MU-NLPC/Calc-aqua_rat huggingface dataset:
A department of ten people - four men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Pick.
A) 100
B) 120
C) 150
D) 180
E) 200

Solution: They can make a team of 3 men and 2 women.   The number of ways to do this is 4C3*6C2=4*15= 
4*15 = 60
60   They can make a team of 2 men and 3 women.   The number of ways to do this is 4C2*6C3=6*20= 
6*20 = 120
120   The total number of distinct groups is 180.   The answer is 180.
Answer: D
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choose the correct choice from the following choices.
A) 1400 B) 1300 C) 1200 D) 1100 E) 1000

Solution: Explanation:   1200P* (76/100) = 912   1200P1200 * (76/100)= 
1200 * (76/100) = 912
912   1200P= 12 * 100= 
12 * 100 = 1_200
> 1200P= 1200   ANSWER IS 1200
Answer: C
On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:  Choose the correct choice.
A) 364724 B) 365387 C) 365737 D) 366757 E) 366767

Solution: Required number= 999*366+103   = (1000-1)*366+103   = 366000-366+103= 
366000-366+103 = 365_737
365737.   ANSWER:365737
Answer: C
Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?  Choose the correct choice from the following answers.
A) 6 6/29 sec	B) 7 1/7 sec	C) 7 2/2 sec	D) 8 1/2 sec	E) 7 1/19 sec

Solution: 70 + 75= 
70 + 75 = 145
145 * 5/18= 725/18 mps   D = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 18/725 = 180/29 = 6 6/29 sec   6 6/29 secnswer: 6 6/29 sec
Answer: A
The distance traveled by earth in one year approximately 6590000000000 miles.The distance traveled by the earth by in 100 years? Choose the correct choice from the following answers:
A) 10<16>	B) 10<10>	C) 10<13>	D) 10<15>	E) 10<18>

Solution: The distance traveled by earth in one year = 65,900,000,000,000 miles   The distance traveled by earth in 100 years =65,900,000,000,000 *100 years = 6,590,000,000,000,000 miles   =659*10<13> (exponent) Answer: 10<13>
Answer: C
If a woman lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices
A) 2 B) 9 C) 23 D) 12 E) 8

Solution: Option 8   8xplanation:   96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 7 sec. What is the length of the train?  Choose the correct choice:
A) 112.21
B) 27.21
C) 117.66
D) 277
E) 116.66

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 7   = 116.66   Answer: 116.66
Answer: E
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability W that exactly two visitors will buy a pack of candy? Choose the correct option:  A) 0.343  B) 0.147  C) 0.189  D) 0.063  E) 0.027

Solution: 30.1892 * (3/10)^2 * 7/10   = 3 * 9/100 * 7/10   = 189/1000= 
189/1000 = 189/1_000 = around 0.189
0.189=W   Answer - 0.189
Answer: C
The ratio of three numbers is 3:4:7 and their product is 18144. The numbers are
Choose the correct answer
A) 9,12,21
B) 15,00,25
C) 18,24,42
D) 24,16,17
E) 30,15,17

Solution: Let the numbers be 3x, 4x and 7x   3x x 4x x 7x=18144   X3=216   X=6   The numbers are 18,24,42   ANSWER 18,24,42
Answer: C
8 hens weigh equal to as many duck as are equal to 7 cats. All of them weigh 264kg only. Hen's weighs are?	Choices:
A) 6
B) 5
C) 2
D) 7
E) 11

Solution: 8h = xd = 7c   8h + xd + 7c ----- 264kg.   8h+8h+8h ----- 264kg.   24h ------ 264kgs. => 1h = 11kg   Answer: 11
Answer: E
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 210-gram mixture, 40 grams of pure milk is added, what would be the percentage of milk in the resulting mixture? Pick:
A) 82.2%	B) 83.2%	C) 84.2%	D) 85.2%	E) 86.2%

Solution: The amount of milk is 0.8(210) + 40 = 208 grams.   The proportion is 208/250= 
208/250 = 104/125 = around 0.832
0.832 which is 83.2%   The answer is 83.2%.
Answer: B
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices
A) 1:96 B) 1:98 C) 1:96 D) 1:95 E) 1:91

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x =1:96.   1:96nswer: 1:96
Answer: A
The length of the bridge, which a train 150 metres long and travelling at 54 km/hr can cross in 30 seconds, is?	Choose one
A) 340 m.
B) 350 m.
C) 320 m.
D) 330 m.
E) 360 m.

Solution: Speed = [54X 5/18] m/sec = [15] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30   = 15 => (130 + x)/30   = 320 => x   = 320 m.   Answer:320 m.
Answer: C
During a certain week, a seal ate 65% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?  Choose the correct choice from the following
A) 32
B) 40
C) 55
D) 64
E) 112

Solution: Total smelt = x.   Then, 0.65*80+0.3(x-80)=0.4*x --> x=280 --> 0.4*x=112.   Answer: 112.
Answer: E
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum S of the 3 greatest of these temperatures, in degrees Fahrenheit, could be Choose the correct choice from the following:  A) 6x  B) S=4x  C) S=5x/3  D) S=3x/2  E) 3x/5

Solution: OA please. Yeah so 5x is the sum of the 5, then I guess 4x could be the answer (B)   But what about C,D,E? Any ideas why these could be wrong?   Note that we have 5positivetemperatures.   Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<sum<5x --=""> only option B fits.   Answer: S</sum<5x>=4x.
Answer: B
What is the sum of all the prime numbers greater than 30 but less than 50?	Choose the correct answer:
A) 126	B) 199	C) 198	D) 188	E) 122

Solution: Required sum = (31 + 37 + 41 + 43 + 47)= 
(31 + 37 + 41 + 43 + 47) = 199
199   Note: 1 is not a prime number   Answer 199
Answer: B
A truck covers a distance of 296 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 6.5 km more than that travelled by the truck ?  Choices:	A) 6 hours	B) 5 hours	C) 5.5 hours	D) 8 hours	E) None

Solution: Explanation :   Speed of the truck = Distance/time = 296/8= 
296/8 = 37
37 kmph   Now, speed of car= (speed of truck + 18) kmph = (37 + 18)= 
(37 + 18) = 55
55 kmph   Distance travelled by car= 296 + 6.5= 
296 + 6.5 = 302.5
302.5 km   Time taken by car= Distance/Speed = 302.5/55= 
302.5/55 = 5.5
5.5 hours.   Answer – 5.5 hours
Answer: C
How many zeroes are there at the end of the number N, if N = 90! + 180! ? Choose the correct choice from the following answers:
A) 15  B) 18  C) 21  D) 24  E) 27

Solution: The number of zeroes at the end of 90! will be less than the number of zeroes at the end of 180!   Hence it is sufficient to calculate the number of zeroes at the end of 90!   The number of zeroes = [90/5] + [90/25] + [90/125] = 18 + 3 + 0= 
18 + 3 + 0 = 21
21   The answer is 21.
Answer: C
Two trains of equal lengths take 5 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Options:  A) 22  B) 12  C) 7.5  D) 99  E) 21

Solution: Speed of the first train = 120/5= 
120/5 = 24
24 m/sec.   Speed of the second train= 120/15= 
120/15 = 8
8 m/sec.   Relative speed= 24 + 8= 
24 + 8 = 32
32 m/sec.   Required time= (120 + 120)/32= 
(120 + 120)/32 = 15/2 = around 7.5
7.5 sec.   Answer: 7.5
Answer: C
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 540 tiles in the floor, how many tiles does the leftmost row contain?
Options
A) 52	B) 56	C) 60	D) 64	E) 68

Solution: This question can be solved in a variety of ways: with algebra, by TESTing THE ANSWERS and by using a great Number Property shortcut involving consecutive integers.   We're given a few facts to work with:   1) There are 9 rows of tiles.   2) When going from 'left to right', each row contains TWO FEWER tiles than the one next to it.   3) There are a total of 540 tiles   We're asked how many tiles the left-most most row holds (meaning the one with the MOST tiles).   To start, 540 is divisible by 9, so we can figure out the AVERAGE number of tiles per row. That is 540/9= 
540/9 = 60
60. Since we're dealing with a set of 9 consecutive integers that differ by 2 each, we know that the '5th row' will have 60 tiles (the average). Then we just have to 'add 2s' until we get to the first row...   60 +2 +2 +2 +2= 
60 +2 +2 +2 +2 = 68
68.   Final Answer:   68
Answer: E
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 36Â° is?  Answers:  A) 52.6  B) 45.3  C) 52.8  D) 52.1  E) 52.2

Solution: 36/360 * 22/7 * 12 * 12 = 45.3 m2   Answer: 45.3
Answer: B
KIM CAN DO A WORK IN 3 DAYS WHILE DAVID CAN DO THE SAME WORK IN 2 DAYS. BOTH OF THEM FINISH THE WORK TOGETHER AND GET RS. 150. WHAT IS THE SHARE OF KIM?  Choose the correct choice from the following answers:  A) RS. 30  B) RS. 60  C) RS. 70  D) RS. 75  E) NONE OF THESE

Solution: KIM'S WAGES: DAVID'S WAGES= KIM'S 1 DAY'S WORK: DAVID'S 1 DAY'S WORK=1/3:1/2=2:3   KIM'S SHARE = RS. (2/5*150)=RS. 60   CORRECT OPTION: RS. 60
Answer: B
. In digging a pond 34 m * 16 m *9 m the volumes of the soil extracted will be?
Choose the correct choice from the following:
A) 3323 B) 4896 C) 4788 D) 4790 E) 6000

Solution: 34 * 16 * 9= 
34 * 16 * 9 = 4_896
4896   Answer: 4896
Answer: B
Find the average of all even numbers upto 75.  Select:
A) 35  B) 36  C) 38  D) 34  E) 32

Solution: Exp. Average of all even numbers upto 75 = [ 35/2* ( first even number +   greatest even number before 75) ]/35 = ½ *(2 +74 ) = 76/2= 
76/2 = 38
38.   Answer: 38
Answer: C
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?	Select
A) 7%	B) 4percent	C) 5%	D) 2%	E) 1%

Solution: 65* (90/100)*((100-x)/100)   = 56.16   x = 4%   Answer: 4percent
Answer: B
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number X?
Select:	A) a. 2^96 + 1	B) b. 2^16 - 1	C) c. 2^16 + 1	D) d. 7 * 2^33	E) e. 2^64 + 1

Solution: a³ + b³ =(a+b)(a² -ab +b²)   Now, let (2^32 + 1) be (a+b)   a³ + b³ = (2^96 + 1)   Now, as mentioned in formula above,   a³ + b³ is always divisible by (a+b)   So any factor of X=(a+b) is a factor of (a³ + b³)   Henca a. 2^96 + 1
Answer: A
An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?  Choose the correct choice from the following answers:  A) 12.5  B) 10.5  C) 9.5  D) 14.5  E) None of them

Solution: Let C.P =Rs 100.then, marked price =Rs100   S.P=75% of Rs 150=Rs112.50   Hence,gain%=12.50%   12.5nswer is 12.5.
Answer: A
Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 40?  Choose the correct answer.
A) 3  B) 12  C) 18  D) 22  E) 30

Solution: The theory says:   if a # x is devided by y and leave the positive # r as the remainder then it can also leave negative # (r-y) as the remainder.   e.g:   9 when devided by 5 leves the remainder 4 : 9=5*1+4   it can also leave the remainder 4-5 = -1 : 9=5*2 -1   back to the original qtn:   n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5   ==> n leaves a remainder of -2 (i.e. 4-6) after division by 6 and a remainder of -2 (i.e. 3-5) after division by 5   ==> n when devided by 5 and 6 leaves the same remainder -2.   what is n?   LCM (5,6)-2 = 30-2= 
30-2 = 28
28   CHECK: 28 when devided by 6 leaves the remainder 4 and when devided by 5 leaves the remainder 3   However, the qtn says n > 40   so what is the nex #, > 28, that can give the said remainders when devided by 6 and 5   nothing but 28 + (some multiple of 6 and 5) as thissome multiple of 6 and 5will not give any remainder when devided by 5 or 6 but 28 will give the required remainders.   hence n could be anything that is in the form 28 + (some multiple of 6 and 5)   observe thatsome multiple of 6 and 5is always a multiple of 30 as LCM (5,6)= 30.   hence when n (i.e. 28 + some multiple of 6 and 5) is devided by 30 gives the remainder 28.   30
Answer: E
A, B and C start swimming in a pool simultaneously from the same end. To complete 10 laps, A takes 10 minutes, B takes 6 minutes and C takes 6 minutes. What is the ratio of speeds A:B:C?  Answers.
A) 3:5:5 B) 12:15:20 C) 5:4:3 D) 4:6:5 E) 12:15:25

Solution: The slowest one is A, then comes B and the fastest one is C. So, the the ratio of speeds A:B:C must be in ascending order. Eliminate options C, D, and E.   A's speed (distance)/(time) = 10/10= 
10/10 = 1
1 lap per minute= 3 laps in 3 minute;   B's speed (distance)/(time) = 10/6= 5/3 lap per minute = 5 laps in 3 minutes;   C's speed (distance)/(time) = 10/6 = 5/3 lap per minute = 5 laps in 3 minutes/   Therefore, the the ratio of speeds A:B:C is 3:5:5.   3:5:5nswer: 3:5:5.
Answer: A
Niharika covers a distance in 30 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 30%. Choose the most appropriate option.
A) 84.71 kmph.	B) 85.74 kmph.	C) 83.71 kmph.	D) 85.71 kmph.	E) 84.71 kmph.

Solution: Given Speed = 60 Kmph.   It means Niharika covered 60 km in 60 min (1 hour). So, in 30 min he will cover 30 km.   30% time reduced = 30 - 30% of 30= 21 min.   Thus, Niharika needs to cover 30 km in 21 min (0.35 hour).   Speed * Time = Distance.   Speed * 0.35 = 30   Speed = 85.71 kmph.   ANSWER : OPTION 85.71 kmph.
Answer: D
In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?  Pick:
A) 24,000
B) 36,000
C) 168,000
D) 240,000
E) 300,000

Solution: D + R = 100 ---- (1)   D - R = 12 ---- (2)   Solving (1) and (2) D = 56% and R = 44%   44% of Total = 132000   Total = 300000   D = 168000   Difference = 168000 - 132000= 
168000 - 132000 = 36_000
36000   Answer: 36,000
Answer: B
At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party?  Choose the correct option:
A) 28
B) 37
C) 20
D) 45
E) 27

Solution: Explanation:   Let Original members be x   First One third guest departed i.e x/3   Remaining guests = x – (x/3) = 2x/3   Now from the remaining (2x/3) two-fifths departed = 2/5(2x/3) = 4x/15   i.e. Now remaining guests will be (2x/3 – 4x/15) = 2x/5   Now from remaining (2x/5) two-thirds departed = 2/3(2x/5) = 4x/15   Now remaining guests = (2x/5 – 4x/15) = 2x/15   Given 2x/15 = 6 ⇒ x = 45   Answer: 45
Answer: D
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age? Choose the correct choice from the following answers: A) 337 B) 2399 C) 800 D) 287 E) 221

Solution: Explanation:   25 = E/(1000 - E) * 100   1000 - E = 4E   1000 = 5E => E = 200   1000 - 200= 
1000 - 200 = 800
800   Answer:800
Answer: C
Because he’s taxed by his home planet, Mork pays a tax rate of 10% on his income, while Mindy pays a rate of 20% on hers. If Mindy earned 3 times as much as Mork did, what was their combined tax rate?
Choose the correct choice from the following answers:
A) 32.5% B) 17.5% C) 20% D) 36% E) 37.5%

Solution: Say Morks income is - 100   So tax paid will be 10   Say Mindys income is 3*100= 
3*100 = 300
300   So tax paid is 20% * 300= 60   Total tax paid = 10+60= 
10+60 = 70
70.   Combined tax % will be 70/100+300= 15.5%
Answer: B
Pipe A can fill a tank in 8 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choose the correct answer:
A) 18  B) 27  C) 98  D) 27  E) 66

Solution: Let the pipe B be closed after x minutes.   30/8 - x/24 = 1 => x/24 = 30/8 - 1 = 11/4   => x = 11/4 * 24= 
11/4 * 24 = 66
66.   Answer:66
Answer: E
How many words can be formed by using all letters of the word 'AROUND' ? Choose the correct choice from the following
A) 712
B) 720
C) 757
D) 736
E) 742

Solution: The word AROUND contains 6 different letters   Required number of words = 6P6 = 6! = 6*5*4*3*2*1 = 120   Answer is 720
Answer: B
The original price of a shirt was $20. It was decreased to $15 . What is the percent decrease of the price of this shirt. Choose the correct choice from the following options:  A) 25%  B) 35%  C) 45%  D) 55%  E) 65%

Solution: The absolute decrease is   20 - 15= 
20 - 15 = 5
$5   The percent decrease is the absolute decrease divided by the the original price (part/whole).   percent decease= 5 / 20= 
5 / 20 = 1/4 = around 0.25
0.25   Multiply and divide 0.25 to obtain percent.   percent decease= 0.25 = 0.25 * 100 / 100 = 25 / 100 = 25%   25%nswer 25%
Answer: A
A tank of 100 litres is filled with kerosene. Ram replaces 10% of kerosene with water and repeats this procedure 4 times. What is the amount of kerosene left in the tank? Pick one.
A) 65.60 litres	B) 65.71 litres	C) 25.61 litres	D) 65.61 litres	E) 65.31 litres

Solution: Explanation:   As Ram replaces 10% of kerosene with water, the amount of kerosene left is 90%.   As the replacement is done four times,   After 1st replacement, kerosene left is :   0.9*100= 
  0.9*100 = 90
90 litres   After 2nd replacement, kerosene left is :   0.9*90= 
  0.9*90 = 81
81 litres   After 3rd replacement, kerosene left is :   0.9*81= 
  0.9*81 = 72.9
72.9 litres   After 4th replacement, kerosene left is :   0.9*72.9= 
  0.9*72.9 = 65.61
65.61 litres   ANSWER: 65.61 litres
Answer: D
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?  Choose the correct option:  A) 130  B) 120  C) 218  D) 140  E) 145

Solution: A+B+C = 675   A = 3B   3B+B+B-25 = 675   5B = 700   B = 140   Answer: 140
Answer: D
If a:b:c = 3:4:7, then the ratio (a+b+c):c is equal to	Select:  A) 2:1  B) 14:3  C) 7:2  D) 1:2  E) None

Solution: Solution: (a+b+c) = 3+4+7= 
3+4+7 = 14
14 and   c= 7 Then, (a+b+c):c = 2:1.   2:1nswer: Option 2:1
Answer: A
If p and y are both odd prime numbers and p < y, how many distinct positive integer factors does 2py have?	Choose the correct choice from the following answers
A) 3	B) 4	C) 6	D) 8	E) 12

Solution: Since 2py prime factors are p^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think 8 would be the correct answer.
Answer: D
A driver goes on a trip of 50 kilometers, the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?  Pick.
A) 35	B) 36	C) 40	D) 42	E) 45

Solution: The time for the first part of the trip was 25/60 = 5/12 hours.   The time for the second part of the trip was 25/30 = 5/6 hours.   The total time for the trip was 5/12 + 5/6 = 15/12 = 5/4 hours.   The average speed for the trip was   50 / (5/4)= 
  50 / (5/4) = 40
40 kph   The answer is 40.
Answer: C
The number 110 can be written as sum of the squares of 3 different positive integers. What is the sum of these 3 different integers? Choose the correct choice from the following choices
A) 10	B) 12	C) 18	D) 14	E) 17

Solution: sum of the squares of 3 different positive integers = 110   5^2 + 6^2 + 7^2 = 110   now,   sum of these 3 different integers = 5 + 6 + 7= 
5 + 6 + 7 = 18
18   Ans - 18
Answer: C
A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle is poured into a larger bottle, four times as big as original. The remaining space in the larger bottle is then filled with water. If there was 8 ml of oil in the original bottle, how much of water is in the final mixture?	Choose the correct option.
A) 66	B) 67	C) 68	D) 69	E) 70

Solution: Let the total volume of original bottle be x   Then question says 40% of x is oil.   Also question mentions that there is 8ml of oil in original bottle.   Set up equation--> 40% of x = 8   40 * x /100 = 8   x=20.   Hence oil in original container is = 8mL (40 % of total volume)   vinegar in original container is = 4mL (20 % of total volume)   water in original container is = 8mL. (40 % of total volume)   Now we take a container which has 4 times volume of original container.   So, volume of new container = 4*20= 
4*20 = 80
80   In this new container we pour oil, vinegar and water from original container.   Volume occupied in new container by oil, vinegar and water from original container= 8+4+8= 
8+4+8 = 20
20mL   Hence volume left in new container= 80 - 20= 
80 - 20 = 60
60mL   As per question, remaining space in the larger bottle is then filled with water. i.e 60mL is filled with water.   Hence total water in new container= 60 mL + 8mL(this one poured from old container)   =68mL   ANSWER:68
Answer: C
9548 + 7314 = 6362 + (?)  Options:
A) 8300 B) 8400 C) 8500 D) 8700 E) 10000

Solution: 9548 16862 = 6362 + x   + 7314 x = 16862 - 6362   ----- = 10500   16862   -----   10000)
Answer: E
There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is	Answers.
A) 45
B) 35
C) 63
D) 15
E) 21

Solution: List down possibilities: From only 1 box all the way to all 6   If only one of the boxes has a green ball, it can be any of the 6 boxes. So, we have 6 possibilities.   If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.   If 3 of the boxes have green balls, there are 4 possibilities: 123, 234, 345, 456.   If 4 boxes have green balls, there are 3 possibilities: 1234, 2345, 3456.   If 5 boxes have green balls, there are 2 possibilities: 12345, 23456.   If all 6 boxes have green balls, there is just 1 possibility.   Total number of possibilities = 6 + 5 + 4 + 3 + 2 + 1= 
6 + 5 + 4 + 3 + 2 + 1 = 21
21.   Ans: 21
Answer: E
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?  Choose the correct answer:
A) 44  B) 99  C) 88  D) 77  E) 21

Solution: :   Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 190= 
360 + 190 = 550
550 m   Required time= 550 * 2/25= 
550 * 2/25 = 44
44 sec   44nswer:44
Answer: A
A Man can row upstream at 75kmph and downward stream at 47 kmph. Find Man's rate of the current Choose the correct option.
A) 87km/hr	B) 20km/hr	C) 65km/hr	D) 28km/hr	E) 14km/hr

Solution: Rate of the current=1/2(75-47)km/hr   =14km/hr   correct option is :14km/hr
Answer: E
If it is assumed that 80 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed? Choose the correct option:	A) 375	B) 420	C) 480	D) 500	E) 600

Solution: Minimum no of mail to be sent for getting 300 responses at 80%   = 300/0.8= 
300/0.8 = 375
375   Option 375
Answer: A