MU-NLPC/Calc-aqua_rat huggingface dataset:
If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?
A.
B.
C.
D.
E. Choose one:  A) (−8,8)  B) (4,−4)  C) (5,−5)  D) (2,−2)  E) (−4,4)

Solution: (5,−5)o-ordinates of Point B = (2, 2) (Same x co-ordinate as that of A and Y co ordinate 3 units up than y co ordinate of A)   (5,−5)o-ordinates of Point (5,−5) = (-4, 2) (Same Y co-ordinate as that of B and X co-ordinate 6 units Left than X co-ordinate of B)   (5,−5)o-ordinates of Point D = (-4, -5) (Same x co-ordinate as that of (5,−5) and Y co-ordinate 7 units Down than Y co-ordinate of (5,−5))   (5,−5)o-ordinates of Point E = (5, -5) (Same Y co-ordinate as that of D and X co-ordinate 9 units Right than X co-ordinate of D)   Answer: Option (5,−5)
Answer: C
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm? Choose the correct choice from the following choices
A) 189 cm2  B) 150 cm2  C) 127 cm2  D) 177 cm2  E) 187 cm2

Solution: 1/2 * 20(9 + 6)   = 150 cm2   Answer: 150 cm2
Answer: B
If x and y are integers, what is the least positive number of 24x+16y?
Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 8

Solution: 24x+16y = 8(3x+2y) which will be a minimum positive number when 3x+2y = 1.   3(1) + 2(-1) = 1   Then 8(3x+2y) can have a minimum positive value of 8.   The answer is 8.
Answer: E
A certain company reported that the revenue on sales increased 15 % from 2000 to 2003, and increased 30 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choose the correct choice from the following:
A) 50 % B) 40 % C) 35 % D) 32 % E) 13 %

Solution: Assume the revenue in 2000 to be 100. Then in 2003 it would be 115 and and in 2005 130, so from 2003 to 2005 it increased by (130-115)/115=15/115=13%.   Answer: 13 %.
Answer: E
A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability Y that you can still row the canoe?  Choose the correct choice:
A) 9/25	B) 10/25	C) 6/10	D) 2/3	E) 21/25

Solution: Simply look at the question from the other side. What is the probability that you can’t row the canoe? This would be 2/5 x 2/5 = 4/25.   Using the idea that the probability of something happening is 1 – the probability that it doesn’t happen, you can use the following equation to reach the right answer Y: 1 – 4/25 = 21/25.Answer choice 21/25.
Answer: E
How many three digit numbers can be formed using the digits {1, 3, 4, 5, 7,8, 9}(repetition of digits is not allowed)?	Pick:
A) 360	B) 210	C) 278	D) 279	E) 274

Solution: The given digits are six.   The number of four digit numbers that can be formed using six digits is   7P3 = 7* 6 * 5= 
7* 6 * 5 = 210
210   Answer: 210
Answer: B
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 58 units per day, what is the value of n ? Choices:
A) 30
B) 18
C) 10
D) 9
E) 4

Solution: (average production for n days) * n = (total production for n days) --> 50n=(total production for n days);   (total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 50n + 90 = 58 * (n+1) --> n=4.   Or as 40 extra units increased the average for n+1 days by 8 units per day then 40/(n+1)=8 --> n=4.   Answer: 4.
Answer: E
A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.4 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?	Answers:	A) 20,00,000	B) 21,00,000	C) 23,00,000	D) 23,90,000	E) 24,00,000

Solution: Let's assume in 2006 the manufacturer sold X.   In 2007 he sold X-4/100(X)   If sales in 2006,X= 2.4 million find X-4/100(X)   (2.4 x 10^6)-4/100(2.4 x 10^6)   2400000-96000=23,04,000-----> 23,00,000(approx)   Answer-23,00,000
Answer: C
A customer pays 30 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?  Choose the correct choice from the following answers:
A) A)$50
B) B)$60
C) C)$70
D) D)$80
E) E)$90

Solution: Let x be the original price.   x - 20 = 30   x - 20 + 20 = 30 + 20   x + 0 = 50   x = 50   correct answer is $50)$50
Answer: A
Which number need to add to 859622 to get a number exactly divisible by 456?
Answers:
A) 478900
B) 435390
C) 656899
D) 675668
E) 859622

Solution: Dividend = Quotient * Divisor + Reminder   859622 / 456 gives quotient = 1885 and reminder = 62.   So, the next number divisible by 456 is 456 places infront of 456 * 1885   Which means 456 – 62 = 394 should be added to 859622.   859622
Answer: E
In a dairy farm, 20 cows eat 20 bags of husk in 20 days. In how many days one cow will eat one bag of husk?  Choose the correct choice from the following answers:
A) 1  B) 40  C) 20  D) 26  E) 30

Solution: Explanation :   One bag of husk = 20 cows per day   ⇒ 20 × 1 × 20 = 1 × 20 × x   For one cow = 20 days   Answer : 20
Answer: C
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choose the correct option.
A) 28 days B) 76 days C) 16 days D) 18 days E) 19 days

Solution: 8/12 + 6/x = 1   X = 18 days   28 daysnswer:28 days
Answer: A
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer W between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it? Select the correct option.
A) 12	B) 15	C) 17	D) W=18	E) 20

Solution: Since we are concerned with integers W between 1 and 20, write down the primes till 40.   2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37   (you should be very comfortable with the first few primes... )   2, 3, 5, 7, 11,12, 13, 17, 19, 23, 29, 31, 37 - Three pairs (11,13), (7,17), (5, 19)   2, 3, 5, 7, 11, 13,15,17, 19, 23, 29, 31, 37 - Three pairs (13, 17), (11, 19), (7, 23)   2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37 - Three pairs (11, 23), (5, 29), (3, 31)   2, 3, 5, 7, 11, 13, 17,18,19, 23, 29, 31, 37 - Four pairs (17, 19), (13, 23), (7, 29), (5, 31)   2, 3, 5, 7, 11, 13, 17, 19,20,23, 29, 31, 37 - definitely cannot be more than 4 since there are only 4 primes more than 20. So must be less than 4 pairs. Ignore.   Answer (W=18).
Answer: D
The average of first five prime numbers greater than 20 is? Choose one:
A) 32.2 B) 32.98 C) 32.3 D) 32.8 E) 32.4

Solution: 23 + 29 + 31 + 37 + 41= 
23 + 29 + 31 + 37 + 41 = 161
161/5= 
161/5 = 161/5 = around 32.2
32.2   32.2nswer: 32.2
Answer: A
An eccentric casino owner decides that his casino should only use chips in $4 and $7 denominations. Which of the following amount cannot be paid out using these chips?	Choose the correct choice from the following
A) $26	B) $29	C) $28	D) $25	E) $21

Solution: Yes, the number of 4 or/and 7 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.   Each option but C can be represented as the sum of a multiple of 4 and a multiple of 7:   A. $29 = 7*3 + 4*2   B. $26 = 7*2 + 4*3   C. $25 = 7*3 + 4*1   E. $21 = 7*3   Answer: $28.
Answer: C
On a two-dimensional coordinate plane, the line q = x^2 - x^3 touches the x-axis in how many places?
Select the correct option:
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Apparently it's q = x^2 - x^3 instead of q = x^2 - q^3.   In this case: the x-intercept is the value(s) of x for q = 0.   0 = x^2 - x^3;   0 = x^2(1 - x);   x = 0 or x = 1.   Answer: 2.
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train? Choices: A) 356 B) 278 C) 300 D) 279 E) 150

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 18= 
50/3 * 18 = 300
300 m   Answer: 300
Answer: C
There are 5,260 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?	Choose the most appropriate option:
A) 5,280 - 12	B) 5,280/12	C) 12(5,260)	D) 12^2(5,280)	E) 12/5,280

Solution: 1 feet = 12 inches   1 mile = 5260 feet   1 mile = 5260*12 inches   Ans: 12(5,260)
Answer: C
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 12.5 percent, what was the annual interest rate last year?	Choose the most appropriate option:	A) 1%	B) 1.1%	C) 9.1%	D) 11.36%	E) 10.8%

Solution: 12.5=1.1*x   X=11.36%   Answer 11.36%)
Answer: D
If (c-5)(y+2) = 0 which of the following must be true?	Choose the correct answer
A) c = y  B) c > y  C) c < y  D) cy = -10  E) None of the above

Solution: From (c-5)(y+2) = 0 it follows that either c=5 or y=-2.   (A) c = y --> not necessarily true. Consider c=5 and y=0.   (B) c > y --> not necessarily true. Consider c=5 and y=10.   (C) c < y --> not necessarily true. Consider c=5 and y=0.   (D) cy = -10 --> not necessarily true. Consider c=5 and y=0.   Thus, none of the statements must be true.   Answer: None of the above.
Answer: E
A man can row upstream at 30 kmph and downstream at 60 kmph, and then find the speed of the man in still water?  Answers:	A) 27	B) 29	C) 30	D) 20	E) 45

Solution: US = 30   DS = 60   M = (30 + 60)/2= 
(30 + 60)/2 = 45
45   Answer:45
Answer: E
The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
Choices:  A) 15 cm  B) 25 cm  C) 35 cm  D) 42 cm  E) None of these

Solution: Solution   Required length	= H.C.F of 700 cm, 385 cm and 1295 cm   ‹=› 35 cm.   Answer 35 cm
Answer: C
If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?	Choose the correct choice from the following choices:
A) 40%
B) 33 1/3%
C) 60%
D) 66 2/3%
E) None of these

Solution: Given ratio = 1/8 : 1/5 = 5 : 8   Let first number be 5x and the second number be 8x.   The second number is more than first number by 3x.   Required percentage = 3x/5x * 100 = 60%.   ANSWER:60%3 /5  * 100= 
3 /5  * 100 = 60
60%.   ANSWER:60%
Answer: C
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?  Options
A) 200
B) 240
C) 250
D) 260
E) 480

Solution: Total ways of arranging 7 person in a circle = 6! = 720 ways   If we consider two women as one, then we have   5+1= 
  5+1 = 6
6 persons. Arranging these six persons in circle will take= 5! = 120 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 5!*2! = 240 ways   Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240= 
720 - 240 = 480
480 ways   480
Answer: E
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choose the correct choice from the following answers:	A) 17 days	B) 19 days	C) 10 days	D) 16 days	E) 12 days

Solution: 400 --- 31   400 --- 3   120 --- ?   400*3 = 120*x => x =10 days   Answer: 10 days
Answer: C
In a recent election, Ms. Robbins received 7,200 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received? Choose the correct choice from the following answers
A) 0.06N + 3,200
B) 0.1N + 7,200
C) 0.06N + 7,200
D) 0.1N + 8,000
E) 0.06N + 8,000

Solution: total vote = N   vote cast by independent voters = 0.4 N   vote cast by registered voters = 0.6 N   vote received by Ms. Robbins = 7200 + 10% of vote be registered voters = 7200 + 0.06 N   Answer choice 0.06N + 7,200
Answer: C
Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?  Answers:
A) A)12
B) B)14
C) C)38
D) D)53
E) E)86

Solution: In this series, each number is repeated, then 5 is subtracted to arrive at the next number.   Answer: 38
Answer: C
A worker is paid x rupees for painting every 20 metres of a wall and y rupees for painting every extra metre. During one week, he painted 20 metres on Monday, 22 metres on Tuesday, 24 metres on Wednesday, 26 metres on Thursday and 28 metres on Friday. What is his average daily earning rupees for the five day week? Pick:
A) x + (8/5)y
B) (5x + 9y)/5
C) x+4y
D) None of these
E) Cannot be determined

Solution: Explanation :   On Monday, the payment = Rs x   On Tuesday, the payment = Rs (x + 2y)   On Wednesday, the payment = Rs (x + 4y)   On Thursday, the payment = Rs (x + 6y)   On Friday, the payment = Rs (x + 8y)   Average daily earning during the five-day week = (5x +20y)/5   = x + 4y   Answer : x+4y
Answer: C
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 3 can be used only once? Choose the correct choice from the following answers.
A) 20 B) 150 C) 225 D) 250 E) 316

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 6): 4*5*4*4=320   Numbers with three 3-s, 3X3X3 4*1*1*1=4   Thus there are 320-4= 
320-4 = 316
316 such numbers.   Answer: 316.
Answer: E
In a hostel there were 100 students. To accommodate 25 more students the average is decreased by some rupees. But total expenditure increased by Rs.500. If the total expenditure of the hostel now 8500, find decrease of average budget?	Options.
A) 20  B) 15  C) 12  D) 18  E) 24

Solution: Let average is x   100x + 500=8500   x = 80   let decrease = y   125(80– y)= 8500   y = 12   Answer:12
Answer: C
If a man lost 10% by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32%?  Choose the correct choice
A) 13.25
B) 14.36
C) 15.85
D) 12.27
E) 11.25

Solution: 90% ---- 18   132% ---- ?   90/132 * 18 = 12.27   Answer: 12.27
Answer: D
The owner of a local jewelry store hired four watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/5 of the diamonds he had then, and 4 more besides. He escaped with three diamonds. How many did he steal originally?  Choose the correct choice from the following answers
A) 4095  B) 4995  C) 2595  D) None of these  E) Cannot be determined

Solution: Explanation :   Since, thief escaped with 1 diamond,   Before 4th watchman, he had ( 3 + 4 ) x 5 = 35 diamonds.   Before 3rd watchman, he had ( 35 + 4 ) x 5 = 195 diamonds.   Before 2nd watchman, he had ( 195+ 4 ) x 5 = 995 diamonds.   Before 1st watchman, he had ( 995 + 4 ) x 5 = 4995 diamonds.   Answer : 4995
Answer: B
An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 21 as commission, the cloth sold through him on that day is worth
Options.
A) 333	B) 500	C) 840	D) 299	E) 132

Solution: Explanation:   Let the total sale be Rs. x.   Then, 2.5%. of x = 21 <=> (25/10 * 1/100 * x) = 21 <=> x = 840.   Answer: 840
Answer: C
A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3
for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three
children. What did each child get?
Choices.
A) 1 2 1	B) 1 2 2	C) 1 2 3	D) 1 2 4	E) 2 2 1

Solution: A father spent 7p   Each child gets 1 apple=Father spent 3p on 3 apples.   Remaining 4p.   Suppose each child gets 2 chickoos=Father spent 3p on 6 chickoos   Remaining 1p   Now if each child gets 1 peanut=Father spent 1p on 3 peanuts   1 2 1ns: 1 2 1   1 2 1NSWER:1 2 1
Answer: A
In a series of six consecutive odd numbers, the sum of the third and fifth numbers is 50. What are the third and fifth number respectively?  Choose the most appropriate option.
A) 27,31	B) 31,35	C) 21,25	D) 23,27	E) 25,29

Solution: Let the numbers be x, x + 1, x + 3, x + 5 and x + 7.   Given (x + 3) + (x + 7) = 50   => 2x + 10 = 50 => x = 20   The third number = x + 3 = 20 + 3= 
20 + 3 = 23
23.   The fifth number= x + 7 = 20 + 7= 
20 + 7 = 27
27.   Answer: 23,27
Answer: D
The speed of a boat in still water in 20 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:  Choose the correct answer.
A) 9.2	B) 10.2	C) 9.8	D) 9.6	E) 10.0

Solution: Speed downstream = (20 + 4)= 
(20 + 4) = 24
24 kmph   Time= 24 minutes =24/60 hour = 2/5 hour   9.6istance travelled = Time × speed =2/5×24 = 9.6 km   Answer is 9.6.
Answer: D
14 men can complete a piece of work in 32 days. In how many days can 16 men complete that piece of work?  Choose the most appropriate option.
A) 23 B) 27 3/4 C) 20 1/2 D) 27 1/2 E) 11

Solution: 14 * 32 = 16 * x => x = 27 1/2 days   Answer:27 1/2
Answer: D
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?  Choose the correct choice from the following answers
A) 34 days
B) 40 days
C) 46 days
D) 50 days
E) None of these

Solution: Explanation:   Less Cows, More days (Indirect Proportion)   Less bags, Less days (Direct Proportion)   [Cows1 40   40 daysags 40 1]::40:x   =>x∗40∗1=40∗1∗40   =>x=40   Option 40 days
Answer: B
I have 20 rupees. I bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamp(s) I have.	Select the correct option
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: 5x+2y = 17   where, x and y are integer.   x = 3, y= 1 (possible)   y= 6, x = 1 (possible)   => as they are different in number so, x is not equal to 3   one rupee coin = 3   2 two coin = 6   5 rupee coin = 1   Total = 10.   ANSWER:10
Answer: B
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 50 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?	Choose the correct choice from the following:
A) 79
B) 89
C) 95
D) 77.27
E) 97.2

Solution: Let the 6 courses that were taken last year be A1 , A2, A3 , A4 , A5 , A6   A1+A2+A3+A4+A5+A6 = 100*6= 
100*6 = 600
600   The year before , the 5 courses be B1, B2 , B3 , B4 , B5   B1+B2+B3+B4+B5= 50*5= 
50*5 = 250
250   Student's average= (600+250)/11 = 77.27   Answer 77.27
Answer: D
If a 10 lit. mixture contains milk and water in the ratio 2:1 then, how much more mixture should be added to change the ratio to 1:2 ?  Choices:	A) 10 liters of water	B) 15 liters of water	C) 10 liters of milk	D) 20 liters of water	E) 20 liters of milk

Solution: If you add the same mixture again,the ratio will still remain the same.   The question should be how much water to be added   In 10 litres, let quantity of milk = 2x and quantity of water = x   => 2x + x = 10   => x = 10/3 , 2x = 20/3   Let y litres of water be added to make the ratio 1:2   => (20/3) / (10/3 + y) = 1 / 2   => 40/3 = 10/3 + y   => y = 10 liters   Therefore,10 liters of water to be added.   10 liters of waterNSWER:10 liters of water
Answer: A
How many four letter combinations can be formed using the letters of the word TRIPS?
Choose the correct answer.
A) 12	B) 24	C) 120	D) 240	E) 300

Solution: The number of letters in the given word is five.   The number of four letter combinations that can be formed using these five letters is   = 5 * 4 * 3 * 2= 
5 * 4 * 3 * 2 = 120
120.   Answer: 120
Answer: C
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement? Choose the most appropriate option: A) $10,000 B) $33,000 C) $12,000 D) $12,800 E) $13,200

Solution: 1 machine of type B will cost: 20% down payment of 65,000 = 13,000plusremaining sum (65,000-13,000=52,000) with 40% of finance charges 52,000*1.4=72,800 --> 13,000+72,800=85,800;   2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000plusremaining sum (40,000-8,000=32,000) with 40% of finance charges 32,000*1.4=44,800 --> 8,000+44,800=52,800;   Difference = 85,800 - 52,800 = 33,000.   Answer: $33,000.
Answer: B
Andy has 20 pairs of matched gloves. If he loses 14 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
Choose the correct choice from the following answers: A) 9 B) 11 C) 13 D) 14 E) 15

Solution: We can solve this is second. The question isSelect an answer choice where there is no possibility of having a number as a matched of pairs   Case1: If 14 gloves are gone the maximum probability of losing maximum gloves is 14 pairs of gloves out of 20. This means i m having 6 pairs of gloves. [Minimum number of gloves i can have is 6 pairs]   Case2: If 14 gloves are gone the maximum probability of losing minimum gloves is 14/2= 
14/2 = 7
7 means i can lose 7 glove. in this scenario i will be having 13 gloves.   Hence10 < Available Glove Pair < 14   any given time I cant possess 14 glove pair for the above mentioned scenario. And thats the answer. 14.
Answer: D
Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 45 percent of the total number of employees work in research, how many male employees do NOT work in research? Choose the most appropriate option
A) 238
B) 480
C) 392
D) 208
E) 88

Solution: total number of female employees =52% =520   female employees working in research =(2/5)*520= 
(2/5)*520 = 208
208   Total no of employees working in research=45% =450   Total male employees =48%=480   male employees working in research =450-208= 
450-208 = 242
242   male employees not working in research=480-242= 
480-242 = 238
238   238nswer 238
Answer: A
Which is the middle even number between 12 and 24? Choose the correct choice from the following answers:
A) 24  B) 36  C) 42  D) 8  E) 19

Solution: 12+x = 24-x   2 x = 14   X = 7   Now 12+x = 19   ANSW19R:19
Answer: E
Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?  Select the correct option:
A) Rs. 18000 B) Rs. 20000 C) Rs. 25600 D) Rs. 32000 E) None of these

Solution: Let the monthly salaries of Ram and Shyam be Rs. r and Rs. s respectively.   10/100 r = 8/100 s   r = 4/5 s   Monthly salary of Abhinav = (1.92 lakhs)/12 = Rs. 0.16 lakhs   s = 2(0.16 lakhs) = 0.32 lakhs   r = 4/5(0.32 lakhs) = Rs. 25600   ANSWER:Rs. 25600
Answer: C
A box contains five bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?  Choose the correct choice from the following answers.
A) 256/625  B) 1/6  C) 369/625  D) 1/5  E) 4/5

Solution: Required probability   = 1 - 256/625   = 369/625   Answer: 369/625
Answer: C
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (-1, 0), (7, 4), and (7, -4)?  Choose the correct choice from the following
A) 29  B) 30  C) 31  D) 32  E) 33

Solution: The triangle is symmetric about the x-axis.   The part above the x-axis forms a triangle with a base of 8 and a height of 4.   The area of this part is (1/2)(8)(4).   We can double this to find the area of the whole triangle.   The total area is (2)(1/2)(8)(4) = 32.   The answer is 32.
Answer: D