MU-NLPC/Calc-aqua_rat huggingface dataset:
The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 5600 for a computer table, then what was the cost price of the computer table?  Choose the correct choice from the following options
A) Rs. 4480	B) Rs. 5275	C) Rs. 6275	D) Rs. 6725	E) None of these

Solution: CP = SP * (100/(100 + profit%))   = 5600(100/125) = Rs. 4480.   Rs. 4480NSWER:Rs. 4480
Answer: A
If cement, gravel and sand are to be mixed in 7:10:13 and 10 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Select:	A) 35 7/8	B) 36	C) 34 2/7	D) 34 5/7	E) 42 6/7

Solution: Cement:Gravel:Sand = 7:10:13 --> total of   7+10+13= 
  7+10+13 = 30
30 parts.   If we use 10 tons of cement, then we'll get 10/7*30= 42 6/7 tons of mixture.   Answer: 42 6/7.
Answer: E
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?	Choose the correct choice from the following options:
A) Rs.45  B) Rs.78  C) Rs.44  D) Rs.40  E) Rs.55

Solution: Explanation:   π (152 - 132) = 176   176 * 1/4 = Rs.44   ANSWER IS Rs.44
Answer: C
When d is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when d + y is divided by 5?  Choose the correct option:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: In my view the answer should be 2   d/5 has Remainder=3 -> d = 5 x Q + 3   Y/5 has a Remainder=4 -> Y = 5 x Q + 3   2ombining both   ((5 x Q1 + 3) + (5 x Q2 + 3))/5 =   5(Q1+Q2)/5 + 7/5 =   Q1+Q2 + 7/5   7/5 = 1+ 2/5 => Remainder 2   Answer 2
Answer: C
The product of the prime integers between 23 and 30, inclusive, is:  Options:
A) 50! – 40!
B) 99,029
C) 2,303
D) 2,021
E) 667

Solution: only prime number bet ween 23 and 30 inclusive are 23 and 29   thus   23*29= 
  23*29 = 667
667   Ans: 667
Answer: E
Find the total no of divisors of 1728 (including 1 and 1728)
Choose the correct choice from the following: A) 33 B) 28 C) 99 D) 27 E) 18

Solution: Direct formula from our lesson on factors. Click Here.   The number of factors or divisors of a number N=ap.bq.cr...N=ap.bq.cr... = (p+1).(q+1).(r+1)... where a, b, c ... prime numbers.   1728 = 26×3326×33   So total number of divisors = (6 + 1).(3 + 1) = 28   Answer:28
Answer: B
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, -3)? Choose the correct choice from the following:	A) 7.5	B) 7	C) 6.5	D) 6	E) 5.5

Solution: Area of the triangle = 1/2*base*height.   Here base = Distance between (6,3) and (6,-3) => 3-(-3)= 
3-(-3) = 6
6   Height= distance between the base (6,0) and 4,0 => 2   Area = 1/2*6*2= 
1/2*6*2 = 6
6.   ANSWER:6
Answer: D
How many numbers are divisible by 4 between 1 and 100? Options.
A) 25	B) 24	C) 23	D) 22	E) 20

Solution: Numbers divisible by 4 till 100=(100/4)= 
(100/4) = 25
25   But we should not consider 100 as we are asked to find the numbers between 1 and 100 which are divisible by 4.   so answer is 24 numbers.   Answer is option 24
Answer: B
The function f is defined for each positive three-digit integer n by f(n)=2x3y5zf(n)=2x3y5z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9f(v), them m-v=?  Answers:
A) 8	B) 9	C) 18	D) 20	E) 80

Solution: Soln:-   m=xyz   v=pqr   m-v = 100(x-p) + 10(y-q) + (z-r)............................(1)   f(m)= 2^x*3^y*5^z   f(v)= 2^p*3^q*5^r   Given that,   f(m) = 9 f(v)   => 2^x*3^y*5^z = 9* 2^p*3^q*5^r   => 2^x*3^y*5^z = 3^2*2^p*3^q*5^r   => 2^x*3^y*5^z = 2^p*3^(q+2)*5^r   => 2^[x-p]*3^[y-q-2]*5^[z-r] = 1   => 2^[x-p]*3^[y-q-2]*5^[z-r] = 2^0*3^0*5^0   (x-p)=0   (z-r)=0   (y-q)=2   Substituting the above values in equation (1).   m-v = 100(x-p) + 10(y-q) + (z-r)   => 0 + 10*2 + 0= 
0 + 10*2 + 0 = 20
>20   ANSWER:20
Answer: D
How many different possible arrangements Z can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's? Choose the correct choice from the following options:	A) 360	B) 720	C) 900	D) 1800	E) 5040

Solution: Total ways for arranging without restriction = 7!/ (2!2!) { 2! is becoz of two T's and other 2! for two I's)   Restriction : atleast one character between I's = Possible ways - both I's together i.e.o character between I's   _ _ _ _ _ (I I)   Both I's Together = 6! (Assuming 2 I's as one unit) /2!(for 2 T's) * 2! (No of arrangements of 2 I's)/2! (for 2 I's)   =6!/2!   Therefore ans Z= 7!/ (2!2!) -6!/2! = 900   HEN900E 900.
Answer: C
How many ways can 3 friends be arranged around a circular dinner table? Choose the most appropriate option.
A) A)16 B) B)2 C) C)96 D) D)120 E) E)720

Solution: The number of arrangements of n distinct objects in a row is given by n!n!.   The number of arrangements of n distinct objects in a circle is given by (n−1)!(n−1)!.   The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have:   n!n=(n−1)!n!n=(n−1)!.   So, the answer is (3 - 1)= 
(3 - 1) = 2
2!= 2.   Answer: 2.
Answer: B
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.35 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.40 In what ratio should he mix the water and milk?	Pick:
A) 1:20
B) 1:10
C) 1:8
D) 1:4
E) 6:11

Solution: water = w (liter)   Milk = m (liter)   ==> Cost = Price x Quantity = 0.35m   ==> Revenue = Price x Quantity = 0.40(m + w)   ==> Profit =0.40(m+w) - 0.35m = 0.2*(0.35m)[20% of cost]   ==> 0.40m + 0.40w - 0.35m = 0.07m   ==> 0.02m = 0.40w   ==> m/w = 0.40/0.02= 
0.40/0.02 = 20
20   --OR--   w/m= 1/20   1:20 is correct.
Answer: A
If x and y are positive integers, and x^3*y^4 = 16,000 which of the following is the value of xy?  Choices.
A) 10
B) 12
C) 15
D) 16
E) 20

Solution: 16,000 = 10^3*2^4   xy = 10*2= 
10*2 = 20
20   The answer is 20.
Answer: E
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?	Pick: A) 150,287 B) 150,219 C) 150,200 D) 150,298 E) 150,217

Solution: The incomes of A and B be 3P and 4P.   Expenditures = Income - Savings   (3P - 100) and (4P - 100)   The ratio of their expenditure = 1:2   (3P - 100):(4P - 100) = 1:2   2P = 100 => P = 50   Their incomes = 150, 200   Answer:150,200
Answer: C
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choose the correct option
A) 1:8
B) 1:6
C) 1:9
D) 1:3
E) 1:4

Solution: r1: r2 = 1: 3   Πr12: Πr22   r12: r22 = 1:9   Answer: 1:9
Answer: C
The greatest possible length which can be used to measure exactly the length 8m ,2m 15cm, 8m 90 cm is? Choose the correct choice
A) 25cm B) 101cm C) 56cm D) 42cm E) 5cm

Solution: Required length = H.C.F of 800cm, 215cm, 890cm = 5cm   Answer is 5cm
Answer: E
The probability that B can shoot a target two out of two times is 0.45. What is the probability that the target will be missed by B immediately after such two shots?  Answers: A) 0.25 B) 0.5 C) 0.55 D) 0.4 E) 0.8

Solution: Suppose there are total 'x' shots.   B shoots 2 out of 2 times. means out of x shots (x>2) B shots 2 out of 2 ----> B shots at least 2 out of x.   therefore, 2/x = 0.25 (given)   the target will be missed by B immediately after such two shots : this means he can shot just twice ...the third shot cannot happen which means he missed (x-2) shots.   thus, the probabilty of missing just after 2 shots is (x-2)/x.   (x-2)/x = 1 - 2/x   = 1 - 0.45= 
1 - 0.45 = 0.55
0.55   Answer : 0.55
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 3 days, then the fraction of the work that is left is	Choose the correct choice.
A) 8/17	B) 7/15	C) 3/15	D) 8/15	E) 13/20

Solution: Person ( A ) ( B ) ( A+B )   Time - ( 15 ) ( 20 ) (-)   Rate - ( 20 ) ( 15 ) ( 35 )   Work -(300) (300) (300)   therefore A+B requires (300/35) days to complete entire work   For 1st 4 days they work  35 * 3= 
 35 * 3 = 105
105   Remaining work is 300 - 105= 
300 - 105 = 195
195   Remaining fraction of work is= 195/300 = 13/20   Answer 13/20
Answer: E
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/4 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choose the correct choice from the following answers.
A) x + 2000 = 1/3*(x - 3000)	B) 1/3*(x - 3000) = x	C) x + 3000 = 1/3*x	D) x - 7000 = 1/3*x	E) x - 3000 = 1/4*x

Solution: Plane's original altitude = x   Plane's new altitude after ascending 2000 ft = x+2000   Plane's new altitude after descending 5000 ft from previous altitude = x+2000-5000 = x-3000   So, after two changes plane is at 1/4 its original altitude => x-3000 = x/4   Answer (x - 3000 = 1/4*x)
Answer: E
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers  Choose the correct choice:
A) 9
B) 10
C) 16
D) 17
E) 20

Solution: The only possible sum for 4 different squares of an integer with total sum number is 95 are :   49 + 36 + 9 + 1= 
49 + 36 + 9 + 1 = 95
95 which are the square from numbers : 7, 6, 3, 1 (total sum number is 17)   or     81 + 9 + 4 + 1= 
  81 + 9 + 4 + 1 = 95
95 which are the square from numbers : 9, 3, 2, 1 (total sum number is 15)   hence the answer is (17)
Answer: D
If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new number is :
Select:
A) 30 B) 40 C) 70 D) 90 E) 80

Solution: Solution   A.M of 75 numbers = 35.   sum of 75 numbers = (75 × 35) = 2625.   total increase = (75 × 5) = 375 .   increased sum = (2625 + 375)= 
(2625 + 375) = 3_000
3000.   increased average= 3000/75= 
3000/75 = 40
40 Answer 40
Answer: B
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?	Choose the correct choice from the following answers:
A) 270 B) 227 C) 268 D) 198 E) 176

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer:270
Answer: A
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Q needed to confirm that each of the 5 keys matches each of the 5 locks?  Choose the correct choice from the following choices.
A) 5,15 B) 4,15 C) 5,10 D) 4,10 E) 5,20

Solution: Assume you have locks 1-5 and keys A-E.   Minimum: assume you are lucky to find the correct key/combo on the first try. So, 1 -> A, 2 -> B, 3 ->C, and 4 -> D, then 5 must match with E. Therefore, you only need to try 4 combos at a minimum.   Maximum: assume that it takes as many guesses as possible. So, with the first key you try A, B, C, and D with no success, therefore E must be the match (so 4 attempts). For key 2 you no longer have E available so you try A, B, and C, with no success, therefore D must be the match (3 attempts). And so on for key 3 (2 attempts) and key 4 (1 attempt). Key 5 matches with the remaining lock for a total of Q=4 + 3 + 2 + 1= 
4 + 3 + 2 + 1 = 10
10 attempts.4,10
Answer: D
In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class  Choose the correct choice from the following:	A) 35	B) 36	C) 37	D) 38	E) 39

Solution: Multiple of 6 and 7 with difference 1 are 36 and 35   So the number of students in the class is 37   ANSWER:37
Answer: C
In one hour a boat goes 18 km long the stream and 14 km against the stream.The speed of the boat in still water is?	Pick.
A) 17
B) 18
C) 16
D) 15
E) 11

Solution: Speed in still water A = ½ ( 18+14) km/hr A= 16 kmph   Answer: 16
Answer: C
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?  Choose the correct option:
A) 33.5
B) 33.4
C) 33.3
D) 33.1
E) 33.7

Solution: Let B = 100   A = 50   33.3 * (150/100) = 50   333.3 = 100   33.3 = 33.3 then '33.3' 33.3heapest   Answer: 33.3
Answer: C
If a·b·c·d=270, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a? Options
A) 7 B) 10 C) 11 D) 13 E) 15

Solution: prime factorize : 270 = 2*3*5*9   Hence a = 2 and d = 9 .   Hence answer is  9 - 2= 
 9 - 2 = 7
7   7nswer 7
Answer: A
Seven unbiased coin are tossed. What is the probability of getting almost
one head?
Choose the correct choice from the following choices.
A) 1/2  B) 1/4  C) 127/128  D) 127/5  E) 127/6

Solution: Here n(S)= 2^7   Let E=event of getting atmost one head =   n(E)= 127   P(E)=n(E)/n(S)=127/128   Answer option 127/128)
Answer: C
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Answers:	A) 11 1/7	B) 11 1/4	C) 11 8/4	D) 11 9/4	E) 11 3/4

Solution: 3/12 + x/15 = 1   x= 11 1/4   Answer:11 1/4
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?  Choose the correct choice from the following answers:	A) 444 km	B) 400 km	C) 450 km	D) 500 km	E) 550 km

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   D = 37 * 12= 
37 * 12 = 444
444   444 kmNSWER 444 km
Answer: A
If q and r are even integers, which of the following is an odd integer?	Choose the correct choice:
A) qr + 2	B) q(r − 1)	C) q(q + 5)	D) 3q + 4r	E) (q + 3)(r − 1)

Solution: If q and r are even integers, then:   A. qr + 2: even + even = even   B. q(r − 1): even(odd) = even   C. q(q + 5): even(odd) = even   D. 3q + 4r: even + even = even   E. (q + 3)(r − 1): (odd)(odd) = odd.   Answer is (q + 3)(r − 1).
Answer: E
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Choose the correct choice from the following:  A) 2  B) 4  C) 5  D) 67  E) 9

Solution: 1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days   Answer: 4
Answer: B
A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? Choose the correct choice from the following choices: A) 2 hr B) 2 hr 30 min C) 2 hr 50 min D) 2 hr 20 min E) 1 hr 30 min

Solution: A tap can fill a tank in 4 hours   The tap can fill half the tank in 2 hours   Remaining part = 1/2   After half the tank is filled, three more similar taps are opened.   Hence, total number of taps becomes 4.   Part filled by one tap in 1 hour = 1/4   Part filled by four taps in 1 hour = 4×1/4=1   i.e., 4 taps can fill remaining half in 30 minutes   Total time taken = 2 hour + 30 minute = 2 hour 30 minutes   Answer is 2 hr 30 min
Answer: B
Jony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:40. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Jony's speed in meters per minute? Choose the correct choice from the following answers:
A) 88
B) 100
C) 198
D) 216
E) 252

Solution: Total distance from 10 to 90 =80 + from 90 to 70 =20   So the dist is 100×40(per block dist)   Speed = 4000mts/40min =100m/min   100 is the answer
Answer: B
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 19,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?  Choose the correct choice
A) 1 million
B) 1.25 million
C) 10 million
D) 12.6 million
E) 125 million

Solution: If you type that into the calculator, it results in 12.7 mil   [D], 12.6 mil, is the correct answer... see 2 posts above for quick approx method
Answer: D
A train covers a certain distance at a speed of 300kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of	Choose the correct option.
A) 600km/hr  B) 700km/hr  C) 800km/hr  D) 900km/hr  E) 1000km/hr

Solution: Explanation:   Distance = 300×4 = 1200km   Required speed = (1200/2)= 
(1200/2) = 600
600km/hr   600km/hrnswer: Option 600km/hr
Answer: A
The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?	Choose the correct choice from the following answers:
A) A)9  B) B)10  C) C)12  D) D)7  E) E)13

Solution: The total of twelve numbers = 12X7 = 84   The total of first 9 and last 2 numbers is = 9 X 6+2 X 10 = 74   So, the middle number is  (84 - 74 )= 
 (84 - 74 ) = 10
10   10
Answer: B
If 37 /2% of a number is 900,then 62 1/2% of the number is ?	Choose the correct choice from the following options:
A) 1200 B) 1350 C) 1500 D) 540 E) None

Solution: Answer   Let 371/2% of A = 900   ⇒ {(75/2) x A} x 100 = 900   ∴ A = (900 x 2 x 100) / 75 = 2400   So, 621/2% of A = (125/2) x (1/100) x 2400 =1500   1500orrect Option: 1500
Answer: C
P is the brother of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ?
Choose the correct choice from the following options:
A) Q is K's son
B) Q is L's son
C) Q is S's son
D) Q is T's son
E) I is T's son

Solution: Explanation:   P, Q, R are children of same parents. So. S who is R's mother and T, who is R's father will be mother and father of all three.   However, it is not mentioned whether Q is male or female So, D cannot be definitely true.   Answer: Q is T's son) Q is T's son
Answer: D
If Bella's income is Rs 27000, calculate her savings given that her income and expenditure are in the ratio 6:5.? Select.
A) Rs.4300	B) Rs.4500	C) Rs.7500	D) Rs.2500	E) Rs.5500

Solution: Let the income and the expenditure of the person be Rs.6x and Rs.5x respectively.   Income, 6x = 27000 => x = 4500   Savings = Income - expenditure = 6x - 5x = x   So, savings = Rs.4500   Answer: Rs.4500
Answer: B
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 6 shirts each of them then average number of shirt each of them now has  Choose the correct answer:
A) 66
B) 63
C) 62
D) 64
E) 61

Solution: Required average   = Old average + New average   = 60 + 6= 
60 + 6 = 66
66   answer :66
Answer: A
How many four-digit odd numbers do not use any digit more than once? Options.
A) 1728  B) 2160  C) 2240  D) 2268  E) 2520

Solution: Let a 4-digit number be represented by ABCD   Here A can have any value between 1 to 9 - so total 9   B can have any value between 0 to 9, but not A - so total 9   C can have any value between 0 to 9, but not A or B - so total 8   D can have any value between 0 to 9, but not A, B or C - so total 7   No. of ALL possible 4-digit nos (without repeating any digit) = 9*9*8*7= 
9*9*8*7 = 4_536
4536   Half of these would be odd.   Therefor, no. of O22682268 possible 4-digit nos (without repeating any digit)= 4536 / 2= 
4536 / 2 = 2_268
2268   Answer should be 2268.
Answer: D
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area covered by the two roads?	Choose the correct choice from the following answers:
A) 400	B) 1550	C) 1575	D) 1600	E) 1625

Solution: Area 1575overed by Road Along the Length = 5*200= 
5*200 = 1_000
1000 Square Meter   Area 1575overed by Road Along the Width= 5*120= 
5*120 = 600
600 Square Meter   1575ommon Area in both Roads (where the roads intersect)= Square with Side 5 meter = 5*5= 
5*5 = 25
25   Total Area of the Roads= 1000+600-25= 
1000+600-25 = 1_575
1575   Answer: option 1575
Answer: C
Patrick has a locker with a 3 number combination. The lock contains numbers from 1 thru 30. No number may be used more than once. Patrick is superstitious and never uses numbers that end with an odd number. He also only uses 2 digit numbers. How many possible 3 digit combinations could he use?  Choose the correct answer.
A) 110
B) 440
C) 550
D) 880
E) 990

Solution: Permutation calc is: n P r = n! / (n-r)! 11 P 3 = 11!/(11-3)! = 11x10x9x(8x7x6x5x4x3x2x1)/8!=11x10x9=990 Correct answer is 990 (990)
Answer: E
In a certain group of 9 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ? Choose the correct choice
A) 40 B) 50 C) 74 D) 80 E) 100

Solution: 74ase 1   1french 2either German or Spanish: 4741 * 5742 = 40   74ase 2   2french 1either German or Spanish: 4742 * 5741 = 30   74ase 3   3french 4743 = 4   Answer is 74 = 74
Answer: C
2+9=20
3+4=19
4+3=25
5+2=34
6+1=??
Solve it?	Choose one.
A) 37 B) 26 C) 43 D) 42 E) 19

Solution: x+y=x[y+(x-1)]=x^2+xy-x   2+9=2[9+(2-1)]=4+18-2= 
4+18-2 = 20
20   3+4=3[4+(3-1)]=9+12-2= 
9+12-2 = 19
19   4+3=4[3+(4-1)]=16+12-3= 
16+12-3 = 25
25   5+2=5[2+(5-1)]=25+10-4=34   6+1=6[1+(6-1)]=36+6-5= 
36+6-5 = 37
37   37nswer :37
Answer: A
Of the 80 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?	Select.
A) 15 B) 17 C) 20 D) 25 E) 30

Solution: I solved it by assuming 100 people and then dividing my answer in two to save time on calculations. (percentage equals number of people) In that case   40 will be in team A   60 will be in team B   The larger diff is   70 want team A so diff is 80-40= 
80-40 = 40
40. At least 30 people will NOT get their wish, so for 50 researchers the same number is 20.   Answer choice 20
Answer: C
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Answers
A) 2.89 km	B) 2.88 km	C) 3.99 km	D) 3.78 km	E) 3.98 km

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer:2.88 km
Answer: B
80% of a number is added to 20, the result is the same number. Find the number?
Choose the correct choice from the following.
A) 300  B) 288  C) 270  D) 100  E) 281

Solution: (80/100) * X + 20 = X   4x+ 100 = 5 x   x=100   Answer :: 100
Answer: D
Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many D women are currently in the room?
Pick.
A) 12	B) 14	C) 15	D) 24	E) 36

Solution: the number of women doubled means that they have become 24 from 12..   and we have to tell the current strength so 24 is the answer..   let the number be 4x and 5x..   given 4x+2=14.. so x=3..   women number=5*3-3= 
5*3-3 = 12
12, then doubled=24..   ans 24
Answer: D
If a and b are digits, and the number a99,99b/88 = an integer, what are the values of a and b?
Options.
A) a = b = 7 B) a = b = 6 C) a = b = 3 D) a = b = 1 E) a = b = 2

Solution: a99,99b, divisible by 88.   Factors of 88 = (8)(11)   Divisible by 8: if the last 3 digits of the number are divisible by 8.   99b/8 => 992/8= 
992/8 = 124
124=> b = 2   Divisibe by 11: subtract the last digit from the number, over and over again, as necessary. If the remaining number is divisible by 11, the original number is divisible by 11.   a9999-2 => a999-7 => a99-2 => a9-7= 
9-7 = 2
> a2=> 22/11= 
22/11 = 2
2.   So a= 2.   Answer: a = b = 2
Answer: E