MU-NLPC/Calc-aqua_rat huggingface dataset:
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a quarter of its new value. What is the stock's value at the end of Monday?  Select the correct option:
A) X.
B) 3X/8.
C) 2X/3.
D) X/3.
E) X/4.

Solution: Stock value= X   AT sunday end= x+.5X= 1.5 X   On monday the value drop to 1/4rd of its value on sunday   1.5x/4= 3X/8   3X/8. is the answer
Answer: B
A sum of Rs. 800 amounts to Rs. 920 in 8 years at simple intere
interest rate is increased by 8%, it would amount to bow mucb ?  Choose the correct answer: A) Rs 990 B) Rs 995 C) Rs 997 D) Rs 992 E) Rs 999

Solution: S.l. = Rs. (920 - 800) = Rs. 120; p = Rs. 800, T = 3 yrs. _   . R = ((100 x 120)/(800*3) ) % = 5%.   New rate = (5 + 3)= 
(5 + 3) = 8
8%.   New S.l.= Rs. (800*8*3)/100 = Rs. 192.   :. New amount = Rs.(800+192) = Rs. 992   Answer is Rs 992.
Answer: D
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary? Choose the correct choice.
A) 6	B) 7	C) 8	D) 1	E) 4

Solution: 10*10   -------- = 1%   100   Answer: 1
Answer: D
Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1600 more than Mike did, what was the profit made by their business in that year? Select:
A) $3500  B) $3400  C) $3300  D) $3200  E) $3000

Solution: Explanatory Answer   Let the profit made during the year be $3x   Therefore, $x would have been shared equally and the remaining $2x would have been shared in the ratio 9 : 1.   i.e., 90% of 2x would go to Mary and 10% of 2x would go to Mike.   Hence, Mary would get (90 - 10)% of 2x more than Mike   Or80% of 2x = $1600   i.e.,(60/100)*2x = 1600   or 2x = 2000.   Hence, the profit made by the company during the year $3x = $3000.   Answer : $3000
Answer: E
75% of 480 = (?) x 15 ?  Choose the correct choice from the following:
A) 32	B) 18	C) 360	D) None of these	E) Cannot be determined

Solution: Answer   Let 75% of 480 = A x 15.   ⇒ (75 x 480)/100 = 15A   ∴ A = (75 x 480)/ (100 x 15) = 24   Correct Option: None of these
Answer: D
A certain elevator has a safe weight limit of 1950 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds?	Answers:
A) 7	B) 8	C) 9	D) 10	E) 11

Solution: Lets assume there are 2X people.   Half of them have average weight of 190 and other half has 200.   Maximum Weight is = 1950   So 190*X + 200*X = 1950   => 390X = 1950   => X is approximately equal to 5.   So total people is  2*5= 
 2*5 = 10
10   Answer 10.
Answer: D
69 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choose the correct choice from the following choices
A) 20	B) 23	C) 24	D) 25	E) 26

Solution: According to the chain rule,   M1 x T1 = M2 x T2   Therefore, 69 x 12 x 5 = 30 x 6 x X   X = 23   Hence, the number of days = 23.   ANSWER:23
Answer: B
If W + A < W - A < A - W, which of the following is correct?
Select the correct option.
A) A < W < 0.  B) W < A < 0.  C) W < 0 < A.  D) 0 < B < A.  E) B > A > 0.

Solution: Check first inequality   W + A < W - A   A<-A   A is -ve   Check another equality   W - A < A - W   -2A<-2W   A>W   Combining both 0>A>W   Option W < A < 0. fits only   Ans W < A < 0.
Answer: B
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 43. Find the third number? Choose one:
A) A)37
B) B)85
C) C)48
D) D)43
E) E)84

Solution: Let the numbers be 5x, 6x, 7x.   Largest number = 7x.   Smallest number = 5x.   Third number = 6x.   7x + 5x = 6x + 43   6x = 43 => third number is 43.   Answer: Option 43
Answer: D
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.24000. What will be the ratio in which they should share the profit at the end of the year?
Select:  A) 1:2  B) 2:1  C) 3:2  D) 2:3  E) 5:2

Solution: Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000×12:24000×9   =45×12:24×9   =15×12:8×9   =5:2   Answer is 5:2.
Answer: E
What day of the week was 5th January 2001 Choose the correct choice from the following answers:
A) Sunday  B) Thursday  C) Saturday  D) Tuesday  E) Friday

Solution: Explanation:   5th Jan 2001 = (2000 years + 5th Jan 2001)   We know that number of odd days in 400 years = 0   Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)   5th Jan 2001 = 5 odd day   Total number of odd days = (0 + 5)= 
(0 + 5) = 5
5   5 odd days= Friday   Hence 5th January 2001 is Friday.   Answer: Option Friday
Answer: E
The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area? Select the correct option.
A) 1:1
B) 1:9
C) 1:3
D) 1:4
E) 1:3

Solution: 1:4   Answer: 1:4
Answer: D
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?	Choose the correct choice from the following.
A) 2800  B) 2500  C) 2700  D) 3000  E) 3500

Solution: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144   3x/100 + 200 â€“ 5x/100 = 144   2x/100 = 56 Ã¨ x = 2800   2800NSWER 2800
Answer: A
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:	Choose the correct choice from the following choices.
A) 40 years  B) 50 years  C) 60 years  D) 70 years  E) 80 years

Solution: Explanation:   Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.   Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.   Husband’s present age = (90 – 50) years = 40 years.   40 yearsnswer: 40 years
Answer: A
5+8 Answers:
A) 8
B) 13
C) 28
D) 6
E) 2

Solution: 13
Answer: B
K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 650?	Pick one
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: 650 = 2*222 + (22*9) + 4*2   K weight of 600 = 2 +9+2= 
2 +9+2 = 13
13   Answer 13
Answer: D
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent A of the interns report no feelings of tiredness during their shifts?  Select the correct option.
A) 6	B) 14	C) 19	D) 20	E) 81

Solution: < 6 hours sleep>= 6 hours sleepTOTAL   Tired75--   Not Tired-0.7*X?   TOTAL80X100   Interns who receive< than 6 hours sleepandNot Tired= 80 - 75= 
80 - 75 = 5
5;   TOTAL interns who receive >= 6 hours sleep= 100 - 80= 
100 - 80 = 20
20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20= 
0.7 * 20 = 14
14;   Interns who areNot Tired A= 5 + 14= 
5 + 14 = 19
19.   Answer: 19.
Answer: C
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12600 after a year?  Select:  A) 3630  B) 3637  C) 3630  D) 3631  E) 3780

Solution: 6300:4200:10500   3:2:5   3/10 * 12600= 
3/10 * 12600 = 3_780
3780   Answer: 3780
Answer: E
100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e.no. 2 )and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?  Pick one:
A) 48
B) 53
C) 64
D) 84
E) 73

Solution: my answer logic rules:   (i) if the last people survived of the next series remains same then the first person is killed   (ii)if the last person of the next sequence is less than the 1st series then the 1st person remains alive   (iii)all the sequence goes with an increment like 2,4,8,16,32,.....   these are the people survived   1,5,7,......99 (diff 2)   1,7,11,.....97 (diff 4),(here 97 1st will be killed   9,25,.......89 (diff 16)   9,41,73 (diff 32)   9,73 (diff 64)   73 is the last man to be alive   ANSW73R:73
Answer: E
There are 2 bars of copper-nickel alloy. One bar has 2 parts of copper to 5 parts of nickel. The other has 3 parts of copper to 5 parts of nickel. If both bars are melted together to get a 20 kg bar with the final copper to nickel ratio of 5:11. What was the weight of the first bar?  Choose the correct choice.
A) 1 kg B) 4 kg C) 6 kg D) 14 kg E) 16 kg

Solution: In the 20 KG bar,   Copper constitutes 5/16*20 = 25/4 of the mixture   Nickel constitutes 11/16*20 = 55/4 of the mixture   Now,   Let C/N ratio in Bar 1 of the solution be 2a : 5a   Let C/N ratio in Bar 2 of the solution be 3b : 5b   Therefore,   2a+3b = 25/4 and   5a+5b = 55/4   Solving for the above you get,   b= 3/4 and a=2   Now weight of the first bar = 2a+5a = 7*2 2 +5= 
2 +5 = 7
7*2= 
7*2 = 14
14   ANSWER:14 kg
Answer: D
In certain code 'COLD' is written as '*$&#' and 'FOUND' is written as '@$^?#'. How is 'LOUD' written in that code?	Choose one
A) @%&#
B) ?@^*
C) #*&^
D) &$^#
E) #&^$

Solution: & = L   $ = O   ^ = U   # = &$^#   Answer: Option &$^#
Answer: D
A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck?	Options:
A) 1:1 B) 3:8 C) 4:3 D) 8:9 E) 1:3

Solution: Given;   4 duck = 3 hen;   Or, duck/hen = 3/4;   Let hen's 1 leap = 4 meter and ducks 1 leap = 3 meter.   Then, ratio of speed of hen and duck = 4*6/3*8 = 1:1''1:1nswer: 1:1;
Answer: A
In how many ways can 5 identical black balls and 7 identical white balls be arranged in a row so that no 2 black balls are together
Choose the correct choice from the following choices
A) 56  B) 64  C) 65  D) 316  E) 560

Solution: Consider the possible arrangements:   WBWBWBWBWBWW or BWBWBWBWBWWW or WWBWBWBWBWBW or WWWBWBWBWBWB   Clearly, we are concerned about not placing 2 B's together, whites can be placed however we want.   So, it is like _W_W_W_W_W_W_W_ where black ball can be placed anywhere on the blank spaces, and this way, there never will be a case where 2 black balls fall together.   56s there are 8 black spaces where 5 black balls can be placed, thus, the combination turns out as 8C5 (again, we are not concerned about the placement of white balls as we have already "fixed" their positions in the diagram above)   56lso, we achieved at 8C5 as arranging 5 black balls on 8 different spots => 8!/5!3! (Total combination of available spaces = 8!; choosing 5 spaces out of them = 5!, arranging 3 leftover spaces = 3!) = 56   Hence answer is 56
Answer: A
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?  Choose the correct choice:
A) 360
B) 88
C) 77
D) 121
E) 123

Solution: The given digits are six.   The number of four digit numbers that can be formed using six digits is ⁶P₄ = 6 * 5 * 4 * 3= 
6 * 5 * 4 * 3 = 360
360.   360nswer: 360
Answer: A
The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	Pick one
A) 76 m  B) 178 m  C) 220 m  D) 187 m  E) 176 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (155 + x)/30 = 25/2   => 2(155+ x)= 750 => x = 220 m.   Answer: 220 m
Answer: C
If v and d are both integers, v>d, and -3v>19, then the largest value of d would be? Choose the correct choice from the following choices:
A) -5
B) -6
C) -7
D) -8
E) -10

Solution: No, your thinking is incorrect. When we know that v>d and v<-6.33, the largest value of v can be -7 while if v=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.   You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.   Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:   .......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).   So, as per the question if d<v and v = -7 , then d's largest 'possible' value has to be -8.   -10 is smaller than -8=-8
Answer: D
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then ADD?
Choices:
A) 20
B) 30
C) 29
D) 27
E) 28

Solution: GOOD=(7+15+15+4)*4= 
(7+15+15+4)*4 = 164
164   BAD= (2+1+4)*3= 
(2+1+4)*3 = 21
21   UGLY= (21+7+12+25)*4= 
(21+7+12+25)*4 = 260
260   coding follows   (sum of position of alphabets)*(no. of letters in the given word)   so,   A2727=(1+4+4)*3= 
(1+4+4)*3 = 27
27   ANSWER:27
Answer: D
What is the smallest positive integer x, such that 1944x is a perfect cube?  Choose the correct choice from the following answers:
A) 4
B) 3
C) 8
D) 12
E) 18

Solution: Take out the factors of 1944 that will come 2^3*3^3 *3^2. for perfect cube you need every no. raise to the power 3. for 1944 to be a perfect cube, need 1 3 that means =3   3 is the answer.
Answer: B
A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:	Choose the correct choice from the following:
A) 90 B) 100 C) 110 D) 140 E) 150

Solution: sax Letlheo g alnumberofworkers hex   x workers can do the wor - 100 days   (x — 10) workers can do the work in 110 days   4 100x 1u1x— 10)   1100 Q x 110   110
Answer: C
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choose the correct choice: A) 1 B) 8 C) 9 D) 7 E) 4

Solution: 96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8   Answer: 8
Answer: B
Three integers are at random chosen between 0 and 9 inclusive. What is the probability K that each number is different ? Choose the most appropriate option
A) A.18/25	B) B.4/5	C) C.81/100	D) D.9/10	E) E.1

Solution: Number of ways of choosing the 3 integers without restriction = 10 * 10 * 10   Number of ways of choosing the 3 integers so that the 3 integers are different = 10 * 9 * 8   Probability K= 10 * 9 * 8/10 * 10 * 10 = 72/100 = 18/25   A.18/25nswer: A.18/25
Answer: A
A train 50m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?	Choose the correct answer
A) 15kmph B) 25kmph C) 35kmph D) 45kmph E) 55kmph

Solution: Let the speed of the train be x kmph   Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec   50/[(x+5)*5/18] = 6   30(x+5) = 900   x = 25kmph   Answer is 25kmph
Answer: B
If in a race of 90m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by: Pick one.
A) 20m
B) 16m
C) 11m
D) 10m
E) 18m

Solution: Explanation:   The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.   The distance covered by B in 5 seconds = (90 * 5) / 25= 
(90 * 5) / 25 = 18
18m   Hence, A beats B by 18m.   ANSW18mR 18m
Answer: E
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/11 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now? Select the correct option:
A) $110	B) $120	C) $183.3	D) $220	E) $260

Solution: Lets assume Al have amount A in his bank account and Eliot's bank account got E amount. We can form an equation from the first condition.   A-E = 1/11*(A+E) ==> 10A = 12E ------------ (1)   Second condition gives two different amounts, Al's amount = 1.1A and Eliot's amount = 1.2E   1.1A = 22 + 1.2E ==> 11A =220 +12E -------(2)   Substituting (1) in (2):   11A = 220+10A ==>A = 220 ;E =183.3   $183.3
Answer: C
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choose the correct answer.
A) 540  B) 325  C) 600  D) 455  E) 200

Solution: 540+B+C = 1170   4540 = 3B = 2C = x   540:B:C = 1/4:1/3:1/2 = 3:4:6   6/13 * 1170 = Rs.540   540NSWER 540
Answer: A
The number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?	Choose one.
A) 2:3
B) 3:5
C) 4:7
D) 5:8
E) 7:9

Solution: Soln:-   1.10S + 0.99D = 1.03[S + d]   0.07S = 0.04D   S/D = 4/7   ANSWER:4:7
Answer: C
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?	Answers.
A) 240 B) 177 C) 266 D) 155 E) 141

Solution: (3*8 + 2*4):(4*8 + 5*4)   8:13   8/21 * 630= 
8/21 * 630 = 240
240   240nswer:240
Answer: A
Two taps can separately fill a cistern 10 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
Select
A) 6.5
B) 7.5
C) 8.5
D) 9.5
E) 2

Solution: 1/10 + 1/12 - 1/x = 1/20   x = 7.5   Answer:7.5
Answer: B
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 10 years, son's age will be:
Select the correct option
A) 12 years  B) 14 years  C) 18 years  D) 24 years  E) 26 years

Solution: Explanation:   Let the present ages of son and father be x and (60 -x) years respectively.   Then, (60 - x) - 6 = 5(x - 6)   54 - x = 5x - 30   6x = 84   x = 14.   Son's age after 10 years = (x+ 10) = 24 years..   Answer: 24 years
Answer: D
Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 4 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of Y?	Choose one
A) 2Y B) 4Y C) 5Y D) 6Y E) 10Y

Solution: Money Anthony got = 14X for performance + y from Cindy   So Anthony's daily allowance = (14X+y)/14   Cindy's daily allowance = (14x-y)/10   These 2 quantities are same - so (14X+y)/14 = (14X-y)/10   so 140X +10y = 196X - 14y or y=(7/3)x.   So money Anthony got in advance = 14X = 6Y.   Answer = 6Y.
Answer: D
Stacy has a 63 page history paper due in 7 days. How many pages per day would she have to write to finish on time?	Choose the correct choice from the following:
A) 9 B) 8 C) 10 D) 8.5 E) 6

Solution: 63/7= 
63/7 = 9
9   9.9
Answer: A
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 12 hours longer than the first half, how many hours did it take the runner to run the second half?  Choose the most appropriate option.
A) 20
B) 22
C) 24
D) 26
E) 28

Solution: The runner runs the first 20 miles at speed v and the second 20 miles at speed v/2.   The time T2 to run the second half must be twice the time T1 to run the first half.   T2 = 2*T1 = T1+12   T1 = 12 and so T2 = 24.   The answer is 24.
Answer: C
Andrew purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Choose the correct choice from the following answers:
A) 1000  B) 1055  C) 1060  D) 1075  E) 1080

Solution: Cost of 8 kg grapes = 70 × 8 = 560.   Cost of 9 kg of mangoes = 55 × 9 = 490.   Total cost he has to pay = 560 + 490 = 1055   1055
Answer: B
X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13860 ? Choose the correct choice from the following options
A) 4032
B) 4000
C) 3250
D) 3825
E) 3985

Solution: Ratio of investment, as investments is for different time.   Investment x Number of units of time.   Ratio of investments X : Y : Z = 36000 : 42000 : 48000 => 6 : 7 : 8.   X = 6 x 12 Months = 72, Y = 7 x 12 = 84, Z = 8 X 8 = 64 => 18 : 21 : 16.   Ratio of investments => X : Y : Z = 18 : 21 : 16.   Investment Ratio = Profit sharing Ratio.   Z = 13860 Ã— 16/55 = Rs.4032.   Share of Z in the profit is Rs.4032.   Option 4032
Answer: A
A man can row his boat with the stream at 14 km/h and against the stream in 4 km/h. The man's rate is? Choose the most appropriate option.
A) 1 kmph  B) 4 kmph  C) 5 kmph  D) 7 kmph  E) 8 kmph

Solution: DS = 14   US = 4   S = ?   S = (14 - 4)/2= 
(14 - 4)/2 = 5
5 kmph   Answer: 5 kmph
Answer: C
If 5 Men or 8 Women take 5 days to complete some work, how many days will 12 Men and 8 Women working together take to complete the work?
Can anyone explain please? Pick one
A) 1. 3/2 days
B) 2. 2 Days
C) 3. 9/4 days
D) 4.25/17 days
E) 5.3 days

Solution: 5 men or 8 women takes 5 days to complete the work   So 5M = 8W   W = 5/8M   1 man in 1 day does 1 unit of work   so 5 M in 5 M = 25 units of work   now 12 M and 8 W = 12 M + 8(5/8)M   = 12M + 5M   = 17M   Since both set do the same work   17M in n Days 12  + 5= 
12  + 5 = 17
17M   Since both set do the same work   17M in n Days= 25 units of work   n = 25/17 days.   4.25/17 days
Answer: D
Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 480m tall and the Petronas Towers is 516m tall?	Choose the most appropriate option
A) 9
B) 17
C) 23
D) 36
E) 12

Solution: 516-480= 
516-480 = 36
36.Answer is 36.
Answer: D
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test? Choose the correct choice from the following options:
A) 768	B) 243	C) 246	D) 625	E) 224

Solution: Let the maximum mark in each test be M.   The candidate failed by 36 marks in the second test.   pass mark in the second test = 216 + 36= 
216 + 36 = 252
252   45/100 M= 252   Pass mark in the first test = 40/100 M = 40/45 * 252= 
40/45 * 252 = 224
224.   Answer:224
Answer: E
Evaluate combination
98C96=98!/(96)!(2)!  Options:  A) 1617  B) 4753  C) 1417  D) 4353  E) None of these

Solution: Explanation:   nCr=n!/(r)!(n−r)!   98C96=98!/(96)!(2)!   =98∗97*96!/(96)!(2)!   =98*97/2∗1   =4753   Option 4753
Answer: B
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options: A) 4 B) 5 C) 8 D) 7 E) 8

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35   So 30x + 35 + 31(x + 1) = > x = 4.   4NSWER 4
Answer: A
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choose the correct choice from the following answers:  A) 377  B) 367  C) 237  D) 245  E) 267

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: 245
Answer: D