MU-NLPC/Calc-aqua_rat huggingface dataset:
If the operation @ is defined for all a and b by the equation a@b =(a-b)/5,then (3@-2)@6=?	Choose the correct answer:
A) 0 B) 1 C) 2 D) -2 E) -1

Solution: work within the parenthesis first so solve (3@-2) first   (3@-2)=(3-(-2))/5=(3+2)/5= 
(3+2)/5 = 1
1   now take 1 plug back into equation and solve the rest   (1@6)=(1-6)/5=-5/5=-1   so -1 is the answer....this question is merely testing order of operations   remember P-1MDAS   Answer is option:-1
Answer: E
A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 4¢ envelopes and 5¢ envelopes. If the company requested 3 more 4¢ envelopes than 5¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ? Choose the correct choice.
A) 3x+32 B) 5x-1 C) (7x+15)/2 D) (9x-4)/2 E) 6x+2

Solution: We can take   X+1 = 9   X= 8   So 4c envelopes will be 6   and 5c envelopes will be 3   So total cost will be 39   Then that is our target   Plug x =8 in answer choices   Only 5x-1 works   Correct Answer : 5x-1
Answer: B
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 6%. What was its profit on the items sold in February? Select the correct option
A) 27.5%  B) 30%  C) 35%  D) 37.5%  E) 41%

Solution: Assume the total price = 100x   Price after 20% markup = 120x   Price after 25%further markup = 1.25*120= 
1.25*120 = 150
150x   Price after the discount= 0.94*150= 
0.94*150 = 141
141x   Hence total profit= 41%   Option 41%
Answer: E
Taps A and B can fill a bucket in 15 minutes and 30 minutes respectively. If both are opened and A is closed after 4 minutes, how much further time would it take for B to fill the bucket?	Options.
A) 19 mins.
B) 15 mins.
C) 18 mins.
D) 16 mins.
E) 17 mins.

Solution: Explanation:   Part filled in 3 minutes =   4∗(1/15+1/30)=4∗1/10=2/5   Remaining part =1−2/5=3/5   =>1/30:3/5=1:X   =>X=18   =>X=18 mins.   So it will take further 18 mins to fill the bucket.   Option 18 mins.
Answer: C
If y>x>0, which of the following must be true:
I. y^2>x^2
II. y^3 > x^3
III. |y|>x Choose the correct choice from the following choices.
A) I only  B) II only  C) I, II and III  D) II and III  E) III only

Solution: Assuming x and y to be integers   X=3,Y=2   X^2=3^2=9   Y^2=2^2=4   So I is true   Now lets look at option III because if option 3 is true E is the answer or else A   As per question X>Y>0 Hence |X| >Y   So OA=I, II and III
Answer: C
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 1.5 times the amount of the second solution?
Choose the correct choice from the following choices: A) 61 B) 65 C) 68 D) 70 E) 72

Solution: SOL:   Lets assume that 15L of sol1 was mixed with 10L of sol2.   61lcohol in Sol1: 15*3/4 = 11.25L   61lcohol in Sol2: 10*2/5 = 4L   Total 61lcohol in the mixed solution of 25L = 11.25 + 4= 
11.25 + 4 = 15.25
15.25L   61lcohol concentration in the new sol:  (15.25/25)*100= 
 (15.25/25)*100 = 61
61%   61NSWER:61
Answer: A
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Pick.
A) 1300000000	B) 12500	C) 14000	D) 12000	E) None of these

Solution: Explanation :   Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 655200000.   (75/100 * 96/100 * 70/100 * x) = 655200000.   => x = (655200000*100*100*100)/(75*96*70)= 
(655200000*100*100*100)/(75*96*70) = 1_300_000_000
1300000000   1300000000nswer : 1300000000
Answer: A
Laura took out a charge account at the General Store and agreed to pay 7% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?	Answers.
A) $2.10 B) $37.10 C) $37.45 D) $38.10 E) $38.80

Solution: Principal that is amount taken by Laura at year beginning = 35$   Rate of interest = 7%   Interest = (7/100)*35= 
(7/100)*35 = 49/20 = around 2.45
2.45$   Total amount that Laura owes a year later= 35+2.45= 
35+2.45 = 37.45
37.45 $   Answer $37.45
Answer: C
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 3 people play both cricket and football. How many people play only cricket?  Select
A) 11  B) 4  C) 5  D) 3  E) 9

Solution: people play only cricket = total players in cricket- both cricket and football- both cricket and hockey.   people play only cricket = 11-4-3= 
11-4-3 = 4
4   Answer is 4
Answer: B
If an item that originally sold for A dollars was marked up by x percent and then discounted by M percent, which of the following expressions represents the final price of the item?  Choose the correct choice
A) (10,000z + 100z(x – y) – xyz)/10,000  B) (10,000z + 100z(y – x) – xyz)/10,000  C) (100z(x – y) – xyz)/10000  D) (A+ Ax/100) - M/100 ( A +Ax/100)  E) 10000 /(x – y)

Solution: value of item =A ..marked up by x% = Ax/100   total value = A +ax/100 .discounted by L% on Total M/100 * ( A+Ax/100)   Final price =(A+ Ax/100) - M/100 ( A +Ax/100)   (A+ Ax/100) - M/100 ( A +Ax/100)
Answer: D
The speed of train, 150m long, is 50km/hr. How much time will it take to pass a plateform 600m long?
Choose the correct option:
A) 46 seconds.	B) 58 seconds.	C) 54 seconds.	D) 52 seconds.	E) 45 seconds.

Solution: Distance covered =150+600= 
150+600 = 750
750m speed=50km/hr =50*5/18 m/s =125/9 m/s. Time taken =750/125*9= 
750/125*9 = 54
54 seconds. Answer : 54 seconds.
Answer: C
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?	Choose the correct option
A) 238	B) 150	C) 988	D) 177	E) 171

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 100)/25 = x/15 => x = 150 m.   Answer: 150
Answer: B
Find the smallest four-digit number which is a multiple of 112  Choose the correct option:  A) 137  B) 112  C) 287  D) 121  E) 191

Solution: Explanation:   The smallest four digit number is 1000. If 1000 is divided by 112, the remainder is 104.   112 - 104= 
112 - 104 = 8
8, if 8 is added to 1000, it will become the smallest four digit number and a multiple of 112.   Answer: 112
Answer: B
All the students of class are told to sit in circle shape. Here the boy at the 5 th position is exactly opposite to 20 th boy. Total number of boys in the class?  Pick one.
A) 30
B) 40
C) 45
D) 25
E) 20

Solution: 30s half the circle shape consist of   20-5= 
  20-5 = 15
15 boys,   So total number of boys in full circle=2*15= 
2*15 = 30
30   30NSWER:30
Answer: A
If m > 1 and n = 2^(m+1), then 4^m = Pick one:	A) 16n^2	B) 4n^2	C) n^2	D) n^2/4	E) n^2/16

Solution: n = 2^(m+1) = 2^m*2   2^m = n/2   4^m = (2^m)^2 = (n/2)^2 = n^2/4   The answer is n^2/4.
Answer: D
What is the area of the hall?
I.	Material cost of flooring per square metre is Rs. 2.50
II.	Labour cost of flooring the hall is Rs. 3500
III.	Total cost of flooring the hall is Rs. 14,500.
Pick: A) I and II only B) II and III only C) All I, II and III D) Any two of the three E) None of these

Solution: EXPLANATION   I. Material cost = Rs. 2.50 per m2   II. Labour cost = Rs. 3500.   III. Total cost = Rs. 14,500.   Let the area be A sq. metres.   Material cost = Rs. (14500 – 3500) = Rs. 11,000.   5A/2 = 11000⇔A = (11000x2/5) = 4400 m2.   Answer All I, II and III
Answer: C
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?	Pick:  A) 11  B) 25  C) 77  D) 99  E) 21

Solution: SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%.Answer:25
Answer: B
A monkey start climbing up a tree 22 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.  Select.
A) 15 hrs	B) 18 hrs	C) 20 hrs	D) 17 hrs	E) 16 hrs

Solution: if monkey hops 3ft and slips back 2ft in a hour, it means the monkey hops (3ft-2ft)= 1ft/hr.   similarly in 19hrs it wil be 19ft.   Bt since the height of the tree is 22ft, so if the monkey hops up the tree in the next hr i.e 20th hr then it reaches at the top of the tree.   hence it takes 20 hrs for monkey to reach at the top   ANSWER:20 hrs  (3  -2  )= 
  (3  -2  ) = 1
1ft/hr.   similarly in 19hrs it wil be 19ft.   Bt since the height of the tree is 22ft, so if the monkey hops up the tree in the next hr i.e 20th hr then it reaches at the top of the tree.   hence it takes 20 hrs for monkey to reach at the top   ANSWER:20 hrs
Answer: C
What is the sum of the prime factors of 27 and the prime factors of 121?
Choose the correct choice from the following choices
A) 14  B) 20  C) 22  D) 26  E) 31

Solution: The prime factors of 27 are 3*3*3   The prime factors of 121 are 11*11   3+3+3+11+11= 
3+3+3+11+11 = 31
31. 31 is the correct answer
Answer: E
Fill in the blank with the correct number in this number series: 5, 15, 7, 12, __, 9, 11,... ?	Choose the correct choice.
A) 6 B) 9 C) 8 D) 7 E) 5

Solution: In this simple alternating subtraction and addition series; The first series begins with 5 and adds 2; the second begins with 15 and subtracts 3, and so on.   Answer: 9
Answer: B
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days G will the work get over?
Choose the correct choice:
A) 60
B) 70
C) G=75
D) G=80
E) 100

Solution: We can also use the concept of man-days here   100 days -->10men so the job includes 100*10= 
100*10 = 1_000
1000 man-days   After 20 days   1/4 of Job is completed so 1/4 X 1000 man-days=250 man-days Job is done   Now the Balance Job=1000-250= 
1000-250 = 750
750 man-days worth of Job   Since 2 men are fired so B/L men=8   Therefore Total no. of days of Job=750 man-day/8 days = 375/4=94 days (approx.)   Now since this is total and Ques. is asking for additional no. of days,   So 94-20= 
94-20 = 74
74 days   The nearest approx. to answer is 75   Ans: G=75 (75 days)
Answer: C
P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?  Choose one
A) 40  B) 35  C) 55  D) 60  E) 70

Solution: Amount 70arned by P,Q and R in 1 day = 1620/9= 
1620/9 = 180
180 ---(1)   Amount 70arned by P and R in 1 day= 600/5= 
600/5 = 120
120 ---(2)   Amount 70arned by Q and R in 1 day= 910/7= 
910/7 = 130
130 ---(3)   (2)+(3)-(1)=> Amount 70arned by P , Q and 2R in 1 day   - Amount 70arned by P,Q and R in 1 day = 120+130-180= 
120+130-180 = 70
70=>Amount 70arned by R in 1 day = 70   Answer is 70.
Answer: E
At a certain zoo, the ratio of zebras to penguins is 6 to 11. If there are 85 more penguins than zebras at the zoo, how many zebras are there?
Choose the correct choice from the following options:
A) 24	B) 36	C) 48	D) 72	E) 102

Solution: 6/11 = x / x+85   6*85 = 5x   x=102   E. 102
Answer: E
In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 16 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?	Choose the correct option:
A) 144	B) 150	C) 156	D) 162	E) 168

Solution: Initially the number of gold coins and silver coins is 2k and 6k.   After adding gold coins, the number of coins is 3k and 6k.   Thus k = 16 and the total number of coins is 9k = 144.   The answer is 144.
Answer: A
How many seconds will a 300 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Pick one: A) 11 sec B) 18 sec C) 77 sec D) 14 sec E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 300 * 3/50= 
300 * 3/50 = 18
18 sec.   Answer: 18 sec
Answer: B
800 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choose the correct answer:	A) 11.5	B) 12.5	C) 10.5	D) 11	E) 12

Solution: 800*15 = 1000*x   x = 12   ANSW12R:12
Answer: E
On a Monday in a certain restaurant, 20 percent of the 180 customers ordered the daily special. On Tuesday, only 20 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special? Select the correct option:
A) 15% B) 16% C) 18% D) 23% E) 20%

Solution: 20% of 180= 36   20% of 120=24   Total =60   percent for 2 days combined =60/300 =0.2. so it should be less than 0.2 so it is 20%   Answer:20%
Answer: E
If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b = Pick one.
A) −48  B) −2  C) 2  D) −7  E) 48

Solution: a(a + 7) = 18 and b(b + 7) = 18   => a, b must be integers and if a is -9 or 2, b will be 2 and -9 respectively   => a+b = -7   Ans: −7
Answer: D
Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 48 yr. How old is E?	Choose the correct choice from the following choices: A) 25 yr B) 40 yr C) 45yr D) 64 yr E) NOne

Solution: Solution:   Total present age of A, B, C and D,   = (45*4)+(4*5)= 
(45*4)+(4*5) = 200
200 yr;   Total age present age of A, B, C, D and E,= 48*5= 
48*5 = 240
240 yr.   So, age of E= 40 yr.   Answer: Option 40 yr
Answer: B
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 300 pastries ?	Options:
A) 2 hours. B) 1 hours. C) 5 hours. D) 4 hours. E) 3 hours.

Solution: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 300 pastries would take 300 ÷ 60 = 5 hours.   ANSWER 5 hours.
Answer: C
Three consecutive even numbers are such that thrice the first number exceeds double the third number by seven. What is the third number?
Select
A) 19
B) 21
C) 23
D) 25
E) 27

Solution: Let the three numbers be x, x+2, and x+4.   3x = 2(x+4) + 7   x = 15 and then the third number is x+4 = 19.   The answer is 19.
Answer: A
A tour group of 25 people paid a total of $1155 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices	Answers:
A) $22
B) $23.94
C) $44
D) $25.20
E) $30

Solution: Soln:-   1155/25=x+0.05x   1155/25=1.05x   x=44   ANSWER:$44
Answer: C
Find the compound interest on $1200 for 4 years at 20% p.a. if CI is component yearly?
Select the correct option.
A) $120 B) $150 C) $1288 D) $250 E) $300

Solution: A = P(1 + R/100)^T   = 1200(1 + 20/100)^4   =$2488   $1288I = $1288   Answer is $1288
Answer: C
Share Rs.4320 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?	Pick one.
A) 900 B) 980 C) 1200 D) 1240 E) 1440

Solution: Amount received by sanjay.   4 / 12 X 4320 = 1440= ( related ratio / sum of ratio ) x Total amount   So, the Amount received by sanjay is 1440.   1440
Answer: E
A man is 26 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is  Pick one:	A) 20 years	B) 21 years	C) 22 years	D) 24 years	E) 26 years

Solution: Explanation:   Let the son's present age be x years. Then, man's present age = (x + 26) years   => (x + 26) + 2 = 2(x + 2)   => x + 28 = 2x + 4   So, x = 24   Answer: Option 24 years
Answer: D
3-6*6+2=	Pick one:
A) A)-31
B) B)-13
C) C)-18
D) D)-17
E) of the above

Solution: 3-6*6+2 = 5-36 = -31...   so the answer is -31... -31
Answer: A
Susan, John, Daisy, Tim, Matt,Rose,Lily and Kim need to be seated in 8 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?	Options
A) A)20160 B) B)120 C) C)80 D) D)240 E) E)60

Solution: Total number of arrangements = 8! = 40320   In exactly half, Susan will be to the left of Tim, which gives us 20160 arrangements   Option (20160)
Answer: A
Will must choose a 3-character computer password, consisting of 2 letter from the alphabet and 1 distinct digits, in any order.From how many different passwords can Will choose?	Choose the correct choice from the following answers.
A) 390  B) 2,340  C) 4,680  D) 39,000  E) 14,040

Solution: 10C1*26C1*25C1 =6500   =>6500 * 3 ! = 39000.   Option E is correct answer...but OA is 39,000.
Answer: D
What will come in place of the question mark (?) in the following questions?
7777/35 =?
Pick one:
A) 333.2 B) 222.2 C) 242.1 D) 553.1 E) 567.6

Solution: 222.2   7777/35= 
7777/35 = 1_111/5 = around 222.2
222.2
Answer: B
If |x| < x^2, which of the following must be true ?  Choose the most appropriate option:
A) x² >- 1.
B) x² > -2.
C) x² > 0.
D) x² > 1.
E) x² > 2.

Solution: |x| < x² implies that x is NONZERO.   Since x is nonzero, |x| > 0 and x² > 0.   Implication:   Both sides of the inequality are positive, allowing us to SQUARE the inequality.   (|x|)² < (x²)²   x² < x⁴.   Since x² > 0, we can safely DIVIDE both sides by x²:   x²/x² < x⁴/x²   1 < x²   x² > 1.   Answer x² > 1.
Answer: D
From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is?
Choose the correct choice.
A) 45%	B) 49.6%	C) 51.2%	D) 55%	E) 60.3%

Solution: Let the total quantity of original milk = 1000gm   Milk after 1st operation = 80% of 1000 = 800gm   Milk after second operation = 80% of 800 = 640gm   Milk after third operation = 80% of 640 = 512gm   Strength of final mixture = 51.2%   Answer is 51.2%
Answer: C
A large box contains 15 small boxes and each small box contains 20 chocolate bars. How many chocolate bars are in the large box?  Answers:  A) A)220  B) B)490  C) C)380  D) D)300  E) E)690

Solution: the only thing you have to do is a simple multiply   we have:   15*20= 
15*20 = 300
300   correct answer is:   300) 300
Answer: D
Out of 460 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?	Choose the most appropriate option
A) 120
B) 150
C) 100
D) 180
E) 90

Solution: n(A)=325,n(B)=175,n(AuB)=460-50= 
460-50 = 410
410.   Required number= n(AnB)=n (A)+n (B)-n(AuB)=325+175-410= 
325+175-410 = 90
90.   Answer is 90
Answer: E
a, b, c, d, and e are positive consecutive integers and a < b < c < d < e.
If the sum of a + b is one less than e, and the product of ab is one more than d, then what is the value of c?
Choose the most appropriate option:
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Since the integers are consecutive, we can write each as the previous integer +1. For example, b = a+1, and c = b+1. We can also reverse this: a+1 = b, and b+1 = c.   Since ab = d+1, we can also write this ab = e.   Since a+b = e-1, then a+b = ab-1.   Find the pair of consecutive integers whose sum is one less than its product. These numbers are 2 and 3 (sum: 5; product: 6).   Now that we know how the series starts, we can find the value of c. If the first two numbers are 2 and 3, the third number is 4 (option 4).
Answer: B
Product of two natural numbers is 11. Then, the sum of reciprocals of their squares is	Choose the correct choice from the following answers:	A) 290/289	B) 122/121	C) 290/90	D) 290/19	E) None of these

Solution: Explanation:   If the numbers are a, b, then ab = 17,   as 17 is a prime number, so a = 1, b = 17.   1/a2+1/b2=1/1(2)+1/11(2)   1/ 2+1/ 2= 
1/ 2+1/ 2 = 1
1/1(2)+1/11(2)=122/121   Option 122/121
Answer: B
If x is a positive integer, which of the following must be odd?  Choose the correct choice from the following:	A) x+1	B) x^2+x	C) x^2+x+3	D) x^2−1	E) 3x^2−3

Solution: A. X+1 = can be odd or even. Since O + O =E or E + O = O   B. X^2 + X = X(X+1). Since from the above derivation we already know the term X+1 can be Odd or Even, directly substitute here. X(ODD) = Even (When X is Even) or X(EVEN) = EVEN [When X is ODD]   C. Here's the answer. Since we know the term x^2 + X can always take a EVEN number, EVEN + 3 = ODD   Hence x^2+x+3.
Answer: C
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?  Choose the correct choice: A) 18 liters B) 17 liters C) 10 liters D) 19 liters E) 11 liters

Solution: Explanation:   Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.   Answer: 10 liters
Answer: C
Sam the Squirrel found a basket
of pine cones one morning. He
decided that every day he would
double the number of pine cones in the basket in
the morning and eat 2 pine cones out of the
basket in the afternoon. At the end of the third
day, there were 34 pine cones in the basket.
How many pine cones were in the basket when
Sam the Squirrel found it?	Choose one:
A) 2	B) 4	C) 6	D) 8	E) 10

Solution: We will work backwards to find how many pinecones there were initially.   3rd day:   At the end of the afternoon, Sam had 34.   At the beginning of the afternoon, he had   34 + 2= 
  34 + 2 = 36
36.   At the beginning of the morning, he had 36 ÷ 2=18.   2nd day:   At the end of the afternoon, he had 18.   At the beginning of the afternoon, he had   18 + 2= 
  18 + 2 = 20
20.   At the beginning of the morning, Sam had 20 ÷ 2=10.   1st day:   At the end of the afternoon, Sam had 10.   At the beginning of the afternoon, he had   10 + 2= 
  10 + 2 = 12
12.   At the beginning of the morning, he had 12 ÷ 2= 6   correct answer 6
Answer: C
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group? Pick one:
A) Rs.17
B) Rs.76
C) Rs.15
D) Rs.72
E) Rs.71

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90   The average amount with them = 90/6 = Rs. 15.   Answer:Rs.15
Answer: C
How many years will it take my savings account initial deposit to double given that I receive just 2% per annum simple interest on the deposited money. Choose the correct choice from the following answers: A) 50 B) 45 C) 55 D) 35 E) 40

Solution: P = (P*2*R)/100   100P = P*2*R   100 = 2R   Therefore R = 50 Years   50= 50
Answer: A
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Choose the correct option
A) 6	B) 5	C) 4	D) 2	E) 9

Solution: S = 1   M = x   DS = x + 1   US = x - 1   35/(x + 1) + 35/(x - 1) = 12   x = 6   6nswer: 6
Answer: A
Speed of boat in still water is 9km/hr . if boat moves upstream A to B in 2 hrs. &
B to A in 1 hrs. Then find distance between A&B
Select the correct option:
A) 10km  B) 11km  C) 12km  D) 13km  E) 14km

Solution: Let speed of stream = s kmph   distance be x   for upstream   (9-s)*2=x (speed*time=distance)   for downstream   (9+s)*1=x   On solving we get x=12km   ANSWER:12km
Answer: C
A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Choose the correct choice from the following answers:
A) 7 1/2days	B) 6 1/2days	C) 5 1/2days	D) 4 1/2days	E) 3 1/2days

Solution: Explanation:   In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. 7 1/2dayss,   Son's one day work =   (1/3−1/5)=(5−3/15)=2/15   So son will do whole work in 15/2 days   which is =   7 1/2days   Option 7 1/2days
Answer: A