MU-NLPC/Calc-aqua_rat huggingface dataset:
Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ? Choose the correct option:  A) 56 pens  B) 76 pens  C) 75 pens  D) 87 pens  E) 12 pens

Solution: Let the number of pens that A, B, C and D get be a, b, c and d respectively.   a : b = 2 : 1   a = c + 25   b : c = 2 : 3   a : b : c : d = 4 : 2 : 3 : 3   a,d get 4p, 3p pens   => 4p - 3p = 25 (given)   p = 25   => D gets 3p = 3 * 25= 
3 * 25 = 75
75 pens.   Answer:75 pens
Answer: C
A train 160 metres long passes a standing man in 18 seconds. The speed of the train is Pick one.
A) 35 kmph	B) 45 kmph	C) 32 kmph	D) 42 kmph	E) None of these

Solution: From formula Speed = Distance / Time   Thus, Speed = 160 / 18 => 8.88 sec   or, Speed = 8.88 x 18/5 kmph   or, Speed = 32 kmph   ANSWER:32 kmph
Answer: C
How many multiples of 2 are there between 1 and 54, exclusive?	Options:
A) 21
B) 22
C) 24
D) 26
E) 28

Solution: 26   multiples of 2 between 1 and 54 exclusive.   from 2 * 1 upto 2*26, (1,2,3,4,...,26). Hence, 26 multiples !   correct option is 26
Answer: D
find the terms which do not contain 7 between 1000 and 9999	Options.
A) 3168  B) 3169  C) 3170  D) 3172  E) 3174

Solution: Total number of four digit numbers =9000 (i.e 1000 to 9999 )   We try to find the number of numbers not having digit 2 in them.   Now consider the units place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Tens place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Hundreds place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Thousands place can be selected in 8 ways (i.e 1,2,3,4,5,6,,8,9) here '0' cannot be taken   Total number of numbers not having digit 7 in it =9 x 9 x 9 x 8 =5832   3168lso,Total number of numbers having digit 7 in it = 9000-5832= 
9000-5832 = 3_168
3168   3168NSWER:3168
Answer: A
Find the value for x from below equation: x/3=-2?  Choose the correct answer:
A) -6 B) 7 C) -3 D) 4 E) -5

Solution: 1. Multiply both sides by 3:   x*3/3= -2/3   2. Simplify both sides:   x = -6   -6
Answer: A
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?  Choose the correct answer:
A) 20 sec B) 10 sec C) 5 sec D) 30 sec E) 60 sec

Solution: Explanation:   Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   Answer:30 sec
Answer: D
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?  Choose the correct choice:  A) 240  B) 270  C) 295  D) 360  E) 365

Solution: Let the smallest number be x.   Then larger number = (x + 1365)   x + 1365 = 6x + 15   = 5x = 1350   x = 270   Smaller number = 270.   ANSWER:270
Answer: B
How many odd integers Q between 200 and 600 are there such that their tens digit is even?	Choose the correct answer.
A) 20 B) 25 C) 100 D) 150 E) 200

Solution: The hundreds digit can take 4 values: 2, 3, 4 and 5;   The tens digit can take 5 values: 0, 2, 4, 6 and 8;   The units digit can take 5 values: 1, 3, 5, 7 and 9;   Total Q:  4*5*5= 
 4*5*5 = 100
100.   Answer: 100.
Answer: C
A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs. How many hours are required for B to copy 26 papers?  Choose one:  A) 11 hours  B) 12 hours  C) 13 hours  D) 14 hours  E) 18 hours

Solution: A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs.   It means B can copy 20 papers in 10 hrs.   Then time taken by B to copy 26 papers = 26*10/20= 
26*10/20 = 13
13 hours   ANSWER:13 hours
Answer: C
The three digits of a number add up to 23. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?	Pick:  A) 350  B) 720  C) 360  D) 380  E) 425

Solution: Say the three-digit number is abc.   The leftmost digit is double the middle digit --> a=2b;   The number is divisible by 5 --> c is either 0 or 5;   The three digits of a number add up to 23 --> a+b+c=23   So, either a+b+c=2b+b+0=23 or a+b+c=2b+b+5=23. The first equation does not give an integer value of b, so it's not the case. From the second we get that b=6 --> a=12 and c=5 --> a*b*c=360.   Answer: 360.
Answer: C
34 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?	Select
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Total people = number of men + number of women   34 = 4 + number of married men + 22   number of married men = 34 - 22-4= 
34 - 22-4 = 8
8 men   ANSWER:8
Answer: D
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choose the correct choice from the following choices
A) 750	B) 888	C) 261	D) 787	E) 17`

Solution: 1/2:1/3:1/4 = 6:4:3   Ram = 6/13 * 3250= 
6/13 * 3250 = 1_500
1500   Shyam= 4/13 * 3250= 
4/13 * 3250 = 1_000
1000   Mohan= 3/13 * 3250= 
3/13 * 3250 = 750
750   750nswer: 750
Answer: A
John bought 2 shares and sold them for $96 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Pick
A) a profit of $10	B) a profit of $8	C) a loss of $8	D) a loss of $10	E) neither a profit nor a loss

Solution: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss   Total Selling Price = 96*2= 
96*2 = 192
$192   Total a loss of $8ost Price= 196/(0.96) = $200   Loss = 200-192= 
200-192 = 8
$8   Answer: Option a loss of $8
Answer: C
A student chose a number, multiplied it by 2, then subtracted 180 from the result and got 104. What was the number he chose?
Choose the correct answer:
A) 90 B) 100 C) 120 D) 142 E) 200

Solution: Solution:   Let x be the number he chose, then   2*x*180=104   2x=284   x=142   correct answer 142
Answer: D
Bhanu spends 30% of his income on petrol on scooter 20% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?	Choose the correct choice from the following options.
A) 2287 B) 140 C) 128 D) 797 E) 123

Solution: Given 30% (Income ) = 300 ⇒⇒ Income = 1000   After having spent Rs.300 on petrol, he left with Rs.700.   His spending on house rent = 20% (700) = Rs.140   Answer:140
Answer: B
The average of 5 quantities is 12. The average of 3 of them is 4. What is the average of remaining 2 numbers?	Pick:
A) 24	B) 10	C) 8	D) 9.5	E) None of these

Solution: 24NSWER: 24   (5x12-3x4)/2=24
Answer: A
For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 50 of this series? Select:
A) 3975
B) 4125
C) 4375
D) 4525
E) 4775

Solution: Each term of the series has the form (n+n+1+n+2) = 3n+3   Since the series goes from 1 to 50, the sum of the series is:   3(1+2+...+50) + 50(3) ( + +1+ +2)= 
( + +1+ +2) = 3
3n+3   Since the series goes from 1 to 50, the sum of the series is:   3(1+2+...+50) + 50(3)=   3(50)(51)/2 + 50(3) =   75*51 + 150= 
75*51 + 150 = 3_975
3975   The answer is 3975.
Answer: A
Harry started a 6-mile hike with a full 7-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike? Choose the correct choice from the following options:
A) 1/5	B) 2/3	C) 1/3	D) 3/5	E) 4/5

Solution: A.   No of cups leaked during the trip = 2 cups.   No of cups Harry drank = 4 cups.   No of cups harry drank during the first 5 miles = 4.   drink / mile = 4/5   Answer: 4/5
Answer: E
Consider the word RMTMR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5 letter palindromes.
Choose the correct choice from the following
A) 16500 B) 17568 C) 17576 D) 13454 E) 18776

Solution: The first letter from the right can be chosen in 26 ways because there are 26 alphabets.   Having chosen this, the second letter can be chosen in 26 ways   The first two letters can chosen in 26 x 26 = 676 ways   Having chosen the first two letters, the third letter can be chosen in 26 ways.   All the three letters can be chosen in 676 x 26 =17576 ways.   It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.   17576
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.  Choose the correct choice from the following:
A) 150 meter
B) 299 meter
C) 278 meter
D) 208 meter
E) 277 meter

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 9= 
  (50/3) * 9 = 150
150 meter   150 meternswer:150 meter
Answer: A
If the sum of n consecutive positive integers is 33, what of the following could be the value of n?
I. 3
II. 6
III. 11 Choose the correct answer:
A) I only
B) II only
C) III only
D) I and II
E) I, II and III

Solution: solved it the way bunuel explained, although took some time to arrive to the answer choice.   3 -> 10+11+12=33.   6 ->3+4+5+6+7+8=33.   11 -> since we are told that we have a set of n consecutive POSITIVE numbers, we can have the smallest possible numbers:   1+2+3+4+5+6+7+8+9+10+11 - the sum is way over 33, it is actually 11*12/2 6 - 3+4+5+6+7+8= 
6 - 3+4+5+6+7+8 = 33
33.   11 -> since we are told that we have a set of n consecutive POSITIVE numbers, we can have the smallest possible numbers:   1+2+3+4+5+6+7+8+9+10+11 - the sum is way over 33, it is actually 11*12/2= 11*6= 
11*6 = 66
66.   thus, only I and II works. the answer is I and II
Answer: D
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km. Options
A) 22
B) 99
C) 24
D) 77
E) 898

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   Average speed = 3x/(x/8) = 24 kmph.Answer: 24
Answer: C
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Choose the correct choice
A) 12  B) 15  C) 14  D) 18  E) 17

Solution: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.   ANSWER 14
Answer: C
A certain school principal must choose 5 students to attend a field trip out of a group of 10 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choose the correct choice from the following choices:
A) 1,260
B) 2,520
C) 5,040
D) 6,020
E) 10,080

Solution: Out of 10 students, 5 students can be chosen in 10C5 ways.   Out of the 5 chosen students, note taker role can be taken in 5 ways   Since the note taker role is already taken by 1 student, the treasure role can be taken in 4 ways   Total number of ways = 105,0405 * 5 * 4 = 5040   Answer: 5,040
Answer: C
What is the remainder when 3990990900032 is divided by 32 ?	Select:
A) 0
B) 8
C) 4
D) 2
E) 3

Solution: Though i was unaware of the divisibility test for 32 but i guessed the pattern!!   divisibility rule for 4- last two digits must be divisible by 4   divisibility rule for 8- last three digits must be divisible by 8   similarly, divisibility rule for 32 - last five digits must be divisible by 32   Hence, 0ns 0
Answer: A
From the below series find the remainder?
1201 × 1203 ×1205 × 1207 is divided by 6
Choose the correct option:  A) 3  B) 6  C) 8  D) 4  E) 9

Solution: If you don't know the above rule, this problem is really calculation intensive.   But by applying the above rule, when 1201, 1201, 1203, 1204 divided by 6, leaves remainders 1, 3, 5, 1. The product of these remainders = 15.   When 15 is divided by 6, Remainder is 3   3
Answer: A
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A? Choose the most appropriate option
A) 8
B) 6
C) 9
D) 3
E) 1

Solution: There are five letters in the given word.   Consider 5 blanks ....   The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.   The number of words = 3! = 6.   Answer:6
Answer: B
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
A) 100  B) 125  C) 122.2  D) 105.5  E) 65

Solution: 1) Let the price of jacket initially be $100.   2) Then it is decreased by 25% , therefore bringing down the price to $75.   3) Again it is further discounted by 30%, therefore bringing down the price to $45.   4) Now 67.5 has to be added byX %in order to equal the original price.   45 + ( X% ) 45 = 100.   Solving this eq for X, we get X = 122.2   Ans is 122.2.
Answer: C
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $38. If $2,000 is the total amount invested, how much is invested at 8 percent? Choose the correct option.
A) $700  B) $800  C) $900  D) $1100  E) $1200

Solution: 0.1x = 0.08(2000-x)+38   0.18x = 198   x = 1100   Then the amount invested at 8% is $2000 - $1100 = $900   The answer is $900.2000 -  1100= 
2000 -  1100 = 900
$900   The answer is $900.
Answer: C
a is a positive integer and multiple of 2; p = 4^a, what is the remainder when p is divided by 10? Options.
A) 10  B) 6  C) 4  D) 0  E) It Cannot Be Determined

Solution: It is essential to recognize that the remainder when an integer is divided by 10 is simply the units digit of that integer. To help see this, consider the following examples:   4/10 is 0 with a remainder of 4   14/10 is 1 with a remainder of 4   5/10 is 0 with a remainder of 5   105/10 is 10 with a remainder of 5   It is also essential to remember that the a is a positive integer and multiple of 2. Any integer that is a multiple of 2 is an even number. So, a must be a positive even integer.   With these two observations, the question can be simplified to:what is the units digit of 4 raised to an even positive integer?   The units digit of 4 raised to an integer follows a specific repeating pattern:   4^1 = 4   4^2 = 16   4^3 = 64   4^4 = 256   4^(odd number) --> units digit of 4   4^(even number) --> units digit of 6   There is a clear pattern regarding the units digit. 4 raised to any odd integer has a units digit of 4 while 4 raised to any even integer has a units digit of 6.   Since a must be an even integer, the units digit of p=4^a will always be 6. Consequently, the remainder when p=4^a is divided by 10 will always be 6.   In case this is too theoretical, consider the following examples:   a=2 --> p=4^a=16 --> p/10 = 1 with a remainder of 6   a=4 --> p=4^a=256 --> p/10 = 25 with a remainder of 6   a=6 --> p=4^a=4096 --> p/10 = 409 with a remainder of 6   a=8 --> p=4^a=65536 --> p/10 = 6553 with a remainder of 6   Answer: 6.
Answer: B
A room 8 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.  Choose the correct choice from the following:  A) 13636  B) 13440  C) 13647  D) 13431  E) 13675

Solution: Explanation:   Area of the room = (847 x 777) cm2.   Size of largest square tile = H.C.F. of 847 cm and 777 cm = 7 cm.   Area of 1 tile = (7 x 7) cm2.   Number of tiles required =(847×777)/(7×7)=13431   Answer: Option 13431
Answer: D
A large delicatessen purchased Q pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)	Choose the correct option:
A) (p − d)(s − c)
B) s(p − d) − pc
C) c(p − d) − ds
D) d(s − c) − pc
E) pc − ds

Solution: Total cost price = c*Q ............... (1)   Wastage = d pounds   Quantity sold = p-d   Selling price per pound = s   Total selling price = s(Q-d) ........... (2)   Profit = (2) - (1)   = s(Q-d) - cQ   pc − ds
Answer: E
What is the sum of all the composite numbers up to 12?
Choose the correct choice from the following choices.
A) 21	B) 20	C) 36	D) 40	E) 49

Solution: 49xplanation:   4 + 6 + 8 + 9 + 10 +12 = 37   Answer: 49
Answer: E
If n is the product of 3 consecutive integers, which of the following must be true about n?
I. n is a multiple of 2
II. n is a multiple of 3
III. n is a multiple of 4 Choose the correct choice from the following choices:
A) I only
B) II only
C) III only
D) I and II
E) II and III

Solution: n is the product of 3 consecutive integers.   So, according to the rule, n must be divisible by 3, 2 and 1   So, we already know that statements I and II must be true.   Do we need to check statement III? No.   Notice that NONE of the answer choices include all 3 statements. Since we've already concluded that statements I and II are true, the correct answer is I and II.
Answer: D
How many positive even integers less than 100 contain digits 7 or 9?
Select the correct option
A) 16
B) 17
C) 18
D) 19
E) 10

Solution: Two digit numbers:   7 at tens place: 70,72,74,76,78   9 at tens place: 90,92,94,96,98   If 7 and 9 is at units place, the number cant be even   Total:5+5= 
5+5 = 10
10   Answer 10
Answer: E
36 men can complete a piece of work in 18 days. In how many days will 72 men complete the same work ?  Choose the correct choice from the following answers
A) 24 B) 17 C) 18 D) 9 E) 11

Solution: Explanation:   Less Men, means more 9ays {Indirect Proportion}   Let the number of days be x   then,   72 : 36 :: 18 : x   x = 9   Answer: 9) 9 days
Answer: D
If x is a positive integer, which of the following must be odd? Choose the correct choice from the following options
A) x+1
B) x^2+x
C) x^2+x+7
D) x^2−1
E) 3x^2−3

Solution: A. X+1 = can be odd or even. Since O + O =E or E + O = O   B. X^2 + X = X(X+1). Since from the above derivation we already know the term X+1 can be Odd or Even, directly substitute here. X(ODD) = Even (When X is Even) or X(EVEN) = EVEN [When X is ODD]   C. Here's the answer. Since we know the term x^2 + X can always take a EVEN number, EVEN + 7 = ODD   Hence x^2+x+7.
Answer: C
The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choose the most appropriate option
A) 265  B) 288  C) 245  D) 776  E) 232

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (110 + X)/30 = 25/2 ==> 2(110 + X) = 750 ==> X   = 265 m.   265nswer:265
Answer: A
A bag contains 8 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Pick:
A) 1/13
B) 2/23
C) 5/26
D) 7/30
E) 3/23

Solution: P(Both are red),   =8C216C2=8C216C2   =28/120=7/30   7/30
Answer: D
A train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds.The speed of the second train is	Pick one.
A) 60 kmph B) 66 kmph C) 72 kmph D) 99 kmph E) 89 kmph

Solution: Given that two trains are of same length i.e..150 mtrs   first train passes the km stone in 15 seconds. here we have time and distance so speed=150/15= 
150/15 = 10
10 m/s   we need to find out the second train speed.   suppose the speed of the 2nd train is x m/s   Relative speed of two trains is (10+x)==> (150+150)/(10+x)=8   ==> (300)/(10+x)=8   ==> 300=80+8x   ==> 300-80=8x   ==> 220=8x   :- x=55/2 m/s   convert m/s into km/ph     (55/2)*(18/5)= 
  (55/2)*(18/5) = 99
99kmph   ANSWER:99 kmph
Answer: D
A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choose the most appropriate option
A) 120 B) 160 C) 200 D) 240 E) 300

Solution: The number of ways to select two men and three women = 4C2 * 6C3 = 6 * 20= 
6 * 20 = 120
120   The answer is 120.
Answer: A
The sides of a cube are in the ratio of 1:2 the ratio of their volumes is ?
Choose the correct option:
A) 1:2	B) 1:4	C) 1:8	D) 2:1	E) 2:4

Solution: 1:8Answer : 1:8
Answer: C
A alone can do a work in 12 days. A and B together finished work and got rs.54 and rs.18 respectively. In how many days was the work finished?
Options: A) 12 B) 14 C) 9 D) 10 E) 8

Solution: A does the work in 12 days   and A and B together finished work and got rs.54 and rs.18 respectively   so B will do work in  12*3= 
 12*3 = 36
36 days (because he got 1/3 money relative to other)   so one day work= 1/12 + 1/36 = 4/36 = 1/9   so total days required = 9   ANSWER:9
Answer: C
A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 27 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?  Choose the correct choice from the following choices
A) 14
B) 45
C) 54
D) 65
E) 41

Solution: Just check the answers and reverse the numbers until you get 27.   41 - 14= 
41 - 14 = 27
27   Answer 41
Answer: E
A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Choose the correct choice from the following answers.
A) 45(4/11) %  B) 45 %  C) 53(11/13) %  D) 44(5/11) %  E) None of these

Solution: Explanation :   Total runs scored = 130   Total runs scored from boundaries and sixes = 3 x 4 + 8 x 6 = 60   Total runs scored by running between the wickets = 130 - 60= 
130 - 60 = 70
70   Required %= (70/130) × 100 = 700/13 = 53(11/13)%   Answer : Option 53(11/13) %
Answer: C
The L.C.M of two numbers is 48. The numbers are in the ratio 4:3. The sum of numbers is:	Options.
A) 28 B) 30 C) 40 D) 50 E) 60

Solution: Let the numbers be 4x and 3x.   Then, their L.C.M = 12x. So, 12x = 48 or x = 4.   The numbers are 16 and 12.   Hence, required sum = (16 + 12)= 
(16 + 12) = 28
28.   28NSWER:28
Answer: A
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?	Choose the correct choice from the following options
A) 150	B) 190	C) 100	D) 240	E) 280

Solution: Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x kilograms. So, the total is x+2x=3x This must be equal to 360.   3x=360   x=360/3= 
360/3 = 120
120   Therefore, the salesman sold 120 kg in the morning and 2⋅120=240 kg in the afternoon.
Answer: D
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 8 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?  Choose the correct choice from the following answers
A) 61
B) 62
C) 65
D) 63
E) 64

Solution: Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:   Assuming x motorcycles were sold every month initially.   (568000/x + 1000)(x-8) = 594000   (568/x + 1)(x-8) = 594   Now 568 = 8*71   Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.   We get  9*66= 
 9*66 = 594
594 (matches)   So he will sell  71 - 8= 
 71 - 8 = 63
63 bikes this month   Answer (63)
Answer: D