MU-NLPC/Calc-aqua_rat huggingface dataset:
If 12 carpenters working 6 hours a day can make 460 chairs in 24 days, the no. of chairs made by 18 carpenters in 36 days each working 8 hours a day will be: Choose the correct option:
A) 1380
B) 920
C) 1320
D) 1260
E) None of these

Solution: Explanation :   no of work hour days by carpenters is 460/(12*6*24)   now no chair is  460*18*36*8/(12*6*24)= 
 460*18*36*8/(12*6*24) = 1_380
1380   1380nswer : 1380
Answer: A
A man has Rs. 448 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has? Choose the correct choice from the following answers
A) 45  B) 60  C) 75  D) 84  E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 448   16x = 448   x = 28.   Hence, total number of notes = 3x = 84   Answer: Option 84
Answer: D
Out of first 20 natural numbers , one number is selected at random. The probability that it is either an even number or a prime number is?  Choose the correct choice from the following options:	A) 17/65	B) 17/29	C) 17/21	D) P(EᴜP) =17/20	E) 17/212

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.Answer:P(EᴜP) =17/20
Answer: D
There are 9 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Pick one
A) 1296
B) 720
C) 1,060
D) 1,520
E) 1,980

Solution: Answer is E. Can somebody tell me what answer I may have found if I had added the 9C2 and 9C2 (36+36=72)?   I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?   1296
Answer: A
125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?  Choose the correct choice from the following options.
A) 12 liters  B) 32 liters  C) 41 liters  D) 50 liters  E) 34 liters

Solution: Milk = 3/5 * 125= 
3/5 * 125 = 75
75 liters   Water= 50 liters   75 : (50+P) = 3:4   150 + 3P = 400 => P = 50   50 liters of water are to be added for the ratio become 3:4.   Answer:50 liters
Answer: D
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Choices:
A) 8/38
B) 8/32
C) 8/35
D) 8/31
E) 6/38

Solution: Explanation:   P(A) = 2/5   P(B) = 4/7   E = {A and B both get selected}   P(E) = P(A)*P(B)   = 2/5 * 4/7   = 8/35   ANSWER: 8/35
Answer: C
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share.	Choose the correct choice from the following answers.
A) Rs. 3240	B) Rs. 2520	C) Rs. 2880	D) Rs. 3360	E) None of these

Solution: Explanation:   Let C's investment = Rs. x   B's investment = Rs. (x - 3000)   A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)   Now, (A + B + C)'s investment = Rs. 72000   => x + (x - 3000) + (x + 3000) = 72000   => 3x = 72000   => x = 24000   Hence, A's investment = Rs. 27000   B's investment = Rs. 21000   C's investment = Rs. 24000   Ratio of the capitals of A, B and C   = 27000 : 21000 : 24000   = 9 : 7 : 8   A's share = Rs. [(9/24) × 8640] = Rs. 3240   Rs. 3240nswer: Option Rs. 3240
Answer: A
P runs 25% faster than Q so P gives Q a ten meter head start. If the race ends in a tie, how far (in meters) did P run in the race?  Choose the most appropriate option.
A) 50
B) 60
C) 70
D) 80
E) 90

Solution: Let D be the race distance that P ran.   Let T be the time it took to complete the race.   Let V be Q's speed.   T = D/1.25V = (D-10) / V   D=1.25D-12.5   0.25D=12.5   D=50 meters.   The answer is 50.
Answer: A
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
Choices.
A) 28
B) 27
C) 12
D) 37
E) 01

Solution: Explanation:   16x + 85 = 17(x + 3)   x = 34 + 3= 
34 + 3 = 37
37   Answer: 37
Answer: D
Jim is now twice as old as Fred, who is nine years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?  Select
A) 40  B) 44  C) 48  D) 52  E) 56

Solution: J = 2F = 2(S+9) = 2S+18   J-4 = 4*(S-4)   (2S+18)-4 = 4S-16   S = 15 and so J = 48   The answer is 48.
Answer: C
If a = 0, b = 0, and (a^2)b = a, then which of the following MUST equal a? Choose the correct choice from the following answers.
A) 1/(b^2) B) 0 C) b D) b^2 E) b^2 – 2b +1

Solution: A=0   0=0   A^2b-A=0   A (Ab-1)=0   Since A =0 then   Ab-1=-1   Ab=0   Ans:0
Answer: B
What is the difference between local value & face value of 3 in the numeral 65793?
Choose the most appropriate option:  A) 8453  B) 8956  C) 8991  D) 0  E) 10000

Solution: (Local value of 3) - (Face value of 3)   = (3 - 3)= 
(3 - 3) = 0
0   0
Answer: D
If x and y are both odd prime numbers andx < y, then how many different positive integer factors does2xyhave? Choose the correct choice from the following options
A) 3  B) 4  C) 6  D) 12  E) 8

Solution: x and y are both odd prime numbers- It means either x or y is not 2   and since prime numbers have only two factors - 1 and the number itself   x and y each will have (1+1)= 
(1+1) = 2
2 factors   Hence 2xy will have (1+1)(1+1)(1+1)= 8 factors   8 is the answer
Answer: E
It takes 50 identical printing machines 8 hours to print 500,000 posters. How long would it take 40 of these machines to print the same total?  Choose the correct choice from the following:
A) 10 hr
B) 12 hr
C) 12 hr 24 min
D) 12 hr, 40 min
E) 13 hr, 20 min

Solution: 50 machines finish the job in 8 hours. We do not have to take care of the 500'000 posters, it does not matter.   40 machines means, 20% less of capacity and therefore 20% longer to work for a certain job.   8 * 1.2 = 9 hr, 36 min   Answer A	..   Hi reto,   since you are looking time for 40 machines it is 25% less so will take 25% more ..   ans  8*1.25= 
 8*1.25 = 10
10 hrs..   10 hr)
Answer: A
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 735, Krishan has ?  Choose the most appropriate option
A) s. 4335 B) s. 2330 C) s. 1190 D) s. 1620 E) s. 2680

Solution: Ram : Gopal = 7 : 17 = 49 : 119   Gopal : Krishan = 7 : 17 = 119 : 289   Ram : Gopal : Krishan = 49 : 119 : 289   Ram : Krishan = 49 : 289   Thus, 49 : 289 = 735 : N   &there N = 289 x 735 / 49   = Rs. 4335   s. 4335nswer :s. 4335
Answer: A
A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.  Choose the correct option.
A) 27 B) 36 C) 81 D) 72 E) 18

Solution: Let the ten's digit be x. Then, unit's digit = (9 - x).   Number = l0x + (9 - x) = 9x + 9.   Number obtained by reversing the digits = 10 (9 - x) + x = 90 - 9x.   therefore, (9x + 9) - 63 = 90 - 9x =>	18x = 144 =>	x = 8.   So, ten's digit = 8 and unit's digit = 1.   Hence, the required number is 81.   Answer is 81.
Answer: C
Renuka bought an electric cooker at 90% of the regular price. She paid $360 for the cooker. What was the regular price? Answers
A) $250  B) $400  C) $450  D) $550  E) $650

Solution: Regular price = 360/90*100= 
360/90*100 = 400
400   Answer : $400
Answer: B
The marks obtained by Vijay and Amith are in the ratio 2:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?	Choose the correct choice
A) 6:8 B) 3:1 C) 6:5 D) 3:2 E) 3:5

Solution: 2:5   3:2   -------   6:15:10   6:10   3:5   Answer: 3:5
Answer: E
Insert the missing number.
2, 6, 12, 20, 30, (....)	Pick
A) 22
B) 38
C) 42
D) 66
E) 19

Solution: Explanation:   The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6.   So, the next number is 6 x 7 = 42.   Answer: 42) 42
Answer: C
In a two digit number it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 208, What is the number ? Choose the correct choice from the following answers.
A) 24  B) 25  C) 26  D) 27  E) 28

Solution: xy is 2 digit no.   y-x=4;   (10x+y)*(2x+4)=208;   sub y=x+4;   we get 26   ANSWER:26
Answer: C
9x^2+3px+6q divided by 3x+1 leave reminder -3/4 and qx^2+4px+7 is exactly divisible by x+1, then find the values of p and Q
Choose the correct choice from the following options
A) 7/4,0  B) 8/4,0  C) 9/4,0  D) 7/4,1  E) 7/4,2

Solution: 1st quadration eqn gives remainder -3/4 on dividing by 3x+1.so, eqn-(-3/4) is divisible by 3x+1 means eqn+3/4 has a roo x=-1/3.so,on putting x=-1/3 in the 1st eqn,1-p+6q+3/4=0 that is 6q-p=-7/4.2nd quad eqn is divisible by x+1.so x=-1 is root of that eqn.on putting x=-1,eqn=0.so,   q-4p+7=0.on comparing two linear eqns in p and 2,we get p=7/4 and q=0.   7/4,0NSWER:7/4,0
Answer: A
A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Options:
A) s.156	B) s.226	C) s.300	D) s.356	E) s.410

Solution: Let the principal be Rs.P   S.I at 5% p.a in 2 years on Rs.P = Rs.200   (P)(2)(5)/100 = 200   P = 2000   C.I on Rs.2P i.e., Rs.4000 at 5% p.a in two years   =4000{ [1 + 5/100]^2 - 1}   = 4000(41/ 400)   = Rs.410   Answer:s.410
Answer: E
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?  Answers.
A) 360
B) 376
C) 299
D) 276
E) 111

Solution: 2(3x + x) = 80   l = 36 b = 10   lb = 36 * 10= 
36 * 10 = 360
360   360
Answer: A
Rs.240 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?	Select the correct option:
A) 388  B) 266  C) 120  D) 299  E) 180

Solution: 4x 5x 6x   100 50 25   400x + 250x + 150x = 24000   x = 30   6x = 180   Answer: 180
Answer: E
A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days?	Answers:	A) 3.75 days	B) 3.99 days	C) 2.99 days	D) 2.98 days	E) 2.25 days

Solution: 1/3 + 1/9 = 4/9   9/4= 
9/4 = 9/4 = around 2.25
2.25 days   Answer: 2.25 days
Answer: E
A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.
The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?
Choose the correct answer:  A) 2.1  B) 1.3  C) 5.1  D) 2.3  E) 1.1

Solution: E   1:1 (approx)   Explanation:   We know that the probability of having a boy or having a girl is same and thus, half of the couples will stop after having a boy child. Half of the others will have a girl and will have a baby again. Out of those half of the couples, half will have a boy and will stop and half will have a girl again. This will keep on going like this.   Now, if there are X number of couples, there will be X boys.   1/2 have a boy and stop: 0 girls   1/4 have a girl, then a boy: X/4 girls   1/8 have 2 girls, then a boy: 2*X/8 girls   1/16 have 3 girls, then a boy: 3*X/16 girls   1/32 have 4 girls, then a boy: 4*X/32 girls   …   Total: X boys and   1X 2X 3X 4X   – + – + – + — +… = ~X   Therefore, the proportion of boys to girls will be extremely close to 1:1
Answer: E
A women walking at 3 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?  Choose the correct answer
A) 1 3/5 Km
B) 3 1/5 Km
C) 4 1/3 Km
D) 5 Km
E) 5 1/3 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 3*6/3 * 16/60   = 18/3 * 16/60   = 6 * 4/15   = 1 3/5 Km   1 3/5 Km
Answer: A
Which of the following is not a prime number ?
Choose the correct option:
A) 98	B) 101	C) 103	D) 107	E) 109

Solution: Clearly, 98 is not a prime number.   98nswer : 98
Answer: A
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?	Choose the correct choice from the following options.
A) 635.5 B) 635.87 C) 635.51 D) 635.19 E) 635.29

Solution: 4000   200 ---- I   200   10 ---- II   ---------------   4410   2210   --------   2000   110 ---- III   110   5.50 ---- IV   -----------   2425.50   2210   -----------   4635.50   4000   ----------   635.50   635.5nswer: 635.5
Answer: A
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :	Choose the correct choice from the following answers
A) 11.0 B) 11.5 C) 11.1 D) 11.9 E) 11.3

Solution: Explanation:   Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.   Answer: 11.5) 11.5
Answer: B
A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 5 points if you must draw exactly 2 “low” cards?  Choose the correct choice.
A) 1	B) 2	C) 3	D) 4	E) 12

Solution: Great question Ravih. This is a permutations problem (order matters) with repeating elements. Given thatlowcards are worth 1 pt andhigh cards2 pts, and you must draw 3 low cards, we know that you must also draw 1 high card. The formula for permutations problems with repeating elements isN!/A!B!...where N represents the number of elements in the group and A, B, etc. represent the number of times that repeating elements are repeated. Here there are 4 elements and thelowcard is repeated 2 times. As a result, the formula is:   4!/2! which represents (4*3*2*1)/(2*1) which simplifies to just 4, giving you answer 12.
Answer: E
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 10% so that the customer could not buy the required amount of the product. The customer managed to buy only 90% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase? Choose the correct option: A) 5% B) 4% C) 3% D) 2% E) 1%

Solution: Let x be the amount of money paid for the first purchase.   The second time, the customer paid 0.9(1.1x)=0.99x.   The difference is 1%.   The answer is 1%.
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 80 metres? Choose one:
A) 18
B) 17
C) 17
D) 12
E) 16

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 80 m= 80/5= 
80/5 = 16
16 seconds.   Answer: 16
Answer: E
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?  Pick one: A) 1/25 B) 2/27 C) 5/26 D) 3/19 E) 2/19

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
Five years hence, father’s age will be three times the age of his son. Five years ago, father was enven times as old as his son. Find their present ages.
Choose the correct choice from the following
A) 40 years and 10 years B) 42 years and 12 years C) 35 years and 5 years D) 41 years and 11 years E) None of these

Solution: Let the present age of father be x years and the present age of son be y years.   five year’s hence   x + 5 = 3(y + 5)   =>x - 3y -10 = 0 -----(1)   Five year’s ago   x - 5 = 7(y - 5)   =>x - 7y + 30 = 0 -----(2)   Solving Equations (1) and (2), we get   x = 40 and y = 10   Hence, present age of father is 40 years and present age of son is 10 years.   40 years and 10 yearsNSWER:40 years and 10 years
Answer: A
Ms. Morris invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A? Pick one:
A) $32,000 B) $36,000 C) $40,000 D) $42,000 E) $45,000

Solution: solution   This one could be solved with a good deal of hairy algebra, but backsolving is an incredibly efficient alternative. Let’s start with (C) — we’ll say Ms. Morris invested $40,000 in Fund A, which means she invested $60,0000 in fund B. In Fund A, she earned 23%, which was   (0.23)*40000= 
  (0.23)*40000 = 9_200
$9200. In Fund B, she earned 17%, which was   (0.17)*60000= 
  (0.17)*60000 = 10_200
$10200. Here, the interest earned in Fund B was $1000 more than the interest earned in Fund A, a bigger difference than we want. To make the difference smaller, we need less money in Fund B and more money in Fund A. Eliminate answers (A) & (B) & (C). Try D: We’ll say Ms. Morris invested $42,000 in Fund A, which means she invested $58,000 in Fund B. In Fund A, she earned 23%, which was   (0.23)*42000= 
  (0.23)*42000 = 9_660
$9660. In Fund B, she earned 17%, which was   (0.17)*58000= 
  (0.17)*58000 = 9_860
$9860. The difference is exactly $200, so answer $42,000
Answer: D
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.	Choose the correct option
A) 0 sq m
B) 7 sq m
C) 2 sq m
D) 3 sq m
E) 6 sq m

Solution: S = (1 + 2 + 3)/2= 
(1 + 2 + 3)/2 = 3
3=> No triangle exists   0 sq mnswer:0 sq m
Answer: A
How many four-digit positive integers can be formed by using the digits from 1 to 9 so that two digits are equal to each other and the remaining two are also equal to each other but different from the other two ?	Select the correct option
A) 400  B) 1728  C) 108  D) 216  E) 432

Solution: The number of ways u can chose two digits from 9 digits is 9C2=(9*8)/2.   And the no of ways u can arrange two digits like asked is 4C2=(4*3)/2.   total ways is   36*6= 
  36*6 = 216
216.   Answer : 216
Answer: D
Find the one which does not belong to that group?	Choose the most appropriate option
A) 16  B) 36  C) 23  D) 64  E) 4

Solution: Explanation:   16, 36, 64 and 4 are perfect squares but not 23.   Answer:23
Answer: C
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is  Choose one
A) 720  B) 180  C) 75  D) 65  E) None of these

Solution: Explanation:   The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is  360/12= 
 360/12 = 30
30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.   Answer: 75
Answer: C
72519 x 9999 = ?  Choices:
A) 725117481  B) 674217481  C) 685126481  D) 696217481  E) None of them

Solution: =7259 x 9999   =7259 x (10000 - 1)   =72519 x 10000 - 72519 x 1   =725190000 - 72519= 
725190000 - 72519 = 725_117_481
725117481   725117481nswer is 725117481
Answer: A
Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $3,500 less if they could find two more equal investors. How much is the total investment in the new business?
Choose the correct choice
A) $64,000 B) $4,800 C) $21,000 D) $ 19,400 E) $ 26,250

Solution: Total Investment between 5: (x/5)   Total investment including 3500 less between 3 people(x-(3500*3))/3   Set both eq. equal to eachother.   26,250   The answer is $ 26,250)
Answer: E
In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choose the correct choice from the following answers:	A) 150	B) 200	C) 250	D) 350	E) None

Solution: Sol.   Let the number of grils be x.   Then, number of boys = (600 - x).   Then, (11 3/4 × 600)   ⇔ 11x + 12(600 - x) ⇔ x = 7200 - 7050 ⇔ 150.   150nswer 150
Answer: A
If the probability that Green Bay wins the Super Bowl is 1/10 and the probability that Milwaukee wins the World Series is 1/15, what is the probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series (but not both)?
Choose the correct answer:
A) 23/150 B) 19/120 C) 17/100 D) 11/80 E) 7/50

Solution: 9/10*1/15 + 1/10*14/15 = 23/150   The answer is 23/150.
Answer: A
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
Pick:
A) 10
B) 46
C) 70
D) 90
E) 100

Solution: Let the numbers be x and (100 - x).   Then, x(100 - x) = 5 * 495   x2 - 100x + 2475 = 0   (x - 55)(x - 45) = 0   x = 55 or 45   The numbers are 45 and 55.   Required difference = 55 - 45= 
55 - 45 = 10
10.   10NSWER:10
Answer: A
Richie made a part payment of $325 toward buying a brand new scooter, which represents 8% of the total cost of the scooter, how much remains to be paid?
Select
A) $2275
B) $3275
C) $1275
D) $1175
E) $5275

Solution: Explanation:   Let's start with what the total price of the scooter would be. If 8% is equal to $325 then 100% equals $x. We just have to multiply $325 by 8% to get total amount=$2600. Out of this amount we then need to deduct the amount already paid which was $325 so we have $2600-$325=$2275   $2275nswer: Option $2275 2600- 325= 
 2600- 325 = 2_275
$2275   $2275nswer: Option $2275
Answer: A
317 x 317 + 283 x 283=?	Pick:
A) 79698  B) 80578  C) 80698  D) 180578  E) None of them

Solution: =(317)^2 + (283)^2   =(300+17)^2 + (300-17)^2   =2[(300)^2+(17)^2]   =2[90000+289]   =2 x 90289 = 180578   Answer is 180578
Answer: D
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 5h. What is the respective ratio of distances covered by Car A & Car B?  Select:
A) 11 : 6
B) 52 : 35
C) 13 : 7
D) 15 : 6
E) 13 : 6

Solution: Sol. Distance travelled by Car A = 65 Ã— 8 = 520 km   Distance travelled by Car 52 : 35 = 70 Ã— 5 = 350 km   Ratio = 520/350 = 52 : 35   52 : 35
Answer: B
Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?
Choose the correct choice from the following.
A) a) 9 B) b) 3 C) c) 12 D) d) 6 E) e) 10

Solution: A no. divisible by 36 means it is div by 49 .   to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only   similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find Q could be either 1,4,7 only.   To be divisible by 9 only 1 works .(if we choose f=6 then Q have to be 6 but as per condition QF are distinct) So   Q=1   F=2   Ans:- 3.b) 3
Answer: B
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km? Choose the most appropriate option
A) 1000	B) 2000	C) 3000	D) 4000	E) 5000

Solution: 2 * 22/7 * 1.75 * x = 11000   x = 1000   1000NSWER:1000
Answer: A
What is the largest 4 digit number exactly divisible by 72?	Choose the correct choice from the following choices:
A) 4676 B) 4678 C) 8888 D) 9504 E) 9936

Solution: Largest 4 digit number = 9999   9999 ÷ 72 = 138, remainder = 63   Hence largest 4 digit number exactly divisible by 88   = 9999 - 63= 
9999 - 63 = 9_936
9936   answer :9936
Answer: E
If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.	Pick
A) 9 km
B) 2 km
C) 1 km
D) 6 km
E) 7 km

Solution: Explanation:   Let the total distance be y km. Then,   (2/3)y/4 +(1/3)y/5 =7/5   y/6 + y/15 = 7/5   7y =42   y = 6 km   ANSWER:6 km
Answer: D
In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 120? Choose one:
A) 25  B) 26  C) 27  D) 28  E) 29

Solution: Let x be the number of students in the largest class.   Then x + (x-2) + (x-4) + (x-6) + (x-8) = 120   5x -20 = 120   5x = 140   x = 28   The answer is 28.
Answer: D