MU-NLPC/Calc-aqua_rat huggingface dataset:
27 * 27* 27 * 27 = 3^ ?	Choices:
A) 7	B) 12	C) 5	D) 6	E) 8

Solution: 3^3 * 3^3 * 3^3 * 3^3 = 3^ (3+3+3+3) = 3^12   Answer : 12   Option : 12
Answer: B
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?  Choose the correct choice from the following options
A) Rs.345	B) Rs.270	C) Rs.275	D) Rs.324	E) Rs.525

Solution: Explanation:   I = (500*9*6)/100= 
(500*9*6)/100 = 270
270   ANSWER IS Rs.270
Answer: B
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Choose the correct choice
A) 7/41  B) 9/42  C) 3/47  D) 3/49  E) None

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: B
How many 1/12s are there in 37 1/2? Choose the correct choice from the following choices
A) 350  B) 450  C) 500  D) 650  E) 700

Solution: Required number = (75/2)/(1/12)   = (75/2 x 12/1)   = 450.   ANSWER:450
Answer: B
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 10, 20 and 32, what is the minimum possible range in scores of the three test-takers? Options:	A) 15	B) 35	C) 50	D) 20	E) 10

Solution: I simply looked at the 3 different possible scores for each individual test: 10,32,20   We have to find the minimum range:    32-10= 
 32-10 = 22
22   32-20= 
32-20 = 12
12   20-10= 
20-10 = 10
10   The find the minimum range, you have to make the set of the 5 scores as small as possible.   Which means that 4 of the 5 scores of each individual person is zero.   10*5= 
10*5 = 50
50.   Answer:50
Answer: C
The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is?  Choices
A) 288
B) 277
C) 308
D) 988
E) 112

Solution: Other number = (11 * 7700)/275= 
(11 * 7700)/275 = 308
308.   Answer: 308
Answer: C
A test has a mean of 220 and a standard deviation of 10, find the corresponding z score for: a) a test score of 232?  Choose the most appropriate option
A) 1.2	B) 2.4	C) 5	D) 5.6	E) 7

Solution: 1.2 test has a mean of 220 and a standard deviation of 10,   find the corresponding z score for:   a) a test score of 232,   z(232) = (232-220)/10 = 12/10= 
12/10 = 6/5 = around 1.2
1.2   Option 1.2
Answer: A
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $168, how many hours overtime did he work?  Choose the correct choice from the following options
A) 8	B) 21	C) 14	D) 12	E) 15

Solution: 8nswer is: B   8t $3 per hour up to 40 hours, regular pay = $3 x 40 = $120 If total pay = $168, overtime pay = $168 - $120 = $48 Overtime rate (twice regular) 168 -  120= 
168 -  120 = 48
$48 Overtime rate (twice regular)= 2 x $3 = $6 per hour => number of overtime hours = $48/$6 = 848/ 6= 
48/ 6 = 8
8
Answer: A
Nikhilesh invested certain amount in three different schemes A, B and C with the rate of interest 10 p.c.p.a., 12 p.c.p.a.and 15 p.c.p.a. respectively. If the total interest accrued in one year was 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?  Choose the correct choice from the following answers:	A) 8000	B) 5000	C) 6500	D) Cannot be determined	E) None of these

Solution: Ratio of Nikhilesh’s investments in different schemes   = 100:150×100/240:150=8:5:12   Now, according to the question,   8k×10/100+5k×12/100+12k×15/100 = 3200   or, 80k + 60k + 180k = 3200 × 100   or, 320k = 3200 × 100   or, k = 1000   ∴ amount invested in scheme 5000 will be = 1000 × 5 = 5000   Answer 5000
Answer: B
In a series of consecutive odd numbers, 27 is the sixth smallest number and 25 is the tenth largest number. What is the range of the series? Choose the correct answer:
A) 32
B) 26
C) 28
D) 16
E) 14

Solution: Imp:All are consecutive odd numbers.   27 is the 6th smallest ,there are 5 numbers smaller then 27 ,smallest number :  27-10= 
  27-10 = 17
17   25 is the 10th largest ,so there are 9 numbers larger then 25, largest number: 25+18= 
 25+18 = 43
43   Range:43-17= 
43-17 = 26
26   Ans : 26
Answer: B
The H.C.F. of two numbers is 15 and their L.C.M. is 620. If one of the numbers is 375, then the other is:	Choose the correct choice from the following options
A) 36.6  B) 42.8  C) 28.4  D) 11.6  E) 24.8

Solution: Other number =	(15 x 620)/375 = 24.8.   ANSW24.8R :24.8
Answer: E
A couple spent $132 in total while dining out and paid this amount using a credit card. The $132 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip? Choose the correct option: A) $100 B) $104 C) $108 D) $112 E) $116

Solution: Let the price of the meal be x.   $100fter a 10% sales tax addition, the price is 1.1*x   $100fter a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x   1.32x = 132   x = 100   The correct answer is $100.
Answer: A
Three hundred students at College Q study a foreign language. Of these, 160 of those students study French, and 190 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Pick.
A) 30 to 50
B) 40 to 100
C) 60 to 100
D) 60 to 110
E) 70 to 110

Solution: 160 students study French   140 students do not study French   190 students study Spanish   110 students do not study Spanish   90 students study neither French nor Spanish   140-110= 
140-110 = 30
30   140-90= 
140-90 = 50
50   A. 30 to 50
Answer: A
A Bird is flying into the wind going 6 Km/Hr, and with the wind going 26 Km/Hr, What is his Rate?
Choose the correct choice:
A) 10 Km/Hr
B) 12 Km/Hr
C) 5 Km/Hr
D) 15 Km/Hr
E) 8 Km/Hr

Solution: DW=26   UW=6   s=?   s= (26-6)/2 = 20 / 2= 
20 / 2 = 10
10   10 Km/Hrnswer= 10 Km/Hr
Answer: A
The diameter of a cylindrical tin is 4cm and height is 5 cm. Find the volume of the cylinder?
Choose the most appropriate option
A) 33 B) 45 C) 20 D) 77 E) 21

Solution: r = 2 h = 5   π * 2 * 2 * 5 = 20 π cc   Answer:20
Answer: C
Of the following, which is nearly equal to √12? Choose the correct option:	A) 1.5	B) 2.8	C) 3.4	D) 3.5	E) 4.4

Solution: Correct answer is 3.5   Let us take the square roots of all the numbers     3.4*3.4= 
  3.4*3.4 = 11.56
11.56   3.5*3.5= 
3.5*3.5 = 12.25
12.25   3.5ifference   12 - 11.56= 
12 - 11.56 = 0.44
0.44   12.25 - 12= 
12.25 - 12 = 0.25
0.25   Since 0.25 is lesser of both, 3.5 is closer   Answer is 3.5
Answer: D
Half of 2 percent written as decimal is  Choose the correct option
A) 5  B) 0.01  C) 0.05  D) 0.005  E) None of these

Solution: Explanation:   It will be 1/2(2%) = 1/2(2/100) = 2/200= 
2/200 = 1/100 = around 0.01
0.01   Answer: Option 0.01
Answer: B
Three blocks of different colors are to be placed on a row. How many different sitting arrangements are possible if red must be placed next to blue ? Select.
A) 2	B) 4	C) 6	D) 8	E) 10

Solution: Consider red and blue as one. But, in this arrangement they can be placed in two different combinations.   Red first and Blue second or blue first and red second.   Total we have (R and B) and third color = 2 arrangements to do.   Total arrangements= 2*2= 
2*2 = 4
4   4 is the answer
Answer: B
What is the unit digit of (6!*3! / 3!*4!)?  Choose the most appropriate option:
A) 5 B) 6 C) 0 D) 3 E) 4

Solution: (6!*3! /3!*4!)   =(6! / 4!)   =5*6= 
5*6 = 30
30   Units digit of the above product will be equal to 0   Answer 0
Answer: C
Divide Rs. 2800 among A, B and C so that A receives 3/4 as much as B and C together and B receives 1/4 as A and C together. A's share is?
Select.
A) 1300
B) 1200
C) 1375
D) 1400
E) 8400

Solution: A+1200+C = 2800   A = 3/4(1200+C); 1200 = 1/4(A+C)   A/(1200+C) = 3/4   A = 1/7 * 8400= 
1/7 * 8400 = 1_200
> 1200   Answer: 1200
Answer: B
Two bullet train s 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is: Choose one:	A) 15.8 sec.	B) 12.24 sec.	C) 11.8 sec.	D) 10.8 sec.	E) 08.8 sec.

Solution: Relative speed = (60 + 40) km/hr = 100x5/18 = 250/9 m/ sec.   Distance covered in crossing each other = (140 + 200)= 
(140 + 200) = 340
340 m.   Required time= 340x9/250 = 54/5 = 12.24 sec.   ANSWER 12.24 sec.
Answer: B
At what rate percent per annum will a sum of money double in 8 years.  Choose the correct choice from the following choices.
A) 12.5%
B) 13.5%
C) 11.5%
D) 14.5%
E) 21.5%

Solution: Let principal = P, Then, S.I.=P and Time=8 years   Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum. 12.5%nswer: 12.5%
Answer: A
Find the amount on Rs.6000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?  Choose the most appropriate option.
A) 5568	B) 6369	C) 5460	D) 5635	E) 6552

Solution: 6000 * 104/100 * 105/100= 
6000 * 104/100 * 105/100 = 6_552
> 6552   Answer:6552
Answer: E
The time taken to travel from city X to city Y is 12 hrs.if a person starts at 6 a.m from city x and another person leaves in city y at 8 p.m .when they will meet.
Select the correct option: A) 6 A.M B) 7 A.M C) 8 A.M D) 9 A.M E) 10 A.M

Solution: i-X- 6 A.M 7 A.M 8 A.M 9 A.M 10 A.M 11 A.M 12 P.M 1 P.M 2 P.M 3 P.M 4 5 6 P.M -Y   x- 8 A.M 7 A.M 6 A.M 5 A.M 4 A.M 3 A.M 2 A.M 1 A.M 12 A.M 11 P.M 10 9 8P.M-Y   SO THEY MEET AT 7 A.M   ANSWER:7 A.M
Answer: B
In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and B's share is Rs.130, what is C's capital? Choose the most appropriate option.
A) Rs.18800 B) Rs.18700 C) Rs.18600 D) Rs.17500 E) Rs.16400

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 8000   470 ---- ?=> Rs.18800   Rs.18800NSWER:Rs.18800
Answer: A
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?  Choose the most appropriate option:  A) Y2=XY  B) X2=YZ  C) Y2=XZ  D) Z2=XZ  E) Y2=XZ

Solution: X = (Y*NR)/100 Y = (Z*NR)/100   X/Y = NR/100 Y/Z = NR/100   X/Y = Y/Z   Y2 = XZ   Answer:Y2=XZ
Answer: C
The average age of a group of n people is 14 years old. One more person aged 34 joins the group and the new average is 16 years old. What is the value of n?
Choose the correct choice from the following answers: A) 7 B) 8 C) 9 D) 10 E) 11

Solution: 14n + 34 = 16(n+1)   2n = 18   n = 9   The answer is 9.
Answer: C
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 17 inches than that of a rectangular sheet of paper measuring 8.5 inches by 11 inches?	Choose the correct choice from the following choices:
A) 50%	B) 87%	C) 100%	D) 187%	E) 200%

Solution: Area of sheet A = 11*17   Area of sheet B = 11*8.5   Difference in Area = 11*8.5   Required % = (11*8.5)*100/(11*8.5)= 
(11*8.5)*100/(11*8.5) = 100
100%   ANSWER:100%
Answer: C
An Olympic diver received the following scores: 4, 2, 5, 1. The standard deviation of her scores is in which of the following ranges?
Choose one:
A) 2.01 to 2.99 B) 4.01 to 4.99 C) 1.01 to 1.99 D) 3.01 to 3.99 E) 5.01 to 5.99

Solution: 4+2+5+1/4=3   ∣4−3∣^2 =1^2 = 1   ∣2−3∣^2 =1^2 = 1   ∣5−3∣^2 =2^2 = 4   ∣1−3∣^2 =2^2 = 4   sqrt 10/4 =1.58   Answer : 1.01 to 1.99
Answer: C
A train 140 m long running at 84 kmph crosses a platform in 16 sec. What is the length of the platform?
Pick
A) 287  B) 298  C) 233  D) 726  E) 267

Solution: D = 84 * 5/18 = 16   = 373 â€“ 140   = 233   Answer: 233
Answer: C
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit? Options.
A) Rs 72
B) Rs 88.20
C) Rs 79.15
D) Rs 93
E) Rs 97

Solution: C.P. = Rs.	(100/122.5)x 392	= Rs.	(1000/1225)x 392= Rs. 320   Profit = Rs. (392 - 320) = Rs. 72.   Rs 72NSWER :Rs 72
Answer: A
The average speed of a car is 1 3/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Select the correct option.
A) 400 km
B) 320 km
C) 360 km
D) 550 km
E) 600 km

Solution: Sol. Average speed of a tractor = 25 km / h   The speed of a bike in an hour = 25 × 2 = 50 km   The speed of a car in an hour = 8/5 * 50= 
8/5 * 50 = 80
80 km   So, the distance covered by car in 4 h is   80 × 4= 320 km   Ans.(320 km)
Answer: B
A certain company reported that the revenue on sales increased 50 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?  Pick:
A) 50 %
B) 40 %
C) 35 %
D) 32 %
E) 20 %

Solution: Assume the revenue in 2000 to be 100. Then in 2003 it would be 150 and and in 2005 180, so from 2003 to 2005 it increased by (180-150)/150=30/150=20%.   Answer: 20 %.
Answer: E
How many integers E are prime numbers in the range 200 < E < 220?
Select
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: My friend, every single odd number greater than can be written either as 4E+1 or as 4E+3. If you divide any odd number by 4, you will get a remainder of either 1 or 3. That's not a rule unique to prime numbers at all.   The 6E+1 or 6E-1 rule is basically every odd number that is not divisible by three, so it narrows the search a little.   Here's how I thought about the problem. First, eliminate all the even numbers and the odd multiples of 5 in that range. That leaves us with:   {201, 203, 207, 209, 211, 213, 217, 219}   Eliminate the four multiples of 3. Notice that 21 is a multiple of 3, so 210 is also a multiple of 3. If we add or subtract 3 or 9, we get more multiples of three. When we eliminate those, we are left with.   {203, 209, 211, 217}   Now, notice that a cool thing about this range is that 210 is also a multiple 7 (again, because 21 is a multiple of 7). This means that    210 - 7= 
 210 - 7 = 203
203   210 + 7= 
210 + 7 = 217
217   Those two numbers are also multiples of 7, so eliminate them from the list. Now, we are left with   {209, 211}.   We've already checked all the prime numbers less than 10, so we know that neither of these numbers is divisible by anything less than 10. We have to check 11 now. We know that 22 is a multiple of 11, so 220 is also a multiple of 11. This means that    220 - 11= 
 220 - 11 = 209
209   is also a multiple of 11. We can eliminate this from the list also.   That leaves us with just 211. There's no zero option in the question, so this must be a prime number.   1nswer= (1)
Answer: A
The Price of 357 apples is Rs.2499. What will be the price of 49 dozens of such apples?	Choose the correct choice:	A) Rs.3800	B) Rs.2816	C) Rs.4116	D) Rs.3116	E) None of these

Solution: Expl : More apples, more cost(Direct)   357 *588 : : 2499 : x   x = (588*2499)/357= 
(588*2499)/357 = 4_116
4116   Answer: Rs.4116
Answer: C
Sum of even numbers between 15 and 25 is
Choose the correct choice from the following choices.
A) 70
B) 80
C) 130
D) 100
E) 120

Solution: Explanation: 16 + 18 + .......24.   Taking 2 common we get = 2 ( 8 + 9 + 10 +.....+ 12)   Sum of n natural numbers upto 12   8 + 9 + 10 +.....+ 12 = (1 + 2 + 3 + ......+ 12) - ( 1 + 2 + 3 + ....+ 7)   By applying the formula for the first n natural numbers sum n (n+1)/2we get, =50   So 16 + 18 + .......24 = 2 Ã— 50 = 100   ANSWER IS 100
Answer: D
A pair of prime numbers that can be expressed in the form E{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT  Choose the correct choice from the following choices.
A) 11  B) 13  C) 17  D) 19  E) 23

Solution: definetly a sitter.plug in the values for middle term and calculate.We can see clearly that E for 19 , 19+6 gives 25 which is not a prime   therefore correct answer 19
Answer: D
If g and h are positive integers, and 3 is not a factor of h, then h may be which of the following?
Options:
A) (g−1)·g·(g+1)
B) (g−3)·(g−1)·(g+1)
C) (g−2)·g·(g+2)
D) (g−1)·g·(g+2)
E) (g−3)·(g+1)·(g+2)

Solution: Plugged in values :   let g=5   A. (g−1)·g·(g+1) --> divisible by 3   B. (g−3)·(g−1)·(g+1) --> divisible by 3   C. (g−2)·g·(g+2) --> divisible by 3   D. (g−1)·g·(g+2) --> not divisible. Hence the answer.
Answer: D
What is the area of a square field whose diagonal of length 20 m? Select the correct option:
A) 150
B) 300
C) 200
D) 450
E) 600

Solution: Explanation:   d^2/2 = (20 * 20)/2= 
(20 * 20)/2 = 200
200   Answer: 200
Answer: C
When average age of 20 members are 0, how many members greater than 0?
Choose the correct choice from the following:	A) 17	B) 19	C) 21	D) 24	E) 25

Solution: Average of 20 numbers = 0.   Sum of 20 numbers (0 x 20) = 0.   It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a)   Answer is 19 (19)
Answer: B
What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 4?
Choose the correct choice from the following answers:  A) 4  B) 3  C) 2  D) 5  E) None of the above

Solution: Notice that in the brackets we have the sum of 9 even multiples of 4, hence the sum in the brackets will be even multiple of 4 (the sum of 9 even numbers is even). which yields remainder of 0 upon division by 4.   Answer : None of the above
Answer: E
The last day of a century cannot be Choose the correct choice from the following:
A) Monday B) Wednesday C) Tuesday D) Friday E) Thursday

Solution: Explanation:   We know that number of odd days in 100 years = 5   Hence last day of the first century is Friday   Number of odd days in 200 years = 5 x 2 = 10 = 3 (As we can reduce multiples of 7 from odd days which will not change anything)   Hence last day of the 2nd century is Wednesday   Number of odd days in 300 years = 5 x 3 = 15 = 1   Hence last day of the 3rd century is Monday   We know that number of odd days in 400 years = 0. (∵ 5 x 4 + 1 = 21 = 0)   Hence last day of the 4th century is Sunday   Now this cycle will be repeated. Hence last day of a century will not be Tuesday or Thursday or Saturday.   Answer: Option Tuesday
Answer: C
325 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees	Choose one:
A) 10
B) 12
C) 13
D) 16
E) 17

Solution: 26 trees have 25 gaps between them,   Required distance (325/25)= 
(325/25) = 13
13   13
Answer: C
The toll for crossing a certain bridge is $0.70 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?  Choose one
A) 14
B) 15
C) 16
D) 28
E) 29

Solution: Option #1: $0.75/crossing....Cross twice a day = $1.5/day   Option #2: $0.30/crossing....Cross twice a day = $0.6/day + $13 one time charge.   If we go down the list of possible answers, you can quickly see that 14 days will not be worth purchasing the sticker. 1.5x14 (21) is cheaper than 0.6x14 +13 (21.4)...it's pretty close so let's see if one more day will make it worth it... If we raise the number of days to 15, the sticker option looks like a better deal...1.5x15 (22.5) vs 0.6x15 + 13 (22). Answer: 16
Answer: C
he total marks obtained by a student in Physics, Chemistry and Mathematics is 140 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?  Choose one:
A) 55 B) 70 C) 75 D) 85 E) 95

Solution: Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.   P + C + M = 140 + P   C + M = 140   Average mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 140/2= 
140/2 = 70
70.   ANSWER:70
Answer: B
Mike, Jim and Bob are all professional fisherman. Mike can catch 36 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?	Choose the most appropriate option:
A) 154. B) 172. C) 186. D) 198. E) 168.

Solution: All of them catch fishes in relation to number 36....   2/3*36+2*36+2*1.5*36*2/3= 
2/3*36+2*36+2*1.5*36*2/3 = 168
168   Answer is 168.
Answer: E
4y - 4x = xy and x ≠ 0. If x and y are integers, which of the following could equal y?  Choose the correct choice from the following choices.
A) 2 B) 1 C) 0 D) 5 E) 6

Solution: Plug in the answer choices in the equation from the question stem.   A) y = 2 >>> 4-x = 4x >>> No value of x will satisfy this, not even 0. POE   B) y = 1 >>> 2 - x = 2x >>> Same, POE   C) y = 0 >>> -x = 0 >>> x can not equal 0   D) y = -1 >>>   8 - 4= 
  8 - 4 = 4
4x >>> Holds true for x= 1, no need to check E. This is the answer.   2nswer 2
Answer: A
An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 15%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay? Choose one:  A) $92.00  B) $88.00  C) $87.04  D) $80.96  E) $80.00

Solution: Without any discount Sam should pay 10*10= 
10*10 = 100
$100. Now, the overall discount would be slightly less than 23%, thus he must pay slightly more than $77.   Answer: $80.00.
Answer: E
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth? Choose the correct option.
A) 33809
B) 12000
C) 26692
D) 16689
E) 27681

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600   X = 12000   Answer: 12000
Answer: B
By selling a product with 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40.
II. The selling price is 120 percent of the cost price.  Choose the most appropriate option.
A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer	C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answe	E) Both I and II are necessary to answer

Solution: EXPLANATION   Gain = 20%   I. Profit = (S.P.) – (C.P.) = Rs. 40.   Thus, I give the answer. But, II does not give the answer.   answer is (I alone sufficient while II alone not sufficient to answer).
Answer: A
Nicky and Cristina are running a 400 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choose the correct answer:
A) 40  B) 25  C) 35  D) 30  E) 50

Solution: The distance traveled by both of them is the same at the time of overtaking.   3(t+12) = 5t   t=18.   Cristina will catch up Nicky in 18 seconds.   So in 18 seconds Cristina would cover = 18*5= 
18*5 = 90
90 meter.   Now Time taken my Nicky to cover 90 meter= 90/3= 
90/3 = 30
30 Seconds.   30
Answer: D
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 50 percent were employees. What percent were stockholders, who were not employees?
Options.
A) 52 B) 50 C) 54 D) 55 E) 56

Solution: I came up with the same answer choice B, but my approach was slightly different!   50% were employees which shall cover those who were only employees and those who were both shareholders and employees.   Thus, the number of attendants who were only shareholders is 100% - 50% = 50%.  100  - 50= 
  100  - 50 = 50
50%.
Answer: B