MU-NLPC/Calc-aqua_rat huggingface dataset:
There are 4 boys and 2 girls. In how many ways can they be seated in a row so that all the 4boys do not sit together?  Choose the correct choice from the following:
A) 450 B) 330 C) 576 D) 712 E) 496

Solution: Total number of persons = 4+2= 
4+2 = 6
6   they can be seated in a row in 6! ways   Treat 4boys as 1 so we have 3 people can be arranged in 3! ways   4boys can be arranged among themselves in 4! ways   Required number of ways= 6!-4!*3! = 576   Answer is 576
Answer: C
Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?  Choose the most appropriate option.
A) 24 B) 30 C) 2520 D) 90 E) 120

Solution: Total # of ways the race can be finished is 7!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 7!/2=2520.   Answer: 2520.
Answer: C
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Choose the correct choice from the following options:
A) 270
B) 978
C) 267
D) 166
E) 199

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer:270
Answer: A
A man bought 10 crates of mangoes for $40 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost?	Choose the most appropriate option:
A) $6 B) $8 C) $10 D) $12 E) $14

Solution: $6s given, after lost, the remaining 8 crates total cost = $40   So, 1 crate cost = 40/8= 
40/8 = 5
5   To get 20% profit, 1 crate cost should be= 5+5*20/100= 
5+5*20/100 = 6
$6   $6nswer : $6
Answer: A
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors D does the number 4x have?  Pick one
A) 4y
B) 3y
C) 16y
D) 5y
E) Cannot be determined

Solution: I tried for x=2,4 and 6. The integral factors D for x and 4x did not have any specific relation.   My answer is Cannot be determined.
Answer: E
One ton has 2100 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? Choose the correct choice from the following answers:
A) 1680
B) 1700
C) 2350
D) 2500
E) 8000

Solution: 16 pounds and 4 ounces= 16*16 + 4= 
16*16 + 4 = 260
260 ounces.   13 tons= 13*2100 pound = 13*2100*16 ounces.   Hence the answer is   (13*2100*16)/260= 
  (13*2100*16)/260 = 1_680
1680.   1680nswer: 1680.
Answer: A
When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 204.06, what is value of J?
Choose the correct answer
A) 100
B) 500
C) 600
D) 800
E) 200

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 204.06   Here 204 is the quotient.   Given that Remainder = 12   So, 204.06= 204 + 12/J   So, J = 200   Answer: 200
Answer: E
The average of first 10 even numbers is?  Answers
A) 226  B) 27  C) 27  D) 11  E) 99

Solution: Sum of 10 even numbers = 10 * 11= 
10 * 11 = 110
110   Average= 110/10= 
110/10 = 11
11   Answer: 11
Answer: D
If a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides? Choose the correct choice from the following:
A) 4 B) 7 C) 8 D) 9 E) 26

Solution: This question can be solved algebraically or by TESTing THE ANSWERS.   We're told that a rectangle has an area of 117 and a perimeter of 44. We're asked for the length of one of the SHORTER sides of the rectangle.   Since the answers are all INTEGERS, and the area is 117, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 117, so the correct answer is   Let's TEST Answer D: 9   IF...   The shorter side = 9...   The area = 117....117/9 = 13 = the longer side   Perimeter = 9+9+13+13= 
9+9+13+13 = 44
44   9
Answer: D
A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?	Choose the correct option:
A) 14%
B) 12%
C) 11%
D) 22%
E) 14%

Solution: Let the interest for one year be x.   As amount = Principal + Interest, we have   P + 4x = 20720 --- (1) ; P + 6x = 24080 --- (2)   Solving the equations (1) and (2), we can get   P = Rs. 14000 and x = Rs. 1680   Interest for one year on Rs. 14000 is Rs. 1680   So, R = (100 * 1680)/(14000 * 1)= 
(100 * 1680)/(14000 * 1) = 12
12% p.a.   Answer:12%
Answer: B
The distance between Delhi and Mathura is 120 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?	Choices.
A) 40.00 a.m. B) 10.13 a.m. C) 12.00 a.m. D) 18.00 a.m. E) 19.00 a.m.

Solution: Explanation:   D = 120 â€“ 20 = 100   RS = 20 + 25= 
20 + 25 = 45
45   T= 100/45 = 2 hours 13 minutes   8 a.m. + 2 hours 13 minutes = 10:13 a.m.   Answer: Option 10.13 a.m.
Answer: B
A tyre has two punctures. The first puncture alone would have made the tyre flat in 8 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Options:
A) 3 1/5min  B) 3 2/5min  C) 3 3/7min  D) 3 4/5min  E) 3 min

Solution: Explanation:   Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1 minute and by second in 1 minute.   Lets Solve it:   1 minute work done by both the punctures =   (1/8+1/6)=(7/24)   So both punctures will make the type flat in   (24/7)mins=3 3/7mins   Option 3 3/7min
Answer: C
Jack and Lee walk around a circular track. It takes Jack and Lee respectively 6 and 10 minutes
to finish each lap. They start at the same time, at the same point on the track, and walk in the
same direction around the track. After how many minutes will they be at the same spot again
(not necessarily at the starting point) for the first time after they start walking? Choose the correct choice from the following choices.
A) 15  B) 16  C) 30  D) 32  E) 60

Solution: Experimenting with the numbers in turn, dividing 6 into 15 and 10 into 15, we get   answers one whole number apart, so they are together again at 15 minutes.   correct answer 15
Answer: A
Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end?	Options: A) 4 B) 6 C) 8 D) 2 E) 9

Solution: A   Four   As the window was closed it is obvious that the six candles that were not extinguished were lit till they melted away entirely. Thus only four candles that were extinguished remain at the end.
Answer: A
A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?	Choose the correct answer:
A) 4:6
B) 4:9
C) 5:3
D) 4:1
E) 4:2

Solution: 15:9   = 5:3   Answer: 5:3
Answer: C
A pair of articles was bought for $50 at a discount of 30%. What must be the marked price of each of the article?
Options:
A) $25  B) $17.50  C) $29.65  D) $35.95  E) $45.62

Solution: S.P. of each of the article = 50/2= 
50/2 = 25
$25   Let M.P= $x   70% of x = 25   x = 25*.7= 
25*.7 = 17.5
$17.50   Answer is $17.50
Answer: B
A completes a work in 4 days and B complete the same work in 8 days. If both of them work together, then the number of days required to complete the work will be	Choose the correct answer
A) 8 days	B) 9 days	C) 2.67 days	D) 12 days	E) 13 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 4 × 8/ 12 = 2.67 days.   Answer : 2.67 days
Answer: C
A shopping cart contains only apples, oranges, and pears. If there are three times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?  Choose the correct option:
A) 1/6	B) 1/8	C) 1/12	D) 1/4	E) 3/4

Solution: O = 3A   P = 4O = 12A   A = P/12   The answer is 1/12.
Answer: C
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 120 metres?  Answers.
A) 18	B) 24	C) 17	D) 12	E) 13

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 120 m= 120/5= 
120/5 = 24
24 seconds.   Answer: 24
Answer: B
John works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 1,000 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 216,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Options:
A) 72,000
B) 48,000
C) 50,000
D) 36,000
E) 40,000

Solution: let the rate be x, then population of the bacteria after each hour can be given as 1000, 1000x, 1000(x^2), 1000(x^3)   now population at 4pm =216,000   thus we have 1000(x^3) = 216,000 =216   thus x=6   therefore population at 3pm = 1000(36) = 36,000   Answer : 36,000
Answer: D
A boat moves downstream at the rate of 1 km in 5 mins & upstream at the rate of 4 km/hour. What is the velocity of the current?	Choose the correct option.
A) 2 km/hr
B) 4 km/hr
C) 8 km/hr
D) 10 km/hr
E) 12 km/hr

Solution: Speed downstream = 1(560)=12 km/hr   Speed upstream =41 = 4 km/hr   velocity of the current =12(12−4)=4 km/hr   4 km/hr
Answer: B
A boy has 9 trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?  Pick one.
A) 100	B) 102	C) 104	D) 108	E) 90

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 10= 
  9 * 10 = 90
90 ways.   90
Answer: E
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) 18 kmph  B) 17 kmph  C) 24 kmph  D) 19 kmph  E) 12 kmph

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   Average speed = 3x/(x/8) = 24 kmph   Answer:24 kmph
Answer: C
In how many ways can the letters of the word UWPIS be arranged in a row so that the vowels appear in alphabetic order?
Choose the correct choice from the following answers
A) 20  B) 30  C) 40  D) 50  E) 60

Solution: three letters can be arranged in 2! ways.   only one combination AEI is required.   5 letters can be arranged in 5! ways.   thus 5!/ 2! * 1 = 60.   60
Answer: E
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
945678?  Pick:
A) 7 B) 6 C) 8 D) 5 E) 2

Solution: Explanation:   Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.   As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3   => x + 3 = 11 => x = 8   ANSwer: 8
Answer: C
To hail means to praise and acclaim and this is contrary to what has been proposed in the passage. Ask doubt using Question Id: 6305	Choose the correct choice:
A) 22 B) 99 C) 82 D) 27 E) 26

Solution: 22nswer:22
Answer: A
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back, how far is the place? Select
A) 2 km	B) 2.4 km	C) 2.5 km	D) 3.4 km	E) None

Solution: Sol.   Speed downstream = (5+1)= 
(5+1) = 6
6 kmph; Speed upstream= (5 - 1)= 
(5 - 1) = 4
4 kmph. Let the required distance be x km.   Then, x/6 + x/4= 1 ⇔ 2x + 3x = 12 ⇔ 5x = 12 ⇔ x = 2.4 km.   Answer 2.4 km
Answer: B
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?  Choose the correct choice.
A) 81:121
B) 81:128
C) 81:118
D) 81:107
E) 81:189

Solution: Ratio of the sides = ³√729 : ³√1331   = 9 : 11   Ratio of surface areas = 92 : 112   = 81:121   81:121nswer: 81:121
Answer: A
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?	Options
A) 12:15:18
B) 12:15:16
C) 12:15:19
D) 12:15:11
E) 12:15:12

Solution: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)   = 12:15:16.Answer: 12:15:16
Answer: B
The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 69, what is the least possible value of one of the other two integers? Select the correct option.
A) 5	B) 8	C) 20	D) 21	E) 30

Solution: When it comes to averages, we know thataverage value = (sum of n values)/n   We can rewrite this into a useful formula:sum of n values = (average value)(n)   The average of five integers is 63   So, the sum of ALL 5 integers = (63)(5) =315   The average of three of the integers is 65   So, the sum of the 3 integers = (69)(3) =207   So, the sum of the 2 REMAINING integers =315-207= 
315-207 = 108
108   If the sum of the 2 REMAINING integers=108, and we want to minimize one value, we must MAXIMIZE the other value.   100 is the maximum value so let 1 integer = 100, which means the other must equal 8   Answer: 8
Answer: B
Fill in the sequence:
1 5 9 15 ? Answers
A) 11  B) 41  C) 51  D) 21  E) 31

Solution: 21   21   Position of the vowels a e i o u.
Answer: D
Find the odd man out. 2, 3, 5, 9, 12, 17, 23	Choose the correct choice.
A) 12
B) 9
C) 23
D) 2
E) 3

Solution: Explanation :   2   2 + 1= 
2 + 1 = 3
3   3 + 2= 
3 + 2 = 5
5   5 + 3= 
5 + 3 = 8
8   8 + 4= 
8 + 4 = 12
12   12 + 5= 
12 + 5 = 17
17   17 + 6= 
17 + 6 = 23
23   ie, 8 should have come in place of 9   Answer : Option 9
Answer: B
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (3,3) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line? Options:
A) 0 B) 2/5 C) -2 D) 1 E) 7/4

Solution: CONCEPT: The readers need to know that a rectangle can be divided into two equal area by a Straight line only when the straight line passes through the Centre of the Rectangle (Intersection of its two diagonals)Draw a figure and know it for yourself.   The point of Intersections of the diagonals will be the midpoint of any diagonal i.e. Midpoint of (0,0), and (7,4) OR Midpoint of (0,4) and (7,0)   i.e. Either [(0+7)/2, (0+4)/2] OR [(0+7)/2, (4+0)/2] =[3.5, 2]   Slope of line passing through points (3,3) and (3.5,2) = (2-3)/(3.5-3) = - 1/0.5= -2   -2
Answer: C
Three positive integers a, b, and c are such that their average is 40 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?  Answers:	A) 41	B) 44	C) 45	D) 46	E) 47

Solution: Solution   Given Data   3 positive integers   Average of a, b, and c = 40.   So, a+b+c3a+b+c3 =120 or a + b + c = 120   a ≤ b ≤ c   Median = (a + 13)   Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c   Therefore, b = a + 13   Objective To find the least value of 'c'   Theoretically, the least value of c is when c = b.   Therefore, a + (a + 13) + (a + 13) = 120 (b and c are equal and b, the median, is a + 13)   Or 3a =94 or a = 31.33   So, b = c = 31.33 + 13= 
31.33 + 13 = 44.33
44.33   However, we know that these numbers are all integers.   Therefore, a, b, and c cannot take these values.   So, the least value for c with this constraint is NOT likely to be when c= b   Let us increment c by 1. Let c = (b + 1)   In this scenario, a + (a + 13) + (a + 14) = 120   Or 3a = 93 or a=31 The value of the numbers is an integer   If a = 31, b = 44 and c = 45.   The least value for c that satisfies all these conditions is 45.   45orrect answer is choice 45.
Answer: C
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is	Choose the correct answer
A) 10 B) 12 C) 14 D) 15 E) 60

Solution: a:b 5:6   a+b=22   5x+6x=22   x=2   then two numbers are 10,12   ANSWER:12
Answer: B
What is the difference between the local value of 3 and 2 in the number 2324?	Choose the correct choice from the following choices
A) 430  B) 377  C) 280  D) 277  E) 112

Solution: Explanation:   300 â€“ 20 = 280   Answer: 280
Answer: C
What type of switch is this?  Select:
A) 2 B) 7 C) 6 D) 8 E) 9

Solution: Answer:7
Answer: B
How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5?	Choose the correct choice from the following answers.
A) 33
B) 28
C) 27
D) 26
E) 24

Solution: Numbers divisible by 3 start from 102 and end at 150   so total numbers are (150-102)/3 + 1= 
(150-102)/3 + 1 = 17
17   Numbers divisible by 5 start from 100 and end at 150   So total numbers are (150-100)/5 + 1= 
(150-100)/5 + 1 = 11
11   Total Numbers divisible by 15 start from 105 and end at 150   So total numbers are (150-105)/15 + 1= 
(150-105)/15 + 1 = 4
4   So 17+11-4= 
17+11-4 = 24
24   Answer : 24
Answer: E
A square was given. Inside the square there are white tiles and black tiles. Black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1cm x 1cm. If there are 81 black tiles in the square. Then find the no of white tiles in it. Choose the correct choice from the following options
A) 2399  B) 1600  C) 2679  D) 1697  E) 1711

Solution: In a square, number of squares on the diagonal is equal to the tiles on a single row. If there are even number of square on a side, then total squares on the diagonal is 2n - 1, otherwise 2n. As the total tiles on the diagonal are given as 81, then number of tiles on a side = 2n - 1 = 81 so n = 41.   So number of white tiles = 412−81=1681−81412−81=1681−81 = 1600   Answer:1600
Answer: B
If positive integer n is divisible by both 5 and 21, then n must be divisible by which of the following?
Choose the correct choice from the following answers.
A) 8
B) 15
C) 18
D) 24
E) 48

Solution: A number divisible by both 5,21 is 105 which s divisible by 15.   IMO : Answer 15 15
Answer: B
The length of a rectangle is reduced by 25%. By what % would the width have to be increased to maintainthe original area?	Choose the correct choice from the following options
A) 15%
B) 20%
C) 25%
D) 33%
E) 40%

Solution: Sol. Required change = (25*100)/(100-25)=25%   33%
Answer: D
Natasha climbs up a hill, and descends along the same way she went up. It takes her 3 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?  Choose the correct answer
A) 1.5 B) 2.5 C) 3.75 D) 5 E) 7.5

Solution: Lets assume distance to top as X, so the total distance travelled by Natasha = 2x   Total Time taken = 3+ 2= 
3+ 2 = 5
5 Hrs   Avg speed= Total Dist/Total time taken = 2x/5   Avg speed of complete journey is given as = 3 Hrs   2 x/5 = 3   X = 7.5 miles   Avg speed while climbing = Distance/Time = 7.5/3= 
7.5/3 = 2.5
2.5   Option 2.5
Answer: B
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is? Choose the correct choice:
A) 1
B) 6
C) 5
D) 6
E) 8

Solution: Let the duration of the flight be x hours. Then,   600/x - 600/(x + 1/2) = 200   x(2x + 1) = 3 2x2 + x - 3  (2  + 1)= 
 (2  + 1) = 3
3 2x2 + x - 3= 0   (2x + 3)(x - 1) = 0   x = 1 hr.   1nswer: 1
Answer: A
Half a number plus 5 is 15.What is the number?  Choose the correct answer:
A) 8
B) 20
C) 10
D) 11
E) 12

Solution: Let x be the number. Always replace "is" with an equal sign   (1/2)x + 5 = 15   (1/2)x = 15 - 5   (1/2)x = 10   x = 20   correct answer is 20
Answer: B
What is the probability of flipping a fair coin nine times and the coin landing on heads on at least two flips?  Choose one:
A) 57/64  B) 119/128  C) 251/256  D) 503/512  E) 509/512

Solution: The number of possible outcomes is 2^9=512.   0 heads: There is 1 way to have all tails.   1 head: There are 9 ways to have one head.   P(0 or 1 head)=10/512=5/256   P(at least 2 heads)=1 - 5/256 = 251/256   The answer is 251/256.
Answer: C
The sum of three consecutive even numbers is 48. Find the middle number of the three? Choose the correct choice:
A) 14  B) 16  C) 18  D) 24  E) 64

Solution: Three consecutive even numbers (2P - 2), 2P, (2P + 2).   (2P - 2) + 2P + (2P + 2) = 48   6P = 48 => P = 8.   The middle number is: 8P = 64.   ANSW64R:64
Answer: E
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?  Choose the most appropriate option:
A) 1000
B) 888
C) 2889
D) 2888
E) 2881

Solution: 100 * 100= 
100 * 100 = 10_000
10000   125 * 80= 
125 * 80 = 10_000
10000   No change   1000nswer:1000
Answer: A
Find the fourth proportional to 2.4, 4.6 and 7.6? Choose the correct choice from the following options
A) 14.56	B) 14	C) 15.34	D) 16.2	E) 17

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
What is the greatest prime factor of 3^8 - 1?	Select the correct option
A) 29 B) 31 C) 37 D) 41 E) 43

Solution: 3^8-1 = (3^4-1)(3^4+1) = 80*82 = 8*10*2*41   The answer is 41.
Answer: D
A man purchased 3 blankets @ Rs.100 each, 2 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?
Choose the most appropriate option.
A) 278  B) 900  C) 278  D) 450  E) 772

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 2 * 150= 
3 * 100 + 2 * 150 = 600
600   1500 – 600= 900   Answer:900
Answer: B
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 960 pounds of the seed mixture? Select the correct option.
A) 6
B) 12
C) 20
D) 24
E) 120

Solution: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.   Thus we need 40 pounds of mixture per acre.   960 / 40= 
960 / 40 = 24
24 acres   The answer is 24.
Answer: D
The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is Choose the correct choice.
A) 27 months	B) 20 months	C) 23 months	D) 12 months	E) 15 months

Solution: P.W. = Rs. (1600 - 160) = Rs. 1440∴ S.I. on Rs.1440 at 5% is Rs. 160.∴ Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months. 27 monthsnswer : 27 months
Answer: A
A student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. What was the number he chose?	Options
A) 58  B) 59  C) 60  D) 62  E) 63

Solution: Let x be the number he chose, then   4⋅x−142=110   4x=252   x=63   correct answer 63
Answer: E
Ayesha's father was 31 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Choose the correct choice from the following answers:
A) 2 years B) 4 years C) 6 years D) 8 years E) 1 years

Solution: Explanation:   Mother's age when Ayesha's brother was born = 34 years.   Father's age when Ayesha's brother was born = (31 + 4)= 
(31 + 4) = 35
35 years.   Required difference= (35 - 34)= 
(35 - 34) = 1
1 years.   Answer: 1 years
Answer: E