MU-NLPC/Calc-aqua_rat huggingface dataset:
(0.12)(power 3) - (0.1)(power 3)/ (0.12)(power 2) + 0.012 + (0.1)(power 2) is:
Pick:	A) 0.68	B) 0.086	C) 0.86	D) 0.068	E) None of them

Solution: Given expression   = (0.12) (power 3) - (0.1)(power 3) / (0.12)(power 2) + (0.12 x 0.1) + (0.1)(power 2)   = a (power 3) - b(power 3) / a(power 2) + ab + b(power 2)   = (a - b)   = (0.12 - 0.1)= 
(0.12 - 0.1) = 0.02
0.02   Answer is None of them.
Answer: E
Find the no.of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat?	Pick:
A) 7!	B) 3!	C) 9!	D) 10!	E) 11!

Solution: Ans.(B)   Sol. Total number of persons = 4 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 3 places in 3P3 = 3! Ways ... The number of required arrangements = 3! x 1= 3! = 3! ways
Answer: B
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?  Pick one:
A) 18 litres	B) 24 litres of wine	C) 32 litres	D) 42 litres	E) None

Solution: Solution   Let the quantity of the wine in the cask originally be x litres   then, quantity of wine left in cask after 4 operations   = [x(1- 8/x)4] litres.   Therefore x(1- 8/x)4 / x = 16/81 =› (1- 8/x)4 = (2/3)2   =› (x - 8 / x) = 2/3 =› 3x - 24 = 2x =› x = 24.   Answer 24 litres of wine
Answer: B
January 1, 2008 is Tuesday. What day of the week lies on Jan. 1, 2009 ? Options.
A) Sunday	B) Monday	C) Wednesday	D) Thursday	E) Friday

Solution: The year 2008 is a leap year. So, it has 2 odd days.   1st day of the year 2008 is Tuesday (Given)   So, 1st day of the year 2009 is 2 days beyond Tuesday.   Hence, it will be Thursday.   answer :Thursday
Answer: D
A woman can row upstream 14 kmph and downstream 26 kmph. Find the rate of the stream and woman rate in still water.
Choose the correct option.
A) 4,20  B) 20,20  C) 8,20  D) 20,5  E) 6,20

Solution: 6,20xplanation:   Please remember,   If a is rate downstream and b is rate upstream   Rate of current = 1/2(a-b)   Rate in still water = 1/2(a+b)   => Rate of current = 1/2(26-14) = 6 kmph   => Rate in still water = 1/2(26+14) = 20 kmph   Option 6,20
Answer: E
Find the odd man out
2, 4, 8, 16, 24, 32,64
Select.
A) 2  B) 4  C) 24  D) 32  E) 64

Solution: 2^1=2   2^2 = 4   2^3 =8   2^4=16   2^5=32   2^6=64   ANSWER:24
Answer: C
If 148 is multiplied first by 163 and then by 236, Which of the following numbers would come at the unit's place?	Answers: A) 8 B) 6 C) 4 D) 3 E) None of these

Solution: Explanation:   148 * 163 * 236 = 8 * 3 * 6 = 4 at the unit's place.   When the numbers are multiplied, the unit digit of the final product is obtained as the product of the unit digits of individual numbers.   ANSWER: 4
Answer: C
A pupil's marks were wrongly entered as 85 instead of 33. Due to that the average marks for the class got increased by half. The number of pupils in the class is : Pick:
A) 30	B) 104	C) 20	D) 25	E) 26

Solution: Let there be x pupils in the class.   Total increase in marks = (X*1/2) = X/2.   X/2 = (85 - 33)   => X/2 = 52   => X = 104.   ANSWER:104
Answer: B
If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"MANGO" would be Choose the correct choice from the following:
A) 82357 B) 89343 C) 84629 D) 82347 E) 88347

Solution: M-8   A-2   N-3   G-4   O-7   so for mango the code is 82347   ANSWER:82347
Answer: D
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?  Choose the correct choice from the following
A) 9/209  B) 9/27  C) 9/20  D) 9/22  E) 9/21

Solution: Explanation:   Here, S = {1, 2, 3, 4, ...., 19, 20}.   Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.   P(E) = n(E)/n(S) = 9/20.   Answer: 9/20) 9/20
Answer: C
Amit and Ananthu can do a work in 10 days and 20 days respectively. Amit started the work and left after 2 days. Ananthu took over and completed the work. In how many days was the total work completed?  Select:
A) 18 days
B) 20 days
C) 23 days
D) 25 days
E) 27 days

Solution: 18 daysmit’s one day’s work= 1/10   18 daysmit’s 2 day’s work = 1/10 *2 = 1/5   Work left= 1-1/5 = 4/5   18 daysnanthu’s one day’s work= 1/20   18 daysnanthu can do work in = 4/5 *20= 
4/5 *20 = 16
16 days   So total days= 16+2= 
16+2 = 18
18 days   18 daysNSWER:18 days
Answer: A
Ms. Williams sold two properties, X and Y, for $20,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?	Pick
A) $1600.67  B) $1500.67  C) $1450.67  D) $1706.67  E) $1666.67

Solution: There is a property to solve such questions withCommon Selling PriceandCommon %gain and loss. such cases always result in a loss and...   Total %Loss = (Common Gain% or Loss%/10)^2   Hence Here Loss% = (20/10)^2 = 4%   which means he recovered only 96% of his investment which amount to a total revenue = 20000 + 20000= 
20000 + 20000 = 40_000
40000   i.e. 96% of cost= 40000   therefore, 4% of cost (Loss) = $1666.67   Answer: $1666.67
Answer: E
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Pick one:
A) 10/21  B) 11/21  C) 2/7  D) 5/7  E) 6/7

Solution: Explanation:   Total number of balls = (2 + 3 + 2)= 
(2 + 3 + 2) = 7
7.   Let S be the sample space.   Then, n(S)= Number of ways of drawing 2 balls out of 7   = 7C2 `   =	(7 x 6)/ (2 x 1)   = 21.   Let E = Event of drawing 2 balls, none of which is blue.   n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.   = 5C2   =	(5 x 4) / (2 x 1)   = 10.   P(E) =	n(E)	/ n(S) = 10/21.   10/21NSWER IS 10/21
Answer: A
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?	Select:	A) 120 sec	B) 198 sec	C) 178 sec	D) 665 sec	E) 276 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }   = LCM (60, 40) = 120 sec.   120 secnswer:120 sec
Answer: A
In how many ways can a cricket eleven be chosen out of a batch of
15 players ? Select the correct option
A) 1635	B) 1365	C) 1536	D) 3651	E) 1366

Solution: Required number of ways = 15c11 = 15c(15-11) = 11c4   = 15x14x13x12/4x3x2x1 = 1365.   Answer 1365.
Answer: B
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choose the correct choice from the following answers:
A) 17% B) 19% C) 18% D) 14% E) 16%

Solution: Total CP = Rs. 42000 + Rs. 13000   = Rs. 55000 and SP   = Rs. 64900   Profit(%) = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer: 18%
Answer: C
hree unbiased coins are tossed. What is the probability of getting at least 2 tails?	Choose the correct choice: A) 0.5 B) 0.8 C) 0.2 D) 0.9 E) 0.1

Solution: Explanation:   S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}   E = {HTT, THT, TTH, TTT}   n(S) = 8   n(E) = 4   P(E) =n(E) / n(S) = 4/8= 
4/8 = 1/2 = around 0.5
0.5   0.5NSWER: 0.5
Answer: A
In a weight-lifting competition, the total weight of Joe's two lifts was 1800 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?	Answers:
A) 225  B) 275  C) 325  D) 350  E) 700

Solution: This problem is a general word translation. We first define variables and then set up equations.   We can define the following variables:   F = the weight of the first lift   S = the weight of the second lift   We are given that the total weight of Joe's two lifts was 1800 pounds. We sum the two variables to obtain:   F + S = 1800   We are also given that twice the weight of his first lift was 300 pounds more than the weight of his second lift. We express this as:   2F = 300 + S   2F – 300 = S   We can now plug in (2F – 300) for S into the first equation, so we have:   F + 2F – 300 = 1800   3F = 2100   F = 700   Answer is 700.
Answer: E
Ashwin rented a power tool from a rental shop. The rent for the tool was $25 for the first hour and $10 for each additional hour. If Ashwin paid a total of $125, excluding sales tax, to rent the tool, for how many hours did she rent it?
Choose the correct choice from the following answers:
A) 11 B) 12 C) 15 D) 18 E) 16

Solution: 25 + 10n = 125   n = 10   Total time = n+1 hrs = 10+1= 
10+1 = 11
11 hrs   11nswer : 11
Answer: A
A thief is noticed by a policeman from a distance of 220 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?  Choose the correct choice from the following choices.
A) 120	B) 277	C) 2987	D) 278	E) 271

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 220 - 100= 
220 - 100 = 120
120 m.   120nswer: 120
Answer: A
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Select the correct option.
A) 7	B) 6	C) 5	D) 2	E) 4

Solution: A + B + 5 = 48   B + 5 + D = 45   A + D = 13   A – D = 3   A + D = 13   2D = 10   D = 5   Answer: 5
Answer: C
The sum of money at compound interest amounts to thrice itself in 4 years. In how many years will it be 15 times itself?
Choices
A) 8 years	B) 16 years	C) 2 years	D) 6 years	E) 3 years

Solution: 100 ---- 300 --- 4   900 --- 4   1200----4   1500---4   16 years   Answer: 16 years
Answer: B
A bag contains 3 red, 3 green and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Select the correct option:	A) 5/7	B) 11/14	C) 16/21	D) 19/28	E) 23/35

Solution: P(no red balls) = 6/9*5/8*4/7 = 5/21   P(at least one red ball) = 1 - 5/21 = 16/21   The answer is 16/21.
Answer: C
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast? Choose one
A) 7500  B) 3600  C) 8900  D) 9000  E) 5000

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2250   100%---------? => 7500   7500NSWER 7500
Answer: A
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house? Choose the correct choice from the following answers.
A) 3 2/5 Km
B) 3 1/5 Km
C) 4 Km
D) 5 1/5 Km
E) None

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 20/6   = 24/2 * 20/60   = 20/5= 
20/5 = 4
4 Km   4 Km
Answer: C
Ten years ago, Q was half of R's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?  Choose the correct choice from the following answers.
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Let present age of P and Q be x and 2x respectively.   Ten years ago, Q was half of R's age   ⇒(x−10)=2(2x−10)   ⇒x−10=4x−20   ⇒3x=10   ⇒x=10/3   Total of their present ages=x+2x   =>10/3 + 20/3   =>30/3= 
30/3 = 10
>10   ANSWER:10
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?  Choose the correct choice from the following choices:	A) 227	B) 240	C) 987	D) 178	E) 171

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer:240
Answer: B
Rs.630/- distributed among A,B and C such that on decreasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:? Choose the correct choice from the following answers
A) Rs.160/-	B) Rs.170/-	C) Rs.180/-	D) Rs.190/-	E) Rs.200/-

Solution: Rs.160/-:B:C = 3:4:5   Total parts = 12   Rs.160/-'s share is = 3 parts   12 -----> Rs.600/-   3 -----> Rs.150/-   Rs.160/-'s total = 150 + 10 = Rs.160/-   Rs.160/-)
Answer: A
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? Choices:
A) 227  B) 1668  C) 5400  D) 1688  E) 1671

Solution: 100x + 400 = 12(x – 5)   x = 50   100 * 50 + 400= 
100 * 50 + 400 = 5_400
5400   Answer:5400
Answer: C
If q>0.9, which of the following options can be the value of q?  Choose the correct option:
A) 0.9^2
B) √(0.9)
C) 0.09
D) 0.9
E) 0.9^3

Solution: Lets take a few examples   When .2 is squared it gives .04   when .5 is squared it gives .25   When .9 is squared it gives .81   So raising a fraction to its power of 2 or 3 only reduces the value of the fraction   This is because   .2 = 2/10   .2^2= 4/100   .2^3=8/1000   Since the denominator gets an extra 0 each time u increase the power , it is going to drag the value down   √(0.9)ut if you just think about the opposite case :   Then we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value   that is √(0.04) will give you back 0.2   so √(0.04) > 0.04   so obviously diminishing the power will appreciate the value   So q √(0.9) > 0.9   Hence Correct Answer is (√(0.9))
Answer: B
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work? Answers.
A) 20 days  B) 19 days  C) 10 days  D) 12 days  E) 15 days

Solution: 1/3 ---- 6   1 -------? 20 days = 18   R = 1/18 * 60/100 = 1/30   1 ----- 1/30--- 2/3 ---- 20 days   20 daysNSWER 20 days
Answer: A
After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is ?  Pick.
A) Rs. 10000 B) Rs. 10074.75 C) Rs. 10100 D) None of these E) Cannot be determined

Solution: Answer   ∵ 95% of gross value = 9595   ∴ gross value = (9595 x 100)/95 = 10100   Rs. 10100orrect Option: Rs. 10100
Answer: C
During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?	Pick
A) 280
B) 320
C) 360
D) 420
E) 480

Solution: Easy 280 is the answer.   3/4 ( x/2) = 105   x = 105 * 8 /3= 
105 * 8 /3 = 280
280.   280nswer 280
Answer: A
A train traveling at 144 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters? Choices:
A) 240 meters
B) 360 meters
C) 480 meters
D) 600 meters
E) Cannot be determined

Solution: Answer   Distance covered by the train when crossing a man and when crossing a platform   When a train crosses a man standing on a platform, the distance covered by the train is equal to the length of the train.   However, when the same train crosses a platform, the distance covered by the train is equal to the length of the train plus the length of the platform.   The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover. i.e., length of the platform.   Compute length of platform   Length of the platform = speed of train * extra time taken to cross the platform.   Length of platform = 144 kmph * 12 seconds   Convert 144 kmph into m/sec   1 kmph = 5/18 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).   ∴ 144 kmph = 5/18∗144 = 40 m/sec   Therefore, length of the platform = 40 m/s * 12 sec = 480 meters.   480 metershoice 480 meters
Answer: C
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 80 m, then its area is??  Choose the most appropriate option
A) 2000 m^2 B) 2340 m^2 C) 375 m^2 D) 2556 m^2 E) 2534 m^2

Solution: We have: (l - b) = 10 and 2(l + b) = 80 or   (l + b) = 40   2 l = 50 => l = 25 & b = 15   Area = 25 * 15= 
25 * 15 = 375
375 m^2   Answer : 375 m^2
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?  Choose the correct choice from the following choices.
A) 23/35 B) 23/36 C) 23/18 D) 23/17 E) 23/12

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green   = (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂   = (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7   = 46/70 = 23/35   23/35nswer:23/35
Answer: A
What values of 'x' will be the solution to the inequality 15x - 2/x > 1?  Choices:
A) x > 0.4  B) x < 1/3  C) -1/3 < x < 0.4, x > 15/2  D) -1/3 < x < 0, x > 2/5  E) x < --1/3 or x > 2/5

Solution: Explanatory Answer   We can rewrite the above inequality as 15x - 2/x- 1 > 0   i.e., 15x2−2−x/x> 0   i.e., 15x2−6x+5x−2/x> 0   Factorize the quadratic expression: (5x−2)(3x+1)/x > 0   The above inequality will hold good if the numerator and denominator are both positive or are both negative.   Possibility 1: When (5x - 2)(3x + 1) > 0 and x > 0   This will hold true for values of 'x' that do not lie between -1/3 and 2/5 and for x > 0.   Combining all these conditions, we get x > 2/5   Possibility 2: When (5x - 2)(3x + 1) < 0 and x < 0.   This will hold true for the following values of 'x': -1/3 < x < 2/5 and x < 0.   Combining, we get -1/3< x < 0.   Therefore, the range of values of x for which the above inequality will hold true is: -1/3 < x < 0 ∪∪ x > 2/5   Choice -1/3 < x < 0, x > 2/5
Answer: D
In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?	Options.
A) V and U
B) V and T
C) U and S
D) L and M
E) T and U

Solution: L and M should serve on A   ANSWER:L and M
Answer: D
What is the sum of digits of (5!*4!*3!*2! - 144*120)/5! Pick:
A) 22
B) 4
C) 12
D) 3
E) 7

Solution: (5!*4!*3!*2! - 144*120)/5!   =(5!*4!*3!*2! - 24*6*5!)/5!   =(5!*4!*3!*2! - 4!*3!*5!)/5!   =5!*4!*3!(2!-1)/5!   =120   Sum of digits=3   Answer 3
Answer: D
Find the distance covered by a man walking for 42 min at a speed of 10km/hr? Choose the correct choice:	A) 7km	B) 3km	C) 4km	D) 5km	E) 6km

Solution: Distance = 10*42/60= 
10*42/60 = 7
7 km   7kmnswer is 7km
Answer: A
Which expression has the greatest value?	Choose the correct choice:
A) 1977452/1977455 B) 1982466/1982469 C) 1982487/1982490 D) 1982456/1982459 E) 1982465/1982468

Solution: The difference between each numerator/denominator pair is three.   The largest expression (which in this case will also be the closest to one) is the expression where '3' is the smallest fraction of the numerator (or the denominator).   The largest numerator is 1982487, or C, and this will give an expression with a value closest to one.   We can also demonstrate that this approach works with some simple logic. Taking numerator/denominator pairs that differ by three...   1/4= 
1/4 = 1/4 = around 0.25
0.25   2/5= 
2/5 = 2/5 = around 0.4
0.4   3/6= 
3/6 = 1/2 = around 0.5
0.5   ...   27/30= 
27/30 = 9/10 = around 0.9
0.9   ...   1982487/1982490= 0.999998486...   ANSWER:1982487/1982490
Answer: C
If positive integer k is divided by 14, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a prime number
III. k is divisible by 4
Choose the correct choice from the following answers:
A) None	B) I	C) II	D) III	E) I and II only

Solution: k = 14m+2 = 2(7m+1)   I. k + m = 2(17m+1) + m => even if only m is even, however m can be odd => not always true   II. k can not be a prime: not always true:   m=0 => k=2 : a prime   III. not true if m is even   Nonens: none of the above
Answer: A
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44.5 meters. How many times did the ball bounce?
Choose the correct choice from the following answers:  A) 4  B) 6  C) 7  D) 8  E) 9

Solution: Division of total diatance travelled will be 16+16+8+4+0.5   4ns: 4
Answer: A
A can do a work in 24 days and B can do it in 8 days. In how many days A and B can do the work?  Pick
A) 20 days
B) 10 days
C) 6 days
D) 8 days
E) 7 days

Solution: Explanation:   A's 1day's work = 1/24   B's 1day's work = 1/8   They work together = 1/24 + 1/8 = 6 days   Answer: Option 6 days
Answer: C
A gambler bought $5,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
Select.
A) $4,040
B) $4,120
C) $1,960
D) $4,920
E) $1,400

Solution: In order to maximize the amount of money that the gambler kept, we should maximize # of $20 chips lost and minimize # of $100 chips lost, which means that # of $20 chips lost must be 2 more than # of $100 chips lost.   So, if # of $20 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chips lost is 16: x+x-2=16 --> x=9: 9 $20 chips were lost and 9-2= 
9-2 = 7
7 $100 chips were lost.   Total worth of chips lost is   9*20+7*100= 
  9*20+7*100 = 880
$880, so the gambler kept $5,000-$880=$4,120.   Answer: $4,120.
Answer: B
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Choose the correct choice from the following options
A) 32 B) 4/7 C) 6/15 D) 1/26 E) 8/16

Solution: Explanation:   Here, n(S) = 52.   Let E = event of getting a queen of club or a king of heart.   Then, n(E) = 2.   P(E) =n(E)/n(S)=2/52=1/26   Answer: 1/26
Answer: D
What is the ratio whose term differ by 50 and the measure of which is 2/7?
Choose the correct choice from the following answers:	A) A)32:23	B) B)16:56	C) C)71:85	D) D)20:70	E) E)41:52

Solution: Let the ratio be x:(x+50)   Then, x/(x+50) = 2/7   x=20   required ratio = 20:70   Answer is 20:70
Answer: D
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 65.0. What is the quiz score of the student who dropped the class?
Choose the correct choice.
A) a) 10	B) b) 25	C) c) 40	D) d) 55	E) e) 70

Solution: Total Score of 16 students is  16*62.50= 
 16*62.50 = 1_000
1000   Total Score of 15 students is  15*65= 
 15*65 = 975
975   So, the score of the person who left is 25 ( 1000 - 975 )   Answer will be (b) 25)
Answer: B
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c? Choose the correct choice from the following options:
A) 38029
B) 38000
C) 38028
D) 38009
E) 38019

Solution: CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer: 38000
Answer: B
If $1092 are divided between worker A and worker B in the ratio 5:8,what is the share that worker B will get? Choose the correct choice.
A) 60.32% B) 61.54% C) 62.21% D) 62.76% E) 63.87%

Solution: Worker 61.54% will get 8/13 = 61.54%   The answer is 61.54%.
Answer: B