MU-NLPC/Calc-aqua_rat huggingface dataset:
Rerty traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different. Select:
A) z=3x  B) x=3z  C) y=2x  D) x=2y  E) y=3x

Solution: Rerty Travelled for x,y and for z min.   Total Time : x + y + z   Which is equal to : 3y   Equating both sides we get   x+y+z = 3y   => x+z =2y ........ Eqn 1   Looking out at options   D Says x =2y   Using it in Eqn 1   2y + z = 2y   => Z = 0 mins, Which I guess is not possible.   The Ans isx=2y
Answer: D
Morgan Goldman has 5 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for? Choose the correct choice:
A) 16
B) 36
C) 110
D) 154
E) 210

Solution: P(at least 1 S D) = P(Total) - P(0 Senior Director)   =101103 - 51103   = 110
Answer: C
A man invested Rs. 50000 at the rate of 5% p.a. for the first three years, 8% p.a.for the next five years and 10% p.a.for the period beyond eight years. At the end of eleven years, he want to distribute total money among his four sons, How much money will each son get?	Choose the correct option:
A) 30000
B) 25375
C) 28680
D) 32000
E) 23125

Solution: Let the interest be i. Then,   (50000×3×5/100)+(50000×5×8/100)+(50000×3×10/100)=i   ⇒ 7500+20000+15000= i   ⇒ i = 42500   Total money = 42500+50000= 
42500+50000 = 92_500
92500   23125ach son will get= 92500/4= 
92500/4 = 23_125
23125   Answer :23125
Answer: E
A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Choose the correct choice from the following: A) 6.24 km B) 6 km C) 9.86 km D) 5.66 km E) 10 km

Solution: M = 10   S = 1.2   DS = 11.2   US = 8.8   x/11.2 + x/8.8 = 1   x = 4.93   D = 4.93 * 2= 
4.93 * 2 = 9.86
9.86   ANSWER:9.86 km
Answer: C
What is his percentage profit made by Nick if he purchased 10 dozen pens at Rs. 25 per dozen. He sold 3 dozens at 8% profit and the remaining 7 dozens with 14% profit? Select the correct option:
A) 15.2%
B) 17.2%
C) 12.2%
D) 11.2%
E) 13.2%

Solution: Explanation :   C.P of 10 dozens = Rs.(25 x 10) = Rs.250   C.P of 3 dozens = Rs. (25 x3) = Rs. 75.   C.P of 7 dozens =Rs. (25 x7) = Rs. 175   profit on 3 dozen at 8% = 8/100*75= 
8/100*75 = 6
6   profit on 7 remaining dozen at 14%= 14/100*175= 
14/100*175 = 49/2 = around 24.5
24.5   total profit= 6 + 24.5= 
6 + 24.5 = 30.5
30.5   % profit= ?/100*250 = 30.5   = 12.2%   Answer : 12.2%
Answer: C
Find the number of zeroes in 58! (58 factorial)
Select.
A) 12  B) 13  C) 14  D) 15  E) 16

Solution: no of zeroes is   58/5=11   11/5=2   11+2= 
11+2 = 13
13   ANSWER:13
Answer: B
The contents of a certain box consist of 24 lemons and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be lemons?	Choose the correct choice from the following choices:
A) 24
B) 26
C) 30
D) 46
E) 50

Solution: lemons = ( lemons + kiwi + x)*0.3   24 = (30 + 24 + x)*0.3   x = 26.   Answer: 26.
Answer: B
Cost of an item is Rs 12.60 & profit is 10% over selling price what is the selling price  Choose the correct choice from the following answers: A) 12.86 B) 13.86 C) 14.86 D) 15.86 E) 16.86

Solution: Profit=( SP-CP/CP )*100   CP=12.60   (SP-12.60)/12.60*100 =10   SP=13.86   ANSWER:13.86
Answer: B
In what ratio should a variety of rice costing Rs. 7 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?  Answers.
A) 5/6  B) 5/2  C) 5/1  D) 5/3  E) 7/6

Solution: Let us say the ratio of the quantities of cheaper and dearer varieties   = x : y   5/2y the rule of allegation, x/y   = (8.75 - 7.50) / (7.50 - 7) =5/2   Answer: 5/2
Answer: B
Can you complete below number series by replacing "?" with the correct number.
10 # 10 # 20 # ? # 110 # 300 # 930  Select the correct option
A) 35 B) 25 C) 45 D) 55 E) 75

Solution: Pattern goes like   10   10 * 0.5 + 5= 
10 * 0.5 + 5 = 10
> 10   10 * 1.0   + 10=> 20   20 * 1.5 + 15= 
20 * 1.5 + 15 = 45
> 45(Ans)   45 * 2.0 + 20= 
45 * 2.0 + 20 = 110
> 110   110 * 2.5 + 25= 
110 * 2.5 + 25 = 300
> 300   300 * 3.0 + 30= 
300 * 3.0 + 30 = 930
> 930   45orrect answer is 45)45
Answer: C
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is A? Choose the correct answer.
A) 50+A/200  B) 50+3A/100  C) 50+A/40  D) 100+A/50  E) 100+3A/100

Solution: the simplified formula for computing the income tax, in 50+A/40ountry R's currency, for a person in that country   annual income is A:50+A/40   ANSWER:50+A/40
Answer: C
v, q, and r are positive integers. If v, q, and r are assembled into the six-digit number vqrvqr, which one of the following must be a factor of vqrvqr?	Choose the correct choice from the following choices
A) 23	B) 19	C) 17	D) 7	E) none of the above

Solution: One short way -   vqrvqr = 1000vqr + vqr = (1000+1)= 
(1000+1) = 1_001
1001vqr   Therefore any factor of 1001 is a factor of vqrvqr   7 is a factor of 1001   So 7
Answer: D
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choose the correct answer.
A) 2387  B) 2978  C) 3972  D) 2671  E) 1871

Solution: Explanation:   Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.   R = (100 * 60)/(100 * 6)= 
(100 * 60)/(100 * 6) = 10
10% p.a.   Now, P= Rs. 12000, T = 3 years and R = 10% p.a.   C.I. = [12000 * {(1 + 10/100)3 - 1}]   = 12000 * 331/1000 = Rs. 3972   Answer: 3972
Answer: C
The number 86 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?	Choose the correct choice from the following
A) 17	B) 16	C) 15	D) 14	E) 13

Solution: 7^2+6^2+1^2=49+36+1= 
49+36+1 = 86
86   7+6+1= 
7+6+1 = 14
14   Hence answer is 14
Answer: D
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choose the correct choice:
A) 5729 B) 5760 C) 2889 D) 2870 E) 2799

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4= 
 24 * 60 * 4 = 5_760
5760.Answer: 5760
Answer: B
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?  Pick:
A) n + 3  B) n/2 + 3.5  C) n – 3  D) 3n + 1  E) 5n + 2

Solution: Given number = N =8p+5 ---> the number N is odd.   Thus ,   A. n + 3   n+3 = odd + odd = even. Thus not correct.   B. n/2 + 3.5   As n is odd, thus n/2 = abc.5 (where c = even) ---> abc.5+3.5 = abc+3+0.5+0.5 = even+odd+1= odd+1=even. Thus not correct.   C. n – 3   n-3 = odd - odd = even. Thus not correct.   D. 3n + 1   As n =odd, 3n=odd and 3n+1 = odd + odd = even. Thus not correct.   E. 5n + 2   As n =odd, 5n= odd --->5n+2 = odd + even = odd. Thus correct. ANSW5n + 2R:5n + 2
Answer: E
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work?	Choose the correct choice from the following options
A) 50 days
B) 75 days
C) 120 days
D) 150 days
E) 80 days

Solution: P works 25% more efficiently than Q: Something that takes Q 5 days, takes P 4 days   Q works 50% more efficiently than R: Something that takes R 7.5 days, takes Q 5 days   P alone takes 50 days less than Q: For every 4 days P works, Q has to work an extra day. Hence P alone can do it in 200 days and Q alone in 250 days and hence R alone in 400 days   P works for 60 days--> 60/200 work done => 30%   Q works for 150 days--> 150/250 work done => 60%   30% work left ... R alone will take 30% * 400 = 120 days   Answer is (120 days)
Answer: C
The sum of first eight prime numbers is?	Pick one:
A) 12  B) 23  C) 24  D) 77  E) 30

Solution: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19)= 
(2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) = 77
77.   Note: 1 is not a prime number.   Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.   77
Answer: D
It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
Options
A) 10
B) 12
C) 13
D) 14
E) 15

Solution: let his speed for one half of the journey be 2 miles an hour   let the other half be x miles an hour   now,   avg speed =5 mile an hour   2*2*x/2+x=5   4x=5x+10=>x=10   10
Answer: A
Find the odd man out. 12, 24, 36, 48, 61, 72, 84  Choose the correct choice from the following options:	A) 15	B) 25	C) 61	D) 90	E) 115

Solution: Explanation :   All except 61 are multiples of 7   Answer : Option 61
Answer: C
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1540 are infected, how manyworkersinhabit the colony?  Choose the correct choice.
A) 1500  B) 2500  C) 2750  D) 3000  E) 3500

Solution: From two question we get wo equations:   (1) 0,3s + 0,14w = 1540   (2) s + w = 7000   From (2) we get w=7000-s   In (1) 0,3s + 980-0,14s= 1540   0,16s=560   56000:16= 3500 =s   In (2) 3500 + w = 7000   w= 3500 3500
Answer: E
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choose the correct choice from the following answers: A) 50400 B) 5040 C) 5004 D) 7007 E) 7004

Solution: In the word 'CORPORATION', we treat the vowels OOAIO as one letter.   Thus, we have CRPRTN (OOAIO).   This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different.   Number of ways arranging these letters =	7!/2!	= 2520.   Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged   in	5!/3!	= 20 ways.   Required number of ways = (2520 x 20) = 50400.   50400NSWER 50400
Answer: A
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum mark is
Choose the correct option.
A) 600
B) 500
C) 400
D) 300
E) 800

Solution: The student got 125 marks and still failed by 40 marks   = 125+40= 
125+40 = 165
165   therefore 33% of the total marks= 165   100% of the total = 165*100/33=55   max mark = 500   ANSWER 500
Answer: B
Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 30 phone numbers by using the readable digits followed by 30 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly? Choose the most appropriate option:
A) 1/9 B) 10/243 C) 1/27 D) 10/271 E) 1/1000000

Solution: If the last three digits have 1 zero (XX0), the total # of numbers possible is 9*9*3 (multiply by 3 since XX0 can be arranged in 3 ways: XX0, X0X, or 0XX).   If the last three digits have 2 zeros (X00), the total # of numbers possible is 9*3 (multiply by 3 since X00 can be arranged in 3 ways: X00, 00X, or X0X).   P = 30/(9*9*3+9*3) = 1/9.   1/9nswer:1/9.
Answer: A
trees of heights 30 and 40 sepatated by a river. fish in the river is at equal dis from top of the trees where two birds are there.ratio of the distances from fish to the root of the trees?	Choose the most appropriate option
A) 4:3 B) 1:2 C) 2:1 D) 3:4 E) 1:3

Solution: 40/30 is the ratio of distance from fish to root of trees   4:3   4:3NSWER:4:3
Answer: A
Jim Pete’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Meivazhi Salai, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years?
Choose the most appropriate option.
A) $22,474 B) $25,673 C) $27,318 D) $28,459 E) $31,227

Solution: Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 9$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option B, $28,459 and E and u will find that only option $28,459 is divisible by 9 (once 10,000 is subtracted from 28459) so its the right choice..$28,459
Answer: D
If T divided by B equals 9.16 what is a possible remainder?	Choose the correct choice from the following answers
A) 8  B) 9  C) 2  D) 6  E) 5

Solution: With the decimal being 16/100, the simplest form is 4/25. If the divisor is a multiple of 25, the remainder must be a multiple of 4. The only number that is so is 8. 8nswer 8.
Answer: A
A train 200 meters 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 is going? Choose the correct choice from the following answers.
A) 11
B) 10
C) 5
D) 9
E) 8

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 = [200 * 3/55] sec = 11 sec   11NSWER:11
Answer: A
If |4x+10| = 46, what is the sum of all the possible values of x?  Options:  A) 2  B) -2  C) 4  D) -5  E) 6

Solution: There will be two cases   4x+10= 46 or 4x+10 = -46   => x =9 or x= -14   sum of both the values will be -14 +9 = -5   Answer is -5
Answer: D
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the seventh digit of p, counting right to left from the units digit?	Choose one.
A) 1 B) 2 C) 3 D) 6 E) 9

Solution: C   Sum of unit digits of first 30 terms = 60   Sum of tens digits of first 30 terms = 58   Sum of thousands digits of first 30 terms = 56   and so on..   p1 = 0   p2 = (6+58) = 4   p3 = (6+56) = 2   p4 = (6+54) = 0   p5 = (6+52) = 8   p6 = (5+50) = 5   p7 = (5+48) = 3   ANSWER: 3
Answer: C
A and B invests Rs.3000 and Rs.5500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the correct choice from the following answers:
A) 8:8 B) 9:8 C) 9:7 D) 9:5 E) 9:11

Solution: (3*6 + 6*6): (5.5*12)   54:66 => 9:11   Answer: 9:11
Answer: E
The ratio between the present ages of A and B is 6:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?  Choose the most appropriate option.
A) 5:4
B) 3:0
C) 5:1
D) 3:2
E) 3:7

Solution: Let the present ages of A and B be 6x and 3x years respectively.   Then, (6x - 4)/(3x + 4) = 1/1   3x = 8 => x = 2.67   Required ratio = (5x + 4):(3x - 4) = 20:4 =5:1.Answer: 5:1
Answer: C
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 33.3 kg of zinc has been consumed in it?  Choose the correct answer:
A) 58 kg B) 60 kg C) 64 kg D) 70 kg E) 74

Solution: Sol.   For 9 kg Zinc, mixture melted = (9+11) kg.   For 33.3 kg Zinc, mixture, melted = [20/9 x 33.3] kg   = 74 kg.   Answer 74
Answer: E
Of the seven-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?	Choose the correct choice from the following.
A) 24 B) 36 C) 72 D) 152409600 E) 216

Solution: Of the seven-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?   A. 24   B. 36   C. 72   D. 144   E. 216   Choosing the digit for p - 9 ways;   Choosing the digit for q - 8 ways;   Choosing the digit for r - 7ways;   Choosing the digit for s - 6ways;   Choosing the digit for t - 5ways;   Choosing the digit for u- 4ways;   # of permutations of 3 digits in ppqrstu - 7!/2!   Total: 9*8*7*6*5*4*7!/2!=152409600.   Answer: 152409600.
Answer: D
How many odd factors does 210 have?  Pick:
A) 3 B) 4 C) 5 D) 6 E) 8

Solution: Start with the prime factorization: 210 = 2*3*5*7   For odd factors, we put aside the factor of two, and look at the other prime factors.   set of exponents = {1, 1, 1}   plus 1 to each = {2, 2, 2}   product = 2*2*2= 
2*2*2 = 8
8   Therefore, there are 8 odd factors of 210. In case you are curious, they are {1, 3, 5, 7, 15, 21, 35, and 105}   Answer: 8.
Answer: E
3 cooks have to make 80 burgers.They are known to make 20 pieces every minute working together.The 1st cook began workin alone and made 20 pieces having worked for sometime more than 3 mins.The remaining part of the work was done by second and 3rd cook working together.It took a total of 8 minutes to complete the 80 burgers.How many minutes would it take the 1st cook alone to cook 160 burgers?	Select.
A) 16 minutes
B) 24 mins
C) 32 mins
D) 40 mins
E) 30 mins

Solution: Denote by A, B, C the rates of the three cooks in units of burgers/minute.   A + B + C = 20.   Let t be the time in minutes it took the first cook A to make the 20 burgers. So, A*t = 20, and we know that t > 3.   We need to find 8t, as 160 burgers will be made by A in 8 times more than making 20 burgers.   We already know that 8t >  8*3= 
 8*3 = 24
24, so we can eliminate answers (A) and (B).   In addition, (B + C)(8 - t)= 60, or (20 - A)(8 - t) = 60.   Since 20 - A < 20 and 8 - t < 5, looking for integer solutions, we find the only acceptable solution 20 - A = 15 and 8 - t = 4, so t = 4.   I am assuming integer numbers for the solutions based on the answer choices.   Anyway, testing the answer choices, only (C) is a solution.   Therefore, A will make 160 burgers in 8*4= 
8*4 = 32
32 minutes.   Answer 32 mins
Answer: C
There are 20 students in a class. In how many different ways can a committee of 3 students be formed?	Pick: A) 650 B) 730 C) 980 D) 1140 E) 1480

Solution: 20C3 = 20*19*18 / 6= 
20*19*18 / 6 = 1_140
1140   The answer is 1140.
Answer: D
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 72. What is the difference between the two digits of that number?
Choose the correct option:
A) 4 B) 5 C) 6 D) 8 E) 9

Solution: Sol.   Let the ten’s digit be x and unit’s digit be y,   Then, (10x + y) - (10y + x) = 72 ⇔ 9 (x - y) = 72   ⇔ x - y = 8   Answer 8
Answer: D
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 12 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?	Choose the correct answer.
A) 30	B) 45	C) 60	D) 64	E) 120

Solution: I believe there is a better way to do it.   Basically one of the options should satisfy the given criteria.   60 did    1/5 *60= 
 1/5 *60 = 12
12   2/3*60= 
2/3*60 = 40
40   so total distance   52 + remaining 12=64   Answer 64
Answer: D
Mangala completes a piece of work in 12 days, Raju completes the same work in 36 days. If both of them work together, then the number of days required to complete the work is Choose one.
A) 6 days  B) 7 days  C) 8 days  D) 9 days  E) 11 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 = 12 Ã— 36/48 = 9 days.   9 days
Answer: D
Two sets of 6 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?  Choose one:
A) 14 B) 42 C) 28 D) 12 E) it cannot be determined from the information given.

Solution: A=(1,2,3,4,5,6), sum of this=21   42=(6,7,8,9,10,11,12), sum of this=63,   The differenct between   63-21= 
  63-21 = 42
42   Hence,42 is the answer i.e.42
Answer: B
From a pack of 52 cards, if 2 cards are selected one after the other without replacement, then what is the probability that the 1st card is a queen and the 2nd card is a heart. Select:
A) 1/52
B) 5/52
C) 3/4
D) 5/7
E) 5/8

Solution: Explanation :   Let the selected card be queen of heart so,we can select it in one way 1/52   Now the second card be a heart as there is no replacement no of ways 12/51   i.e 1/52*12/51t;(independent event);   Now let the card selected is not a queen of heart so we can select it in 3/52 ways   The probability of second card i.e heart is 13/51   i.e 3/52*13/51;(independent event)   Now both the independent events are combined   i.e (1/52*12/51) + ( 3/52*13/51)   = (12+39)/(52*51)   =1/52   Hence (A) is correct answer.   1/52nswer : 1/52
Answer: A
If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days? Choose the correct choice from the following answers:
A) 269
B) 512
C) 369
D) 720
E) 450

Solution: 12 men 120 acres 16 days   36 men ? 32 days   120 * 36/12 * 32/16   120 * 3 * 2   120 * 6= 
120 * 6 = 720
720   Answer:720
Answer: D
Limited resolution of early microscopes was one of the reasons of _________ understanding of cells.  Pick:
A) discredited B) increased C) contradicted D) restricted E) WEQ3

Solution: Explanation:   it should be restricted because of limited resolution   Answer:restricted
Answer: D
A company spends an average of $500 for its 20 employees's salaries and an average of $100 for its 5 drivers' salaries. What is the average expenditure of the company?
Choose the correct choice from the following:
A) $360
B) $290
C) $420
D) $600
E) $240

Solution: Number of employees is 20   Their average salary is $500   Number of drivers is 5   Their average salary is $100   Total salary of the employees is 20*500=$10,000   Total salary of the drivers is  5*100= 
 5*100 = 500
$500   Total expenditure for company is 10,000+500=$10,500   Average expenditure is 10,500/20+5=$420   Answer is $420
Answer: C
-69*39+450=?
Select the correct option
A) 2736  B) 2309  C) -2801  D) -2241  E) None of these

Solution: => -69*(40-1)+450;   => -(69*40)+69+450;   => -2760+519=-2241.   Correct Option: -2241
Answer: D
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
Pick:  A) 4  B) 3  C) 5  D) 7  E) 9

Solution: D = 25 * 60 + 2500= 
25 * 60 + 2500 = 4_000
4000 m   T= 4000/60 * 18/5= 
4000/60 * 18/5 = 240
240 sec= 4 mins   4nswer: 4
Answer: A
Everyone shakes hands with everyone else in a room. Total number of handshakes is 55. Number of persons=?
Choose the correct option
A) 14
B) 12
C) 11
D) 15
E) 16

Solution: In a room of n people, the number of possible handshakes is 11(n,2) or n(n-1)/2   So n(n-1)/2 = 55 OR n(n-1)=110 OR n=11   Answer is (11)
Answer: C
Jasmine had this problem on her math test: y= (15x+75)-(8x+15). She came up with the answer y= 25x-36. Jasmine has gotten the wrong answer. Can you help Jasmine correctly solve the math problem for y if x=8?	Choose one:
A) y=256
B) y=96
C) y=116
D) y=10
E) y=150

Solution: y=116
Answer: C