MU-NLPC/Calc-aqua_rat huggingface dataset:
Two vessels contains equal number of mixtures milk and water in the ratio 5:3 and 6:2. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained? Choose the correct option:
A) 11:5	B) 9:13	C) 5:11	D) 11:3	E) 15:4

Solution: The ratio of milk and water in the new vessel is = (5/8 + 6/8) : (3/8 + 2/8)   = 11/8 : 5/8 = 11:5   11:5nswer is 11:5
Answer: A
Rita can knit a pair of socks in 3 days. Sita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks. Select.
A) 4 B) 1 C) 2 D) 5 E) 6

Solution: 1 /3+ 1/6 = 1 /2 Together they will take, 1/ 1/2 = 2   Answer: 2.
Answer: C
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choose the correct choice from the following answers:
A) 1/37
B) 1/36
C) 1/39
D) 1/34
E) 1/28

Solution: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216=1/36   Answer: 1/36
Answer: B
Running 3/4th of his usual rate, a man is 10min late. Find his usual time in hours ?
Pick one.
A) 6/4 hrs  B) 3/4 hrs  C) 9/4 hrs  D) 3/4 hrs  E) 1/2 hrs

Solution: Explanation:   Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 15min   or usual time = 3 x 10 = 30min = 30/60 hrs = 1/2 hrs.   Answer: 1/2 hrs
Answer: E
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?	Pick one
A) 482	B) 725	C) 992	D) 837	E) 923

Solution: 20000(11/10)4 - 20000(6/5)2 = 482   482nswer:482
Answer: A
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choose the correct choice from the following answers:
A) 188	B) 270	C) 288	D) 266	E) 128

Solution: I = (500*9*6)/100= 
(500*9*6)/100 = 270
270.Answer: 270
Answer: B
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the following must be a prime number?
g(11) + 2; g(11) + 3; g(11) + 4; and g(11) + 5	Choose the correct choice from the following choices.
A) 1	B) 2	C) 3	D) 4	E) none

Solution: g(11) is the product of all integers from 1 to 11, so g(11) = 11!   Thus g(11) is a multiple of all the integers from 1 to 11.   Then g(11) is a multiple of 2, 3, 4, and 5.   2 divides g(11)+2   3 divides g(11)+3   4 divides g(11)+4   5 divides g(11)+5   The answer is none.
Answer: E
If (m-8) is a factor of m^2-hm-24, then h=	Choose the correct choice from the following choices
A) 3  B) 5  C) 6  D) 11  E) 16

Solution: (m-8)(m-a)=m^2-hm-24   A=-3   h=8+a=5=5
Answer: B
A man can row downstream at the rate of 32 Kmph and upstream at 8 Kmph. Find the man’s rate in still water and rate of current?
Answers:
A) 20 Kmph, 10 Kmph	B) 12 Kmph, 22 Kmph	C) 22 Kmph, 12 Kmph	D) 20 Kmph, 12 Kmph	E) None of these

Solution: Explanation:   Rate of still water = 1/2 (down stream + upstream)   = 1/2 (32 + 8) = 20 Kmph   Rate of current = 1/2 (down stream - upstream)   = 1/2 (32 - 8)   = 1/2 (24)   = 12 kmph   Answer: Option 20 Kmph, 12 Kmph
Answer: D
Find the odd man out. 1, 5, 11, 17, 23, 29 Choose the correct choice from the following choices:
A) 29
B) 11
C) 17
D) 1
E) 23

Solution: Explanation :   All given numbers except 1 are prime numbers.   One is not a prime number because it does not have two factors. It is divisible by only 1   Answer : Option 1
Answer: D
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?	Choose one
A) 118 min
B) 10 min
C) 18 min
D) 16 min
E) 15 min

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = 9/54 * 60= 
9/54 * 60 = 10
10 min.   Answer:10 min
Answer: B
Bradley owns b video game cartridges. If Bradley’s total is one-sixth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b? Choose the correct choice from the following choices
A) 23b / 4
B) 25b / 4
C) 27b / 4
D) 29b / 4
E) 31b / 4

Solution: b = Bradley’s total   6b = Andrew’s total   b/4 = Charlie’s total   The total number of cartridges is:   b + 6b+ b/4 = (4b + 24b + b) / 4 = 29b / 4   The answer is 29b / 4.
Answer: D
Find large number from below question The difference of two numbers is 750. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choose the correct option
A) 1345	B) 1250	C) 897	D) 900	E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 750 = 6x + 15   5x = 735   x = 147   Large number = 147+1365 = 897   897
Answer: C
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?	Choose the correct choice from the following answers.
A) 16 2/3%	B) 16 2/7%	C) 16 7/3%	D) 18 2/3%	E) 11 2/3%

Solution: 15 CP = 18 SP   18 --- 3 CP loss   100 --- ? => 16 2/3% loss   16 2/3%nswer: 16 2/3%
Answer: A
A candidate got 35% of the votes polled and he lost to his rival by 2340 votes. How many votes were cast?  Choose the correct option
A) 7500	B) 3388	C) 2665	D) 7800	E) 2661

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2340   100%---------? => 7800   Answer: 7800
Answer: D
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 3 and that the product of the given number and the sum of its digits is equal to 324, then the number is:
Options:
A) 12
B) 14
C) 23
D) 25
E) 36

Solution: Let the ten's digit be x. Then, unit's digit = x + 3. Number = 10x + (x + 3) = 11x + 3   Sum of digits = x + (x + 3) = 2x + 3   (11x + 3)(2x + 3) = 324   22(x)(x) + 39x - 315 = 0   (x - 3)(22x + 105) = 0   x = 3   Hence, required number = 11x + 3 = 36.   ANSW36R:36
Answer: E
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Pick one.
A) 33
B) 35
C) 28
D) 220
E) 21

Solution: Explanation:   Excluded number = (27 x 5) - (25 x 4) = 135 - 100= 
135 - 100 = 35
35.   Answer: 35
Answer: B
A 9 by 12 rectangle is inscribed in circle. What is the circumference of the circle?	Options
A) 2.5π  B) 5π  C) 10π  D) 12.5π  E) 15π

Solution: The diagonal of the rectangle will be the diameter of the circle.   and perimeter= 2*pi*r   Ans: 15π
Answer: E
Find 18/6*4 Choices.
A) 1.25
B) 4.53
C) 2.69
D) 0.89
E) 0.75

Solution: Answer=18/6*4   =18/24= 
18/24 = 3/4 = around 0.75
0.75   Option 0.75 is correct
Answer: E
If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1, then what is the value of abc/def ?  Select:
A) 27/4
B) 27/8
C) 3/4
D) 3/2
E) 1/4

Solution: Say a = 2. Then:   a/b = 1/3 --> b = 6;   b/c = 2 --> c = 3;   c/d = 1/2 --> d = 6;   d/e = 3 --> e = 2;   e/f = 1 --> f = 2.   abc/def = (2*6*3)/(6*2*2) = 3/2.   Answer: 3/2.
Answer: D
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Choose the correct choice from the following answers.
A) 12809  B) 12800  C) 12807  D) 12802  E) 12801

Solution: 16*8: x*4 = 5:2   x = 12.8 => Rs.12800   Answer: 12800
Answer: B
A train crosses a platform of 250 m in 20 sec, same train crosses another platform of length 640m in 40 sec. then find the length of the train? Choose the correct choice
A) 150m B) 180m C) 152m D) 140m E) 160m

Solution: Length of the train be ‘X’   X + 250/20= X + 640/40   2X + 500 = X + 640   X = 140m   Answer:140m
Answer: D
A train passes a station platform in 25 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 72 km/hr, what is the length of the platform? Answers
A) 220 B) 240 C) 260 D) 280 E) 300

Solution: The speed of the train is 72 * 5/18 m/s = 20 m/s   The length of the train is 20 x 12 = 240 m   platform + 240 = 20 * 25= 
20 * 25 = 500
500 - 240= 
500 - 240 = 260
260   The answer is 260.
Answer: C
In Gabriel's sheep herd, every sheep has either fleas or lice or both. Half of the sheep have lice, and 84 sheep have both pests. If 94 sheep have lice, how many sheep have only fleas?	Choose the most appropriate option:	A) 10	B) 20	C) 84	D) 94	E) 178

Solution: n(Lice) = n(Only lice) + n(Both lice and fleas)   n(Both lice and fleas) = 84   n(Lice) = 94   n(Only lice) = 94-84= 
94-84 = 10
10   Since, it is also said that exactly half the sheep have lice, it can be inferred that half the number of sheep is 94.   Therefore, the total number of sheep having only fleas is 10   10NS:(Option 10)
Answer: A
A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?	Pick:
A) 5
B) 6
C) 7.5
D) 8
E) 9

Solution: US = 20   DS = 35   M = (35 - 20)/2= 
(35 - 20)/2 = 15/2 = around 7.5
7.5   Answer: 7.5
Answer: C
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 10 percent of the cost of the tomatoes.  Choose the correct choice from the following.
A) $0.94  B) $0.96  C) $0.98  D) $1.00  E) $1.20

Solution: Assume the manager bought 100 tomatoes.   $0.98ost Price = 80   Given: 10% are damaged --> Available tomatoes to sell = 90   90 * x - 80 = 0.1 * 80   90x - 80 = 8   90x = 88   x = 88/90 = 44/45 = 0.977   x is slightly under 0.977= 0.98   Answer: $0.98
Answer: C
A can do a piece of work in 14 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?	Pick one:
A) 18
B) 77
C) 66
D) 55
E) 14

Solution: 8/14 + 6/x = 1   X = 14 days   Answer:14
Answer: E
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 6, the dividend is:
Select.
A) 92 B) 94 C) 96 D) 98 E) 100

Solution: Divisor = (5 * 6)= 
(5 * 6) = 30
30= 10 * Quotient = Divisor   => Quotient = 30/10= 
30/10 = 3
3   Dividend= (Divisor * Quotient) + Remainder   Dividend = (30 * 3) + 6= 
(30 * 3) + 6 = 96
96.   96
Answer: C
Two pipes A and B can fill a cistern in 10 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?  Pick.
A) 19 1/7 min	B) 15 1/7 min	C) 17 1/7 min	D) 9.2 min	E) 7 2/7 min

Solution: 1/10 + 1/30 - 1/40 = 13/120   120/13 = 9.2   ANSWER:9.2 min
Answer: D
20 people went to a hotel for combine dinner party 12 of them spent Rs. 70 each on their dinner and rest spent 4 more than the average expenditure of all the 20. What was the total money spent by them.	Select:  A) 1628.4  B) 1534  C) 1453  D) 1496  E) None of these

Solution: Solution: Let average expenditure of 20 people be x.   then,   20x = 12*70+8*(x+4);   Or, 20x = 12*70+8x+32;   Or, x = 72.667;   So, total money spent = 72.67*20 = Rs. 1453.4.   Answer: Option 1453
Answer: C
Calculate the rate on a principal of Rs.1500 which yields a simple interest of Rs. 220.50 in 3 Years? Choose the correct choice from the following answers:  A) 6.9%  B) 2.9%  C) 9.9%  D) 5.9%  E) 4.9%

Solution: 220.50 = (1500*3*R)/100   R = 4.9%   Answer: 4.9%
Answer: E
A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?
Options.
A) 20 min past 8pm on wednesday B) 20 min past 7pm on wednesday C) 20 min past 6pm on wednesday D) 20 min past 2pm on wednesday E) 20 min past 4pm on wednesday

Solution: This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains min in a time of (7×24)+12 = 180 hours.   To show the correct tine, it has to gain 5 min.   So the correct time will be shown on wednesdy at 7:20 PM   Answer: 20 min past 7pm on wednesday) 20 min past 7pm on wednesday
Answer: B
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choose the correct choice from the following answers:
A) 28 B) 68 C) 92 D) 66 E) 21

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer:68
Answer: B
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?	Choose one:
A) Rs.10,569  B) Rs.10,588  C) Rs.10,560  D) Rs.10,991  E) Rs.10,511

Solution: Let the rate of interest be R% p.a.   4400{[1 + R/100]2 - 1} = 11193.60   [1 + R/100]2 = (44000 + 11193.60)/44000   [1 + R/100]2 = 1 + 2544/1000 = 1 + 159/625   [1 + R/100]2 = 784/625 = (28/25)2   1 + R/100 = 28/25   R/100 = 3/25   Therefore R = 12 SI on Rs.44000 at 12% p.a. for two years = 44000(2)(12)/100   =Rs.10560   Answer:Rs.10,560
Answer: C
How many of the integers between 15 and 55 are even ?	Choose the correct choice from the following answers
A) 21 B) 20 C) 11 D) 10 E) 9

Solution: Number start between 15 to 55 is 40 numbers   half of them is even..which is 20   ANSWER:20
Answer: B
The LCM of two numbers is 2310 and HCF is 83. If one of the numbers is 210. Then what is the other number ? Choose the correct choice from the following.
A) 913	B) 825	C) 330	D) 582	E) 465

Solution: First number * Second Number = LCM * HCF   Other number = 2310 * 83 / 210 = 11*83= 
11*83 = 913
913   913NSWER :913
Answer: A
A team of 6 cooks is chosen from 8 men and 4 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?  Choose the correct choice from the following:
A) 140  B) 252  C) 560  D) 700  E) 840

Solution: Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 8C2 * 4C4 =28*1= 
28*1 = 28
28   Possible ways to make a team of 3M,3W= 8C3* 4C3 = 56*4= 
56*4 = 224
224   Total possible ways= 28+224= 
28+224 = 252
252   Ans 252 it is.
Answer: B
Insert the missing number
2, 4, 8, 16, 32, ..., 128, 256	Choose the most appropriate option
A) 46  B) 65  C) 64  D) 63  E) 68

Solution: series is 2* Previous Number.   ANSWER:64
Answer: C
Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is : Choices:
A) 15% B) 25% C) 0.125% D) 0.2083% E) none

Solution: Only trick n this question is to ignore 50% information as farm tax is levied uniformly in the village and that includes Mr William's land.   What percentage of tax Mr William paid ? This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.   But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/50) = 25% and the answer is not there in the options.   The correct answer is (25%).
Answer: B
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 9 o'clock in the morning? Choices
A) 30  B) 60  C) 90  D) 120  E) 150

Solution: The hour hand will move 1/12 of a circle.   (1/12)*360= 
(1/12)*360 = 30
30 degrees.   The answer is 30.
Answer: A
A can complete a certain job in 19 days. B is 90% more efficient than A. In how many days can B complete the same job?	Choose the correct choice from the following:
A) 6
B) 6.25
C) 7
D) 7.5
E) 10

Solution: Let, Total Work Unit = 190 Units   A can finish in 19 days = 190 unit work   i.e. A can finish in 1 days = 10 unit work   i.e. B can finish in 1 days = 10+(90/100)*10= 
10+(90/100)*10 = 19
19 unit work   Days in which B will complete the work alone= 190/19= 
190/19 = 10
10 days   Answer: Option 10
Answer: E
A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in ------- days? Choose the correct choice from the following:
A) 15 days
B) 13 days
C) 22 days
D) 11 days
E) 19 days

Solution: 15 days   1/12 + 1/20 = 2/15   15/2 *2= 
15/2 *2 = 15
15 days
Answer: A
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning. Choose the correct option
A) 26	B) 39	C) 42	D) 56	E) 82

Solution: Let the average after 17th inning = x   Then, average after 16th inning = x-3   16(x-3)+87 = 17x   x = 87-48= 
87-48 = 39
39   Answer is 39
Answer: B
Integer X represents the product of all integers between 1 to 29 (inclusive). The smallest prime factor of (x+1) must be Choose the correct choice from the following answers:
A) Between 1 to 10
B) Between 11 to 15
C) Between 15 to 20
D) Between 20 to 29
E) Greater than 29

Solution: Answer = E = Greater than 29   This problem is asking smallest prime factor of (25!+1)   29! already have there prime factors 2,3,5,7,11,13.......... so on upto 29 (1 cannot be considered prime factor)   Just adding 1 to 29! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 29   Answer = Greater than 29
Answer: E
In a theater, the first row has 17 seats and each row has 3 more seats than previous row. If the last row has 44 seats, what is the total number of seats in the theater?	Choose the correct choice from the following.
A) 265  B) 275  C) 285  D) 295  E) 305

Solution: The number of seats in the theater is   17 + (17+3) + ...+ (17+27)=   10(17) + 3(1+2+...+9)=   10(17) + 3(9)(10)/2= 170 + 135= 
170 + 135 = 305
305   The answer is 305.
Answer: E
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 15 metres?	Choose the most appropriate option: A) 5 B) 10 C) 3 D) 12 E) 6

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 15/5= 
15/5 = 3
3 seconds.   Answer: 3
Answer: C
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?  Choose the most appropriate option:
A) 34
B) 28
C) 27
D) 23
E) 27

Solution: M + Tu + W + Th = 4 * 48= 
4 * 48 = 192
192   Tu + W + Th + F= 4 * 46= 
4 * 46 = 184
184   M= 42   Tu + W + Th = 192 -42= 
192 -42 = 150
150   F= 184 – 150   = 34   Answer: 23
Answer: D
If A = {9, 17, 25, 28, 29, 30}, how much less is the mean of the numbers in A than the median of the numbers in S?  Pick one.
A) 1.0 B) 9.6 C) 3.5 D) 3.2 E) 5.1

Solution: This is a good question to understand the difference between mean and median.   Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)   Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median   3.5oming to this question,   Mean = (9 + 17 + 25 + 28 + 29 + 30)/6= 
(9 + 17 + 25 + 28 + 29 + 30)/6 = 23
23   Median= (25 + 28)/2= 
(25 + 28)/2 = 53/2 = around 26.5
26.5   Difference= 3.5   Option 3.5
Answer: C
A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?  Choose the correct choice:  A) 7  B) 9  C) 4  D) 5  E) 2

Solution: Explanation:   The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.   This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.   Answer: 9) 9
Answer: B
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 768 as interest at the end of the loan period, what was the rate of interest?	Choices:  A) 3.6  B) 6  C) 8  D) 24  E) None of these

Solution: Let rate = R% and time = R years.   Then, (1200 x R x R)/100 = 768   12R2 = 768   R2 = 64   R = 8.   Answer: Option 8
Answer: C
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 13?	Select
A) 3	B) 4	C) 5	D) 8	E) 7

Solution: i'm not sure i got the question right, if it is what i think it is, then 8 should be the right answer   0,1,2,3,4,5, will not have 2 slip sum of 13 add another (either 6,7,8 or 9) and we'll have a pair with sum 13   Ans:8
Answer: D
Find the average of first 32 natural numbers.
Choices.
A) A)12.6
B) B)16.5
C) C)15.9
D) D)17.5
E) E)20.6

Solution: Sum of first n natural numbers = n(n+1)/2   sum of first 32 natural numbers = 32*33/2= 
32*33/2 = 528
528   average= 528/32= 
528/32 = 33/2 = around 16.5
16.5   Answer is 16.5
Answer: B
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 80 kmph. When and at what distance from Mumbai do the two trains meet? Select
A) 87 B) 279 C) 80 D) 278 E) 379

Solution: When the second train leaves Mumbai the first train covers 40 * 1= 
40 * 1 = 40
40 km   So, the distance between first train and second train is 40 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 40 / (80 -40)= 
40 / (80 -40) = 1
1 hours   So, the two trains meet at 11 a.m. The two trains meet 1 * 80= 
1 * 80 = 80
80 km away from Mumbai.   Answer:80
Answer: C
A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern ?
Choose the correct answer:
A) 10 min
B) 12 min
C) 15 min
D) 9 min
E) None of these

Solution: Work done by the waste pipe in 1 minutes   = 1⁄20 - (1⁄12 + 1⁄15) = -1⁄10 [-ve sign means emptying]   ∴ Waste pipe will empty the full cistern in 10 minutes.   10 minnswer 10 min
Answer: A
The present worth of Rs.1014 due in 2 years at 4% per annum compound interest is Pick one: A) Rs.150.50 B) Rs.937.5 C) Rs.156.25 D) Rs.158 E) None

Solution: Solution   Present Worth	= Rs.[1014/(1+4/100)²]   = Rs.(1014x25/26x25/26)   = Rs.937.5   Answer Rs.937.5
Answer: B
emblem is coded as 216;
crude is coded as 125
parakeets will be ?  Choose the correct choice from the following answers:
A) 243	B) 866	C) 729	D) 456	E) 683

Solution: coding follows (no. of letters)^3   emblem = 216 = 6^3   crude = 125 = 5^3   parakeets= 9^3 =729   ANSWER:729
Answer: C
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choose the correct choice from the following answers.
A) 30 B) 90 C) 240 D) 480 E) 960

Solution: Total # of outfits = 12 * 10 * 8= 
12 * 10 * 8 = 960
960   Answer - 960
Answer: E
John buys 100 shares of par value Rs. 5 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
Choose the correct answer:
A) 2 B) 4 C) 5 D) 6 E) 8

Solution: Face value of each share = Rs.5   Total dividend received by John = 100×5×12/100 = Rs.60   Let market value of 100 shares = Rs.x   x×10/100=60   x = 600   ie, Market value of 100 shares = Rs.600   Hence, Market value of each share = Rs.6   Answer is 6.
Answer: D