MU-NLPC/Calc-aqua_rat huggingface dataset:
Increasing the original price of a certain item by 15 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent? Choices:	A) 31.25	B) 37.5	C) 50.0	D) 52.5	E) 43.75

Solution: We're told that the original price of an item is increased by 15% and then THAT price is increased by 25%....   IF....   Starting value = $100   + 15% = 100 + .15(100) = 115   + 25% = 115 + .25(115) = 115 + 28.75= 
115 + 28.75 = 143.75
143.75   The question asks how the final price relates to the original price. This is essentially about Percentage Change, which means we should use the Percentage Change Formula:   Percentage Change= (New - Old)/Old = Difference/Original   Doing either calculation will yield the same result:   43.75/100 = 43.75%   Final Answer:   43.75
Answer: E
Two employees X and Y are paid a total of Rs. 700 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?	Select.
A) s.200.18	B) s.240.18	C) s.290.18	D) s.300.18	E) s.318.18

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 700   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 700   ⇒ y[12/10 + 1] = 700   ⇒ 22y/10 = 700   ⇒ 22y = 7000   ⇒ y =7000/22 = Rs.318.18   s.318.18)
Answer: E
Sum of the squares of three numbers is 467 and the sum of their products taken two at a time is 131. Find the sum?  Choose the most appropriate option:
A) 20
B) 27
C) 25
D) 27
E) 29

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 467 + 2* 131   a + b + c = √729 = 27   27
Answer: B
A train 140 m long is running at 60 kmph. In how much time wiU it pass a platform 260 m long?  Select.
A) 21sec	B) 22sec	C) 23sec	D) 24sec	E) 26sec

Solution: s=d/t   d=140+260= 
140+260 = 400
400m   s=60*5/18 m/sec=50/3 m/sec   t=400/(50/3)=1200/50= 
1200/50 = 24
24sec   ANSWER:24sec
Answer: D
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 6 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?	Choose the correct answer: A) 8 mph B) 5.25 mph C) 3.5 mph D) 4 mph E) 0.5 mph

Solution: (1 mph +6 mph)/2 = 3.5 mph   3.5 mphorrect option is: 3.5 mph
Answer: C
A charity is raising Â£1000 for disabled children. If it spends Â£20 for every Â£100 raised, how much money do they need to raise to reach the goal?  Select the correct option:	A) A - 1200	B) A - 1200	C) A - 1200	D) D - 12	E) 155

Solution: His overall steps are +6   take 100 - 6   take 94/6 to lowest divisible number - 90/6   This means that it will take 15 "overall" actions to reach the 90th centimeter. -15*18 steps added later   Set steps at 90. walk 10 steps. fall off - add 10 to total   15*18 + 10= 
15*18 + 10 = 280
280 steps in total   Double checking, 6*15= 90, meaning that it took 15 forwards and backwards to reach.   It is dangerous to oversimplify so take context. For each average steps, adding 12 each time will ensure that it is a valid process that will not resulting in falling off the meter stick. At 15 overall, he falls off. but at 14, 6*14 = 84, adding 12 we get 96 which does not result in him falling off. It is completely safe to say 15 overall steps do not result in falling off.   From there, take 10 steps an on the 11th, not counted, he falls off since he was at 90.   All that's left is to count the total steps.   each overall step has 18 steps, 12 forward and 6 backward   18*15= 
18*15 = 270
270   then add the final steps  270 +10= 
 270 +10 = 280
280   Answer: A - 1200
Answer: C
There are three persons A, B and C when the age of A is added to half of the age of B, the result is equal to C's age. One-third of the age of 'B' is equal to one-fourth of the age of 'C'. If one-fifth of A's age is added to half of B's age, the result is equal to half of C's age. Then what is the age of 'B' ?	Pick:	A) 16 yrs	B) 20 yrs	C) 24 yrs	D) 30 yrs	E) 35 yrs

Solution: Explanation :   A + B/2 = 24 yrs .......(i)   B/3 = 24 yrs/4 ........(ii)   A/5 + B/2 = 24 yrs/2 ........(iii)   Solving these three eqns, A = 20, B = 24 and 24 yrs = 32   Answer : Option 24 yrs
Answer: C
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony eight hours from now?	Answers:
A) 4,960,000 B) 6,860,000 C) 9,920,000 D) 11,720,000 E) 14,960,000

Solution: 310,000 × 2 × 2×2×2×2 = 310,000 × 32 = 9,920,000
Answer: C
A train covered a distance at a uniform speed .if the train had been 6 km/hr faster it would have been 4 hour less than schedule time and if the train were slower by 6 km/hr it would have been 6 hrs more.find the distance.  Choose one.
A) 720 km B) 820 km C) 920 km D) 620 km E) 780 km

Solution: Let t be the usual time taken by the train to cover the distance   Let d be the distance, s be the usual speed   Usual time taken => d/s = t => d=ts   d/(s+6) = t-4   ts/(s+6) = t-4   ts = ts+6t-4s-24   6t - 4s - 24 = 0 --> (1)   d/(s-6) = t+6   ts = ts-6t+6s-36   -6t + 6s - 36=0 --->(2)   Solving (1) nd (2), v get   s = 30 km/h   t = 24 hrs   d = t * s   d = 30 * 24= 
30 * 24 = 720
720 km   720 kmNSWER:720 km
Answer: A
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answers:	A) 40, 68 kmph	B) 40, 30 kmph	C) 90, 60 kmph	D) 40, 60 kmph	E) 60, 20 kmph

Solution: Speed downstream = 40 + 20= 
40 + 20 = 60
60 kmph   Speed upstream= 40 - 20= 
40 - 20 = 20
20 kmph   Answer: 60, 20 kmph
Answer: E
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 5 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?  Choices.
A) 25 km
B) 30 km
C) 40 km
D) 50 km
E) 60 km

Solution: Number of stops in an hour: 60/5= 
60/5 = 12
12   Distance between stops: 60/12= 
60/12 = 5
5 km   Distance between Yahya's house and Pinedale Mall: 5 x 5= 25 km   IMO, correct answer is "25 km."
Answer: A
Three table runners have a combined area of 220 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Pick one
A) 18 square inches B) 20 square inches C) 24 square inches D) 28 square inches E) 30 square inches

Solution: Total = a + b + c - (sum of EXACTLY 2-group overlaps) - 2*(all three) + Neither   80%*175 = 220 - 24 - 2*(all three) + 0   2*(all three) = 220 - 24 - 140   all three = 28   Answer: 28 square inches
Answer: D
In 10 years, A will be twice as old as B was 10 years ago. If A is now 4 years older than B the present age of B is	Choose the most appropriate option
A) 37  B) 38  C) 39  D) 34  E) 41

Solution: let present age of A be a and B be b   a+10 = 2*(b-10)   => 2b-a = 30 ......(i)   a = b+4   =>2b-b-4 = 30   b=34   so the present age of b is 34 years   ANSWER:34
Answer: D
Jimâ€™s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.4 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Pick one:	A) $3.15	B) $4.45	C) $4.80	D) $5.05	E) $5.85

Solution: Let the fixed charge of Jimâ€™s Taxi Service = 2.25 $   and charge per 2/5 mile(.4 mile) = .4$   Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .4   = 2.25 + 9*.4= 
2.25 + 9*.4 = 5.85
5.85 $   Answer $5.85
Answer: E
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is :
Choose the correct choice from the following:
A) 45  B) 46  C) 47  D) 48  E) 49

Solution: Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg. 45nswer : 45
Answer: A
The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H? Choose the most appropriate option:
A) 1	B) 2	C) 3	D) 5	E) 8

Solution: If the number is divisible by 6, then the sum of the digits must also be divisible by both 3 and 2. Only 1 yields such a number.   1nswer: 1
Answer: A
How many keystrokes are needed to type numbers from 8 to 180? Options:  A) 360  B) 180  C) 325  D) 425  E) None of these

Solution: Explanatory Answer   While typing numbers from 8 to 180, there are 2 single digit numbers: 8 and 9.   Each of these numbers requires one keystroke.   That is 2 key strokes.   There are 90 two-digit numbers: from 10 to 99.   Each of these numbers requires 2 keystrokes.   Therefore, 180 keystrokes to type the 2-digit numbers.   There are 81 three-digit numbers: from 100 to 180.   Each of these numbers requires 3 keystrokes.   Therefore, 243 keystrokes to type the 3-digit numbers.   Totally, therefore, one requires   2 + 180 + 243= 
  2 + 180 + 243 = 425
425 keystrokes.   Choice 425 is the correct answer.
Answer: D
Peter purchased 30 kg of rice at the rate of $11.50 per kg and 20 kg of rice at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit? Answers:
A) 17.2
B) 15.3
C) 16.3
D) 19.3
E) 10.12

Solution: C   16.30   C.P. of 50 kg rice = (30 * 11.50 + 20 * 14.25)= 
(30 * 11.50 + 20 * 14.25) = 630
$630.   S.P. of 50 kg rice= 130% of $630 = 130/100 * 630= 
130/100 * 630 = 819
$819.   S.P. per kg= 819/50= 
819/50 = 819/50 = around 16.38
$16.38= 16.30.
Answer: C
How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?  Choose the correct choice.
A) 22 sec
B) 20 sec
C) 15 sec
D) 23 sec
E) 16 sec

Solution: 23 sec = 100 + 245= 
100 + 245 = 345
345 m   S= 54* 5/18= 
54* 5/18 = 15
15   T= 345 * 1/15= 
345 * 1/15 = 23
23 sec   ANSWER:23 sec
Answer: D
River A and River B have a combined length of 650 miles and River B is 250 miles shorter than river A. How many miles long in river B?
Answers
A) 100  B) 200  C) 300  D) 400  E) not be determined

Solution: Total length of River A and River B is 650 miles.   Let X be the length of River A.   River B is 250 miles shorter than River A.   x+x-250=650   2x=650+250   x=450   Length of River A=450 miles.   Length of River 200=450-250= 
450-250 = 200
200 miles   Answer is option 200
Answer: B
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Choose one
A) 1/37  B) 1/36  C) 1/28  D) 1/29  E) 1/23

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
Jackson has $313,193 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?  Choose the correct answer:
A) $1  B) $2  C) $3  D) $4  E) $5

Solution: In order to divide the sum in 9 parts, the amount must also be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 313,193 = 20 and 18 is divisible by 9.   Hence we need to subtract 2 to this number for it to be divisible by 9   Correct Option: $2
Answer: B
The angles of a triangle are in the ratio 2: 3 : 4. Find the measurement of the 3 angles of triangle. Choose the correct choice from the following answers:  A) 75°  B) 25°  C) 40°  D) 80°  E) 20°

Solution: If the ratio of the three angles is 2:3:4, then the measures of these angles can be written as 2x, 3x and 4x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   2x + 3x + 4x = 180   Solve for x   9x = 180   x = 20   The measures of the three angles are   2x =2 x 2=40°   3x = 3 × 20 = 60°   4x = 4 × 20 = 80°   80°
Answer: D
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?  Choose the correct choice from the following options
A) 86%
B) 98%
C) 96%
D) 06%
E) 92%

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   Answer:96%
Answer: C
The price of a new SUV is $50,000 and you have $10,000 cash to make a down-payment. You will be able to finance the remainder of the balance over 60 months. Regarding the principle only, what percent of the original price of the SUV will you pay monthly?  Choose the correct option:  A) 1/2 %  B) 1 %  C) 1 1/3 %  D) 2 %  E) 3 %

Solution: A certain percentage of questions in the Quant section of the GMAT are just 'math questions' - you'll use a formula, do some calculations and you'll have the answer. This is one of those types of questions. You still have to write everything down and stay organized, but the work involved is relatively straight-forward.   Original price = $50,000.   Down-payment is $10,000, which is 20% of $50,000. ($10,000/ $50,000 x 100).   80% of original price remains. (100% - 20%)   80% to be paid over 60 months.   What percent of original price will be paid monthly? (80% ÷ 60 = 1 1/3 %)   1 1/3 %
Answer: C
Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number Q of defective chips in a shipment of 60000 chips?	Choose the correct choice.
A) 14
B) 20
C) 22
D) 24
E) 25

Solution: I agree with your solution = 20. But the question is:   There are different combination to get 60,000 chips. For example: 1*S3 + 2*S4 + 2*S2. In this way, we ship 60,000 chips with only   6 + 4*2 + 2*2= 
  6 + 4*2 + 2*2 = 18
18 defective chips, better than the average of 20.   The question is to find the expected number Q of defective chips, i guess it assume the minimum #, therefore it might not be 20.
Answer: B
Miguel is 41 years old. He is 3 years older than twice his son’s age. Find the age of his son.	Answers.
A) 11years B) 12years C) 13years D) 18years E) 19years

Solution: sons age=x   41-2x=3   x=19years   ANSW19yearsR:19years
Answer: E
The area of a rectangular plot is 20 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?	Options:
A) 10 metres B) 5 metres C) 7.5 metres D) Data inadequate E) None of these

Solution: L × B = 20 × B   ∴ L = 20 m   and L – B = 10   ∴ B = 20 – 10 = 10 m   10 metresnswer 10 metres
Answer: A
In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. If 20% of the ducks in the smaller pond are green and 40% of the ducks in the larger pond are green, then what percentage of ducks are green? Select the correct option
A) 25%
B) 27%
C) 29%
D) 31%
E) 33%

Solution: Number of ducks in small pond = 45   green ducks in small pond = 20 % of 45 = 9 ducks   Number of ducks in large pond = 55   green ducks in large pond = 40 % of 55 = 22 ducks   Total number of ducks = 45 + 55= 
45 + 55 = 100
100   total number of green ducks= 9 + 22= 
9 + 22 = 31
31 ducks   percentage of green ducks= 31/100 * 100= 
31/100 * 100 = 31
31%   Answer: 31%
Answer: D
People were sitting in a circle.7th one is direct opposite to 18th one..Then how many were there in that group?	Pick one:
A) 21
B) 22
C) 23
D) 24
E) 20

Solution: 7 th one is exactly opposite represents half of circle. with 7 and 18 total members are 12   for remaing half=12*2-2(7th and 18th(already taken))=22   ANSWER:22
Answer: B
If 3^x = 2, then 3^(4x+3) =
Choices
A) 429	B) 454	C) 432	D) 438	E) 108

Solution: 3^x=2   3^4x=2^4   3^4x=16   3^(4x+3)   =3^4x*3^3   =16*27= 
16*27 = 432
432   Answer: 432
Answer: C
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube?  Choose the correct choice from the following choices:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: If n is a perfect square and a perfect cube, then n = a^6 for some integer a.   The numbers are 1^6=1, 2^6=64, 3^6= 729, 4^6=4096, 5^6=15,625.   The answer is 5.
Answer: C
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Choose the correct choice: A) 38 B) 40 C) 42 D) 45 E) 80

Solution: Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 7) = x – 1   or, 35x + 42 = 42x – 42   or, x = 12   Thus the original expenditure of the mess = 35 x 12 = Rs. 42   42
Answer: C
A certain fraction has the same ratio to 1/36, as 4/7 does to 5/9. What is this certain fraction?
Choose the correct option:
A) 1/35
B) 1/42
C) 1/49
D) 1/56
E) 1/63

Solution: x / (1/36) = (4/7) / (5/9)   x = 4*9*1 / 36*7*5 = 1/35   The answer is 1/35.
Answer: A
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 144, then the number of hens will be Choose the correct choice from the following choices:	A) 22	B) 24	C) 26	D) 20	E) 28

Solution: 28xplanation :   Let number of hens = h and number of cows = c   number of heads = 50   => h + c = 48 ---(28quation 1)   number of feet = 144   => 2h + 4c = 144   => h + 2c = 72 ---(28quation 2)   (28quation 2) - (28quation 1) gives   2c - c = 72 - 50=> c = 22   Substituting the value of c in 28quation 1, we get   h + 22 = 50   => h = 50 - 22= 
50 - 22 = 28
28   i.e., number of hens= 28   Answer : 28
Answer: E
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choose the correct choice from the following
A) Rs.689  B) Rs.179  C) Rs.189  D) Rs.187  E) Rs.119

Solution: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36)   = Rs. 135   SP = CP[(100 + profit%)/100]   = 135 * [(100 + 40)/100]   = Rs.189.   Answer:Rs.189
Answer: C
A committee of four students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choose the correct choice from the following answers:
A) 3	B) 4	C) 5	D) 6	E) 8

Solution: Let's try a different problem with your approach. There are five people: A, B, C, D, E. Need to chose 3 for a committee. A and B cannot be chosen together. B and C cannot be chosen together. How many options?   Your approach: total 10 options, 5c3.   Now, assume the wrong scenario where A and B are chosen together. There are three such scenarios. (A and B are chosen, just need one more person.) So we have to subtract the three wrong options. Similarly, there are three wrong scenarios where B and C are chosen together.   This gives us   10-3-3= 
  10-3-3 = 4
4 as the answer.   Yet this answer is wrong. There are five possibilities: ACD, ACE, ADE, BDE, CDE.   6
Answer: D
Superman flies at a heroic rate of 10 miles per second- wow! What is his speed in kilometers per hour? [1km = 0.6 miles]
Choices.
A) 1,000 B) 12,000 C) 60,000 D) 30,000 E) 120,000

Solution: To calculate the equivalent of kilometres in a mile   10 miles = 10*(0.6)^-1 = 16.6667 kilometres   In 1 hour there are 60 minutes   In 1 minute there are 60 seconds   So in 1 hour there are 3600 seconds   Speed in kmph = 16.6667 * 3600 = 60000   60,000orrect answer - 60,000
Answer: C
A train met with an accident 90km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train? Choose one:
A) 60 km/hr
B) 55 km/hr
C) 65 km/hr
D) 90 km/hr
E) 48 km/hr

Solution: let the original speed be 6x. A/q, traveling 90 km at 5/6th of original speed costs him 12 minutes etc   90/5x =90/6x +12/90 -> x =10 , 9x= 90.   Ans 90 km/hr
Answer: D
What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.
II. The sum amounts to Rs. 750 in 5 years at S.I.
III. The rate of interest is 5% p.a. Choose the correct choice.
A) I and III only B) II and III only C) I and II only D) Any two of the three E) None of these

Solution: Explanation:   Clearly, any of the three will give us the answer   Answer: Any two of the three
Answer: D
How many times in a day, are the hands of a clock in straight line but opposite in direction?	Choose the correct choice from the following answers.
A) 21
B) 22
C) 17
D) 26
E) 25

Solution: B   22   The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).   So, in a day, the hands point in the opposite directions 22 times.
Answer: B
A committee is to be formed by randomly choosing 5 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?  Choices
A) 3/7  B) 4/7  C) 5/21  D) 6/21  E) 9/42

Solution: The total number of ways to form a committee is 7C5=21.   The number of committees which include Alice but not Bob is 5C4=5.   The probability that Alice is selected but Bob is not selected is 5/21.   The answer is 5/21.
Answer: C
What approximate value should come in place of the question mark (?) in the following equation?64.85 Ã— 12.25 â€“ 30.22 Ã— 8.95 = (52 + ?) Ã— 10  Choose the correct choice from the following answers.
A) 5.39435 B) 3.39435 C) 2.39435 D) 0.39435 E) 1.39435

Solution: Solve using approximation   Answer 0.39435
Answer: D
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the faster pipe is used?	Options
A) 11.25	B) 11.52	C) 1.25	D) 7.2	E) 9

Solution: Say the rate of the slower pipe is R pool/hour, then the rate of the faster pipe would be 1.25R=5R/4. Since when both pipes are opened, they fill the pool in five hours, then their combined rate is 1/5 pool/hour.   Thus we have that R + 5R/4 = 1/5 --> R = 4/45 pool/hour, faster pipe fills at 1.25R which is 5/4 * 4/45 = 1/9 --> time is reciprocal of rate thus it's 9/1= 
9/1 = 9
9 hours.   Answer: 9.
Answer: E
After decreasing 24% in the price of an article costs Rs.320. Find the actual cost of an article?	Choose the correct choice from the following choices:
A) 400 B) 520 C) 651 D) 525 E) 421

Solution: CP* (76/100) = 320   CP= 4.21 * 100 => CP = 421   ANSW421R:421
Answer: E
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:	Choose the correct choice from the following.
A) 21 B) 19 C) 23 D) 25 E) 26

Solution: Let the son's present age be x years. Then, man's present age = (x + 28) years.   (x + 28) + 2 = 2(x + 2)   x + 30 = 2x + 4   x = 26.   ANSW26R :26
Answer: E
A can do a piece of work in 12 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?
Choose the correct choice from the following answers.
A) 2
B) 4
C) 18
D) 6
E) 9

Solution: Explanation:   8/12 + 6/x = 1   X = 18 days   Answer:18
Answer: C