MU-NLPC/Calc-aqua_rat huggingface dataset:
The vertex of a rectangle are (1, 0), (9, 0), (1, 4) and (9, 4) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?	Choose the correct answer.
A) 4 B) 2 C) 1/4 D) 2/5 E) 5/6

Solution: If line L divides the rectangle into two identical quadrilaterals, then it must pass through the center (5, 2). The slope of a line passing through (0,0) and (5, 2) is 2/5.   The answer is 2/5.
Answer: D
A man sells a horse for Rs.920 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choose the correct choice
A) 287
B) 279
C) 267
D) 860
E) 940

Solution: CP = SP + 1CP = SP - g   920 + x = 980 - 2x   3x = 60 => x   =20   CP = 920 + 20= 
920 + 20 = 940
940   Answer:940
Answer: E
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm.
Select the correct option
A) 335 cm2	B) 228 cm2	C) 285 cm2	D) 825 cm2	E) 725 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (12)   = 228 cm2   Answer: 228 cm2
Answer: B
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?
Select the correct option:
A) 2679
B) 2976
C) 2690
D) 3000
E) 2698

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   Answer:3000
Answer: D
A company recently conducted a survey and found that 40,000 of its customers live in rural areas. If the number of customers who live in urban areas is 137 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?	Choose the correct answer:	A) 90,000	B) 91,200	C) 92,400	D) 93,600	E) 94,800

Solution: The number of customers in urban areas is 40,000+1.37*40,000=94,800.   The answer is 94,800.
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent?  Choose one:
A) 15%  B) 13.6%  C) 65%  D) 45%  E) 35%

Solution: Explanation:   880 --- 120   100 --- ? => 13.6%   Answer: 13.6%
Answer: B
There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability T that at least one will be orange? Choose the most appropriate option:	A) T=7/10	B) T=3/5	C) T=2/5	D) 3/10	E) 1/10

Solution: Method 1   Probability that at least one out of two marbles will be orange = 1 - Probability that both marbles are blue = 1- P(First marble is blue)* P(Second Marble is Blue) = 1- (3/5)(2/4) = 7/10   Method 2   Probability that at least one marble will be orange = P( First Marble is Orange)*P(Second Marble is Blue) + P (First Marble is Blue)*P(Second Marble is Orange) + P(First Marble is Orange) *P(Second Marble is Orange) = (2/5)*(3/4)*2 + (2/5)*(1/4) = 7/10   Method 3   Probabilty that at least one marble will be orange = 1 - Probability that both marbles are blue   = 1 - (Number of ways 2 blue marbles out of 3 can be pulled)/(Number of ways 2 marbles out of 5 can be pulled)   = 1 - 3C2/5C2   = 1-(3/10) = 7/10   T=7/10nswer :T=7/10
Answer: A
Judy ate 20g of chocolate on Monday, and 30g of chocolate on Tuesday. How much chocolate on average did she eat on those two days?
Choose the correct answer
A) 50g	B) 6g	C) 600g	D) 25g	E) 1kg

Solution: (20g + 30g)/2 = 25g   The correct answer is 25g(20  + 30 )/2= 
(20  + 30 )/2 = 25
25g   The correct answer is 25g
Answer: D
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
Choose the correct choice from the following answers:	A) 65 days	B) 16 days	C) 15 days	D) 19 days	E) 20 days

Solution: Ratio of times taken by Sakshi and Tanys = 125:100 = 5:4   Suppose Tanya takes x days to do the work.   5:4 :: 20:x => x= 16 days.   Hence, Tanya takes 16 days to complete the work.   Answer: 16 days
Answer: B
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:4 . Find their incomes?	Choose the correct answer:
A) 112.5, 158.5  B) 180.5, 150  C) 100, 200  D) 112.5, 150  E) 122.5, 150

Solution: The incomes of A and B be 3P and 4P.   Expenditures = Income - Savings   (3P - 100) and (4P - 100)   The ratio of their expenditure = 1:4   (3P - 100):(4P - 100) = 1:4   8P = 300 => P = 37.5   Their incomes = 112.5, 150   ANSWER:112.5, 150
Answer: D
If Jake loses 15 pounds, he will weigh twice as much as his sister. Together they now weigh 132 pounds. What is Jake’s present weight, in pounds?	Choose the correct choice from the following choices.
A) 63 B) 93 C) 139 D) 147 E) 188

Solution: Lets say J is the weight of Jack and S is the wt of his sister.   If he loses 15 pounds, he s twice as heavy as his sister.   J-15=2*S   Also, together they weight 132 pounds   J+S=132   solvong the 2 equation ,we get J=93 pounds !   93
Answer: B
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is? Options
A) 22
B) 89
C) 55
D) 38
E) 13

Solution: Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9   = [(11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55]/9   = [(4 * 110) + 55]/9 = 495/9= 
495/9 = 55
55.   Answer:55
Answer: C
Salaries of Ram and Sham are in the ratio of 4 : 5. If the salary of each is increased by Rs. 5000, then the new ratio becomes 50 : 60. What is Sham's present salary? Choose the correct answer
A) Rs. 20,000
B) Rs. 25,000
C) Rs. 30,000
D) Rs. 35,000
E) Rs. 40,000

Solution: EXPLANATION:   Assume original salaries of Ram and Sham as 4x and 5x respectively.   Therefore,   (4x + 5000)/(5x +5000)	=	50 /60   60 (4x + 5000) = 50 (5x + 5000)   10 x = 50,000   5x = 25, 000   Sham's present salary = 5x + 5000 = 25,000 + 5000   Sham's present salary = Rs. 30,000   ANSWER IS Rs. 30,000
Answer: C
If a 10 percent deposit that has been paid toward the purchase of a certain product is $140, how much more remains to be paid? Choose the correct choice from the following options.
A) $880  B) $990  C) $1,000  D) $1,100  E) $1,260

Solution: 10/100P = 140 >> p= 140*100/10= 
140*100/10 = 1_400
1400   1400 - 140= 
1400 - 140 = 1_260
1260   ANSW$1,260R:$1,260
Answer: E
How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?  Choose the correct choice from the following answers
A) 6 B) 7 C) 5 D) 8 E) 18

Solution: So, the numbers should be from 100,000 to 1,000,000   The following two cases are possible for the sum of the digits to be 2:   1. Two 1's and the rest are 0's:   100,001   100,010   100,100   101,000   110,000   5numbers.   2. One 2 and the rest are 0's:   200,000   1 number.   Total = 6 numbers.   6nswer: 6
Answer: A
A train passes a station platform in 45 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?  Select
A) 180 m B) 240 m C) 260 m D) 280 m E) 375 m

Solution: Speed = 54 x 5/18 = 15 m/s   Length of the train = (15 x 20)m = 300 m.   Let the length of the platform be x metres.   Then, (x + 300)/45 = 15   --> x + 300 = 675   x = 375m.   Answer : 375 m.
Answer: E
A present value of a machine is $128000. Its value depletiation rate is 25% per annum then find the machine value after 3 years? Choose the correct choice
A) $54000
B) $48000
C) $36520
D) $32450
E) $42500

Solution: P= $128000   R = 25%   T = 3 years   Machine value after 3years = P/(1-R/100)^T   =128000*3/4 * 3/4 * 3/4= 
128000*3/4 * 3/4 * 3/4 = 54_000
$54000   $54000nswer is $54000
Answer: A
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m? Choose the correct answer.
A) 187.5 m	B) 127.5 m	C) 127.3 m	D) 122.5 m	E) 197.3 m

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 600 m, the number of meters by which A beats C= (600 * 212.5)/1000= 
(600 * 212.5)/1000 = 127.5
127.5 m.   Answer:127.5 m
Answer: B
A parking space have 10 different slots. 10 cars has to arrange in 8 slots. But there are exactly 4 cars between 6 specified cars. In how many ways cars can be arranged?	Choose the correct choice from the following answers:
A) 17280	B) 65000	C) 1500	D) 1640	E) 1440

Solution: we arranged 2 specified cars in 4 slots = 4!   remaining 6 cars in 6 slots = 6!   number of ways = 4!*6! = 17280   correct option is 17280
Answer: A
There are 10 women and 15 men in an office. In how many ways a team of a man and a woman can be selected?
Choose the correct answer.
A) 55	B) 25	C) 150	D) 28	E) None of these

Solution: Number of ways in which a team of a man and a woman can be selected   = 15 × 10 = 150   Answer is 150
Answer: C
In what time will a railway train 60 m long moving at the rate of 72 kmph pass a telegraph post on its way? Choose the correct answer:
A) 8 sec B) 3 sec C) 2 sec D) 6 sec E) 9 sec

Solution: T = 60/72 * 18/5= 
60/72 * 18/5 = 3
3 sec   Answer:3 sec
Answer: B
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Pick one
A) 81 B) 100 C) 120 D) 135 E) 160

Solution: My solution: Wholesale Price= 90   Retail Price, be = x   He provides 10 % discount on Retail price= x-10 x/100   This Retail price = 20 % profit on Wholesale price   x-10 x/100 = 90+ 1/5(90)   x=120;   ANSWER:120
Answer: C
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $50 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?  Select
A) $752 B) $755 C) $765 D) $788 E) $775

Solution: = (750*6+ 800 *20)/26   = 788   Answer is D.   Posted from my mobile device
Answer: D
In the reading room of a library, there are 24 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?  Choose the correct option: A) 8 B) 16 C) 15 D) 14 E) 9

Solution: 1+2+3+4+5+6+7+8= 
1+2+3+4+5+6+7+8 = 36
36   so, 8 spots are occupied by users    24-8= 
 24-8 = 16
16,   ANSWER:16
Answer: B
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choose the correct answer:
A) 2989	B) 2789	C) 1210	D) 1288	E) 1211

Solution: π (232 – 122)   = 1210   Answer: 1210
Answer: C
What could be the range of a set consisting of odd multiples of 5?	Select:
A) 21 B) 24 C) 35 D) 62 E) 60

Solution: Range = the difference between the greatest and the smallest numbers in the sequence. Our sequence is odd and is a multiple of 7. Every number in that sequence can be represented like this: 5*(2n+1) where n is any positive integer.   Range = 5*(2m + 1) - 5*(2n + 1) = 5*2*(m-n) = 10 * (m-n).   m, n - any positive integers   The answer must be divisible by 10, which is only 60.   The correct answer is 60.
Answer: E
Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 3.4 meters high. What is Mr. Wayne's speed in meters per second?  Choose the most appropriate option:
A) 3	B) 3.75	C) 4	D) 4.25	E) 5

Solution: IMO: 4.25   15 Floors * 3.4 Meter/Floor = 51 Meters   Time= 12 sec   Rate * 12 = 51   Rate= 51/12= 
51/12 = 17/4 = around 4.25
4.25   Answer 4.25
Answer: D
If there is exactly one root of the equation ax^2 + x + b, where a and b are positive constants, what is b in terms of a?  Choose the correct choice from the following options:
A) 1/4a
B) a
C) 3a/2
D) a^2/2
E) a^2/4

Solution: one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1   Here   c= b   b = 1   substituting these values in 1, we have   1^2 = 4ab => b =1/4a   1/4answer is 1/4a.
Answer: A
A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?	Choose the correct choice from the following answers
A) 35
B) 77
C) 28
D) 50
E) 22

Solution: Explanation:   SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre   = 45 + 5   = Rs. 50   Answer: 50
Answer: D
How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336	Options.
A) 4	B) 3	C) 6	D) 8	E) 9

Solution: Explanation :   Here 3, 4 and 11 are pairwise co-prime numbers. 132 = 3 × 4 × 11 . Also 3,4 and 11 are   factors of 132. Hence   if a number is divisible by 3, 4 and 11, the number will be divisible by their product 132 also.   If a number is not divisible by 3 or 4 or 11, it is not divisible by 132   You must learn Divisibility Rules to say whether a given number is divisible by another number   without actually performing the division.   further.   264 is divisible by 3, 4 and 11 => 264 is divisible by 132   396 is divisible by 3, 4 and 11 => 396 is divisible by 132   462 is divisible by 3 and 11, but not divisible by 4 => 462 is not divisible by 132   792 is divisible by 3, 4 and 11 => 792 is divisible by 132   968 is divisible by 4 and 11, but not divisible by 3 => 968 is not divisible by 132   2178 is divisible by 3 and 11, but not divisible by 4 => 2178 is not divisible by 132   5184 is divisible by 3 and 4, but not divisible by 11 => 5184 is not divisible by 132   6336 is divisible by 3, 4 and 11 => 6336 is divisible by 132   Hence, only 264, 396 ,792 and 6336 are divisible by 132. So the answer is 4. 4nswer : Option 4
Answer: A
A train 110 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 in going?
Choose the correct choice from the following:  A) 5 sec  B) 7 sec  C) 6 sec  D) 10 sec  E) none

Solution: speed of train relative to man=(60+6)km/hr=66 km/ hr.   (66*5/18)m/sec.   (55/3)m/sec.   Time taken to pass the man=(110*3/55)= 
(110*3/55) = 6
6 sec.   Answer: 6 sec
Answer: C
Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 2 scones must be equal to which of the following?
Choose the correct choice from the following answers
A) Y/20  B) 200/Y  C) 100Y/(15X)  D) XY/250  E) Y/(5X)

Solution: Rachel eats 4 scones/10 minutes = 2/5 scones per minute   The time for Rachel to eat 1 scone is 5/2 minutes.   The time for Rachel to eat Y scones is 5Y/2 minutes.   The time for Henry to eat X scones is 5YX/200 minutes.   The time for Henry to eat 1 scone is 5Y/200 minutes.   The time for Henry to eat 2 scones is 10Y/200 = Y/20 minutes.   The answer is Y/20.
Answer: A
In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of
Rs.8 per litre?  Select:	A) 1 : 3	B) 2 : 2	C) 1 : 2	D) 3 : 1	E) 3 : 2

Solution: Explanation :   By the rule of alligation, we have   1 : 2ost Price of 1 litre of water 1 : 2ost Price of 1 litre of milk   0 12   Mean Price   8   12-8= 
12-8 = 4
4 8-0=8   Required Ratio = 4 : 8 = 1 : 2   Answer : Option 1 : 2
Answer: C
A person took some amount with some interest for 3 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took?
Options.
A) s.5500/-
B) s.6000/-
C) s.4000/-
D) s.7000/-
E) s.8000/-

Solution: Explanation:   3 years = Rs.120/-   year = 120/3   Rate of Interest = 1%   100/1% × 120/3 = Rs.4000/-   P = Rs.4000/-   Answer: Option s.4000/-
Answer: C
If 60 percent of 500 is 50 percent of x, then x=?  Options.
A) 600	B) 620	C) 650	D) 700	E) 720

Solution: 0.6 * 500 = 0.5 * x   x = 6/5 * 500= 
6/5 * 500 = 600
600
Answer: A
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Choices.
A) 9:1  B) 4:7  C) 7:1  D) 2:5  E) 1:6

Solution: Milk = 3/5 * 20= 
3/5 * 20 = 12
12 liters, water= 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6= 
12 - 6 = 6
6 liters   Remaining water= 8 - 4= 
8 - 4 = 4
4 liters   10 liters of pure milk are added, therefore total milk= (6 + 10)= 
(6 + 10) = 16
16 liters.   The ratio of milk and water in the new mixture= 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10= 
4/5 * 10 = 8
8 liters.   Amount of water removed= 2 liters.   Remaining milk = (16 - 8)= 
(16 - 8) = 8
8 liters.   Remaining water= (4 -2)= 
(4 -2) = 2
2 liters.   The required ratio of milk and water in the final mixture obtained= (8 + 10):2 = 18:2 = 9:1.   9:1NSWER:9:1
Answer: A
John bought a total of 24 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 24 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?	Pick one
A) 4 B) 5 C) 6 D) 7 E) 14

Solution: Let number of mangoes be x, number of oranges be 24-x   0.80x +(24-x)0.60/24 = 0.65   solving for x, we get x = 6 --> Mangoes 6, Oranges 18   Now, number of oranges to be returned be y   0.80*6 + (18-y)*0.60/24-y = 0.72   solving for y, y = 14   Ans: 14
Answer: E
A tank contains 9,000 gallons of a solution that is 6 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?	Choose the correct choice from the following choices:
A) 6%
B) 7%
C) 8%
D) 9%
E) 10%

Solution: We start with 9,000 gallons of a solution that is 6% sodium chloride by volume. This means that there are 0.06 x 9,000 = 54 gallons of sodium chloride.   When 3,000 gallons of water evaporate we are left with 6,000 gallons of solution. From here we can determine what percent of the 6,000 gallon solution is sodium chloride.   (sodium chloride/total solution) x 100 = ?   (540/6,000) x 100 = ?   9/100 x 100 = ?   = 9%   Answer is 9%.
Answer: D
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by A are?  Choose the correct choice from the following choices.
A) 11  B) 18  C) 13  D) 17  E) 12

Solution: A:B = 2:3   B:C = 2:5   A:B:C = 4:6:15   4/25 * 75= 
4/25 * 75 = 12
12   Answer:12
Answer: E
Rs 3600 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part.  Choose one:
A) s 4000
B) s 2800
C) s 1800
D) s 3500
E) s 3100

Solution: Explanation :   Average rate = (144/3600)*100= 
(144/3600)*100 = 4
4   Ratio= 1:1   So, first part = (1/2)*3600= 
(1/2)*3600 = 1_800
Rs 1800.   Answer : s 1800
Answer: C
Alex takes a loan of $8,000 to buy a used truck at the rate of 6 % simple Interest.Calculate the annual interest to be paid for the loan amount.	Choose the most appropriate option
A) 480  B) 520  C) 460  D) 400  E) 520

Solution: From the details given in the problem Principle = P = $8,000 and R = 6% or 0.06 expressed as a decimal.   As the annual Interest is to be calculated, the time period T =1.   Plugging these values in the simple Interest formula,   I = P x T x R   = 8,000 x 1 x 0.06   = 480.00   480nnual Interest to be paid = $480   answer :480
Answer: A
On a track for remote controlled racing cars, racing car A completes the track in 57 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again. Choices:	A) 275	B) 325	C) 1995	D) 425	E) None of these

Solution: Time required in seconds will be L1995M ( 35, 57 ) = 1995   Hence, answer will be (1995) 1995
Answer: C
A train covers a distance of 54 km in 15 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?	Pick.
A) 470	B) 480	C) 490	D) 500	E) 510

Solution: Speed = (54/15 * 60) km/hr = (216 * 5/18) m/sec = 60 m/sec.   Length of the train = 60 * 8= 
60 * 8 = 480
480 m.   Answer: Option 480
Answer: B
Four friends built a colony for themselves. They built their own houses at different distances from each other.
Chris lived 60 km away from Alex.
Darren lived 40 km away from Bill.
Chris lived 10 km nearer to Darren than he lived to Bill.
Can you find out how far was Darren's house from Alex? Choose the most appropriate option
A) 75 km B) 60 km C) 45 km D) 50 km E) 85 km

Solution: 75 km   75 km   Explanation:   Distance between Bill and Darren = 40 km   Distance between Bill and Chris + Distance between Chris and Darren = 40 km   Distance between Bill and Chris + (Distance between Bill and Chris - 10) = 40 km   2 * Distance between Bill and Chris = 50 km   Distance between Bill and Chris = 25   Distance between Chris and Darren = 15 km   Therefore, distance between Darren's house and 75 kmlex's house = 60 + 15= 
60 + 15 = 75
75 km.
Answer: A
Today is Monday. After 61 days, it will be:
Choices
A) SUNDAY  B) SATURSDAY  C) FRIDAY  D) THURSDAY  E) MONDAY

Solution: Each day of the week is repeated after 7 days.   So, after 63 days, it will be Monday.   After 61 days, it will be Saturday.   Answer: Option SATURSDAY
Answer: B
Graph G has a line of symmetry of x = –5. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3?	Choose the most appropriate option:
A) –8
B) –7
C) –5
D) –4
E) -13

Solution: Line of symmetry is X=-5; one point is (3,3)   Right side distance =5+3(distance from origin) = 8; therefore Left side distance should be same from line of symmetry =8;   therefore left side co-ordinate=8+5(distance from origin) = 13; as the X coordinate is in 2nd quadrant hence -13   Therefore answer is -13
Answer: E
Which of the numbers below is the odd one out
1,5,13,17,25,41,61.	Pick:  A) 17  B) 13  C) 5  D) 25  E) 61

Solution: 17 is the odd man.. diff between sucessive no.s are multiples of 4   17NSWER:17
Answer: A
Today Roseline, who is 50 years old, and her daughter, who is 20 years old, celebrate their birthdays. How many years will pass before Roseline’s age is twice her daughter’s age?  Choose the correct choice from the following answers:
A) 12
B) 13
C) 10
D) 15
E) 18

Solution: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.   After x years passes Roseline’s age will be (50+x) years old, and her daughter’s age will be (20+x) years old. Since the Roseline’s age is twice her daughter’s age (50+x)= 2 * (20+x) ---> 50+x=40+2x ---> x= 10   The answer is (10).
Answer: C