MU-NLPC/Calc-aqua_rat huggingface dataset:
How many different positive integers are factors of 40?	Choose one:	A) 3	B) 2	C) 1	D) 6	E) 4

Solution: 2*20   4*10   8*5   Answer : 6
Answer: D
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 91, the three numbers in order are?  Choose the correct choice from the following options.
A) 39, 78, and 156
B) 39, 156, and 78
C) 78, 39, and 156
D) 78, 156, and 39
E) 156, 39, and 78

Solution: Let the numbers be 2x, x and 4x   (2x + x + 4x)/3 = 91   7x/3 = 91   x = 39   The numbers in order are 78, 39, and 156   The answer is 78, 39, and 156.
Answer: C
If |x – 9/2| = 5/2, and if y is the median of a set of r consecutive integers, where r is odd, which of the following must be true?
I. xyr is odd
II. xy(r^2 + r) is even
III. x^2y^2r^2 is even
Select the correct option:
A) II only is true	B) III only is true	C) I and III	D) II and III	E) I, II, and III

Solution: given:   r is Odd   y is the median of odd numbers, hence y is Odd   x = solving the modulus you get 7 and 2. Hence x is Even or Odd   Therefore: r = O, y = O and x = O or E   Statement I = x*y*r = y*r*x = O x O x O/E = O x O/E = Odd or even. So False   Statement II = xy(r^2 + r) = O/E x O (O + O) = O/E x O(E) = O/E x E = Always Even. So true   Statement III. x^2y^2r^2 is even. E/O x O x O = Odd or even. Hence False.   II only is truenswer = II only is true.
Answer: A
How many seconds will a train 200 meters long running at the rate of 36kmph take to pass a certain telegraph post?  Choose the correct answer
A) 10sec  B) 20sec  C) 25sec  D) 30sec  E) 35sec

Solution: Distance = length of train = 200meters   Speed = 36kmph = 36*5/18= 
36*5/18 = 10
10m/s   Required time= 200/10= 
200/10 = 20
20sec   Answer is 20sec
Answer: B
A machine, working at a constant rate, manufactures 18 pens in 30 minutes. How many pens does it make in 1 hr 45 min?	Choose the most appropriate option:
A) 63 B) 65 C) 62 D) 60 E) 45

Solution: Change 1 hr 45 min to 105 min. For this, we need to set up a simple proportion of pens per time   18/30= S/105   The absolutely worst thing you could do at this point in the problem is to cross-multiply. That would be a supremely unstrategic move. Instead, cancel before you multiply. For what we can see this post. We can cancel 18/30 as 6/10   6/10= S/105   we can cross-multiply.   10*S = 6*105= 
6*105 = 630
630   If we divide both sides by 10,   S= 63   The machine would be 63 pens in 1 hr 45 min.   63nswer: 63
Answer: A
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 2? Choose the correct answer
A) 15	B) 16	C) 17	D) 18	E) 19

Solution: 18   All numbers divisible by two must be even, therefore the two digit number must end in 2, 4, or 6. There are three possibilities for each odd number first digit and two combinations for each even first number digit. 4x3 + 3x2 =18   Correct answer is 18.
Answer: D
how many 4x5x8 cubes could fit in a 10x16x84 box? Choose the correct answer:
A) 84
B) 90
C) 85
D) 77
E) 64

Solution: The answer is A) 84. The 10x16x84 box has an area of 13,440. The 4x5x8 cubes have an area of 160. If you divide 13,440 by 160, you get 84.
Answer: A
If C = x% of y and B = y% of x, then which of the following is true?
Choose the correct option:
A) 1) C is smaller than B.
B) 2) C is greater than B
C) 3) Relationship between C and B cannot be determined.
D) 4) If x is smaller than y, then A is greater than B.
E) 5) None of the above

Solution: Basically C = B = xy/100   None of the options mentions this; hence 5) None of the above.
Answer: E
If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 6)?
Choose the correct choice from the following choices
A) 3	B) P + 2	C) 6p – 1	D) 2p – 1	E) 2p + 1

Solution: The number of integers between x and y, where x>y is (x-y)-1. For example, the number of integers between 1 and 5 is  (5-1)-1= 
 (5-1)-1 = 3
3: 2, 3, and 4.   Thus, the number of integers between pq and p(q+6)=pq+6p is (pq+6p-pq)-1=6p-1.   Answer: 6p – 1.
Answer: C
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/r, which of the following statements could be false?  Choose the correct choice from the following
A) n is a factor of both a and b  B) (a*b)/n < ab  C) ab is multiple of 2.  D) (a*b)/n is a multiple of 2.  E) r is a multiple of 4.

Solution: If we divide bynand get a multiple ofaand of b, then r must be a common factor. Answer A must be true.   Ifaandbare even integers, dividing by a factor (also an integer) results in something smaller than the productab. Answer B must be true.   If eitheraorbis even, thenabmust be even. Answer C must be true.   If both are even, the smallest either number can be is 2. Thus, the smallest common factor must be 2. Answer D must be true.   Ifbis 6 andais 2,nwould be 6, which is not 4. r is a multiple of 4. can be false.
Answer: E
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?
Choose the correct choice from the following answers:
A) 1:1	B) 1:2	C) 1:9	D) 1:6	E) 1:4

Solution: 1:1 square and a rhombus on the same base are equal in area   1:1nswer: 1:1
Answer: A
Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 50 marks. How many sums did Sandy get correct?
Choices
A) 20 B) 22 C) 24 D) 26 E) 28

Solution: Let x be the correct sums and (30-x) be the incorrect sums.   3x - 2(30-x) = 50   5x = 110   x = 22   The answer is 22.
Answer: B
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?	Choose the correct choice from the following answers: A) 1000 B) 1200 C) 1450 D) 1550 E) 2000

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   and 5x art books = 2000   2000
Answer: E
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:  Choose the correct choice from the following choices
A) 51:52
B) 52:53
C) 51:53
D) 52:55
E) 52:59

Solution: Let C.P. of the article be Rs. x.   Then, required ratio = 104% of x / 106% of x   = 104/106 = 52/53 = 52:53   Answer: Option 52:53
Answer: B
the sum of seven consecutive integers is 980. How many of them are
prime?  Choices:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: The middle number is 140 and the seven numbers are 137, 138, 139, · · · , 143.   Now 138, 140, and 142 are even, 141 is divisible by 3, and 143 - by 11. The remaining   numbers 137 and 139 are prime (it is easy to check that they are not divisible by 2,3,5,7   and 11).   correct answer 2
Answer: C
If J and X are integers, and 10J + X is odd, which of the following must be true?  Pick one
A) J is odd  B) J is even  C) X is odd  D) X is even  E) both J and X are odd

Solution: 10J will be always even as 10 has 2 as one of its factors   if 10J+X is odd, then the only possible explanation is that X is odd   correct answer X is odd
Answer: C
A car takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choose the correct answer:
A) 10Kmph
B) 20Kmph
C) 15Kmph
D) 30Kmph
E) 25Kmph

Solution: Time = 6   Distance = 280   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 180/9= 
180/9 = 20
20 Kmph   20Kmph)
Answer: B
Which of the following is equal to 0.024 × 106 ?
Choose the correct option:  A) 2400000  B) 240000  C) 24000  D) 2400  E) None of these

Solution: Explanation :   0.024 × 106 = 0.024 × 1000000 = 24000. Answer : Option 24000
Answer: C
In how many ways letters of the word RSCUPESATE be arranged?	Choose the correct choice: A) 256899 B) 286457 C) 395446 D) 354678 E) 302400

Solution: RESUPESATE has 10 letters, out of which E repeated 3 times, R repeated 2 times. Hence total ways = 10! / (3!*2!) = 302400 ways   302400
Answer: E
The following statements were made on the same day:
• It was Monday yesterday.
• Today is Thursday.
• The day after tomorrow will be Friday.
• Tomorrow will be Saturday.
• The day before yesterday was Tuesday.
Given that the number of correct statements above uniquely determines the day of the week
the statements were made, what day of the week were the statements made?	Pick one:
A) Monday	B) Tuesday	C) Wednesday	D) Thursday	E) none of the previous choices

Solution: If all statements are false, the day is either Monday, Saturday, or Sunday. If exactly one   statement is true, the day is either Tuesday, Wednesday, or Friday. If exactly two statements   are true, the day is Thursday. Only in the later case the number of correct statements uniquely   determines the day of the week.   correct answer Thursday
Answer: D
How many positive integers less than 253 are multiple of 4 but NOT multiples of 6?	Pick:  A) 20  B) 41  C) 42  D) 53  E) 64

Solution: From here, it might be easier to go up in bounds of 60, so we know that 61-120 gives 10 more numbers. 121-180 and 181-240 as well. This brings us up to 240 with 40 numbers. A cursory glance at the answer choices should confirm that it must be 42, as all the other choices are very far away. The numbers 244 and 248 will come and complete the list that’s (naughty or nice) under 250. Answer choice 41 is correct here.
Answer: B
Of the 65 cars on a car lot, 30 have air-conditioning, 45 have air bag, and 12 have both air-conditioning and air bag. How many of the cars on the lot have neither air-conditioning nor air bag?  Select:
A) 2
B) 8
C) 10
D) 15
E) 18

Solution: Total -Neither = All Air Conditioning + All air bags - Both   or 65 - Neither = 30 + 45 -12= 
30 + 45 -12 = 63
63.=> Neither = 2, hence C.   Answer : 10
Answer: C
The average of first five multiples of 6 is  Choose the correct choice from the following choices.
A) 3  B) 18  C) 9  D) 12  E) 15

Solution: Solution   Average	= 6(1+2+3+4+5) / 5   = 90 / 5.= 
90 / 5. = 18
18   Answer 18
Answer: B
Reduce
368/552
to the lowest terms
Choose the correct choice from the following options.
A) 2/3 B) 2/9 C) 2/8 D) 16/25 E) None of these

Solution: Explanation:   We can do it easily by in two steps   Step1: We get the HCF of 368 and 552which is 184   Step2: Divide both by 184, we will get the answer 2/3   2/3nswer: Option 2/3
Answer: A
A box contains 3 white balls, 4 black balls and 5 yellow balls. In how many ways can 4 balls be drawn from the box, if at least one yellow ball is to be included in the draw?
Choose one.
A) 652	B) 547	C) 425	D) 356	E) 346

Solution: We may have (1 yellow and 3 others) or (2 yellow and 2 others) or (3 yellow and 1 others) or (4 yellow).   Therefore, Required number of ways= (4C1*8C3)+ (4C2*8C2)+ (4C3*8C1)+ (4C4)   = 4* 8*7*6/ 3*2*1 + 4*3/2*1 * 8*7/2*1 + (4C1*8) +1   = 224+168+32+1= 
224+168+32+1 = 425
425.   ANSWER:425
Answer: C
If Susan can paint a house in 4 hours, and Jeff can paint the same house in 6 hours, how long will it take for both of them to paint the house together?	Choose one.
A) 2.4 hr	B) 2.6 hr	C) 3.0 hr	D) 5.0 hr	E) 5.2 hr

Solution: If Susan can paint the house in 4 hours, then in 1 hour she can paint 1/4 of the house.   If Jeff can paint the house in 6 hours, then in 1 hour he can paint 1/6 of the house.   Let x = number of hours it would take them together to paint the house so,   1/4 + 1/6 = 1/x   x=12/5 or 2.4 hours   2.4 hrnswer: 2.4 hr
Answer: A
3850 * 99 Choose the most appropriate option
A) 382550	B) 384560	C) 385690	D) 389650	E) 381150

Solution: 381150xplanation:   3850 * (100 - 1)   = 385000 - 3850= 
385000 - 3850 = 381_150
381150   Option 381150
Answer: E
The average temperature for Tuesday, Wednesday and Thursday was 32°C. The average temperature for Wednesday, Thursday and Friday was 34°C. If the temperature on Friday be 44°C, what was the Temperature on Tuesday? Choose the correct choice from the following answers: A) 39°C B) 44°C C) 38°C D) 42°C E) None of these

Solution: Explanation:   T + W + T = 32 × 3 = 96°38°C   W+ T+ F = 34 × 3 = 102°38°C   Also, temperature on Friday = 44°38°C   Temperature on Tuesday = 96 +44 - 102= 
96 +44 - 102 = 38
38°38°C   Answer: Option 38°C
Answer: C
Find the value of (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…..+ ((1/(9*10)).
Choose the correct choice:
A) 2 B) 2/5 C) 3 D) 3/5 E) 4/5

Solution: Given expression=((1/2)-(1/3))+((1/3)-(1/4))+((1/4)-(1/5))+((1/5)-(1/6))+….+ ((1/9)-(1/10))   =((1/2)-(1/10))=4/10 = 2/5.   ANSWER 2/5 2/5
Answer: B
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $66,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?	Pick.
A) $24,000  B) $28,000  C) $32,000  D) $36,000  E) $38,000

Solution: The answer should be -> E. $38,000
Answer: E
A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?  Choose the most appropriate option
A) 200
B) 100
C) 250
D) 150
E) 160

Solution: 25 + 25= 
25 + 25 = 50
50   25% ------ 50   100% ----- ?=> 200   200NSWER 200
Answer: A
The largest one digit number which is a perfect cube, is:
Choose the correct answer.
A) 7	B) 8	C) 9	D) 1	E) 0

Solution: Explanation:   2*2*2= 
2*2*2 = 8
8   Answer: 8
Answer: B
On Monday, Lou drives his vehicle with 24-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second?
Choose the correct option.
A) Decrease by 14.3%
B) Decrease by 25%
C) Increase by 14.3%
D) Increase by 12.5%
E) Cannot be determined with the given information.

Solution: 96 the LCM   On Tuesday  96/32= 
 96/32 = 3
3   On Monday  96/24= 
 96/24 = 4
4   Therefore, 3-4/4= -1/4=-25% decrease   Answer is Decrease by 25%
Answer: B
How many integers between 1 and 10^16 are such that the sum of their digits is 2? Choose the correct option
A) 106
B) 116
C) 126
D) 136
E) 146

Solution: The integers with a sum of 2 are:   2, 20, 200,...,2*10^15 and there are 16 integers in this list.   Also, these integers have a sum of 2:   11   101, 110   1001, 1010, 1100   etc...   The number of integers in this list is 1 + 2 + ... + 15   Thus, the total number of integers is 1 + 2 + ... + 15 + 16 = 16*17/2= 
16*17/2 = 136
136   The answer is 136.
Answer: D
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:  Select the correct option.
A) 1570  B) 3670  C) 3510  D) 1520  E) 2520

Solution: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.   Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m^2 = 2520 m^2.   ANSW2520R:2520
Answer: E
A coin is weighted so that the probability of heads on any flip is 0.8, while the probability of tails is 0.2. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice? Choose the correct choice from the following choices:
A) (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2	B) (0.8)^5 + 4(0.8)^4(0.2) + 6(0.8)^3(0.2)^2	C) (0.6)^5 + 3(0.6)^4(0.4) + 2(0.6)^3(0.4)^2	D) (0.8)^5 + 2(0.8)^4(0.2) + (0.8)^3(0.2)^2	E) (0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2

Solution: Probability of Head, P(H) = 0.8   Probability of Tail, P(T) = 0.2   Tail will appear NO more than twice   i.e. favourable cases   2 Tails and 3 Heads, Probability = 5C2*(0.8)^3*(0.2)^2   1 Tail and 4 Heads, Probability = 5C1*(0.8)^4*(0.2)^2   0 Tail and 5 Heads, Probability = (0.8)^5   Required Probability = Sum of all Favourable cases = (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2   (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2nswer: option (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2
Answer: A
What number is 64 more than two-fourth of itself?	Choose the correct choice from the following answers
A) 128	B) 225	C) 288	D) 324	E) 336

Solution: 2/4x+64= x   That means 64=2/4x   x= 64*2= 
64*2 = 128
128   128 is the answer
Answer: A
When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $109.20, what was the total value of the item?	Choose the correct choice from the following options.
A) $1,600
B) $1,850
C) $2,250
D) $2,440
E) $2,560

Solution: Let x be the value of the item.   0.07*(x-1000) = 109.20   x = 2560   The answer is $2,560.
Answer: E
Find the area of a parallelogram with base 26 cm and height 14 cm? Pick one
A) 287 cm2
B) 887 cm2
C) 364 cm2
D) 368 cm2
E) 668 cm2

Solution: Area of a parallelogram = base * height   = 26 * 14= 
26 * 14 = 364
364 cm2   Answer: 364 cm2
Answer: C
If an ant moves a distance x,then turn left 120 degree and travel x distance again and turn right 120 dgree and travel, he is 9 inches from the starting point, what is the value of x?
Pick one.
A) 9√9 B) 9√3 C) 9√6 D) 7√3 E) 9√4

Solution: See the above diagram. (A bit confusing though!!)   The ant starts from A travelled to B, turned 120 degrees left and travelled to C. and turned 120 degrees right and travelled to D.   From the diagram, ∠ACB=600∠ACB=600. As BC and AB are equal, ∠BCA=∠BAC=600∠BCA=∠BAC=600.   So ΔABCΔABC is equilateral.   Also ∠BCD=600∠BCD=600.   As, ∠ACB=∠BCD∠ACB=∠BCD equal, CB divides AD into two equal parts. Aso DE = 9/2.   In the triangle CED, Sin600=3–√2=92xSin600=32=92x   So x=9√3   Answer:9√3
Answer: B
The ratio of the volumes of two cubes is 1000 : 3375. What is the ratio of their total surface areas?
Select.
A) 81 : 121	B) 4 : 9	C) 729 : 1331	D) 27 : 121	E) None of these

Solution: Ratio of the sides = Â³âˆš1000 : Â³âˆš3375 = 10 : 15   Ratio of surface areas = 10^2: 15^2 =100 : 225 = 4: 9   ANSWER:4 : 9
Answer: B
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car? Options:	A) 89 kmph	B) 92 kmph	C) 75 kmph	D) 65 kmph	E) 77 kmph

Solution: 75 kmph   75 kmph   S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph
Answer: C
How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 14?	Choose the most appropriate option
A) 25  B) 26  C) 27  D) 28  E) 29

Solution: 200/13 = 15 (plus remainder) so there are 15 multiples of 13   200/14 = 14 (plus remainder) so there are 14 multiples of 14   We need to subtract 1 because 13*14 is a multiple of both so it was counted twice.   The total is  15+14-1= 
 15+14-1 = 28
28   The answer is 28.
Answer: D
The contents of a certain box consist of 14 apples and 26 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?  Answers:
A) 3 B) 6 C) 14 D) 17 E) 20

Solution: The objective here is that 70% of the fruit in the box should be apples.   Now, there are 14 apples at start and there is no talk of removing any apples, so number of apples should remain 14 and they should constitute 70% of total fruit, so total fruit = 14/0.7= 
14/0.7 = 20
20   So we should have 20-14= 
20-14 = 6
6 oranges.   Right now, there are 26 oranges, so to get to 6 oranges, we should remove 26 - 6= 
26 - 6 = 20
20 oranges.   Answer 20
Answer: E
How many different three-digit multiples of 5 can be composed of digits 2, 6, 4, and 5 if none of the digits is repeated?	Choose the correct choice from the following options.
A) 3	B) 6	C) 10	D) 12	E) 18

Solution: can you explain your method. i solved it differently   XYZ, where Z must be 5. therefore 1 variation of digit in Z.   Y can be any of the 3 possible choices.   X can be any of the 2 possible choices.   2+3+1= 
2+3+1 = 6
6   6
Answer: B
A student scored an average of 55 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics? Choose one:  A) 86  B) 165  C) 76  D) 155  E) 26

Solution: Given M + P + C = 55 * 3= 
55 * 3 = 165
165 --- (1)   M + P= 90 * 2= 
90 * 2 = 180
180 --- (2)   P + C= 70 * 2= 
70 * 2 = 140
140 --- (3)   Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.   P= (2) + (3) - (1) = 180 + 140 - 165= 
180 + 140 - 165 = 155
155   Answer:155
Answer: D
A rectangular floor is covered by a rug except for a strip 2 meters wide along each of the four edge. If the floor is 10 meters by 8 meters, what is the area of the rug in square meters?
Pick:
A) 24
B) 26
C) 28
D) 30
E) 32

Solution: A strip of 2 meters is covering the inner rectangular rug for all 4 sides.   Length of inner rug = 10-(2*2)   breadth of inner rug= 8-(2*2)   Area of Rug= 6 * 4= 
6 * 4 = 24
24 sq. mt   Ânswer: 24
Answer: A
A certain tax rate is $.82 per $100.00. What is the rate, expressed as a percent?	Choose the correct choice
A) 82%  B) 8.2%  C) 0.82%  D) 0.082%  E) 0.0082%

Solution: Here in question it is asking $.82 is what percent of $ 100.Suppose $ .82 is x% of 100 means   100* (x/100) = .82   Hence x = .82 %   So answer is 0.82%.
Answer: C
A boat goes 100 km downstream in 10 hours, and 80 km upstream in 20 hours. The speed of the stream is?  Choose the correct choice from the following answers:	A) 4km/h	B) 3km/h	C) 2km/h	D) (1/2) km/h	E) E)None

Solution: 100 --- 10 DS = 10   ? ---- 1   80 ---- 20 US = 4   ? ----- 1 S = (10 - 4)/2= 
(10 - 4)/2 = 3
3 kmph   ANSWER:3km/h
Answer: B
A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 10% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
Choose the correct answer.
A) a) 2 B) b) 4.5 C) c) 0.196 D) d) 5.5 E) e) 3

Solution: If the plant is 11 feet tall when it is planted, it will be 11 + k feet tall at the end of the day (where k is the constant length it grows by every day).   Similarly, at the end of the 4th day the plant must be 11 + 4k feet tall and at the end of the 10th day it must be 11 + 10k feet tall.   Therefore 6k = 0.1 (11 + 4k)   => k = 0.196   Therefore the plant grows by 1 feet every day.   Option (c) 0.196)
Answer: C
Jerry began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Jerry?  Choose the correct choice
A) 35
B) 55
C) 39
D) 40
E) 60

Solution: Carla starts 30 minutes later and it takes 3 hr for carla to meet Jerry   So Jerry total time travelled = 3hr + 30= 
+ 30 = 30
30 * (3 1/2)= 105   so carla need to travle 105 to meet Jerry in 3 hrs   speed of carla = 105/3= 
105/3 = 35
35 miles per hour   35nswer is 35
Answer: A
How many paying stones, each measuring 3 m * 2 m are required to pave a rectangular court yard 60 m long and 14m board?
Pick
A) 99 B) 140 C) 26 D) 17 E) 12

Solution: 60 * 14= 3 * 2 * x => x   =140   Answer: 140
Answer: B
Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary? Pick:  A) 38000  B) 46800  C) 36700  D) 50000  E) 60000

Solution: Explanation:   Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.   Then,   (2x+4000) / (3x+4000) = 40 / 57   ⇒ 57 × (2x + 4000) = 40 × (3x+4000)   ⇒ 6x = 68,000   ⇒ 3x = 34,000   Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000   38000nswer: 38000
Answer: A