MU-NLPC/Calc-aqua_rat huggingface dataset:
If 4/a + 5/a + 6/a is an integer, which of the following must also be an integer?  Options:
A) 12/a  B) 3/a  C) 6/a  D) 9/a  E) 15/a

Solution: 4/a + 5/a + 6/a   =15/a   Answer 15/a
Answer: E
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Select the correct option:
A) 70%
B) 20%
C) 60%
D) 10%
E) 80%

Solution: Explanation:   900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Pick one
A) 48	B) 12	C) 75	D) 28	E) 91

Solution: Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.   P + C + M = 150 + P   C + M = 150   Average mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 150/2= 
150/2 = 75
75.   Option 75
Answer: C
If m and n are positive integers, and m=2n and k=9m, then -  Select
A) k is a factor of m.  B) 2m is a factor of k.  C) 3m is a factor of k/2.  D) m/2 is a factor of k.  E) k is a factor of m/2.

Solution: m=2n --> m is even.   k=9m --> m is factor of k, thus m/2 = integer must also be a factor of k.   Answer: m/2 is a factor of k..
Answer: D
The average age of 40 students is 8 years. If the age of teacher is also included , then their average age increases by half a year. What is the age of the teacher?
Choose the correct choice from the following choices.
A) 45 years	B) 48.5 years	C) 28.5 years	D) 26.5 years	E) 27.5 years

Solution: Total age of 40 students = 40*8= 
40*8 = 320
320   Let the age of the the teacher be x, Then (320+x)/41= 8+1/2 =8 ½.   320+x =17/2*41 =697/2= 
697/2 = 697/2 = around 348.5
348.5,   x=348.5-320= 
348.5-320 = 28.5
28.5   ANSWER:28.5 years
Answer: C
In how many ways can a Chief Minister and a Vice Minister be elected from a team of 11 members?	Choices.
A) 110	B) 121	C) 132	D) 144	E) 169

Solution: There are 11 choices for the Chief Minister.   Then there are 10 choices for the Vice Minister.   The total number of ways is  11*10= 
 11*10 = 110
110.   The answer is 110.
Answer: A
Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively.The car B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?
Choose one
A) 8 hours 12 minutes	B) 6 hours 15 minutes	C) 7 hours 20 minutes	D) 7 hours 12 minutes	E) None

Solution: Explanation :   Let the time taken by car A to reach destination is T hours   So, the time taken by car B to reach destination is (T – 2) hours.   S1T1 = S2T2   => 40(T) = 55 (T – 2)   => 40T = 55T -110   => 15T = 110   T = 7 hours 20 minutes   Answer – 7 hours 20 minutes
Answer: C
The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choose the correct choice from the following options.
A) 299	B) 300	C) 299	D) 750	E) 261

Solution: Speed = [36 * 5/18] m/sec = 10 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 10 => x = 10 * 60 / 2= 
10 * 60 / 2 = 300
300   Answer: 300
Answer: B
When 22 is divided by the positive integer k, the remainder is 2, for how many different values of k is this true?
Options:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: When 22 is divided by k, remainder is 2 i.e. there are 2 balls leftover after grouping. so k must be greater than 2.   It also means that 20 is completely divisible by k.   Factors of 20 are 1, 2, 4, 5, 10, 20   Out of these, k can be 4, 5, 10 and 20.   Answer (4)
Answer: D
7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country. Choose the correct choice
A) 200 B) 300 C) 400 D) 500 E) 600

Solution: Let x be the total grown quantity of wheat. According to the question   (7%of x)+ 64 31 %of x)+3 7x 31x => 100+ 6 = 400 + 3 1200 x = — 400 million tonnes rice grown   400
Answer: C
In a sequence, each term is obtained by adding 2 to the preceding one. If the sum of the first 20 terms is equal to 140, what is the result of the addition of the first 40 terms?	Answers
A) 1020 B) 1080 C) 1160 D) 1240 E) 1280

Solution: a is first term and d = 2 since the preceding number is always greater than the previous one..   Now 20th term is a+19(2).   Sum of n terms is n/2(first term + last term)and here we have to get sum of 20 terms , we get 20/2 ( a + a+38) = 140 ( given sum of 20 terms is 140)   => 10(2a+38) = 140   => 2a+38 = 14   => a = -12   Now to get sum of first 40 terms , we need to get 40th term value i.e. -12+39(2) = 66.   Sum of first 40 terms = 40/2( -12 + 66) = 1080.   Hence option 1080 is correct answer..
Answer: B
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,75,000 as total savings, how much has he saved in Public Provident Fund ?
Choose the correct choice from the following:
A) 80000  B) 60000  C) 50000  D) 70000  E) 90000

Solution: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (175000 - x) respectively. Then,   =1/3 x = 1/2 (175000 - x)   =x/3 + x/2 = 87500   =5x/6 = 87500   =x = 87500 x 6 /5	= 105000   Savings in Public Provident Fund = Rs. (175000 - 105000) = Rs. 70000   Answer is 70000.
Answer: D
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 30% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?  Choose the correct answer.
A) $20 B) $40 C) $50 D) $70 E) $100

Solution: Deargoodyear2013,   I'm happy to help.This is a relatively straightforward problem, not very challenging. BTW,Crazy Eddiewas the actually name of an electronics chain on the East Coast of the USA back in the 1970s.   Manufacturing now is $50. They now are making a 50% profit, so the selling price must be $100.   They had this same selling price, $100, before they made the change, and had a profit of 30%, so the manufacturing must have been $70. Answer = ($70).
Answer: D
A class has 6 boys and x girls. Average score of boys and girls is 50 and 60 respectively. the average of the whole class is 55, what is the value of x?  Choose the correct choice from the following choices:
A) 5
B) 6
C) 10
D) 12
E) 15

Solution: After you have got : 6(50)+60x/6+x=55   6*50 + 60x = 6*55 + 55x   x=6   Answer is 6
Answer: B
If 2x^2 + y^2 = 2xy, then (x - y)^2 =  Select the correct option.
A) -x^2  B) 3x^2  C) 4xy  D) 2y^2  E) – y^2

Solution: (x-y)^2 = x^2 + y^2 - 2xy = x^2 + y^2-2x^2-y^2 = -x^2   Correct option : -x^2
Answer: A
Find the least square number which is exactly divisible by 10,12,15 and 18.  Choose the most appropriate option:  A) 900  B) 120  C) 103  D) 104  E) 217

Solution: L.C.M. of 10, 12, 15, 18 = 180. Now, 180 = 2 * 2 * 3 * 3 *5 = 22 * 32 * 5.   To make it a perfect square, it must be multiplied by 5.   Required number = (22 * 32 * 52) = 900.   900NSWER 900 900
Answer: A
George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 15% of the money for taxi fare and buys 15 mangoes. How many oranges can he buy?  Choose one
A) 25	B) 17.5	C) 20	D) 16	E) 12

Solution: Let the amount of money be 200   Let cost of 1 Orange be 4   Let cost of 1 mango be 5   He decides to retain 15% of 200 = 30 for taxi fare, so he is left with 170   He buys 20 mangoes ( @ 5) so he spends 100   Money left is 70 (170 - 100)   No of oranges he can buy = 70/4 =>17,5   So, George can buy 15 Oranges.   17.5
Answer: B
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 20% profit?
Choose the correct choice from the following answers:
A) 277  B) 960  C) 277  D) 266  E) 768

Solution: Let C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 120% of Rs. 640 = 120/100 * 640 = Rs. 768.   Answer: 768
Answer: E
In the interior of a forest, a certain number of apes equal to the square of one-fourth of the total number are playing and having great fun. The remaining four apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes? Choose the correct choice from the following answers
A) 48	B) 8	C) 64	D) 80	E) 16 or 48

Solution: Let total number be x   No in the interior = (x/4)^2   No outside = 4   So : x - (x/4)^2=4   x^2-16x+64=0   (x-8)^2=0   So x=8   8
Answer: B
Area of a square is 1/2 hectare. The diagonal of the square is?
Choose the correct option.
A) 250 meter
B) 100 meter
C) 50√ 2 meter
D) 50 meter
E) 35 meter

Solution: Area = 1/2 hectare = 10000 / 2 m2   = 5000 m2   Again Area = 1/2 x (Diagonal)2   So 1/2 x (Diagonal)2 = 5000m2   Diagonal2= 10000   Diagonal = 100   Answer : 100 meter
Answer: B
A box contains 9 apples, 8 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n? Choose the correct choice from the following choices:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: P(choosing a red apple 5 times in a row) = 8/9*7/8*6/7*5/6*4/5 = 4/9 < 0.5   The answer is 5.
Answer: C
How much time will a train of length 400 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 answers.
A) 40 sec
B) 50 sec
C) 60 sec
D) 70 sec
E) 80 sec

Solution: The distance to be covered = Sum of their lengths = 400 + 300= 
400 + 300 = 700
700 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 700/10= 
700/10 = 70
70 sec.   ANSWER:70 sec
Answer: D
If k is a non-negative integer and 21^k is a divisor of 435,961 then 7^k - k^7 = Choose the correct option.
A) 0	B) 1	C) 42	D) 118	E) 242

Solution: 4+3+5+9+6+1= 
4+3+5+9+6+1 = 28
28, so this number is not divisible by 3 and thus not divisible by 21.   Therefore, k=0   7^k - k^7 =1-0= 
1-0 = 1
1   The answer is 1.
Answer: B
The Simplastic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic? Choose the correct choice from the following answers
A) 9  B) 12  C) 36  D) 72  E) 108

Solution: The nouns havefixed structureC-V-C-V-C. Now,each Ccan take 3 values (let's say X, Y or Z) andeach Vcan take 2 values (let's say A or E), so there will be 3*2*3*2*3= 
3*2*3*2*3 = 108
108 nouns possible.   Answer: E.   It's basically the same if it were how many different 5-digit numbers are possible with the following structure odd-even-odd-even-odd, where odd numbers can be only 1, 3 or 5 and even numbers only 2 and 4.   It's natural to think that a noun can have for example two same vowels (X-A-Y-A-Z) or 3 same consonants (X-A-X-A-X), so if this was not the case then this would be explicitly mentioned.answer is 108
Answer: E
What distance will be covered by a city bus moving at 72 kmph in 30 seconds?	Choose the correct answer: A) 200 m B) 300 m C) 600 m D) 500 m E) 400 m

Solution: 72 kmph = 72 * 5/18= 
72 * 5/18 = 20
20 mps   Dist= Speed * time = 20 * 30= 
20 * 30 = 600
600 m.   ANSWER 600 m
Answer: C
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 25 p coins are there? Choose the correct choice from the following answers:
A) 155 B) 100 C) 125 D) 150 E) 120

Solution: Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.   Then, sum of their values = (25 x/100) + (20 x/100) + (15 x/100)   = 60 x /100   30 = 60 x / 100   x = 50 = 25 p coin   Hence, the number of 5 p coins = (3 * 50)= 
(3 * 50) = 150
150.   Ans - 150
Answer: D
What number has a 5:1 ratio to the number 11?
Choose the correct choice
A) 22	B) 50	C) 55	D) 52	E) 12

Solution: 5:1 = x: 10   x = 55   Answer: 55
Answer: C
In how many ways can we put 4 different balls in 3 different boxes when any box can contain any number of balls? Choose the correct answer:
A) 80 B) 81 C) 64 D) 63 E) 82

Solution: Stage 1: Select a box for the 1st ball to go into.   There are 3 available boxes, so we can complete stage 1 in 3 ways   Stage 2: Select a box for the 2nd ball to go into.   There are 3 available boxes, so we can complete stage 2 in 3 ways   Stage 3: Select a box for the 3rd ball to go into.   There are 3 available boxes, so we can complete stage 3 in 3 ways   Stage 4: Select a box for the 4th ball to go into.   There are 3 available boxes, so we can complete stage 4 in 3 ways   81y the Fundamental Counting Principle (FCP), we can complete all 4 stages (and thus distribute all 4 balls) in (3)(3)(3)(3)(4) ways (= 81 ways)   Answer:81
Answer: B
There are two numbers. If 50% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number? Choose the correct answer
A) 5/9
B) 5/7
C) 5/3
D) 5/8
E) 2/1

Solution: Let the two numbers be x and y.   50/100 * x + y = 5/4y   => 1/2 x = 1/4 y => x/y   = 2/1   Answer: 2/1
Answer: E
What is the HCF of 2/3, 4/9 and 6/18
Select the correct option:
A) 7/45	B) 2/45	C) 1/9	D) 8/45	E) 9/45

Solution: Explanation:   H1/9F of Fractions = H1/9F of Numerators/L1/9M of Denominators   = (H1/9F of 2, 4, 6)/(L1/9M of 3, 9, 18) = 2/18 = 1/9   Answer: Option 1/9
Answer: C
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? Select the correct option:
A) 300	B) 350	C) 450	D) 470	E) 500

Solution: Explanation:   10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1500 – 1050= 450   450
Answer: C
If x and y are odd integers, which of the following must always be a non-integer  Choose the correct answer.
A) -x^2y	B) y/x	C) xy/4	D) x/y	E) x^2y^2

Solution: as X and Y are odd, multiplication of x and y would result in odd integer   (Odd Integer)/4 will always be non integer.   xy/4
Answer: C
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Choose the correct choice from the following choices.
A) 19
B) 28
C) 30
D) 37
E) None

Solution: EXPLANATION   Suppose their paths cross after x minutes.   Then, 11 + 57x = 51 – 63x <=> 120x = 40   x= 1/3   Number of floors covered by david in (1/3) min = (1/3 x 57) = 19   So, their paths cross at (11 +19) i.e., 30th floor.   Answer 30
Answer: C
From below option 48 is divisible by which one?  Choose the correct option:
A) A)3
B) B)5
C) C)9
D) D)7
E) E)11

Solution: 48/3= 
48/3 = 16
16   3
Answer: A
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is? Select the correct option:
A) 145646 B) 236578 C) 645353 D) 456546 E) 220060

Solution: (555 + 445) * 2 * 110 + 60 = 220000 + 60= 
220000 + 60 = 220_060
220060   220060
Answer: E
Find the odd man out. 12, 24, 34, 48, 64, 84 Choose the correct choice from the following choices:
A) 48  B) 34  C) 24  D) 12  E) 11

Solution: Explanation :   All numbers except 34 are multiples of 4. Answer : Option 34
Answer: B
The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?  Choose the correct choice from the following:  A) 17  B) 14  C) 10  D) 16  E) 20

Solution: Let the two numbers be 5x and 6x.   Let the numbers added to both so that their ratio becomes 7 : 8 be k.   (5x + k) / (6x + k) = 7/8   => 40x + 8k = 42x + 7k => k = 2x.   6x - 5x = 10 => x = 10   k = 2x = 20.   Answer:10
Answer: C
If N = 1/5 + 1/5^2 +1/5^3 , then N is multiplied by 100 , will the product be greater than 100?	Select.
A) Less than 100	B) Greater than 100	C) Indeterminate	D) Equal to 100	E) Cannot be determined

Solution: We need to check if (1/5 + 1/5^2 +1/5^3) > 1   If it is greater than 1 then the product 100 * N will be greater than 1 else not   N = 1/5 + 1/5^2 +1/5^3   5^3 * N = 5^3 * 1/5 + 5^3 * 1/5^2 + 5^3 * 1/5 ^3   125 * N = 25 + 5 + 1   125 * N = 31   N = 31/125   N is less than 1 since numerator is less than denominator .   Therefore 100 N would be less than 100   Less than 100ns: Less than 100
Answer: A
If x/4 + 24/x = 5, what are the values of 4x - 7?  Choose the correct choice
A) 8 and 9
B) 8 and 24
C) 25 and 41
D) 12 and 29
E) 17 and 29

Solution: I got the same thing 25 and 41 is the answer 25 or 41
Answer: C
A thief goes away with a SANTRO car at a speed of 22 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 72 kmph when will the owner over take the thief from the start?  Choose the correct choice from the following answers:
A) 5/3 hours
B) 11/25 hours
C) 2/3 hours
D) 1/3 hours
E) 2/5 hours

Solution: -----------22--------------------|   72 22   D = 22   RS = 72 â€“ 22 = 50   T = 22/50 = 11/25 hours   ANSWER:11/25 hours
Answer: B
A 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?  Choose the correct choice from the following answers:
A) 1/4	B) 2/5	C) 1/2	D) 3/5	E) 2/3

Solution: you can simply use this formula to avoid confusion:   w1/w2 = (A2 - Aavg)/(Avg - A1)   Here is how you will find the values of A1 an A2.   We have an overall loss (average loss). The average loss is 3 kg when 30 kg alloy is immersed.   This is a loss of (3/30)*100= 
(3/30)*100 = 10
10%.   This is Aavg   The loss of tin is 1.375 kg for every 10 kg.   This means it loses   (1.375/10)*100= 
  (1.375/10)*100 = 13.75
13.75% of its weight in water.   This is A1.   The loss of silver is .375 kg for every 5 kg.   This means it loses   (.375/5)* 100= 
  (.375/5)* 100 = 7.5
7.5% of its weight in water.   This is A2.   Weight of Tin/Weight of Silver= (Silver's loss - Avg loss)/(Avg loss - Tin's loss)   X/Y = (7.5 - 10)/(10 - 13.75) = 2/3   2/3
Answer: E
A tour group of 25 people paid a total of $1050 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choose the correct choice from the following answers
A) $22	B) $23.94	C) $40	D) $25.20	E) $30

Solution: Soln:-   1050/25=x+0.05x   1050/25=1.05x   x=40   ANSWER:$40
Answer: C
A train runs at the speed of 72 kmph and crosses a 250 metre long platform in 26 seconds. What is the length of the train ?  Select:
A) 220 metre
B) 230 metre
C) 250 metre
D) 260 metre
E) 270 metre

Solution: Distance covered in 26 seconds = 26Ã—72Ã—5/18=520 meter   Length of the train = 520-250= 
520-250 = 270
270 meter   ANSW270 metreR: 270 metre
Answer: E
John borrowed 3 soccer boots from Jake, and forgot them on the field, if peter came across a total of 15 boots on the field Jake's boots inclusive, and he took 4 boots at random, what is the probability that Jake's boots were not amongst the 4 taken?.	Choices:
A) 12/91 B) 3/15 C) 12/15 D) 33/91 E) 3/91

Solution: Since Jake owns 3 of the boots, the subset from which the 4 boots should be chosen are the 12 boots not owned by Jake from the universe of 15.   The first boot can be one of the 12 from the 15 with probability 12/15.   The second boot can be one of the 11 from the 14 remaining with probability 11/14.   The third boot can be one of the 10 from the 13 remaining with probability 10/13.   The fourth boot can be one of the 9 from the 12 remaining with probability 9/12.   The total probability will be 12/15 × 11/14 × 10/13 × 9/12 . On cancellation, this comes to 33/91.   Thus, the answer is 33/91 - 33/91
Answer: D
Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin? Choose the correct choice from the following choices:
A) 24.8 years B) 28.5 years C) 84.5 years D) 34.5 years E) 24.5 years

Solution: Let Rahul's age be x years.   Then, Sachin's age = (x - 7) years.   (x - 7)/x = 7/9   2x = 63 => x = 31.5   Hence, Sachin's age = (x - 7) = 24.5 years.   Answer:24.5 years
Answer: E
What will be the difference between simple and compound interest at 16% per annum on a sum of Rs. 1000 after 4 years?
Select
A) 164.19  B) 164.12  C) 170.6  D) 167.1  E) 165.11

Solution: S.I. = (1000 * 16 * 4)/100 = Rs. 640   C.I. = [1000 * (1 + 16/100)4 - 1000] = Rs. 810.6 Difference = (810.6-640) = Rs. 170.6   Answer: 170.6
Answer: C
If paint costs $3.20 per quart, and a quart covers 1200 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge? Choose the correct choice from the following options:	A) $ 1.60	B) $ 16.00	C) $ 96.00	D) $108.00	E) $196.00

Solution: total surface area = 6a^2 = 6*10*10= 
6*10*10 = 600
600   each quart covers 20 sqr ft   thus total number of quarts= 600/1200= 
600/1200 = 1/2 = around 0.5
0.5   cost will be  0.5*3.2= 
 0.5*3.2 = 1.6
$1.6   $ 1.60ns: $ 1.60
Answer: A
An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed? Choose the correct choice
A) 89% B) 82% C) 81% D) 50% E) 80%

Solution: Explanation:   Let the weight of full bottle be 6kg.   Therefore, weight of empty bottle is 1kg and that of water is 5kg.   If x% of water is removed, the weight of the bottle becomes 2kg.   Therefore, the amount of water removed is 4kg.   % of water removed = 4/5 *100= 
4/5 *100 = 80
80%   ANSW80%R: 80%
Answer: E
A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 20 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choose the correct choice from the following:	A) 4200	B) 5400	C) 6600	D) 7800	E) 8900

Solution: The distance the sound traveled to the man is 20*330= 
20*330 = 6_600
6600 meters   The answer is 6600.
Answer: C
a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required
Choose one: A) 2 B) 4 C) 5 D) 6 E) 7

Solution: Total subjects = 6+5+5= 
6+5+5 = 16
16   Max subjects by 1 teacher= 4   So, min of teachers required = 16/4= 
16/4 = 4
4   ANSWER:4
Answer: B
A person, who decided to go to weakened trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot? Choose the correct answer:
A) 120 miles  B) between 120 and 140 miles  C) 160 miles  D) 180 miles  E) 260 miles

Solution: let dist travelled be 2x. hence destination is at dist x   x/40+x/30=8   x=137.14   ANSWER:between 120 and 140 miles
Answer: B