MU-NLPC/Calc-aqua_rat huggingface dataset:
Salaries of Prasanna and Sathish are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sathish's present salary?	Choose the correct answer:	A) Rs. 15000	B) Rs. 18000	C) Rs. 38000	D) Rs. 43000	E) None

Solution: Sol.   Let the original salaries of Prasanna and Sathish be Rs. 2x and   Rs. 3x respectively. Then,   2x + 4000 / 3x + 4000 = 40/57   ⇔ 57(2x + 4000) = 40(3x + 4000)   ⇔ 6x = 68000   ⇔ 3x = 34000.   Sathish's present salary = (3x + 4000) = (34000 + 4000) = Rs.38000.   Answer Rs. 38000
Answer: C
An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?  Choices: A) 1 B) 4 C) 2/3 D) 1/4 E) 1/2

Solution: Total numbers in a die=6   P(multiple of 3) = 2/6 = 1/3   P(multiple of 4) = 1/6   P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2   ANSW1/2R:1/2
Answer: E
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?  Choose the most appropriate option
A) 1268	B) 1000	C) 1786	D) 1778	E) 2212

Solution: X * (110/100) * (95/100) = 1045   X * (11/10) * (1/100) = 11   X = 1000   Answer: 1000
Answer: B
Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 10 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?	Pick one.
A) $1500	B) $1720	C) $1600	D) $1300	E) $1160

Solution: Total tax for the year = 22,500 x 10% = 2250   As stated Annual tax is prorated as per the duration of stay.   Prorated Tax = 900 (8/12) = 1500   $1500nswer $1500
Answer: A
The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the correct choice
A) 21	B) 67	C) 18	D) 25	E) 23

Solution: 1 to 11 = 11 * 49= 
11 * 49 = 539
539   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 â€“ 539 = 67   Answer:67
Answer: B
The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?  Choose one:
A) 1: 8  B) 4:9  C) 1: 9  D) 1: 3  E) 1: 2

Solution: r1: r2 = 2: 3   Πr12: Πr22   r12: r22 = 4: 9   Answer:4:9
Answer: B
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of c crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of c?
Select: A) x/2 B) x C) 3x/2 D) 2x E) 3x

Solution: Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips.   Thus total crumbs carried by Arthur (c) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so 3x
Answer: E
Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju  Choose the correct choice from the following choices
A) 15 B) 14 C) 10 D) 8 E) 9

Solution: Explanation:   10learly,   x+15 = 5(x-5)   <=> 4x = 40 => x = 10   Option 10
Answer: C
A car is running at a speed of 60kmph. What distance will it cover in 8sec?	Answers.
A) 100m
B) 136m
C) 180m
D) 200m
E) 250m

Solution: Speed = 60kmph = 60*5/18 = 17 m/s   Distance covered in 8sec = 17*8= 
17*8 = 136
136m   Answer is 136m
Answer: B
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $9.00?
Options.
A) 40	B) 60	C) 90	D) 120	E) 108

Solution: Cost price of 1 pound of bananas = 0.5/3 = 1/6   Selling price of 1 pound of bananas = 1/4   Profit per pound = (1/4 - 1/6) = (1/12)   Total profit is given as 9   (1/12)*x = 9   x = 108   Answer: 108
Answer: E
Look at this series: 32, 31, 33, 32, 34, 33, ... What number should come next? Choose the correct choice:
A) 38  B) 32  C) 35  D) 36  E) 31

Solution: Here we alternatively subtracted 1 and added 2 then subtracted 1 and added 2 and so on..   The answer is option 35 (35)
Answer: C
This year, MBB Consulting fired 8% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction? Options
A) 98.5%	B) 101.2%	C) 102.8%	D) 104.5%	E) 105.0%

Solution: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000   8% reduction in employees lead to 92 employees and a salary increase of 10% of previous avg salary   Thus the new avg salary is = 10%(1000)+1000 = 1100   so total salary of 92 employees is   92*1100= 
  92*1100 = 101_200
101200   Now the new salary is more than previous salary by x%. x= (101200/100000)*100= 
(101200/100000)*100 = 506/5 = around 101.2
101.2%   So the Answer is 101.2%
Answer: B
If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
Choose the correct choice from the following answers.
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Solution: Factors of 30 are 1,2,3,6,5,10,15,30.   for options 1) & 3) consider a=2 and b=1 we find then 3 ,which is a factor   but for option 2) any values doesn't melts to any factor.   eg:-if we put a=3 and b=1 then (a+b)^2 =16 which is not a factor of 30   ANSWER:II only
Answer: B
Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 10 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?	Choices:
A) 37.5 kilometers per hour  B) 48 kilometers per hour  C) 50 kilometers per hour  D) 75 kilometers per hour  E) 100 kilometers per hour

Solution: Time taken to reach first 40 km is 40/60 = 2/3 hr   Time taken to reach next 40 km is 40/60 = 2/3 hr   Time taken to reach next 20 km is 20/60 = 1/3 hr   Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...   Each stop was of 10 min , so two 10min break = 2*1/6 => 1/3 hr   Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+1/3 ) = 6/3= 
6/3 = 2
> 2 hrs   So, Average speed is 100/2= 
100/2 = 50
50km/hour   Answer will be (50 kilometers per hour) 50
Answer: C
The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 2: 15. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is Pick:
A) 20 kg
B) 6.625 kg
C) 6.25 kg
D) 6.35 kg
E) 6.55 kg

Solution: sodium chloride in 100 kg = 2/17 x 100 = 11.76 kg   ammonium in 100 kg = 15/17 x 100 = 88.23 kg   Now 88.23 is 25 parts out of   (25 + 9)= 
  (25 + 9) = 34
34 parts.   Hence 9 parts= 9/25 x 88.23= 31.76   20 kgmount to be added = 31.76 - 11.76= 
31.76 - 11.76 = 20
20 Kg   20 kgNSWER:20 kg
Answer: A
If c+5/d is a prime integer, which of the following must be true?
1.d=5c
2. d is a prime integer
3. c+5/d is ODD. Choices
A) None B) 1 only C) 2 only D) 1 and 2 only E) 2 and 3 only.

Solution: I would pick up numbers and do .   i hope the question is (c+5)/d....   let c = 3 , d = 4   3+5/4 = 2 = Prime   1. d is not equal to 5c   2.d is not a prime number   3. (c+5)/y is not odd.   hence None
Answer: A
If 1400*xy=1050. Then what is the value of xy=?
Choose the correct choice from the following:  A) 1/5  B) 2/5  C) 3/4  D) 3/7  E) 4/7

Solution: 1400 x xy = 1050 xy =	1050	=	3/4   1400   3/4
Answer: C
Which of the following are divisible by both 2 and 3?
I. 234,124,429
II. 88,865,544,264
III. 5,555,554,673 Choose the correct choice from the following.
A) I​I only  B) I and II​  C) II and III  D) II Only  E) I​ and III

Solution: III & I. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D   Among option I and II lets check the divisibility of 3   II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3   Thus among the given options only (A) holds true.   I​I onlynswer: I​I only
Answer: A
How many words with or without meaning, can be formed by using all the letters of the word, â€˜COMPUTERâ€™, using each letter exactly once?	Select
A) 43232
B) 40320
C) 43332
D) 89000
E) 46780

Solution: The word â€˜COMPUTERâ€™ contains 8 different letters.   Therefore, Required number of words= Number of arrangement of 8 letters, taken all at a time   =8P8   = 8!   = 8*7*6*5*4*3*2*1= 
8*7*6*5*4*3*2*1 = 40_320
40320   ANSWER:40320
Answer: B
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . How many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference? Select the correct option:
A) 10 feet	B) 12 feet	C) 13 feet	D) 15 feet	E) 18 feet

Solution: total circuit=25/5= 
25/5 = 5
5   total feet squirrel travels=5*3= 
5*3 = 15
15 feet   ANSWER:15 feet
Answer: D
5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Choose the correct choice from the following options:
A) 1:2
B) 1:5
C) 2:3
D) 3:2
E) None of these

Solution: Explanation:   (5 Ã— 2) women can complete the work in 1 day.   âˆ´ 1 woman's 1 day's work = 1/10   (10 Ã— 5) men can complete the work in 1 day.   âˆ´ 1 man's 1 day's work = 1/50   so, required ratio =1/10 : 1/50= 1:5   Answer: 1:5
Answer: B
The average of 25 results is 45. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Pick one:	A) 740	B) 750	C) 690	D) 780	E) 708

Solution: Solution: Sum of 1st 12 results = 12*14   Sum of last 12 results = 12*17   13th result = x (let)   Now,   12*14+12*17+x = 25*45   Or, x = 708.   Answer: Option 708
Answer: E
There are 16 students in a class. On the day the test was given, Bob was absent. The other 15 students took the test and their average was 77. The next day, Bob took the test, and with this grade included, the new average was 78. What was Bob's grade on the test?	Choose the correct choice from the following answers
A) 92
B) 93
C) 94
D) 95
E) 96

Solution: 15*77+Bob's grade=16*78   Alice's grade is   16*78-15*77= 
  16*78-15*77 = 93
93.   The answer is 93.
Answer: B
Subtracting 6% of A from A is equivalent to multiplying A by how much ? Choose the correct choice from the following options
A) 0.94
B) 9.4
C) 0.094
D) 94
E) None

Solution: Answer   Let A - 6% of A = AB.   ⇒ (94 x 0.94) / 100 = 0.94B   ∴ B = 0.94   Correct Option: 0.94
Answer: A
{3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x	Select
A) 16/5, 28/3 B) 4, 16/5 C) 4, 16/5, 28/3 D) 4, 28/3 E) 3, 4, 5

Solution: The set can have the following forms:   1. {3,5,8,x} , range = x-3 and mean = 4+x/4, x = 28/3   2. {3,5,x,8} , range = 5 and mean = 4+x/4, x=4   3. {3,x,5,8} , range = 5 and mean = 4+x/4, x=4   4. {x,3,5,8} , range = 8-x and mean = 4+x/4, x=16/5. But as x<3 (assumed here), x=3.2 can not be true. Hence reject this case.   Thus the possible values are 4 and 28/3.   4, 28/3 is the correct answer.
Answer: D
How many cubes will remain if the cubes having black and green coloured are removed ?
Choices
A) 16  B) 15  C) 8  D) 12  E) 10

Solution: Number of small cubes which are Black and Green is 8 in all.   Hence, the number of remaining cubes are = 24 - 8= 
24 - 8 = 16
16   16NSWER 16
Answer: A
The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:	Select the correct option.
A) –7
B) 8
C) 10
D) 12
E) 14

Solution: x^2 - 4x + 6 = |x-4|   RHS can be -ve or +ve   x^2 - 5x + 10 = 0   x^2 - 3x + 2 = 0   x= 5,2,1   We test all 3 values in original equation, all ok.   Thus, Sum = 5 + 2 +1= 
5 + 2 +1 = 8
8   Ans (8)
Answer: B
Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 47.5km apart?	Choose the correct choice from the following answers.
A) 1 1/4 hours	B) 2 1/3 hours	C) 4hours	D) 3 3/4 hours	E) 6hours

Solution: To be (18+20) km apart, they take 1 hour   To be 47.5 km apart, they take 1/38 * 47.5 = 1 1/4 hrs   1 1/4 hoursnswer is 1 1/4 hours
Answer: A
A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?  Choose the correct option:
A) $18,400
B) $19,500
C) $20,200
D) $20,400
E) $21,100

Solution: Important point to notice- 2.5% decrease from the original price   2.5% of 22,000= 550   Total reduction in 6 years= 550*6= 
550*6 = 3_300
3300   Final price= 22,000 +1500 - 3300= 20,200   $20,200 is the answer
Answer: C
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?	Answers:
A) 6 hrs 21 minute B) 6 hrs 71 min C) 6 hrs 28 min D) 6 hrs 21 min E) 2 hrs 21 min

Solution: Time taken to cover 600 km = 600/100= 
600/100 = 6
6 hrs.   Number of stoppages= 600/75 - 1= 
600/75 - 1 = 7
7   Total time of stoppages= 3 * 7= 
3 * 7 = 21
21 min   Hence, total time taken= 6 hrs 21 min.   6 hrs 21 minutenswer: 6 hrs 21 minute
Answer: A
A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ? Choose one.
A) 22	B) 23	C) 25	D) 35	E) 36

Solution: Explanation:   Clearly, we have :   B-3 = E ...(i)   B + 3 = D ...(ii)   A+B = D + E+10 ...(iii)   B = C + 2 ...(iv)   A+B + C + D + E= 133 ...(v)   From (i) and (ii), we have : 2 B = D + E ...(vi)   From (iii) and (vi), we have : A = B + 10 ...(vii)   Using (iv), (vi) and (vii) in (v), we get:   (B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.   Answer: 25
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice.
A) 388 B) 240 C) 88 D) 66 E) 221

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer:240
Answer: B
Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?	Pick one:  A) 5  B) 15  C) 55  D) 95  E) 6

Solution: P makes x sprockets per hour.   Then Q makes 1.1x sprockets per hour.   660/x = 660/1.1x + 10   1.1(660) = 660 + 11x   11x = 66   x = 6   The answer is 6.
Answer: E
A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in? Choose the correct choice from the following.
A) 6 hours	B) 8 hours	C) 9 hours	D) 10 hours	E) 12 hours

Solution: The pump can fill the tank in 2 hour. But, because of the leak, it took 8/3 hours to fill the tank.   i.e., the additional water filled by the pump in 2/3 hour is emptied by the leak in 8/3 hours.   Therefore, the water filled by pump in 2 bour can be emptied by the leak in (8/3)*3= 
(8/3)*3 = 8
8 hours.   i.e., The leak can drain all the water of the tank in 8 hours.   ANSWER:8 hours
Answer: B
What digit appears in the units place in the number obtained when 2^320 is multiplied out?
Choose the correct option
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: 2^320=2^4K   put k=1   last digit of 2^4=16   last digit6   Answer=> 6) 6
Answer: D
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 60 metres?
Choose the most appropriate option:  A) 33  B) 88  C) 66  D) 12  E) 99

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= 60/5= 
60/5 = 12
12 seconds.   Answer: 12
Answer: D
How many of the following numbers are divisible by 16 ?
264, 396, 462, 792, 968, 2178, 5184, 6336 Select:
A) 2 B) 4 C) 5 D) 6 E) 7

Solution: By using your calculator you can calculate that the following numbers are divisible by 16 : 5184, 6336   Required number of number = 2.   2
Answer: A
Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern? Choose the correct choice from the following options.
A) 90 min	B) 100 min	C) 110 min	D) 120 min	E) 130 min

Solution: 1/60-(1/60+1/120)=-1/120   third pipe can empty in 120 minutes   ANSWER:120 min
Answer: D
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference? Pick one:	A) 10 feet	B) 12 feet	C) 13 feet	D) 15 feet	E) 18 feet

Solution: total circuit=16/4= 
16/4 = 4
4   total feet squirrel travels=4*3= 
4*3 = 12
12 feet   ANSWER:12 feet
Answer: B
51 = 4a + 3b
5 > |–a|
If a and b are both integers, What is the highest values of ‘a’ that can be used to solve the above equation.	Choose the correct choice from the following answers
A) 1
B) 2
C) 3
D) -3
E) 0

Solution: Let us understand the meaning of 5 > |-a|   1) when we write |-x| this means the same as |x|.   2) Mod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |x-(a)| < b means the distance is between the two extreme distance(left and right side of 'a' on number line, considering the max distance is 'b' from 'a' - as per this scenario.....hence the value of 'a' must be between these two extremes. |x-(a)| > b means the distance is greater than the distance of 'b'..i.e the value of a could be anywhere more than 'b'.   Now come to the question. First its given|-a| < 5 ==> |a| < 5 ===> |a-0| < 5 ==> the distance from zero is less than 5. So the point will be -4,-3,-2,-1,0,1,2,3,4 as distance from 0 to these values is less than 5.   Now, lets move to equation 4a + 3b = 51 ==> b = 17 – (4 *(a/3)). According to question, b is an integer, hence to make b integer a must be divisible by 3. Now remove the value which can’t make a divisible by 3 from the possible values of a. It will remain with -3 and 3. Out of these two values 3 is higher and it which makes the value of b = (17 - (4 * (3/3)) = 17 - 4 ==> b = 13 (an integer). Hence the Answer is 3 (value 3).
Answer: C
Can you find the smallest non fractional number such that
If the number gets divided by 4 , we get the remainder of 1;
If the number gets divided by 5 , we get the remainder of 2
If the number gets divided by 6 , we get the remainder of 3;
If the number gets divided by 7, we get the remainder of 4.	Choose the correct choice:
A) 550 B) 418 C) 581 D) 443 E) 720

Solution: B.   418   As we know LCM of the numbers 4,5,6 & 7 is 420.   So if i divide 420 by any of the four number , it gives remainder as 0.   Now to get reminder as desired, is should be 2 short of 418. (3-1,4-2,5-3,6-4 )   ANS:option 418
Answer: B
Nathan,Fred, Alan, Becky and Allison are each
holding one of the following 4 cards. Nathan
and Alan both have Spades. Becky and Alan
both have the same number. Which one has the
9 of hearts?  Select the correct option.
A) Nathan  B) Fred  C) Alan  D) Becky  E) Allison

Solution: The clue “Becky has the same number card as Alan” tells us that Alan has a ‘7’   card.   The clue ‘Nathan and Alan both have spades’ leads us to the fact that Alan has a 7   of spades.   Thus the remaining spade card, ’10 of spades’, belongs to Nathan and the   remaining ‘7’: ‘7 of diamonds’, belongs to Becky. That leaves ‘9 of hearts’ to   Allison.   correct answer Allison
Answer: E
A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it? Pick one: A) 80 B) 100 C) 120 D) 140 E) 160

Solution: filling rate - leak rate = net rate   1/7.5 - leak rate = 1/8   leak rate = 2/15 - 1/8 = 1/120   The answer is 120.
Answer: C
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?	Pick:  A) 1500  B) 1800  C) 2100  D) 1950  E) 2200

Solution: P = 15(100/10)2 => P = 1500   1500NSWER:1500
Answer: A
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?  Choose the correct choice from the following options.
A) 4256
B) 5336
C) 6000
D) 3000
E) 4000

Solution: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?   A.	4236   B.	4306   C.	4336   D.	5336   E.	None of these   Answer: Option D   Explanation:   Divisor = (5 x 46) = 230   10 x Quotient = 230 =	230	= 23   10   Dividend = (Divisor x Quotient) + Remainder   = (230 x 23) + 46   = 5290 + 46= 
5290 + 46 = 5_336
5336.   ANSWER 5336
Answer: B
Five friends Adi, Brian, Close, Derek and Eli appeared in two aptitude tests. In the first aptitude test, Derek score 50% less than the average score of the five people. In the second aptitude test, Derek score 50% more than what he scored on the first aptitude test. If the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was Derek's score less than the average score of the 5 people in the second aptitude?  Choose the correct choice from the following answers
A) 25%	B) 28%	C) 33%	D) 40%	E) 50%

Solution: 25%verage score in first test be X   So derby score = 0.5X (first test)   Derby score =1.5(0.5X) ( second test) =.75X   So less than X by .25   25%nswer 25% 25%
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? Options:  A) 16 km/hr  B) 50 km/hr  C) 15 km/hr  D) 17 km/hr  E) 18 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer: 50 km/hr
Answer: B
Change the below lagarithm log255 = 1/2 to exponential form	Choose the correct choice from the following answers
A) 5 B) 8 C) 7 D) 10 E) 11

Solution: Solution:   log255 = 251/2 = 5   5NSWER IS 5
Answer: A
A train covers a distance of 12 km in 10 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?  Choose the correct choice from the following answers:
A) 298 m
B) 188 m
C) 120 m
D) 160 m
E) 189 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 8= 
20 * 8 = 160
160 m.   Answer:160 m
Answer: D
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? Choose the correct choice from the following:
A) 237788 B) 27667 C) 11760 D) 29877 E) 27781

Solution: Required number of ways =   Answer: 11760) 11760
Answer: C