MU-NLPC/Calc-aqua_rat huggingface dataset:
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?	Choose the correct answer.
A) 277
B) 276
C) 800
D) 271
E) 255

Solution: 25 = E/(1000 - E) * 100   1000 - E = 4E   1000 = 5E => E = 200   1000 - 200= 
1000 - 200 = 800
800   Answer: 800
Answer: C
C and D start a business with Rs.4000 and Rs.10000 respectively. Hoe should they share their profits at the end of one year? Choose the most appropriate option:
A) 5:2
B) 2:5
C) 5:3
D) 3:5
E) 2:3

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by C and D =   4000 : 10000 => 2:5 .   Answer:2:5
Answer: B
What is the area inscribed by the lines y = 10, x = 1, y = 3x+1 on an xy-coordinate plane? Choose the correct choice from the following answers.
A) a) 1	B) b) 2	C) c) 3	D) d) 6	E) e) 12

Solution: First, let's graph the lines y = 10 and x = 1   At this point, we need to find the points where the line y = 3x+1 INTERSECTS the other two lines.   For the vertical line, we know that x = 1, so we'll PLUG x = 1 into the equation y = 3x+1 to get y = 3(1)+1 = 4   Perfect, when x = 1, y = 5, so one point of intersection is (1,4)   For the horizontal line, we know that y = 10, so we'll PLUG y = 10 into the equation y = 3x+1 to get 10 = 3x+1. Solve to get: x = 3   So, when y = 10, x = 3, so one point of intersection is (3,10)   Now add these points to our graph and sketch the line y = 3x+1   At this point, we can see that we have the following triangle.   The base has length 2 and the height is 6   Area = (1/2)(base)(height)   = (1/2)(2)(6)   = 6   Answer:   d) 6
Answer: D
The perimeters of two squares are 40 cm and 28 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .  Choose one:  A) 22 cm  B) 28.4 cm  C) 26 cm  D) 28 cm  E) 29 cm

Solution: Explanation:   We know perimeter of square = 4(side)   So Side of first square = 40/4= 
40/4 = 10
10 cm   Side of second square= 28/4= 
28/4 = 7
7 cm   Area of third Square= 10*10 - 7*7= 
10*10 - 7*7 = 51
51 cm   So side of third square= 7.1 [because area of square = side*side]   Perimeter = 4*Side = 4*7.1= 
4*7.1 = 28.4
28.4 cm   Answer: Option 28.4 cm
Answer: B
One used-car salesperson receives a commission of $ 200 plus 4 percent of $ 2,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?	Choose the correct choice from the following answers
A) $ 5,000 B) $ 6,000 C) $ 8,000 D) $ 10,000 E) $ 12,000

Solution: This question can be solved by TESTing THE ANSWERS.   We're given the pay rate of two different salespeople who sell cars:   1) A commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price.   2) A straight commission of 6 percent of the car’s final sale price.   We're asked for the final sale price of a car if both salespeople would earn the SAME commission for selling it?   Let's TEST Answer B: $6,000   1st salesperson = $200 + .04(6,000 - 1,000) = $200 + .04(5,000) = $200 + $200 = $400   2nd salesperson 200 +  200= 
200 +  200 = 400
$400   2nd salesperson= .06(6,000) = $360   These totals are NOT the same, so we can eliminate B. Looking at the two pay 'formulas', we can see that the 2nd salesperson will make more money than the 1st when the price of the car increases to a significant level, so we need a price that is HIGHER than $6,000. Since the difference in pay is relatively small in Answer B, we're likely looking for a number that is fairly close to $6,000 though...   Let's TEST Answer C: $8,000   1st salesperson = $200 + .04(8,000 - 1,000) = $200 + .04(7,000) = $200 + $280 = $480   2nd salesperson 200 +  280= 
200 +  280 = 480
$480   2nd salesperson= .06(8,000) = $480   These totals are the SAME, so this must be the answer.   Final Answer:   $ 10,000
Answer: D
Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction? Choose the correct choice from the following
A) 21.6 B) 21.69 C) 21.66 D) 21.64 E) 21.61

Solution: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.6,000   He lend the same amount for C.I at 6% p.a. for two years.   => Siddharth's income = C.I - S.I   = p[1 + r/ 100]n - p - pnr/100   = p{ [1 + r/ 100]2 - 1 - nr/100   = 6,000{ [1 + 6/100]2 - 1 - 12/100}   = 6,000 {(1.06)2- 1 - 0.12} = 6,000(1.1236 - 1 - 0.12)   = 6,000 (0.0036) = 6 * 3.6 = Rs.21.60.21.6nswer:21.6
Answer: A
The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 5 years ago ? (RBI Assistant 2015)
Choose the correct choice from the following options:  A) 24  B) 18  C) 12  D) 16  E) 13

Solution: Let the present age of Viju be 7x years and that of Aju be 2x years.   Then, 4 years from now   7x + 4 / 2x + 4 = 5 / 2   or 4x = 12   or x = 3   Viju present age = 7 * 3= 
7 * 3 = 21
21 years   Viju age 5 years ago= 21 - 5= 
21 - 5 = 16
16 years   answer :16
Answer: D
In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?  Choose the correct choice from the following choices:
A) 1/12
B) 1/6
C) 1/2
D) 1/4
E) 1/3

Solution: Probability that trouser is not black = 2/3   Probability that shirt is not black = 3/4   Required probability = 2/3 x 3/4 = 1/2   ANSWER:1/2
Answer: C
If y exceeds x by 20%, then x is less than y by?
Choose the correct choice from the following options
A) 16 2/7%
B) 16 7/3%
C) 16 2/3%
D) 16 2/6%
E) 16 1/3%

Solution: X=100	y=120   120------20   100-------? => 16 2/3%   Answer: 16 2/3%
Answer: C
From 6 positive numbers and 6 negative numbers, how many groups C of 4 numbers, yielding a positive product, can be formed?	Select: A) 720 B) 625 C) 30 D) 960 E) 255

Solution: Potential combinations of 4 numbers that will yield positive product   ++++ 4C6   ---- 4C6   ++-- 2C6*2C6   4C6 + 4C6 + 2C6*2C6   C=15 +15 + 15*15 = 255.255
Answer: E
What is the 9th digit to the right of the decimal point in the decimal equivalent of 48/11? Options:
A) 3
B) 5
C) 6
D) 4
E) 2

Solution: 48/11 = 4.3636....   36 is non-terminating repeating decimal.   The 9th digit to the right of decimal point will be 3.   3nswer 3
Answer: A
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6800 ?	Choose one
A) 4966  B) 6791  C) 2877  D) 2676  E) 1881

Solution: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs.[(6800 x 6) - 34009]   = Rs. (40800 - 34009)   = Rs. 6791   Answer: 6791
Answer: B
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.4400, what will be the difference between Q and R's share? Choose the correct option.
A) 2788 B) 5500 C) 7282 D) 2782 E) 2729

Solution: 4 --- 4400   5 --- ? => 5500   Answer:5500
Answer: B
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?  Choose the correct option.
A) 2333  B) 2777  C) 1200  D) 1987  E) 1671

Solution: P --- 10 ---- 600   P --- 5 ----- 300   3P --- 5 ----- 900   ------   => 1200   Answer:1200
Answer: C
Mike invested $2000 in fund A and $1000 in fund B. Over the next Three years, the money in Fund A earned a total interest of 18 percent for the three years combined and the money in fund B earned 30 percent annual interest compounded annually. Three years after Mike made these investments. Mike's investment in fund A was worth how much more than his investment in fund B?	Choose the correct choice from the following
A) 1. $160	B) 2. $150	C) 3. $200	D) 4. $183	E) 5. $163

Solution: interest on fund A will be 360. rate of interest will be 6% per annum simple interest as 18% is for 3 year. this will make investment A 2360 at the end of 3rd year.   interest on fund B will be 1197 on 30% interest compounded annually. This will make investment B 2197 at the end of 3rd year.   Difference in investment A and investment B=2360-2197= 
2360-2197 = 163
163   answer is 5. $163.
Answer: E
23, 29, 31, 37, 41, 43, (...)	Choose one.
A) 53	B) 47	C) 48	D) 59	E) 45

Solution: Explanation :   All are prime numbers in their order, starting from 23   Hence, next number is 47   Answer : Option 47
Answer: B
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 10 percent on food, and 40 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?	Choose the correct answer:
A) 2.8%  B) 3.6%  C) 4.4%  D) 5.2%  E) 6.0%

Solution: Let amount spent by Jill = 100   Clothing=50, Food=10, others=40   Tax on clothing= 2   Tax on others=3.2   Percentage= 5.2/100 =5.2%   Answer: 5.2%
Answer: D
If an object travels at 8 feet per second, how many feet does it travel in forty five minutes? Choose the most appropriate option:
A) 18000
B) 24000
C) 21600
D) 18000
E) 22000

Solution: If an object travels at 8 feet per second it covers 8x60 feet in one minute, and 8x60x45 feet in forty five minutes.   Answer = 21600 Answer:21600
Answer: C
A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total which of the following?	Pick one:	A) $1,000	B) $1,200	C) $1,400	D) $1,800	E) $2,200

Solution: The family pays $800 per year for the plan, plus (100 percent minus 80 percent) or 20 percent of the first $1,000 in medical expenses, while the insurance company pays 80 percent of the first $1,000, or $800. It must pay an additional $200 to match what the family pays out. Since the $200 comes after the first $1,000 in expenses, it must represent 100 percent of additional expenses. Therefore, there must have been $1,000 plus $200 or $1,200 in medical expenses altogether.   B. $1,200
Answer: B
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 15 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Pick:
A) $180,000
B) $185,000
C) $190,000
D) $177,500
E) $205,000

Solution: 30% of 1000 = 300 worked for 15 hours   Payment @ 5/hr   Total Payment = 300*15*5= 
300*15*5 = 22_500
22500   50 % of 1000= 500 worked for 40 hours   Payment @ 5/hr   Total payment = 500*40*5= 
500*40*5 = 100_000
100000   Remaining 200 worked for 50 Hours   Payment for first 40 Hours @ 5 /hr   Payment= 200*40*5= 
200*40*5 = 40_000
40000   Payment for next 10 hr @ 7.5/hr   Payment= 200 * 10 * 7.5= 
200 * 10 * 7.5 = 15_000
15000   Total Payment= 22500+100000 + 40000 +15000 = 1775000   Hence , answer is $177,500
Answer: D
What is the sum of all remainders obtained when the first 100 natural numbers are divided by 7?
Choose the correct choice from the following answers.
A) 397	B) 401	C) 403	D) 405	E) 306

Solution: A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.   1 divided by 9 gives the remainder of 1;   2 divided by 9 gives the remainder of 2;   ...   8 divided by 9 gives the remainder of 8;   9 divided by 9 gives the remainder of 0.   We'll have 11 such blocks, since  99/9= 
 99/9 = 11
11. The last will be:   91 divided by 9 gives the remainder of 1;   92 divided by 9 gives the remainder of 2;   ...   98 divided by 9 gives the remainder of 8;   99 divided by 9 gives the remainder of 0.   The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:   11(1+2+3+4+5+6+7+8+0)+1=306.   Answer: 306.
Answer: E
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability J that the sum of the two integers will equal 9 ?  Pick one
A) 0.15
B) 0.20
C) 0.25
D) 0.30
E) 0.33

Solution: Rearrange the first set:   A = {5,4,3,2}   B = {4,5,6,7, 8}   As you can see numbers in each column (the numbers of the same color) give the sum of 9. So there are 4 such pares possible, total # of pairs is 4*5= 
4*5 = 20
20. J=favorable/total=4/20=0.2.   Answer: B.   Or: we can select ANY number from set A (4/4=1) but in this case we must select its matching pair from set B (the number of the same color) and since there are only one matching pair of this particular number in B then the probability of this is 1/5. So, overall: J=1*1/5.   Answer: 0.20.
Answer: B
Two cars cover the same distance at the speed of 40 and 24 kmps respectively. Find the distance traveled by them if the slower car takes 2 hour more than the faster car? Pick one.
A) 278 B) 480 C) 960 D) 278 E) 261

Solution: 40(x + 2) = 24x   X = 8   60 * 8= 
60 * 8 = 480
480 km   Answer:480
Answer: B
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?  Choose the correct choice from the following options:
A) 298  B) 207  C) 238  D) 205  E) 293

Solution: A:B:C = 100:65:40   = 20:13:8   8 ---- 40   41 ---- ? => Rs.205   Answer:205
Answer: D
In a renowned city, the average birth rate is 8 people every two seconds and the death rate is 6 people every two seconds. Estimate the size of the population net increase that occurs in one day.  Choose the correct choice from the following options
A) 32,300 B) 172,800 C) 468,830 D) 86,400 E) 259,200

Solution: Every 2 seconds, 2 persons are added (8-6). Every second 1 persons are added.   In a day 24hrs = 24 * 60 Minutes = 24 * 60 * 60= 
24 * 60 * 60 = 86_400
86400 seconds.   86400 * 1= 
86400 * 1 = 86_400
86400   Option 86,400
Answer: D
A and B started a business with initial investments in the ratio 4 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ? Choose one.
A) 6 months
B) 8 months
C) 9 months
D) 5 months
E) 14 months

Solution: Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 4 : 3.   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (4 × 12) / (3 × a) = 8 / 7 => 24a = 336 or   a = 336 / 24= 
336 / 24 = 14
14 or 14 months   Option 14 months
Answer: E
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Choose the correct choice from the following
A) 33 days  B) 77 days  C) 99 days  D) 11 days  E) 18 days

Solution: x/24 + x/30 + x/40 = 1   x = 11 days   Answer: 11 days
Answer: D
In how many of ways can 4 balls be placed in 4 tins if any number of balls can be placed in any tin?	Answers
A) 5C4
B) 5P4
C) 54
D) 4^4
E) 5^5

Solution: Now, each of the 4 different balls has 4 choices (4 tins to go to), so total # of distribution is 4*4*4*4=4^4.   Answer: 4^4.
Answer: D
5^4 + 5^4 + 5^4 + 5^4 =  Choose one:
A) 5^5 B) 5^6 C) 4^8 D) 4^9 E) 4^12

Solution: Hi shakticnb,   Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think about how you might change the way that the information is presented to you.   Here, for example, we're asked for....   5^4 + 5^4 + 5^4 + 5^4 =   Now, the GMAT doesn't really expect us to calculate this sum (but we could if we had to), but we are expected to find a way to organize this information... If, instead of all of those exponents, we had...   X + X + X + X =   What would the sum be?   Clearly, it would be 4(X) = 4X.....since we're just combining 'like' terms. Take that same idea with this prompt and you have...   5^4 + 5^4 + 5^4 + 5^4 =   5(5^4)   This can be re-written as...   (5^1)(5^4)   ...and now we can use exponent rules; since we're MULTIPLYING 'bases' that are the same, we ADD the exponents...   (5^1)(5^4) = 5^5   Final 5^5nswer:   5^5
Answer: A
A train is moving at the speed of 80 km/hr. What is its speed in metres per second? Select the correct option:
A) 22 2/9 m/s
B) 22 8/9 m/s
C) 22 2/7 m/s
D) 22 2/5 m/s
E) 22 3/9 m/s

Solution: Speed = 80 km/hr = 80×518 m/s = 40×59 m/s = 2009 m/s = 22 2/9 m/s   22 2/9 m/snswer : 22 2/9 m/s
Answer: A
The length of a side of a hexagon is 2 inches. What is the perimeter? Choices:
A) 11
B) 12
C) 13
D) 14
E) 15

Solution: Hexagon. It means 6 equal sides.   p = 2 + 2 + 2 + 2 + 2 + 2 = 4 + 4 + 4 = 8 + 4= 
8 + 4 = 12
12 inches   Answer 12
Answer: B
Find the constant k so that : -x2 - (k + 7)x - 8 = -(x - 2)(x - 4) Select the correct option:  A) -11  B) -12  C) -13  D) -14  E) -15

Solution: -x2 - (k + 7)x - 8 = -(x - 2)(x - 4) : given   -x2 - (k + 7)x - 8 = -x2 + 6x - 8   -(k + 7) = 6 : two polynomials are equal if their corresponding coefficients are equal.   k = -13 : solve the above for k   correct answer -13
Answer: C
Find out the square of a number which when doubled exceeds its one seventh by 13 ? Options:
A) 16 B) 49 C) 19 D) 26 E) 17

Solution: A   Let the number be p, then the square will be p^2   According to question:   2p = (p/7) + 13   => 14p = p +91   => p = 7   p^2 = 7^2 = 49.   Answer : 49
Answer: B
The average of a set of five distinct integers is 350. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers? Choose the correct option
A) -4,244 B) -3,997 C) -3,494 D) -3,194 E) The answer cannot be determined from the information given

Solution: Sum of the set = 350*5= 
350*5 = 1_750
1750 Each number is less than 2000 and median of the set is the greatest possible value.   Therefore last 3 numbers can be 1999,1998 and 1997. Their sum=5994.   Therefore sum of two smallest numbers= 1750-5994= -4244   -4,244nswer=-4,244
Answer: A
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43, 46, 51 x Answers
A) 29  B) 31  C) 23  D) 54  E) 59

Solution: (54)   The pattern is + 3, + 5, + 3, + 5, …………   So the missing term is = 51 + 3= 
51 + 3 = 54
54.
Answer: D
In the biology lab of "Jefferson" High School there are 1.08*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?	Choose the correct choice from the following: A) 100 B) 200 C) 500 D) 1000 E) 5000

Solution: 1.08*10^6/ 10800==> 10.8*10^3/108==> 10800/108= 
10800/108 = 100
100   100NSWER:100
Answer: A
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?	Choose the correct choice from the following choices
A) Rs.150 B) Rs.220 C) Rs.250 D) Rs.300 E) Rs.310

Solution: Let the amount paid to A per week = x   and the amount paid to B per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: C
P is three times as fast as Q and working together, they can complete a work in 15 days. In how many days can Q alone complete the work?  Choose the correct choice.
A) 16 days  B) 17 days  C) 19 days  D) 14 days  E) 20 days

Solution: P = 3Q   P + Q = 3Q + Q = 4Q   These 4Q people can do the work in 15 days, which means Q can do the work in 60 days.   Hence, P can do the work in 20 days.   Answer:20 days
Answer: E
A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is:  Choose the correct choice.
A) Rs.120 B) Rs. 160 C) Rs.240 D) Rs.300 E) Rs.500

Solution: Let C's share = Rs. x   Then, B's share = Rs. x/4; A's share = Rs.2/3 * x/4= Rs. x/6   Therefore x/6 + x/4 + x = 1360   17x/12 = 1360   x= 1360*12/17= Rs.960   Hence, B's share= Rs.960/4= 
.960/4 = 0.24
Rs.240   ANSWER:Rs.240
Answer: C
Four times the first of the three consecutive even integers is 7 more than thrice the second. The third integer is  Choose the correct choice from the following options:  A) 9  B) 11  C) 13  D) 17  E) 15

Solution: Solution   Let the three integers be x, x+2, x+4 4x = 7 + 3(x+2) x = 13 Third integer is x+4 = 13+4= 
13+4 = 17
17.   Answer 17
Answer: D
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 18 machines produce in 6 minutes?	Choose the correct choice:
A) 1344
B) 3360
C) 7560
D) 50400
E) 67200

Solution: 8 machines produce 560 in 1 min   8 machines produce 560* 6 in 6 min   18 machine produce 560*6*(18/8) in 6 minutes     560*6*18/8= 
  560*6*18/8 = 7_560
7560 answer is 7560.
Answer: C
A train is moving at a speed of 45km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?  Choose the correct choice from the following choices:
A) 30sec B) 45sec C) 40sec D) 29sec E) 52sec

Solution: Speed of the train = 45*5/18 = 25/2 m/sec   Distance moved in passing the standing man = 500m   Required time taken = 500/(25/2)= 
500/(25/2) = 40
40sec   Answer is 40sec
Answer: C
John completes a piece of work in 10 days, Jerry completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct choice from the following
A) 4 days	B) 8 days	C) 10 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.   That is, the required No. of days = 10 × 40/50 = 8 days.   8 days)
Answer: B
How many pairs t, t+1) have one or more prime factors common, where t is an integer and 2 ≤ t ≤9 ? Choose the correct option
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: t and t+1 are consecutive integers.   Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.   0nswer: 0.
Answer: A
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle?
Choose the correct answer:
A) 65	B) 80	C) 85	D) 90	E) 95

Solution: In a parallelogram opposite angles are equal and the angles at each side are supplementary to each other (supplementary angles are two angles that add up to 180°).   Given: x+(x+50)=180 --> x=65.   65nswer: 65.
Answer: A
Rani worked in the Private company. At the time of Interview officer told her to give Salary Rs. 15000/- per month & Also 2-3 % to be increased in every month. she have taken 2-3 leaves. After one month she got Rs. 13950/- then How much amount increased to her? What is the percentage value?  Select:
A) 300-1%  B) 400- 2%  C) 405 -3%  D) 2150- 5%  E) 500 - 3%

Solution: Rani's Total Salary : 15000/-   Leave Days : 3days   3 days salary : 1500/-   Salary after leaves :  15000-1500= 
 15000-1500 = 13_500
13500/-   Amount received : 13905/-   Difference amount= received amount- payable amount   ie, 13905 - 13500 = 405/-   Percentage value = 405/13500*100= 
405/13500*100 = 3
3%   Answer is (405 -3%)
Answer: C