MU-NLPC/Calc-aqua_rat huggingface dataset:
The two lines y = x and x = -3 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Select
A) 16
B) 3/√2
C) 8
D) 2√2
E) (√2)/3

Solution: 800score Official Solution:   The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-3, -3) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(3 × 3) = 9/2; so z = 9/2.   The next step requires us to find the length of a side of a cube that has a face area equal to 9/2. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 9/2. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 9/2. Clearly s = √9/2 = 3/√2 , oranswer choice (3/√2).
Answer: B
If the average of 55, 48, 507, 2, 684 and y is 223, then what is y?	Select the correct option.
A) 701  B) 120  C) 42  D) 868  E) 1

Solution: y=42, because:   (55+48+507+2+684+y)/6 = 223   (55+48+507+2+684+y)/6 *6 = 223*6   (55+48+507+2+684+y)-1296= 1338-1296= 
1338-1296 = 42
42   So the correct answer is 42, 42.
Answer: C
If p/q =4/5, then the value of 1/7 + {(2q - p) / (2q + p)} is ?	Choose the correct choice from the following choices: A) 4 / 7 B) 34 C) 1 D) 2 E) 3

Solution: Answer   Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}   Dividing numerator as well as denominator by q,   Exp = 1/7 + {2-p/q) / (2 + p/q)}   = 1/7 + {(2 - 4/5) / (2 + 4/5)}   = 1/7 + 6/14   = 1/7 + 3/7   =4/7   Correct Option: 4 / 7
Answer: A
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?  Choose the correct choice from the following options:	A) Rs.187	B) Rs.199	C) Rs.189	D) Rs.176	E) Rs.129

Solution: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135   SP = CP[(100 + profit%)/100]   = 135 * [(100 + 40)/100]   = Rs.189.   Answer: Rs.189
Answer: C
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount? Choose the correct choice from the following choices:
A) 388 B) 105 C) 288 D) 266 E) 281

Solution: x:y:z = 100:45:30   20:9:6   9 --- 27   35 --- ? => 105   Answer:105
Answer: B
A fair coin with sides marked heads and tails is to be tossed seven times. What is the probability that the coin will land tails side up more than four times?  Choose one:
A) 29/128  B) 56/256  C) 65/256  D) 70/256  E) 81/256

Solution: More than 5 times tails = 6times +7times+5times = 7C6 + 7C7 + 7C5= 29   2 2 2 2 2 2 2   2^8 times total events and 29 events where tails side up .   So probability = 29/2^7 = 29/128 (29/128nswer 29/128)
Answer: A
After decreasing 24% in the price of an article costs Rs.532. Find the actual cost of an article? Choices:  A) 118  B) 677  C) 700  D) 2688  E) 1991

Solution: 700P* (76/100) = 532   700P700 * (76/100)= 
700 * (76/100) = 532
532   700P= 7 * 100= 
7 * 100 = 700
> 700P= 700   Answer: 700
Answer: C
The compound ratio of 5:6, 3:2 and 4:5 is?
Choices:
A) 3:5
B) 2:7
C) 1:1
D) 1:4
E) None

Solution: Answer: Option 1:1   5/6 : 3/2 : 4/5 = 1:1
Answer: C
If Y < X and XM < YM, what must be true  Choose the most appropriate option.
A) M < X.
B) M < Y.
C) M < 0.
D) X < 0.
E) Y < 0.

Solution: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.   This is only possible when -ve is multiplied on both sides. That means M is -ve   M < 0. is the answer
Answer: C
Seven friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 7-person seating arrangements are possible? Choose the most appropriate option
A) 1800  B) 3600  C) 5400  D) 7200  E) 9000

Solution: The number of ways to arrange 7 people in a row is 7!   From this we want to subtract all the arrangements where the two friends are next to each other. If we consider them as one unit, then the number of arrangements of this 2-person unit and the 5 other friends is 6! And the number of arrangements of the two friends within this unit are 2 because the two friends can switch places. So the total number of arrangements of the 7 friends with the 2-person unit together is 6!*2   The total number of permutations where these two friends are not seated next to each other is 7! - 6!*2 = 5*6! = 3600   The answer is 3600.
Answer: B
A dealer professing to sell his goods at cost price, uses 900gm weight for 1 kg. His gain percent is
Choose one:
A) 13% B) 12 1/3% C) 11 1/9% D) 10% E) 12%

Solution: Gain % = ( Error/ (( True value) - Error)) *100 %   = (1000gm -900gm) / (1000 -100)* 100 %   = 100/900*100%   = 100/9   = 11 1/9 %   ANSWER:11 1/9%
Answer: C
In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 65% average total marks, it is necessary for him in third yearly examination to secure marks :  Choose the most appropriate option.
A) 300  B) 350  C) 400  D) 475  E) 500

Solution: total marks:1500 for three exams   65% of 1500=975   first exam marks=45% of 500=225   second exam marks=55% of 500=275   let X be the third exam marks   225 + 275 + X =975   X=475   ANSWER:475
Answer: D
It's Valentine's day and Alan has promised to cook his girlfriend Alana her favorite meal: fish fingers and custard. Alana will be arriving in one hour exactly. Alan only has a microwave. The fish fingers take 13 minutes to defrost in the microwave and 6 minutes to cook in the microwave. The custard must be prepared after the fish fingers and takes 24 minutes to cook in the microwave and then 6 minutes to cool sufficiently so as not to burn someone's tongue. It will take Alan 1 minute to plate the food. However, Alan is on his Xbox and really wants to play one more game of his football video game before Alana arrives. What is the maximum length of each half of the match that Alan can play to ensure the meal is ready for Alana's arrival?
Choose the correct answer:
A) 5 minutes B) 6 minutes C) 7 minutes D) 8 minutes E) 10 minutes

Solution: Alana will arrive in 60 minutes.   The total meal preparation time is 13 (fish finger defrost) + 6 (fish finger cook) + 24 (custard cook) + 6 (custard cool) + 1 (plate time) = 50 minutes.   Alan therefore has 10 minutes (60-50 = 10) to play his football video game.   5 minutess football matches have two halves, 5 minuteslan have select 5 minute halves (10/2 = 5)   5 minutesNSWER: 5 minutes
Answer: A
A contractor is engaged for 30days on the condition that he receives Rs.25 for eachday he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?	Pick.
A) 5 B) 10 C) 17 D) 25 E) 30

Solution: 30 * 25= 
30 * 25 = 750
750   425   -----------   325   25 + 7.50= 
25 + 7.50 = 32.5
32.5   325/32.5= 
325/32.5 = 10
10   10
Answer: B
In the recent, education conference in US, out of 500 men, 800 women, 1000 children present inside the building premises, 30% of the men, 25% of the women and 35% of the children were Russian. Find the percentage of people who were not Russian?	Choose the correct choice from the following options.
A) 63.50%  B) 65.23%  C) 62.30%  D) 69.57%  E) 67.23%

Solution: Solution: Number of Russian men present there = 500*30/100= 
500*30/100 = 150
150   Russian women= 800*25/100= 
800*25/100 = 200
200   Russian children= 1000*35/100= 
1000*35/100 = 350
350.   Total member present in education conference= 500+800+1000= 
500+800+1000 = 2_300
2300   Total Russian= 150+200+350= 
150+200+350 = 700
700   Hence, % of Russian present there= 700*100/2300 = 30.43%   % of people who were not Russian = 100-30.43= 
100-30.43 = 69.57
69.57%.   Answer 69.57%
Answer: D
Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 5 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?	Answers:
A) 53	B) 57	C) 58	D) 61	E) 63

Solution: 100%. There are total of   30+33-1= 
  30+33-1 = 62
62 books and   4+5= 
  4+5 = 9
9 books are removed, thus 62-9= 
62-9 = 53
53 books are left.   53nswer: 53.
Answer: A
Suppose that there are n points in the plane and that each of these
points is joined to exactly three of the others by straight line segments.
Then a possible value of n would be	Options:
A) 11
B) 15
C) 18
D) 27
E) 39

Solution: Count the number of pairs (p,l) where p is one of the n points and l is a line   segment joining p to one of the other n-1 points. Each point is joined to exactly 3 other   points by line segments so that the total number of pairs is 3n (three line segments for   each of the n points). On the other hand, if there are m total line segments, then each line   segment joins exactly two points so that the total number of pairs (p,l) is 2m (two pointsfor each of the m line segments). Thus, we must have 3n = 2m. But this means that n   must be even. The only even choice given is 18, so this must be the answer.   Is n = 18 really possible or is there some other argument that shows n must be divisible   by 23? One can justify that in fact if n is even, then one can join each of any n points   to 3 of the remaining n - 1 points by line segments. To see this, let n = 2k, and let the   points be p1,..., pn. For each j, join pj by line segments to pj-1, pj+1, and pj+k where   subscripts are to be interpreted modulo n. Thus, for example, if n = 18, then the point   p12 is joined to p11, p13, and p3 (since 12 + 9 + 3 (mod 18)) and the point p1 is joined   to p18 (since 1-1=18 (mod 18)), p2, and p10. You should convince yourself that this   construction for n even joins each point to exactly 3 others.   correct answer 18
Answer: C
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in : Choose the correct option:
A) 13 1/3 days
B) 12 1/3 days
C) 15 days
D) 20 days
E) 30 days

Solution: C alone can finish the work in 40 days.   (A + B)can do it in 20 days   (A + B)s 1 days wok = 1/20.   As 1 days work : Bs 1 days Work = 1/2 : 1 = 1:2.   A’s 1 day’s work = (1/20) * (1/3) = (1/60). [Divide 1/20 in the raio 1:2] Bs 1 days work = (1/20) * (2/3) = 1/30   (A+B+c)S 1 day’s work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40   All the three together will finish it in 40/3 = 13 and 1/3 days.   13 1/3 daysNSWER:13 1/3 days
Answer: A
Tough and Tricky questions: Number Properties.
If (z + 6)/8 is an integer, what is remainder when z is divided by 8?	Choose the correct choice from the following choices:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 2ssume the answer choices as the value of z   8/8= 
8/8 = 1
1   2ns 2
Answer: A
In a group of 58 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes? Pick one.
A) 20 B) 10 C) 9 D) 8 E) 7

Solution: Each student is registered forat least one of three classesmeans thatthere are no students who are registered for none of the classes.   Total = {people in group 20} + {people in group B} + {people in group C} - {people in exactly 2 groups} - 2*{people in exactly 3 groups} + {people in none of the groups}:   58 = 25 + 25 + 34 - {people in exactly 2 groups} - 2*3 + 0-->{people in exactly 2 groups}=20   20nswer: 20
Answer: A
Two cars cover the same distance at the speed of 94 and 90 kmps respectively. Find the distance traveled by them if the slower car takes 2 hour more than the faster car?  Select the correct option
A) 1254
B) 2827
C) 2356
D) 2780
E) 2614

Solution: 94(x + 2) = 90x   X = 47   60 * 47 = 2827 km   Answer:2827
Answer: B
Raju has 6 balls. Out of which 4 green 2 blue. He'll pick 2 balls.. Whats probability dat it contain 1 blue and 1 green.. Choose one:
A) 7/15
B) 8/15
C) 9/15
D) 11/15
E) 13/15

Solution: (2/6*4/5)+ (4/6*2/5)=8/15   ANSWER:8/15
Answer: B
The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is? Choices:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Let x be subtracted. Then,   6 - x   7 - x   <   16   21   21 (6 - x) < 16 (7 - x)   5x > 14   x > 2.8   Least such whole number is 3.   3NSWER:3
Answer: A
Out of the five integral numbers C is the average of A and D. B is greater than C and less than D.Also B is the average of A and E . The middle most number in the sequence
Choose the most appropriate option.
A) A	B) B	C) J	D) C	E) D

Solution: Explanation:   D _ C _ A --------(1)   D > B > C --------(2)   from (1) and (2)   D > B > C > A ---------(3)   Again E _ B _ A   But B > A, from (3)   So E > D > B > C > A [ Since B is the average of E and A so it is eqidistant from both E and A]   Answer: B
Answer: B
What is the 10 digit to the right of the decimal point, in the decimal expansion of (1/2)^10?  Choose the correct answer:
A) 9
B) 4
C) 2
D) 1
E) 5

Solution: Step 1 Convert fraction to decimal with two decimal places   1/2= 
  1/2 = 1/2 = around 0.5
0.50 then convert to scientific number= 5*10^-1   Step 2 Multiply 5^10 by 10^-10   Step 3 5 has the sequence 5, 25, 125   Answer is 5
Answer: E
Two buses of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?  Choose the correct option.
A) 10 sec	B) 30 sec	C) 40 sec	D) 20 s	E) 50 sec

Solution: D   Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 120 + 280= 
120 + 280 = 400
400 m.   The time required= d/s = 400/20= 
400/20 = 20
20 sec.
Answer: D
If s is an odd integer, which of the following must also be odd?
Choose the correct choice from the following choices:
A) 2s + 6 B) s + s C) 3s + 3 D) 2s + s E) s^2 + 1

Solution: Things to keep in mind:   Odd + odd = even   Odd + even = odd   Odd*odd = odd   Odd*even = even   On checking each option   A. 2s + 6   2s = even, 2s + 6 = even + even = even.   B. s + s   Odd + odd = even. This will be even   C. 3s + 3   3s = odd, 3s + 3 = odd + odd = even   D. 2s + s   2s = even, 2s + s = even + odd = odd   E. s^2 + 1   s^2 = odd, s^2 + 1 = odd + odd = even   Correct option: 2s + s
Answer: D
If the number 481*673 is completely divisible by 9, what is the the smallest whole number in place of *?	Choose the correct option:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: Let x be the smallest whole number in place of *   481x673 is completely divisible by 9   => (4+8+1+x+6+7+3) is divisible by 9   => (29+x) is divisible by 9   x should be the smallest whole number.   Hence, (29+x)=36   =>x=36−29=7   Answer is 7.
Answer: D
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.83200?	Choose the correct answer
A) 81000	B) 81028	C) 105300	D) 29889	E) 22312

Solution: 83200* 9/8 * 9/8= 
83200* 9/8 * 9/8 = 105_300
105300.Answer:105300
Answer: C
If two numbers are in the ratio 2:3. If 14 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number? Choose the correct choice from the following answers:
A) A)12 B) B)18 C) C)20 D) D)24 E) E)28

Solution: 2:3   2x + 10 : 3x + 10 = 3 : 4   4[2x + 14] = 3[3x + 14]   8x + 56 = 9x + 42   9x - 8x = 56 - 42= 
56 - 42 = 14
14   Then smallest number is= 2   2x = 28   Correct Option 28
Answer: E
Find the number of divisors of 1080 excluding the divisors which are perfect squares. Choose the correct choice from the following answers
A) 28	B) 29	C) 30	D) 31	E) 32

Solution: 1080 = 2^3 *3^3 *5^1   total no. of divisors = (3+1)*(3+1)*(1+1)= 
(3+1)*(3+1)*(1+1) = 32
32   only 4 divisors 1, 2^2=4 , 3^2=9 & 2^2*3^2=36 are perfect squares   so,number of divisors excluding perfect squares divisors = 32-4= 
32-4 = 28
28   28NSWER:28
Answer: A
In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 65, what is the greatest possible value of B × A? Choose the correct choice from the following
A) 0	B) 5	C) 10	D) 15	E) 25

Solution: You should notice that 65*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0= 
0*0 = 0
0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*2= 
5*2 = 10
10 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).   Answer: C   !   Please post PS questions in the PS subforum:gmat-problem-solving-ps-140/   Please post DS questions in the DS subforum:gmat-data-sufficiency-ds-141/   No posting of PS/DS questions is allowed in the mainMath forum.   10
Answer: C
Joan and Karl each bought a telescopes and the sum of their purchases was $400. If twice of what Joan paid was $74 more than what Karl paid, what did Joan pay for her telescope?  Choose the most appropriate option.
A) $150  B) $152  C) $154  D) $156  E) $158

Solution: J+K=400 so K=400-J   2J=K+74   2J=(400-J)+74   3J=474   J=158   The answer is $158.
Answer: E
A train 385 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?  Choose the most appropriate option.
A) 5 sec  B) 21 sec  C) 7 sec  D) 10 sec  E) 52

Solution: Solution   Speed of train relative to man =(60+6) km/hr= 66km/hr   =(66x5/18) m/sec =(55/3) m/sec   ∴ Time taken to pass the man = (385 x 3/55)sec = 21sec   Answer 21 sec
Answer: B
In a apartment, 70% of the people speak English, 10% speak Hindi and 30% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Pick one.
A) 1/3	B) 2/3	C) 2/5	D) 1/2	E) 2/9

Solution: P (E) = 70 / 100 = 3 / 10 , P (H) = 10 / 100 = 1 / 10 and P (E âˆ© H) = 30 / 100 = 3 / 10   P (E or H) = P (E U H)   = P (E) + P (H) - P (E âˆ© H)   = (7 / 10) + (1 / 10) - (3 / 10) = 3 / 10 = 1/2   1/2
Answer: D
Find the fourth proportional to 2.4, 4.6 and 7.6?	Choose the correct choice from the following choices: A) 14.56 B) 15 C) 15.23 D) 15.34 E) 16

Solution: Formula = Fourth propotional = (b × c)/a   14.56 = 2.4 , B = 4.6 and C = 7.6   (4.6 × 7.6)/2.4 = 14.56   14.56
Answer: A
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choose the correct choice from the following options: A) 230 B) 299 C) 267 D) 111 E) 181

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.   230nswer: 230
Answer: A
Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability Y that private Benjamin will be chosen for latrine duty?
Choose the correct choice from the following choices.
A) 1/10	B) 1/5	C) 2/5	D) 3/5	E) 4/5

Solution: Easier way : Desired probability = 1- 'excluded' probability   In this case, Excluded probability = probability of Benjamin not being a part of the 4 volunteers. We can choose 4 out of 9 remaining soldiers in 9C4 ways. total ways possible = 10C4.   Thus excluded probability = 9C4/10C4 = 3/5   Thus, the desired probability Y= 1- 3/5 = 2/5. Thus 2/5 is the correct answer.
Answer: C
If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e?
Select.
A) 165/2	B) 175/2	C) 178/3	D) 187/2	E) 197/2

Solution: by expanding 1535/1038 make form like a+1/[b+1/{c+(d+1/e)}   =1+(497/1038) now a=1   =1+{1/(1038/497)}   =1+{1/(2+42/497)}   =1+{1/(2+1/(497/42)} now b= 2 similarly expand   c=11 d= 1 e=34/8   finally a*b*b*c*d*e   1*2*11*1*34/8   187/2   ANSWER:187/2
Answer: D
A train 100 m long is running at the speed of 30 km/hr. Find the time taken by it to pass a man standing near the railway line.
Choose the correct choice from the following choices
A) 10 sec. B) 12 sec. C) 14 sec. D) 16 sec. E) None

Solution: Solution   Speed of the train	= (30 x 5/18)m/sec   = (25 / 3) m/sec.   Distance moved in passing   the standing man	= 100 m.   Required time taken	= 100 /( 25 / 3)   =(100 x 3 / 25) sec   = 12 sec.   Answer 12 sec.
Answer: B
Whats the reminder when 58,458,965,231,457,895,684,525,465,985,445 is divided by 16	Choose the correct answer:
A) 5
B) 7.
C) 2.
D) 3
E) 9

Solution: A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4. A number ending in 3 zeroes is divisible by 8. A number ending in 4 zeroes in divisible by 16.   Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.   58,458,965,231,457,895,684,525,465,985,445 = 58,458,965,231,457,895,684,525,465,980,000+5,445   The first number is divisible by 16. You just have to find the remainder when you divide 5445 by 16. That will be the remainder when you divide the original number by 16.   5445/16 gives remainder 5.   5nswer (5)
Answer: A
The 3 digits of a number add up to 11. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the 3 digits?	Choose one:  A) 38  B) 40  C) 78  D) 88  E) 125

Solution: xyz is a 3 digit integer divisible by 5. So z can take only 0 or 5. We are also given that x = 2y   This means x+y (2y+y) must be a multiple of 3   xy5 or xy0   CASE 1   x+y+0 = 11   x+y=11   This can't be the case because 11 is not a multiple of 3   CASE 2   x+y+5 = 11   x+y=6   solving we get, x=4y=2   So the 3 digit number is 425   Thus the product of the digits will be = 4 x 2 x 5 = 40   Answer 40
Answer: B
Statement: An earthquake measuring 3.7 hit Delhi and its surrounding areas a little before 3 pm today.
Action:
I. Government should immediately provide financial assistance to the families.
II. People should blame the government for not taking appropriate preventive measures.
Choose the correct choice from the following answers
A) Only I follows B) Only II follows C) Either I or II follows D) Neither I nor II follows E) Both I and II follow

Solution: Explanation:   1st option is not a valid option because financial assistance should be provided by the government but not at this stage. First Priority should be to evacuate people from earthquake hit area.   2nd option is also false because earthquake is a natural disaster. So, blaming government will be of no use.   ANSWER IS Neither I nor II follows
Answer: D
A can finish a piece of work in 4 days. B can do it in 12 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choose the correct answer:  A) 4 DAYS  B) 5 DAYS  C) 6 DAYS  D) 7 DAYS  E) 8 DAYS

Solution: 2/4 + (2 + x)/12 = 1 => x = 4 days   4 DAYSnswer: 4 DAYS
Answer: A