8, what was the point value of the dive?	Choose the correct choice from the following choices:
A) 68.8 B) 73.6 C) 75.2 D) 76.8 E) 77.76

Solution: Degree of difficulty of dive = 3.2   Scores are 6.0 , 7.5 , 8.0 , 8.8 and 9.0   We can drop 6.0 and 9.0   Sum of the remaining scores = (7.5+8+8.8)= 
(7.5+8+8.8) = 24.3
24.3   Point of value of the dive= 24*3.2 =77.76   Answer 77.76
Answer: E
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?	Choose the correct option.
A) 09  B) 07  C) 11  D) 05  E) 03

Solution: Explanation:   Suppose they meet x hrs after 8 a.m   then,   [Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.   Therefore, 60x + 75(x-1) = 330.   => x=3.   So,they meet at (8+3) i.e, 11a.m.   Answer: 11) 11 a.m
Answer: C
In a school of 600 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?	Choose one.
A) 102	B) 112	C) 122	D) 132	E) 142

Solution: 45 + 23 + 15= 
45 + 23 + 15 = 83
83%   100 – 83= 17%    600 * 17/100= 
 600 * 17/100 = 102
102   The answer is 102.
Answer: A
The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?	Choose the correct choice from the following.
A) 1/(XY).
B) Y/X
C) X by Y
D) 1/(X+Y).
E) 1/(X-Y).

Solution: pulling a black ball out of a glass and breaking the jar both are independent events.   For 2 independent events, we know, P(a) * P(b) = P(a∩b)   If Prob of pulling a black ball out of a glass = P(a) and Prob of breaking the glass= P(b)   1/x * P(b) = 1/y ---> P(b) = x/y   Hence, answer should be X by Y.
Answer: C
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 2244 sq. metres.
Choose the most appropriate option.
A) A)25.4	B) B)26.7	C) C)24.3	D) D)22.5	E) of these

Solution: Explanation:   Clearly, the cow will graze a circular field of area 2244 sq. metres and radius   equal to the length of the rope.   Let the length of the rope be R metres.   Then, Π(R)2= 2244 => R2 = (2244 X (7/22)) = 714=> R = 26.72   Length of the rope = 26.72 m.   Answer: Option 26.7
Answer: B
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is	Pick one.
A) 1/2 B) 3/4 C) 3/5 D) 3/7 E) 5/7

Solution: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2   1/2ns.(1/2)
Answer: A
{9,4,3,5,7,12,10}
What value should be inserted into the above set of 7 values to get a median value of 6?  Choose one
A) 5
B) 4
C) 3
D) 7
E) 6

Solution: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.   The question asks fora new number that will cause the median of new set at 12.   Mentionable that given set is already sorted and number of items of new set will be 7+1= 
7+1 = 8
8.   To get median 6,the sum of 4th5th Term should be 12 and luckilyit's exactly same in the existing series i.e. 5+7.   So to keep the median 6, the new item should be >=7   Answer is 7
Answer: D
One-fourth of the students at a nursery school are 4 years old or older. If 15 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?  Choose one: A) 80 B) 90 C) 100 D) 110 E) 120

Solution: x/4 students are > 4 yrs   15 students are < 3 yrs   x/4+ 15 = 40   x/4 = 25   x = 100   Answer: 100
Answer: C
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $102 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $102 million in sales?	Choose one:
A) 8%
B) 15%
C) 40%
D) 52%
E) 56%

Solution: (9/102)/(3/20) = 30/54 = 58,5% it means that 9/108 represents only 58,5%. Therefore a decrease of 45%.   Answer 40%
Answer: C
A miniature gumball machine contains 4 blue, 4 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?	Choose the correct choice from the following answers.
A) 2/15  B) 4/15  C) 5/30  D) 7/30  E) 11/60

Solution: The total number of ways to dispense 3 gumballs is 10C3=120.   The number of ways to choose one of each color is   4*4*2= 
  4*4*2 = 32
32.   P(dispensing one of each color)=32/120=4/15.   The answer is 4/15.
Answer: B
Let f(x) = x^2 + bx + c. If f(5) = 0 and f(-3) = 0, then b + c =
Choose the correct choice from the following
A) 18  B) -17  C) -15  D) -21  E) -24

Solution: f(x) = x^2 + bx + c. If f(5) = 0 and f(-3) = 0, then b + c =   f(5) = 0= 25+5b+c--- Taking 25 to the other side   -> 5b+c= -25   f(-3) = 0= 9-3b+c --- taking -3b+c to the other side   -> 3b-c=9   When we add these 2 equations, we get 8b= -16---> b= -2   And while substituting b= -2 we get c= -15.   b+c= -17--- Answer -17
Answer: B
Three numbers are in the ratio 1:4:6 and their H.C.F is 7. The numbers are?
Choose the correct answer
A) 7, 28, 40
B) 7, 28, 42
C) 7, 28, 45
D) 7, 21, 42
E) 7, 28, 35

Solution: Let the required numbers be x, 4x and 6x. Then, their H.C.F = x. So, x = 7.   The numbers are 7, 28, 42.   Answer: 7, 28, 42
Answer: B
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 25 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Select:  A) 0.5024  B) 2/5  C) 1/2  D) 3/4  E) 5/6

Solution: It is a circle inscribed in a square.   Square side=25---> square(table) area=25^2   Circle diameter=20---> Circle area=PiR^2=100Pi (where Pi=~3.14)   covered fraction=100*3.14/25*25= 
100*3.14/25*25 = 314
~314/25*25=0.5024   0.5024
Answer: A
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choose the correct choice from the following choices:
A) 30%
B) 33%
C) 33 1/3%
D) 35%
E) 34%

Solution: 1/4 33 1/3%P = 210 SP = 21*(80/100) = 168   SP = 840*(120/100)= 
840*(120/100) = 1_008
1008   1008 - 168= 
1008 - 168 = 840
840   3/4 SP= 630   Gain = 210   630 --- 210   100 --- ? => 33 1/3%   ANSWER:33 1/3%
Answer: C
The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from y to z, inclusive, where 0<y<z? Choose the most appropriate option:
A) z(z+1)/2 - (y+1)(y+2)/2  B) z(z+1)/2 - y(y+1)/2  C) z(z+1)/2 - (y-1)y/2  D) (z-1)z/2 - (y+1)(y+2)/2  E) (z-1)z/2 - y(y+1)/2

Solution: Or try plug-in method: let z=4 and y=3 --> then z+y=7. Let see which option yields 7.   A. z(z+1)/2 - (y+1)(y+2)/2 = 10-10= 
10-10 = 0
0;   B. z(z+1)/2 - y(n+1)/2= 10-6= 
10-6 = 4
4;   C. z(z+1)/2 - (y-1)y/2= 10-3= 
10-3 = 7
7 --> OK;   D. (z-1)z/2 - (y+1)(y+2)/2= 6-10=-4;   E. (z-1)z/2 - y(y+1)/2 = 6-6= 
6-6 = 0
0.   Answer: z(z+1)/2 - (y-1)y/2.
Answer: C
A coin is tossed live times. What is the probability that there is at the least one tail? Choices:
A) 31/32  B) 31/89  C) 31/97  D) 31/90  E) 31/56

Solution: Explanation:   Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer: Option 31/32
Answer: A
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?	Choose the correct choice from the following:	A) 298 m	B) 888 m	C) 120 m	D) 217 m	E) 166 m

Solution: Speed = (12/10 * 60) km/hr   = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train   = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120 m
Answer: C
What is the difference between the place value of 2 in the numeral 7559?  Pick:
A) 160 B) 165 C) 180 D) 190 E) 450

Solution: Answer: Option '450'    500 - 50= 
 500 - 50 = 450
450
Answer: E
If four coins are tossed, the probability of getting two heads and two tails is -.  Choose the correct choice.
A) 3/8 B) 6/11 C) 2/5 D) 4/5 E) 5/11

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8NSWER:3/8
Answer: A
3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The
percentage of alcohol in the new mixture is  Choose the most appropriate option.
A) 25% B) 20% C) 30% D) 33% E) None of these

Solution: Explanation :   ----------------------------------------------------------Method-1 to solve the question--------------------------------------   --------------------We have a 11 litre solution containing 42% of alcohol in the water=> Quantity of alcohol   in the solution= 11×42100Now 3 litre of water is added to the solution=> Total Quantity of the new   solution = 11+3= 
11+3 = 14
14Percentage of alcohol in the new solution=11×4210014×100=11×3100=33%-------------   ---------------------------------------------Method-2 to solve the question---------------------------------------------------   -------%Concentration of alcohol in pure water = 0%Concentration of alcohol in mixture = 42quantity of   water : Quantity of mixture = 3 : 11Let the %Concentration of alcohol in the new mixture = x   By the rule of alligation, we have   %Concentration of alcohol : 0   in pure water %Concentration of alcohol   in mixture : 42   Mean %Concentration   x   42 - x x - 0 = x   But (42 - x) : x = 3 : 11   ⇒42−xx=311⇒42−xx=311⇒42×11−11x=3x⇒14x=42×11⇒x=3×11=33=> The percentage of alcohol in the   new mixture is 33%   Answer : Option 33%
Answer: D
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/6 of the remaining paint. How many gallons of paint has Joe used?
Choose the correct option: A) 18 B) 135 C) 175 D) 216 E) 250

Solution: Total paint initially = 360 gallons   Paint used in the first week = (1/4)*360= 
(1/4)*360 = 90
90 gallons.   Remaning paint= 270 gallons   Paint used in the second week = (1/6)*270= 
(1/6)*270 = 45
45 gallons   Total paint used= 135 gallons.   Option 135
Answer: B
What is the total % gain or loss if a trader sold two items for Rs.1500 each, and makes a profit of 20% from the first item and a loss of 12% from the second item. Choices:
A) 2.4
B) 4.4
C) 1.4
D) 12.4
E) 20.5

Solution: (20*12)/100= 
(20*12)/100 = 12/5 = around 2.4
2.4%   2.4nswer: 2.4
Answer: A
What least number must be substracted from 427398 so that the remaining number is divisible by 15?
Choices
A) 3
B) 1
C) 16
D) 11
E) 15

Solution: On dividing 427398 by 15, we get remainder = 3.   Required number be substracted   3NSWER:3
Answer: A
If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?	Choose the correct option
A) 1204 B) 1296 C) 1340 D) 1754 E) 1674

Solution: Number of rectangles that can be formed by using m horizontal lines and n vertical lines   = mC2 × nC2   Here m = 9, n = 9   Hence, number of rectangles that can be formed   = mC2 × nC2   = 9C2 × 9C2 = (9C2)2   =(9×82×1)2=362=1296=(9×82×1)2=362=1296   ANSWER 1296 1296
Answer: B
Today is Monday. After 63 days, it will be: Choose the correct choice from the following answers:
A) Monday
B) Sunday
C) Saturday
D) Friday
E) Thursday

Solution: Each day of the week is repeated after 7 days.   So, after 63 days, it will be Monday.   answer :Monday
Answer: A
There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 8 other amateurs, what is the total number of chess games possible to be played in the tournament? Choose the correct answer:
A) 10	B) 20	C) 40	D) 60	E) 120

Solution: Method 2:   Each person is one participant of 4 games. So there are in all 8*5= 
8*5 = 40
40 instances of one participant games. 20ut each game has 2 participants so total number of games= 40/2= 
40/2 = 20
20   20
Answer: B
The food in a camp lasts for 32 men for 48 days. If eight more men join, how many days will the food last?	Pick one:
A) 80 days
B) 30 days
C) 38 days
D) 16 days
E) 15 days

Solution: one man can consume the same food in 32*48= 
32*48 = 1_536
1536 days.   8 more men join, the total number of men= 40   The number of days the food will last = 1536/40   = 38 days.   Answer:38 days
Answer: C
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Choose the correct choice from the following answers:	A) 1871	B) 9172	C) 8797	D) 8112	E) 1899

Solution: A = 7500(26/25)2 = 8112'   Answer:8112
Answer: D
Three grades of milk are 1 percent, 33 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?  Pick one
A) y + 3z  B) (y +z) / 4  C) 2y + 3z  D) 3y + 3z  E) 3y + 4.5z

Solution: Soln:   The resulting equation is   => (.01x + .03y + .03z)/(x+y+z) = 1.5/100   => x + 3y + 3z = 1.5x + 1.5y + 1.5z   taking x to one side and y and z to other side we get   => x = 3y + 3z   Ans is 3y + 3z
Answer: D
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed Choose the correct option
A) 50 km  B) 52 km  C) 54 km  D) 56 km  E) 58 km

Solution: Explanation:   Let the length of the train be x meters,   Then, the train covers x meters in 8 seconds and (x + 180) meters in 20 sec   x/8=(x+180)/20 ⇔ 20x = 8 (x + 180) <=> x = 120   Length of the train = 120 m.   Speed of the train = (120/8)m / sec = m / sec = (15 ×18/5)kmph = 54 km   Answer: Option 54 km
Answer: C
A business finds that their ratio of spending to income is 5 to 9. Their total profit is $48,000. What is their total income?  Answers: A) $90,000 B) $108,000 C) $119,000 D) $126,000 E) $140,000

Solution: Let x equal the amount of spending, and y equal the amount of income.   We know that x = 5/9y   We also know that x = y - 48000   Therefore we can simplify to:   y-48000 = 5/9y   We isolate y, and get:   4/9y = 48000   And to solve for y, we get:   y = 48000   Answer: $108,000
Answer: B
Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 5 cm, and BD = 6 cm, what is CD, in centimeters?
Choose the correct choice from the following options:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Putting a value to each point, lets use the following:   A - 0   B - 2 (AB = 2)   C - 5 (AC = 5)   D - 8 (BD = 6)   CD is 8-5= 
8-5 = 3
3.   Ans 3
Answer: C
In an examination 38% of students fail in English and 61% pass in Hindi and 23% fail in both. Find the actual failure percentage? Choose the correct choice from the following:
A) 10%
B) 12%
C) 54%
D) 28%
E) 42%

Solution: Explanation:   Fail percentage=38+61+23=54%   Answer: 54%
Answer: C
I came across this problem in the GMATprep software and got it totally wrong!
A company consists of 6 senior and 4 junior staff officers. If a committee is created with 3 senior and 3 junior staff officers, how many possible committees are there?  Choose the correct answer: A) 12 B) 44 C) 56 D) 80 E) 200

Solution: 6C3*4C3   =80=80
Answer: D
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?  Select the correct option
A) 12:15:19	B) 12:15:16	C) 12:15:19	D) 12:15:11	E) 12:15:13

Solution: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)   = 12:15:16   Answer:12:15:16
Answer: B
a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (7.5/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?	Pick one
A) 3/8 B) 1/2 C) 11/16 D) 23/32 E) 3/4

Solution: The answer isC: 11/16.   The key to this problem is remembering that the median for a consecutive set of numbers is equivalent to its mean. For example, the mean and median of a set consisting of x, x+1, x+2, ... ,y will always be (x+y)/2.   For set S, consisting of numbers (a, a+1,...,b), the median is given to be 3/4*b:   (a+b)/2 = (3/4)*b   a = b/2   For set Q, consisting of numbers (b, b+1,...,c), the median is given to be 7.5/8*c:   (b+c)/2 = (7.5/8)*c   b = (7/8)*c   For set R, consisting of numbers (a, a+1,...c), the median needs to be found:   a = b/2 = (7/8*c)/2 = (7/16)*c   Median = (a + c)/2 = (7/16*c + c)/2 = (23/16)*c/2 = (23/32)*c (ANSWER 23/32)
Answer: D
If r = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x = Choices: A) -2 B) -1 C) 0 D) 2 E) None of the above

Solution: Let us transform the formula:   r = (x – 5)² + (x +1)² – 6 =   x² – 10x + 25 + x² + 2x + 1 – 6 =   2x² – 8x + 20 = 2 × (x² – 4x + 10) =   2 × ((x² – 4x + 4) + 6) =   2 × ((x – 2)² + 6)   Any square is greater or equal 0. Therefore the formula possess the least value when (x – 2)² = 0.   x – 2 = 0   x = 2   The correct answer is choice (2).
Answer: D
From the starting point in a boat race, one competitor started to sail north at a speed of 1.4 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
Choose the correct choice.
A) 9.21	B) 12.	C) 12.5.	D) 14.	E) 15.4.

Solution: Both competitors are sailing making angle of 90 degrees.   9.21fter 5 hrs one competitor will cover a distance of = 1.4 *5= 
1.4 *5 = 7
7 KM   9.21nd, other competitor will cover a distance of= 1.2*5= 
1.2*5 = 6
6KM   distance between them after 5 hrs= (7^2+ 6^2)^1/2= 9.21 KM   9.21 is the answer
Answer: A
What is the highest integer that is the sum of 2 distinct prime integers, each smaller than 80 ?
Select:  A) 140  B) 152  C) 153  D) 169  E) 176

Solution: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.   Immediate two prime numbers before 80 are - 79 and 73   Sum = 79 + 73= 
79 + 73 = 152
152   Answer - 152
Answer: B
A Kloke's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Kloke's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Kloke's to travel 850 kilometers? Pick one
A) 1 hour and 24 minutes.  B) 1 hour and 36 minutes.  C) 2 hours and 24 minutes.  D) 2 hours and 36 minutes.  E) 5 hours.

Solution: Difference in time = time taken by passenger train- time taken by Kloke's train   850/(250*68) *100 - 850/250   850 (100/ 250*68 - 1/250)   850*32/ (250*68)   1.6 hrs or 1 hr and 36 mins   1 hour and 36 minutes. is the answer
Answer: B
Pipe A can fill a tank in 4 hours. Due to a leak at the bottom, it takes 6 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choose the correct choice.
A) 12
B) 67
C) 95
D) 36
E) 66

Solution: Let the leak can empty the full tank in x hours 1/4 - 1/x = 1/6   => 1/x = 1/4 - 1/6 = (3 - 2)/12 = 1/12   => x = 12.   12nswer: 12
Answer: A
The speed at which a woman can row a boat in still water is 120 kmph. If she rows downstream, where the speed of current is 60 kmph, what time will he take to cover 500 metres?
Select the correct option
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: Speed of the boat downstream = 120 + 60= 
120 + 60 = 180
180 kmph= 180 * 5/18= 
180 * 5/18 = 50
50 m/s   Hence time taken to cover 500 m= 500/50= 
500/50 = 10
10 seconds.   Answer: 10
Answer: C