MU-NLPC/Calc-aqua_rat huggingface dataset:
A single letter is selected at random from the word 'CARE'. The probability that it is a vowel is..??
Choose the correct choice:
A) 2/11  B) 3/11  C) 4/11  D) 2/4  E) 1

Solution: total vowels = 2, total number of letters = 4   so probability = 2/4   ANSWER:2/4
Answer: D
When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to	Choose the correct choice from the following answers.
A) area  B) circumference  C) 4  D) 2π  E) None of these

Solution: According to question, circumference of circle = Area of circle   or πd = π(d⁄2)2 [where d = diameter]   ∴ d = 4   Answer 4
Answer: C
The least number by which 72 must be multiplied in order to produce a multiple of 112, is:  Choose the correct choice from the following answers:
A) 6  B) 12  C) 14  D) 18  E) 19

Solution: Required number is divisible by 72 as well as by 112, if it is divisible by their LCM, which is 1008.   Now, 1008 when divided by 72, gives quotient= 14.   Therefore, required number= 14.   ANSWER:14
Answer: C
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?	Choose the correct option
A) 3902 B) 3928 C) 3929 D) 3900 E) 39123

Solution: Area = (l + b – d) d   (80 + 60 – 10)10 => 1300 m2   1300 * 3 = Rs.3900   Answer:3900
Answer: D
John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Choose the correct answer:	A) 235 miles.	B) 245 miles.	C) 255 miles.	D) 265 miles.	E) 275 miles.

Solution: The total distance D traveled by John is given by   D = 45 * 2 + 3 * 55= 
45 * 2 + 3 * 55 = 255
255 miles.   Answer 255 miles.
Answer: C
Aaron had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him? Choose the most appropriate option
A) $3039	B) $3003	C) $3002	D) $3000	E) $3004

Solution: Let the money he took for shopping be m.   Money he spent = 30 % of m   = 30/100 × m   = 3/10 m   Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10   But money left with him = $ 2100   Therefore 7m/10 = $ 2100   m = $ 2100× 10/7   m = $ 21000/7= 
21000/7 = 3_000
$ 3000   Therefore, the money he took for shopping is $ 3000   Answer:$3000
Answer: D
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choose the correct option.
A) 50	B) 88	C) 66	D) 55	E) 22

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 46 - 36= 
46 - 36 = 10
10 km/hr.= 10 * 5/18 = 25/9 m/sec.   2x/36 = 25/9 => x = 50.   50nswer:50
Answer: A
In an aquarium there is 14 purple fish, 8 orange fish,12 pink fish, 3 golden fish. How many fish are there in an aquarium?	Choose the correct choice from the following options:
A) 27 B) 37 C) 17 D) 47 E) 07

Solution: 14+8+12+3= 
14+8+12+3 = 37
37. Answer is 37
Answer: B
If |20x-10| = 90, then find the product of the values of x?	Choose the correct choice from the following answers.
A) -45  B) 50  C) -62  D) 35  E) -20

Solution: |20x-10| = 90   20x-10 = 90 or 20x-10 = -90   20x = 100 or 20x = -80   x = 5 or x = -4   product = -4*5 = -20   Answer is -20
Answer: E
A trader marks his books 30% more than the cost price. If he allows 20% discount, then find his gain or loss percent?	Select the correct option:
A) 4% Gain  B) 12% loss  C) 4% loss  D) No profit No loss  E) None of these

Solution: Let CP of an book = 100   MP of an book = 130   Discount 20 % on 130 = 26   SP of the book = 130 - 26= 
130 - 26 = 104
104   Gain= 4%   4% Gainnswer : 4% Gain
Answer: A
The difference between simple and compound interest on Rs. 1400 for one year at 10% per annum reckoned half-yearly is? Choose one:
A) 8.25	B) 3.5	C) 9.0	D) 3.15	E) 2.0

Solution: S.I. = (1400 * 10 * 1)/100 = Rs. 140   C.I. = [1400 * (1 + 5/100)2 - 1400]   = Rs. 143.5 Difference = (143.5 - 140)   = Rs.3.50   Answer:3.5
Answer: B
If xy > 0, 1/x + 1/y = 4, and 1/xy = 6, then (x+y)/2 = ?	Choose the correct answer:
A) 1/25	B) 1/6	C) 1/5	D) 1/3	E) 6

Solution: (1/X+1/Y)=4 canbe solved as {(x+y)/xy}=6. Substituting for 1/xy=6, we get   x+y=4/6   ==> (x+y)/2= 4/(6*2)=1/3.   1/3
Answer: D
If S is the sum of reciprocals of a list of consecutive integers from 55 to 64, inclusive, S is approximately equal to  Select.
A) 0.16  B) 0.2  C) 0.3  D) 0.4  E) 0.5

Solution: We need to find the approximate value of 1/55+1/56+1/57+1/58+1/59+1/60+1/61+1/62+1/63+1/64. Now, the sum of these 10 terms will be very close to 10 times 1/60, which is 0.016*10=0.16.   0.16nswer: 0.16.
Answer: A
The percentage profit earned by selling an article for Rs. 1620 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?  Choose the most appropriate option.
A) 3000 B) 1812.5 C) 2000 D) 5600 E) 3400

Solution: C.P. be Rs. x.   Then, (1620 - x)/x * 100 = (x - 1280)/x * 100   1620 - x = x - 1280   2x = 2900 => x = 1450   Required S.P. = 125 % of Rs. 1450 = 125/100 * 1450 = Rs. 1812.5.   ANSWER 1812.5
Answer: B
Complete the series
13, 9, 5, 1, -3,-7 , -11...  Pick:
A) -4
B) 0
C) 3
D) -2
E) -15

Solution: In the above series clearly we know we can get the next term by subtract 4 from the previous term so the answer is Option -15) -15
Answer: E
How many different ways can 2 students be seated in a row of 5 desks, so that there is always at least one empty desk between the students?  Choose the correct choice from the following:  A) 2  B) 3  C) 4  D) 6  E) 12

Solution: 6 ways to seat the students:   with two empty seats between   1 empty w/ one student on the left most   1 empty....right most   two students can be interchanged   6x2=12   12
Answer: E
Positive Integer A gives the remainder of 20 when divided by another positive Integer B. If A/B = 47.50, what is the value of B? Choose the most appropriate option:
A) 96
B) 75
C) 40
D) 25
E) 12

Solution: .50 of B = Remainder   .50 of B = 20   B = (20 *100) / 50= 
(20 *100) / 50 = 40
40.   40
Answer: C
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?	Choose one:  A) 19  B) 17  C) 10  D) 18  E) 16

Solution: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.Answer: 10
Answer: C
In a workshop there are 5 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?	Choose the correct option: A) A)168. B) B)80. C) C)100. D) D)48. E) E)16.

Solution: ways to select one shelf = 2   ways to select one bed = 5   ways to select one of the following: a chair or a closet = 7+3= 
7+3 = 10
10   ways to select all of them together= 2*5*10= 
2*5*10 = 100
100   Answer : 100.
Answer: C
There is a 20% chance Sandy will visit China this year, while there is a 60% chance that she will visit Malaysia this year. What is the probability that Sandy will visit either China or Malaysia this year, but NOT both? Choose the most appropriate option:
A) 40%
B) 48%
C) 56%
D) 64%
E) 72%

Solution: P(56%hina and not Malaysia) = 0.2*0.4= 
0.2*0.4 = 0.08
0.08   P(Malaysia and not 56%hina)= 0.6*0.8= 
0.6*0.8 = 0.48
0.48   Total probability= 0.08 + 0.48= 
0.08 + 0.48 = 0.56
0.56= 56%   The answer is 56%.
Answer: C
If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:	Choices:
A) 9%
B) 26%
C) 50%
D) 80%
E) 34%

Solution: C   C.P. of each pen be Re. 1.   Then, C.P. of 8 pens = Rs. 8; S.P. of 8 pens = Rs. 12.   Gain % = 4/8 * 100= 
4/8 * 100 = 50
50%
Answer: C
In how many ways can a team of 4 persons be formed out of a total of 8 persons such that two particular persons should be included in each team?  Choose the most appropriate option:
A) 15	B) 20	C) 18	D) 22	E) 30

Solution: Two particular persons should be included in each team. Therefore we have to select remaining 4-2= 
4-2 = 2
2 persons from   8-2= 
  8-2 = 6
6 persons.   Hence, required number of ways= 6C2 = 15   15nswer is 15
Answer: A
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?	Choose the correct choice from the following answers:
A) 2 hrs B) 6 hrs C) 7 hrs D) 8 hrs E) 9 hrs

Solution: (A + B)'s 1 hour work = (1/12 + 1/15) = 3/20   (A + C)'s 1 hour work = (1/12 + 1/20) = 2/15   Part filled in 2 hrs = (3/20 + 2/15) = 17/60   Part filled in 6 hrs = 3 * 17/60 = 17/20   Remaining part = 1 - 17/20 = 3/20   Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour.   Total time taken to fill the tank = (6 + 1)= 
(6 + 1) = 7
7 hrs.   Answer:7 hrs
Answer: C
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/49, what is the probability that the next one she draws will be pink? Choose the correct option:	A) 1/49	B) 2/7	C) 3/7	D) 16/49	E) 40/49

Solution: The probability of drawing a pink gumball both times is the same. The probability that she drew two blue gumballs = 25/49 = (5/7) * (5/7)   Therefore probability that the next one she draws is pink = 2/7   Option (2/7)
Answer: B
If 3log(4*5^2) = x, find x
Choose the most appropriate option: A) 5 B) 6 C) 7 D) 8 E) 9

Solution: 3(log2^2*5^2)=x   3log(5*2)^2=x   3*2log(5*2)=x   6log10=x   log10 base 10=1   so   6*1=x   x=6   ANSWER:6
Answer: B
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?	Choose the correct choice from the following choices:  A) 1050  B) 1060  C) 1020  D) 1048  E) 1078

Solution: 600- - 84   90   6 510   1--12   85---1020   ANSWER 1020
Answer: C
The entry in the following sequence is determined by the rule if 1 is entry in the sequence the next three entries are n-1, entries are  Choose the correct choice from the following options:
A) 0,1,2  B) 0,-1,1  C) 0,1,2  D) 2,3,4  E) 0,1,0

Solution: at the starting point we have entry it just 1   now at the time of first entry we have n-1=1-1= 
1-1 = 0
0   now we have two entries that is 1(default) , 0(first entry)   now at the time of second entry we have n-1=2-1= 
2-1 = 1
1   so we have 0,1 and now at the time of third entry   n-1=3-1= 
3-1 = 2
2;   so   0,1,2   ANSWER:0,1,2
Answer: C
Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 10 phone numbers by using the readable digits followed by 10 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly? Select the correct option:
A) 1/9
B) 10/243
C) 1/27
D) 10/271
E) 1/1000000

Solution: If the last three digits have 1 zero (XX0), the total # of numbers possible is 9*9*3 (multiply by 3 since XX0 can be arranged in 3 ways: XX0, X0X, or 0XX).   If the last three digits have 2 zeros (X00), the total # of numbers possible is 9*3 (multiply by 3 since X00 can be arranged in 3 ways: X00, 00X, or X0X).   P = 10/(9*9*3+9*3) = 1/27.   Answer: 1/27.
Answer: C
three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’ share is: Select:	A) 2,000	B) 4,000	C) 5,000	D) 6,000	E) None

Solution: Sol.   Let C = x. Then, B = 4x and 2A = 3 * 4= 
3 * 4 = 12
12x or A= 6x.   ∴ A : B : C = 6x : 4x : x = 6 : 4 : 1.   So, B’s capital = Rs. [16500 * 4/11] = Rs. 6000.   Answer 6,000
Answer: D
Sachin is younger than Rahul by 14 years. If the ratio of their ages is 7:9, find the age of Sachin Choose the most appropriate option
A) 48 B) 24.8 C) 24.21 D) 24.88 E) 49

Solution: 49xplanation:   If Rahul age is x, then Sachin age is x - 14,   so,   9x - 126 = 7x   2x = 126   x = 63   So Sachin age is   63 - 14= 
  63 - 14 = 49
49   Answer: 49) 49
Answer: E
By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 5% on the marked price. His gain percent during the sale is?
Select:
A) 6%
B) 2%
C) 8%
D) 3%
E) 4%

Solution: Marked price = Rs. 300   C.P. = 100/120 * 300 = Rs. 250   Sale price = 95% of Rs. 300 = Rs. 285   Required gain % = 15/250 * 100= 
15/250 * 100 = 6
6%.   6%nswer: 6%
Answer: A
John builds a square with a side of 12 cm from some wire. If from the same wire, he builds a rectangle with a width of 6 cm, what will be the length of the rectangle? Answers.
A) 18 cm
B) 19 cm
C) 20 cm
D) 21 cm
E) None

Solution: Solution:   If the side of the square is 12 cm, then its perimetre will be 48 cm. We build the rectangle from the same wire, so it will have the same perimetre. Its width is 6 cm, so its length will be (48-12) ÷ 2 = 36 ÷ 2 = 18 cm   18 cmnswer 18 cm
Answer: A
The banker's discount on a sum of money for 3/2 years is Rs. 120. The true discount on the same sum for 2 years is Rs.150. What is the rate per cent?	Select
A) 3(1/3)% B) 4(1/3)% C) 3(2/3)% D) 4(2/3)% E) None of these

Solution: Explanation :   BD for 1(1/2) years = Rs. 120   => BD for 2 years = 120 × (2/3) × 2 = Rs.160   TD for 2 years = Rs. 150   F = (BD ×TD)/(BD – TD) = (160 × 150)/(160 – 150) = (160 × 150)/10 = Rs. 2400   => Rs.160 is the simple interest on Rs. 2400 for 2 years   ⇒ 160 = (2400 × 2 × R)/100   ⇒ R = (160 × 100)/(2400×2) = 160/48 = 10/3 = 3(1/3)% 3(1/3)%nswer 3(1/3)%
Answer: A
The average of 7 consecutive numbers is 20. The largest of these numbers is : Pick:
A) 21 B) 22 C) 23 D) 24 E) 25

Solution: Explanation:   Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,   Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.   or 7x + 21 = 140 or 7x = 119 or x =17.   Latest number = x + 6 = 23. Answer: 23
Answer: C
X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 20 days. How long will Y take to complete the work?	Choose one:
A) 10
B) 12
C) 25
D) 18
E) 20

Solution: Work done by X in 8days = 8*1/40 = 1/5   Remaining work = 1 - 1/5 = 4/5   4/5 work is done by Y in 20 days   Whole work will be done by Y in  20*5/4= 
 20*5/4 = 25
25days   Answer is 25
Answer: C
Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,264
III. 5,555,554,674 Choose the correct choice from the following options
A) I​ only	B) I, II​ & III	C) II and III	D) II Only	E) I​ and III

Solution: I. is divisible by 3 since sum of the digits is 24 , which is divisible by 3   II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3   III. is divisible by 3 since sum of the digits is divisible by 3   Thus among the given options only (I, II​ & III) holds true.
Answer: B
How many of the positive factors of 75 are not factors of 95? Choose the correct choice from the following choices
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: factors of 75- 1, 3, 5, 15, 25, 75,   Factors of 95 - 1, 5, 19, 95,   Comparing both, we have three factors of 75 which are not factors of 95- 3, 15, 25, 75,   The answer is 4
Answer: E
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 1 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choose the correct choice from the following choices
A) 5/21	B) 3/7	C) 4/7	D) 5/7	E) 2/7

Solution: There are suppose A B C D 2/7 F G members in the room 4 people who have exactly one sibling....A B C D....(A is Bs∘SSsibl∈g∘SSand∘SSviceversa)∘SS(C∘SSis∘SSDs∘SSsibl∈g∘SSand∘SSviceversa)∘SS(C∘SSis∘SSDssibl∈gandviceversa)(CisDs sibling and viceversa) (C is Ds sibling and viceversa)...now remaning 2/7FG are 3 people who have exactly 1 siblings....(2/7 has F and G as his/her sibling and so on..)   there are now 3 different set of siblings (A and B)   (C and D);(2/7FG)   Now first selecting 1 people out of 7 is 7C1=7   first sibling pair----(A and B)--selecting 1 people --1C1=1   second sibling pair (C and D)--selecting 1 people--1C1=1   third sibling pair (2/7 F G)--selecting 1 out of 3 --3C1=3   total= 1+1+3= 
1+1+3 = 5
5   but,a/c to formula P(success)-1-p(fail)   here,p(failure)is selecting 1 people who are siblings=5/7(7 is 7C1)   =1-5/7   =2/7   ANS 2/7
Answer: E
Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Choose the correct option: A) -3⁄2 < x < 1 B) -1 < x < 3⁄2 C) x > 1 D) x < -2⁄5 E) None of these

Solution: 2x2 + x – 3 < 0   ⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1   -3⁄2 < x < 1nswer -3⁄2 < x < 1
Answer: A
One half of a two digit number exceeds its one third by 4. What is the sum of the digits of the number?  Choose the correct choice from the following options.
A) A)3 B) B)6 C) C)7 D) D)9 E) E)11

Solution: x/2 – x/3 = 4 => x =24   2 + 4= 
2 + 4 = 6
6   ANSWER:6
Answer: B
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?	Choose one:
A) 1244
B) 1532
C) 1349
D) 1423
E) 1543

Solution: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.   First + second = third => we can eliminate 3 & 9 since  3 + 9= 
 3 + 9 = 12
12.   Last is 3 times the second=> we can eliminate option 2 & 6 since  3 * 6= 
 3 * 6 = 18
18.   Hence the number is 1349   1349
Answer: C
If the sum of the 4th term and the 12th term of an arithmetic progression is 16, what is the sum of the first 15 terms of the progression?	Choose the most appropriate option:
A) 80	B) 100	C) 105	D) 120	E) 110

Solution: 4th term + 12th term = 16   i.e., (a+3d)+(a+11d) = 16   Now, Sum of first 15 terms = (15/2) * [2a + (15-1)d]   = (15/2) * [2a + 14d]   = (15/2) * 16 --------------- From (1)   =120   Answer : 120
Answer: D
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and B quits 5 days before the project is completed, in how many days total will the project be completed? Pick.
A) 10  B) 12  C) 14  D) 16  E) 18

Solution: A's rate is 1/20 of the project per day.   B's rate is 1/30 of the project per day.   The combined rate is 1/12 of the project per day.   In the last 5 days, A can do 1/4 of the project.   Thus A and B must complete 3/4 of the project, which takes 9 days.   The total number of days is  9 + 5= 
 9 + 5 = 14
14.   The answer is 14.
Answer: C
Compound interest earned on a sum for the second and the third years are Rs.12000 and Rs.13800 respectively. Find the rate of interest?
Choose one:
A) 15% p.a.
B) 22% p.a.
C) 20% p.a.
D) 24% p.a.
E) None of these.

Solution: Rs.13800 - 12000 = Rs.1800 is the interest on Rs.12000 for one year.   Rate of interest = (1800/12000) * 100= 
(1800/12000) * 100 = 15
15% p.a   15% p.a.NSWER:15% p.a.
Answer: A
If a population of women in a town is 70% of men . What is the population of men as a % of population of women ?
Choose the correct choice from the following options: A) A)200% B) B)144% C) C)50% D) D)65% E) E)110%

Solution: We're told that the number of Women in a town is equal to 50% of the number of Men in that town.   IF....   Men = 10   Women = 7   We're asked for the number of Men, as a percentage of the number of Women.   M/W = 10/7 = 144%   Answer is 144%
Answer: B
S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product Z of all the fractions that are in S? Choose one:
A) 1) 1/20
B) 2) 1/21
C) 3) 1/2
D) 4) 19/40
E) 5) 19/20

Solution: 1/2 * 2/3 * 3/4 * ... 19/20   = 1/20   1) 1/20nswer - 1) 1/20
Answer: A
Median T of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.  Pick:
A) 38000 B) 47000 C) 48000 D) 51,000 E) 56,000

Solution: Median of the car is 52,000 therefore 52,000 is the middle number. Assuming Y >= X, X will have to be the median value i.e. 52,000. Therefore the remaining value would have to be between 52,000 and 57,000 inclusive. The only answer choice that fits T is 56,000.56,000
Answer: E
The area of the party hall of the kitchen is 50 m2 that of a longer wall 10 m2 and of the shorter wall 5 m2, find the edge of the new cube?
Choose the correct option:	A) 460 m3	B) 150 m2	C) 90 m3	D) 40 m3	E) 50 m3

Solution: lb = 50 ; lh = 10 ; fh = 5   (lbh)2 = 50 * 10 * 5 => lbh = 50 m3   ANSW50 m3R:50 m3
Answer: E
If x is an integer and 6.1 × 10^x is less than 620 what is the greatest possible value for x?
Answers
A) 2	B) 6	C) 5	D) 4	E) 3

Solution: If x=2   6.1 × 10^2 = 610 < 620   So, x = 2   2nswer : 2
Answer: A
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the E odds that it is an ace?  Choose the most appropriate option:
A) 1/52
B) 1/26
C) 1/13
D) 1/4
E) 5/13

Solution: The question should ask about the probability not the odds.   There are 13 spades, the probability E that the spade we already have is an ace is therefore 1/13.   Answer: 1/13.
Answer: C
A bag contains 5 red, 4 blue and M green
balls if the probability of getting both the balls
green, when two balls are selected at
random is 1/7, find M  Choose the correct choice from the following:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: mC2/m+9C2=1/7   on solving   (m! / (m-2! * 2!) ) / (m+9! / (m+7! * 2!) ) =1/7 From nCr=n! / r!*(n-r)!   on solving   (m! / (m-2)! ) * ( (n-7)! / (n+7)!) =1/7   after solving and cross multiplication   m^2+4m-12=0   on solving   m=2,-6   so m will be 2.   ANSWER:2
Answer: B
At a conference table, 7 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 7 employees?
Options: A) 740 B) 750 C) 720 D) 760 E) 790

Solution: Head's sit is fixed. Now 6 people is left with 6 seats.   6 people can sit on 6 seats in 6! ways or 720 ways.   Ans is 720
Answer: C
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?  Options:
A) 3587.51
B) 3587.98
C) 3587.5
D) 3587.29
E) 3572.5

Solution: I = (8200 * 2.5 * 17.5)/100   = (8200 * 5 * 35)/(100 * 2 * 2)   = Rs.3587.50   Answer: 3587.5
Answer: C
In a barrel of juice there is 50 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?	Answers: A) 3:2. B) 2:1. C) 3:1. D) 4:3. E) 6:5

Solution: Juice barrel : beer Barrel = 50:80 i.e. 3:8   price of Juice : Price of Beer = 3 : 4   so for 5/8 costs 3/4, ie 5J / 8B = 3/4.   Solving for J/B, we get 6:5   Answer 6:5.
Answer: E
A single discount equivalent to the discount series of 20%, 10% and 25% is?	Answers.
A) 31.9	B) 31.7	C) 31.6	D) 31.5	E) 46

Solution: 100*(80/100)*(90/100)*(75/100)= 
100*(80/100)*(90/100)*(75/100) = 54
54   100 - 54= 
100 - 54 = 46
46   Answer:46
Answer: E