MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the CP of Rs 100 stock at 6 discount, with 1/5% brokerage?
Select the correct option:
A) 96.9  B) 96.3  C) 94.2  D) 96.7  E) 96.21

Solution: Explanation:   Use the formula,   CP= 100 â€“ discount + brokerage%   CP= 100-6+1/5   94.2   Thus the CP is Rs 94.2.   ANSWER: 94.2
Answer: C
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will make a basket?  Choose the correct answer: A) 1/336 B) 5/336 C) 11/336 D) 1/168 E) 1/84

Solution: The probability that all three will make a basket is 1/6*1/7*1/8=1/336.   The answer is 1/336.
Answer: A
A team scored a total of 154 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Pick:
A) A)6
B) B)7
C) C)8
D) D)9
E) E)11

Solution: 154/14= 
154/14 = 11
11 plus remainder.   The answer is 11.
Answer: E
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?  Answers:
A) 21/112
B) 36/145
C) 3/115
D) 2/115
E) 3/116

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
If a + xy = a and x is not equal to 0, which of the following must be true?	Pick:
A) y=0
B) x>y
C) y<x
D) x-y=0
E) x+y=0

Solution: a + xy = a --> xy=0. Since x is not equal to 0, thus y = 0.   y=0nswer: y=0
Answer: A
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.4, what is the probability that Malachi will return home at the end of the day on the following Monday?  Choose the correct option.
A) 0.008	B) 0.125	C) 0.144	D) 0.512	E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probability of rain = 0.4   Therefore, probability of no rain = 0.6   0.6*0.6*0.4= 
0.6*0.6*0.4 = 0.144
0.144   Hence 0.144
Answer: C
If four cards are drawn at random from a well shuffled pack of cards, what is the probability that each card is an ace? Choose the correct choice from the following options: A) 6/52C4 B) 4/52C4 C) 1/52C4 D) 3/52C4 E) 5/52C4

Solution: Four cards can be drawn from a pack in 52C4 ways.   Let E be the event of each card being an ace.   This can be done in 4C4 i.e, 1 way.   So P(E) = 1/521/52C44   ANSWER:1/52C4
Answer: C
A football team lost 5 yards and then gained 9. What is the team's progress?  Choose the correct choice from the following answers:
A) 1
B) 3
C) 2
D) 4
E) 5

Solution: For lost, use negative. For gain, use positive.   Progress = -5 + 9= 
-5 + 9 = 4
4 yards   correct answer is 4)4
Answer: D
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate go?
Choose the correct choice from the following.
A) 57%
B) 60%
C) 65%
D) 90%
E) None

Solution: Solution   Total no of votes polled   = ( 1136 + 7636 + 11628)= 
( 1136 + 7636 + 11628) = 20_400
20400.   Required percentage= [11628 / 20400 x 100]%   = 57%.   57%nswer 57%
Answer: A
Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed? Pick:
A) 3 pm
B) 2 pm
C) 1:00 pm
D) 11 am
E) 12 am

Solution: Explanation :   Work done by P in 1 hour = 1/8   Work done by Q in 1 hour = 1/10   Work done by R in 1 hour = 1/12   Work done by P,Q and R in 1 hour = 1/8 + 1/10 + 1/12 = 37/120   Work done by Q and R in 1 hour = 1/10 + 1/12 = 22/120 = 11/60   From 9 am to 11 am, all the machines were operating.   Ie, they all operated for 2 hours and work completed = 2 × (37/120) = 37/60   Pending work = 1- 37/60 = 23/60   Hours taken by Q an R to complete the pending work = (23/60) / (11/60) = 23/11   which is approximately equal to 2   Hence the work will be completed approximately 2 hours after 11 am ; ie around 1 pm   Answer : Option 1:00 pm
Answer: C
The distance from City A to City B is 200 miles. While driving from City A to City B, Glen drives at a constant speed of 40 miles per hour. Hannah leaves City A 108 minutes after Glen. What is the minimum constant speed in miles per hour that Hannah must exceed in order to arrive in City B before Glen?	Pick one:
A) 52.5	B) 55	C) 57.5	D) 60	E) 62.5

Solution: The time it takes Glen to drive to City B is 200 / 40= 
200 / 40 = 5
5 hours.   Hannah needs to take less than 3.2 hours for the trip.   Hannah needs to exceed a constant speed of  200 / 3.2= 
 200 / 3.2 = 62.5
62.5 miles per hour.   The answer is 62.5.
Answer: E
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Choose the correct choice from the following choices.
A) 87 B) 67 C) 23 D) 75 E) 25

Solution: Let the initial number of members in the group be n.   Initial total weight of all the members in the group = n(48)   From the data,   48n + 78 + 93 = 51(n + 2) => 51n - 48n = 69 => n = 23   Therefore there were 23 members in the group initially.   Answer: 23
Answer: C
The value for A=(0.889 × 55)/9.97 to the nearest tenth is	Choose the correct choice from the following choices:  A) 0.5  B) 4.63  C) 4.9  D) 7.7  E) 49.1

Solution: if we read the Q, we can easily home on to the answer,,   the numerator is clearly between 40 and 50..   denomiator is close to 10..   so A=(0.889 × 55)/9.97 is between 4 and 5..   It may tempt us to solve it since ther are two values between 4 and 5..   but the catch is innearest tenth   4.63 can be called nearest to hundreth and no tenth, so can be eliminated..   4.9 is our answer...   4.9
Answer: C
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Pick one
A) 87 cm2	B) 28 cm2	C) 98 cm2	D) 26 cm2	E) 40 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 32/2= 
2.5 * 32/2 = 40
40 cm2   Answer:40 cm2
Answer: E
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 9000 interest. The principal amount borrowed by him was.  Choose one.
A) Rs 14000 B) Rs 25000 C) Rs 16000 D) Rs 17000 E) None of these

Solution: Explanation:   S.I.=Pâˆ—Râˆ—T/100   =>P=S.I.âˆ—100/Râˆ—T   =>P=9000âˆ—100/12âˆ—3=Rs25000   Option Rs 25000
Answer: B
A motor pool has 500 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?	Choose the correct option.
A) 165%
B) 90%
C) 53%
D) 55%
E) 10%

Solution: Trucks = 30% of 500 = 150   Other Vehicles (Excluding Trucks) = 500-150= 
500-150 = 350
350   Diesel Vehicle= 20% of 500 = 100 (Including 15 Trucks)   Other Diesel Vehicles (Excluding Trucks) = 100-15= 
100-15 = 85
85   Trucks that are NOT diesel= 150 - 15= 
150 - 15 = 135
135   Other Vehicles that are NOT diesel Vehicles= 350-85= 
350-85 = 265
265   Required %= (265/500)*100= 
(265/500)*100 = 53
53%   Answer: option 53%
Answer: C
Find the average of all prime numbers between 30 and 50.	Choose one:  A) 30  B) 33.6  C) 39.8  D) 44.9  E) None

Solution: Sol.   There are five prime numbers between 30 and 50.   They are 31, 37, 41, 43 and 47   ∴ Required average = [31 + 37 + 41 + 43 + 47 / 5] = 199/ 5= 
199/ 5 = 199/5 = around 39.8
39.8   Answer 39.8
Answer: C
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?  Pick.
A) 4.1%  B) 4.04%  C) 4.35%  D) 5.04%  E) 4%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.   (A2 - A1) = [(102)2 - (100)2]   = (102 + 100) x (102 - 100)   = 404 cm2.   Percentage error = 404 x 100 % = 4.04%   100 x 100   4.04%
Answer: B
A man can row at 5 kmph in still water. If the velocity of current is 2 kmph and it takes him 1 hour to row to a place and come back, how far is the place? Choose the correct option:	A) 2.1 km	B) 2.9 km	C) 3.4 km	D) 4.4 km	E) 5.6 km

Solution: Explanation:   Speed in still water = 5 kmph   Speed of the current = 1 kmph   Speed downstream = (5+2)= 
(5+2) = 7
7 kmph   Speed upstream= (5-2)= 
(5-2) = 3
3 kmph   Let the required distance be x km   Total time taken= 1 hour   â‡’ x/7+x/3=1   â‡’3x+7x=21   â‡’10x=21   â‡’x=2.1 km   2.1 kmnswer: Option 2.1 km
Answer: A
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded? Choose the correct choice:
A) 0.14  B) 0.26  C) 0.49  D) 0.55  E) 0.86

Solution: probability of adams approval = 0.7   baker approval =0.5   corfu approval=0.4   proabability of approval is must adam approval and atleast one approval   = adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+   adam approval*baker not approval*coffu approval( atleast one remaining approval   = 0.7*0.5*0.4+0.7*0.5*0.6+0.7*0.5*0.4   =0.14+0.21+0.14= 
0.14+0.21+0.14 = 0.49
0.49   so answer 0.49 sufficient
Answer: C
If the odd numbers between 20 to 40 are arranged in a row, what will be the 6th number from the right? Choose the correct option.
A) 27 B) 31 C) 33 D) 25 E) 29

Solution: 21,23,25,27,29,31,33,35,37,39 these are odd numbers between 20 to 30. The question is 6th number from the right is 29   ANSW29R:29
Answer: E
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a black and the second card is a spade is? Select
A) 1/16  B) 1/8  C) 1/13  D) 1/26  E) 1/52

Solution: Probability of a black card= 26/52 = 1/12   Probability of a jack = 13/52 = 1/4   Probability of both = P1*P2 = 1/(2*4) = 1/8   Answer is 1/8.
Answer: B
What would be the seventh rung of the following pyramid?
1
11
21
1211
111221
312211
13112221	Choices:
A) 1113213211
B) 1223213211
C) 1527321321
D) 1112343211
E) 1532213211

Solution: A   1113213211. 1113213211fter the first line, each line describes the previous line as follows:   One 1   2 Ones   One 2, One 1   (and so on...)
Answer: A
Cindy wants to buy dolls for her playhouse. Each doll costs $10. Cindy's mother gives her $30 to spend. How many dolls can Cindy buy with the money her mother gave her?
Choose the correct choice from the following answers.
A) 5
B) 10
C) 2
D) 1
E) 3

Solution: E. 3
Answer: E
A man has Rs. 560 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) 90  B) 94  C) 96  D) 105  E) 99

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 560   16x = 560   x = 35.   Hence, total number of notes = 3x = 105.   105
Answer: D
I. x2 - x - 42 = 0,
II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y? Choose the correct choice from the following answers: A) If x < y B) If x > y C) If x ≤ y D) If x ≥ y E) If x = y or the relationship between x and y cannot be established.

Solution: I. x2 - 7x + 6x - 42 = 0   => (x - 7)(x + 6) = 0 => x = 7, -6   II. y2 - 8y - 9y + 72 = 0   => (y - 8)(y - 9) = 0 => y = 8, 9   => x < y   If x < yNSWER:If x < y
Answer: A
4
x
<
y
<
0
which of the following is greatest?	Answers
A) x+3y  B) 2x-y  C) -(5x+y)  D) -x+2y  E) 4x+3y

Solution: Plugging in -1 for both x and y we get   A.x+3y =-4   B. 2x-y=-1   C. -(5x+y)=6   D. -x+2y =-1   E. 4x+3y=-7   Answer: -(5x+y)
Answer: C
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of 11,400 at the end of nine years, how much money did he borrow?
Choose the correct choice from the following answers:	A) 10,000	B) 12,000	C) 14,000	D) 16,000	E) None of these

Solution: Let the sum borrowed be x. Then,   (x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11400   ⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11400   ⇒ x = (11400×100/95)= 12000   Hence, sum borrowed = 12,000.   Answer 12,000
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 110 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?	Pick one
A) 28 sec  B) 16 sec  C) 35 sec  D) 18 sec  E) 17 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 110= 
240 + 110 = 350
350 m.   Time taken= 350/10= 
350/10 = 35
35 sec.   Answer:35 sec
Answer: C
If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is
Choices:
A) 85
B) 100
C) 120
D) 240
E) None of these

Solution: The number of ways of selecting 3 persons from 12 people under the given condition :   Number of ways of arranging 3 people among 9 people seated in a row, so that no two of them are consecutive   = Number of ways of choosing 3 places out of the 10[8 in between and 2 extremes]   = 101203 = 10×9×8/3×2×1=5×3×8=120   Answer 120
Answer: C
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choose the most appropriate option.
A) 11 days	B) 13 days	C) 21 days	D) 16 days	E) 18 days

Solution: W21 days = 2:1   2x + x = 1/7   x = 1/21 => 21 days   Answer: 21 days
Answer: C
An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant?
Pick one:
A) 20
B) 43
C) 38
D) 10
E) 55

Solution: The answer is 10.   If the spider started at a corner diagonally on the same face as the ant the answer would be 9, and if the spider started at an adjacent corner the answer would be 7.   Let x=number of turns to reach ant from starting point.   Let y=number of turns to reach ant from diagonal corner on same face as ant.   Let z=number of turns to reach ant from an adjacent corner to ant.   After one turn the spider will be on a diagonal corner of a common face as the ant. So the mean number of turns from the x position is one more than the mean number from the y position:   E(x)=1+E(y).   Once at a y position there is a 2/3 chance it will then move to a z position, and a 1/3 chance back to an x position:   E(y)=(2/3)*(1+E(z))+(1/3)*(1+E(x)).   If the spider arrives at a z position there is a 1/3 chance it will move to the ant, and a 2/3 chance it will move back to a y position:   E(z)=(1/3)*1+(2/3)*(1+E(y)).   With these three equations and three unknowns it is not difficult to solve for E(x), E(y), and E(z).   correct answer 10
Answer: D
Find the value of 72519 x 9999 = m?
Select the correct option:
A) 345454621
B) 565767443
C) 457672466
D) 725117481
E) 665355224

Solution: 72519 x 9999 = 72519 x (10000 - 1)   = 72519 x 10000 - 72519 x 1   = 725190000 - 72519= 
725190000 - 72519 = 725_117_481
725117481   725117481
Answer: D
The average of five numbers is 70. If one number is excluded, the average becomes 72. The excluded number is?	Choose the correct choice from the following choices.
A) 8	B) 6	C) 58	D) 35	E) 62

Solution: 62xcluded number   = (70 * 5) - (72 * 4)   = 350 - 288= 
350 - 288 = 62
62   Answer:62
Answer: E
Convert the 12/36 m/s into kilometers per hour?  Choose the correct answer:
A) 3.5 kmph.
B) 2.5 kmph.
C) 1.2 kmph.
D) 1.5 kmph.
E) 1.9 kmph.

Solution: 15/36 m/s = 12/36 * 18/5 = 1 (1/5) = 1.2 kmph.   ANSWER:1.2 kmph.
Answer: C
The average age 4 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?  Options: A) 8 years B) 17 years C) 18 years D) 12 years E) 11 years

Solution: 4 * 2= 
4 * 2 = 8
8   8 yearsnswer:8 years
Answer: A
Real-estate salesman Z is selling a house at a 10 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 10 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct option.
A) 38/6 B) 38/5 C) 77/81 D) 38/7 E) 38/10

Solution: Let the retail price be = x   Selling price of Z = 0.90x   Selling price of X = 0.90*0.90= 
0.90*0.90 = 0.81
0.81x   Selling price of Y= ((0.90x + 0.81x)/2)*0.90 = 0.86x * 0.90 = 0.77x   0.77x = k * 0.81x   k = 0.77/0.81 = 77/81   Answer: 77/81
Answer: C
10 play kabadi, 35 play kho kho only, 5 play both gmaes. Then how many in total? Choose the most appropriate option.
A) 30	B) 35	C) 38	D) 40	E) 45

Solution: 10 play kabadi =>n(A)=10,   5 play both gmaes.=> n(AnB)=5   35 play kho kho only,=>n(B)=n(B only)+n(AnB)=35+5= 
35+5 = 40
40   Total=> n(AUB)= n(A)+n(B)-n(AnB)   = 10+40-5= 
10+40-5 = 45
45   ANSW45R:45
Answer: E
If a toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 1/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? Pick:
A) 1/4  B) 1/2  C) 2/3  D) 2  E) 4

Solution: Let 2ec rev =100   Then Nov rev is 4/5 (100) => 80   Therefore Jan rev = 1/4(Nov rev) = 1/4(80) => 20   Hence 2ec rev = x*( Nov rev+Jan rev)/2   100 = x* (80+20)/2   x = 100/50= 
100/50 = 2
> 2   Ans) 2
Answer: D
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m, what is its area?
Choose the correct choice from the following
A) 2510	B) 3650	C) 2530	D) 2515	E) 2520

Solution: length = breadth +23. Therefore,   4× breadth +2×23=246 m   ⇒ breadth =50 m   length =50+23= 
50+23 = 73
73 m   Area=73×50=3650 m2   Answer is 3650.
Answer: B
If a randomly selected non-negative single digit integer is added to {2, 3, 5, 8}. What is the probability that the median of the set will increase but the range still remains the same?	Choose the correct choice from the following answers
A) 0.2 B) 0.3 C) 0.4 D) 0.5 E) 0.6

Solution: We are selecting from non-negative single digit integers, so from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. These 10 digits represent the total number of outcomes.   Hence, the total number of outcomes is 10.   We need to find the probability that the median of the set will increase but the range still remains the same.   The median of the set is  (3 + 5)/2= 
 (3 + 5)/2 = 4
4, thus the number selected must be 5 or greater.   For the range to remain the same, the number must be between 2 and 8 inclusive.   To satisfy both conditions, the number selected must be 5, 6, 7, or 8.   The probability is  4/10= 
 4/10 = 2/5 = around 0.4
0.4   The answer is 0.4.
Answer: C
There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?  Choices:
A) 9!*2!
B) 7!*2!
C) 6!*1!
D) 2!*1!
E) 5!*1!

Solution: Total number of ways = 9!*2!.   9!*2!
Answer: A
The C.P of 20 pens is equal to the S.P of 22 pens. Find his gain % or loss%?
Choose the correct choice from the following:
A) 6 2/11%
B) 7 2/11%
C) 9 1/11%
D) 8 1/11%
E) 10 1/11%

Solution: 20 9 1/11%P = 22 SP   22 --- 2 9 1/11%P loss   100 --- ? => 9 1/11%   Answer: 9 1/11%
Answer: C
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.	Choose the correct choice from the following answers:
A) 36	B) 54	C) 67	D) 76	E) None

Solution: Sol.   Let the length of the train be x metres.   Then, the train covers x metres in 8 seconds and (x + 180) metres in 20 seconds.   ∴ x/8 = x + 180 / 20 ⇔ 20x = 8(x + 180) ⇔ x = 120.   ∴ Length of the train = 120 m.   Speed of the train = [120/8]m/sec = m/sec = [15 * 18/5= 
15 * 18/5 = 54
54 kmph.   Answer 54
Answer: B
which of the following could be the greatest common factor of positive integers 4 and 8 ?
I) 8 II) 4 III) 2
Pick:
A) III only B) II only C) I only D) I,II only E) II,III only

Solution: 4=2*2   8=2*2*4   GCF = 2*2= 
2*2 = 4
4   Answer : II only
Answer: B
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?  Choose the correct answer.
A) 82,92
B) 63,98
C) 83,98
D) 60,84
E) 63,98

Solution: (5x-25):(7x-25) = 35:59   x = 12 => 60,84   Answer:60,84
Answer: D
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?  Choose the correct choice from the following answers
A) 10  B) 5  C) 15  D) 20  E) 25

Solution: Amount of work P can do in 1 day = 1/20   Amount of work Q can do in 1 day = 1/30   Amount of work R can do in 1 day = 1/60   P is working alone and every third day Q and R is helping him   Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5   So work completed in 15 days = 5 × 1/5 = 1   Ie, the work will be done in 15 days.   Answer is 15.
Answer: C
In a School, 69 percent of students Participated in Chess, 74 percent of students Participated in Table Tennis, 84 percent Participated in Carom and 79 percent Participated in shuttle.
Can you find out the percentage of students who Participated in all 4 Competition? Choose the correct choice from the following answers.
A) 12%	B) 10%	C) 6%	D) 18%	E) 19%

Solution: 6%   6% of student Participated in all four 6%ompetition.
Answer: C
Sam's grade was 60th percentile of the 100 grades for his class. Of the 120 grades from another class, 48 were higher than Sam's, and the rest were lower. If no other grade was the same as Sam's grade, then Sam's grade was what percentile of the grades of the two classes of two classes combined? Select.
A) 51st
B) 60th
C) 67th
D) 72nd
E) 92nd

Solution: 51st/60th/67th/72nd/92nd   Correct option: 60th
Answer: B
How many numbers amongst the numbers 7 to 41 are there which are exactly divisible by 9 but not by 3?
Options.
A) Nil
B) 1
C) 2
D) 3
E) More than 3

Solution: 9,18,27,36 are divisible by 9 and 3 also.So there are no numbers exactly divisible by 9 but not by 3   NilNSWER:Nil
Answer: A
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $300,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment? Choose the correct choice from the following answers
A) $1,250
B) $1,733
C) $3,466
D) $13,333
E) $20,796

Solution: 0.04x + 0.09y = 300000 [1]   0.04x = 0.80 * 300000= 
0.80 * 300000 = 240_000
240000 [2]   240000 + 0.09y= 300000 --> 0.09y = 60000 [3]    240000 / 12= 
 240000 / 12 = 20_000
20000 [4]    60000 / 12= 
 60000 / 12 = 5_000
5000 [5]   $1,250dding [4,5] we get: 25000 [6]   Dividing [6] / 2 to get an average we get 1.25,$1,250NS $1,250
Answer: A