MU-NLPC/Calc-aqua_rat huggingface dataset:
If the cost price of 10 pens is equal to the selling price of 8 pens, the gain percent is:	Choose the correct choice
A) 9%
B) 25%
C) 50%
D) 80%
E) 34%

Solution: Solution :   Let cost price of the price be Rs.1   8 pens C.P. = 8   10 pens S.P. = 10   Gain = 2/8*100= 
2/8*100 = 25
25 %   Answer : 25%
Answer: B
A cyclist covers a distance of 800 meter in 4 minutes 20 seconds. What is the speed in km/hr of the cyclist?  Choices
A) 6.2 km/h	B) 8.4 km/hr	C) 11.05 km/hr	D) 16.07 km/hr	E) 15.07 km/hr

Solution: Speed =	Distance /Time   Hint: 11.05 km/hronvert minutes into seconds   Time=4 min 20 sec =260 sec   Speed =	800 /260   = 3.07 m/sec   11.05 km/hronvert the speed from m/s to km/hr by multiplying with (5/18)   3.07 x	18 /5 km/hr = 11.05 km/hr   ANSWER IS 11.05 km/hr
Answer: C
In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of all the literate and illiterate employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :  Choose the correct option:
A) 12
B) 11
C) 10
D) 27
E) 22

Solution: Explanation:   Total employees = \inline \frac{(25-10)\times 20}{10}=30   Hence number of educated employees = 30-20= 
30-20 = 10
10   Answer: 10) 10
Answer: C
Current age of Bruce and Tomy r in the ratio of 5:4 respectively. 3 years hence, the ratio of their ages will become 11:9 respectively. What is Tomy 's present age in years?	Choose the correct option:
A) 16 years  B) 20 years  C) 24 years  D) 26 years  E) 28 years

Solution: Let the present ages of Bruce and Tomy be 5x years and 4x years respectively.   Then, 5x + 3 = 11   4x + 3 9   9(5x + 3) = 11(4x + 3)   45x + 27 = 44x + 33   45x - 44x = 33 - 27= 
33 - 27 = 6
6.   Anand's present age= 4x = 24 years.   24 years
Answer: C
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?  Pick one:
A) 2
B) 2(2/9)
C) 3 (3/7)
D) 3 (1/7)
E) 4

Solution: Here r = 10 % ,x = 100 and A = 5 kg   Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)   2(2/9)
Answer: B
Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?	Choices:
A) 6√ 2π
B) 4√ 2π
C) 8√ 2π
D) 7√ 2π
E) 5

Solution: square forms two right angled triangles.   Any time we have a right angle triangle inside a circle, the hypotenuse is the diameter.   hypotenuse here = diagonal of the square = 8 sqrt(2) = diameter   => radius = 4 sqrt(2)   8√ 2πircumference of the circle = 2pi r = 8 pi sqrt(2)   Answer is 8√ 2π.
Answer: C
There are 8 executives, including the CEO and CFO, that are asked to form a small team of 4 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choose the correct choice from the following choices:
A) 45 B) 55 C) 65 D) 75 E) 85

Solution: The total number of ways to form a team of 4 is 8C4=70.   We need to subtract the number of teams that have both the CEO and the CFO.   The number of teams with both the CEO and CFO is 6C2=15.   The number of ways to form an acceptable team is  70-15= 
 70-15 = 55
55.   The answer is 55.
Answer: B
33 1/3% OF 240?  Choose the correct option
A) 80  B) 90  C) 110  D) 120  E) 130

Solution: 33 1/3 % = 1/3   1/3 × 240 = 80   80)
Answer: A
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers Q are there between 6* + 2 and 6* + 6, inclusive?
Choose the most appropriate option
A) None  B) One  C) Two  D) Three  E) Four

Solution: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.   Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes Q in this range.   Nonenswer: None.
Answer: A
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Choose the correct choice from the following
A) 287 sq.cm	B) 655 sq.cm	C) 654 sq.cm	D) 600 sq.cm	E) 266 sq.cm

Solution: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.   BE2 + AE2 = AB2   252 = 152 + AE2 AE = √(625 - 225)= 
(625 - 225) = 400
√400= 20,   AC = 20 + 20= 
20 + 20 = 40
40 cm.   Area of a rhombus= 1/2 * d1d2   = 1/2 * 40 * 30= 
1/2 * 40 * 30 = 600
600 sq.cm.   Answer: 600 sq.cm
Answer: D
A certain no. when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15? Choose the correct choice from the following options:
A) 3 B) 4 C) 6 D) 7 E) 9

Solution: Explanation:   80 + 25= 
80 + 25 = 105
105/15= 
105/15 = 7
7 (Remainder)   7
Answer: D
A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, 3, 5, and 6 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?  Answers:
A) 97/100
B) 121/125
C) 343/400
D) 609/625
E) 729/1000

Solution: P(no even digits) = 2/5*2/5*2/5*2/5 = 16/625   P(at least one even digit) = 1 - 16/625 = 609/625   The answer is 609/625.
Answer: D
A and B can do a piece of work in 2 days, B and C in 3 days, C and A in 4 days. How long will C take to do it? Choose the correct choice from the following answers
A) 14 days B) 20 days C) 22 days D) 24 days E) 26 days

Solution: 2c = 1/3 + 1/4 – 1/2 = 1/12   c = 1/24 => 24 days   ANSWER:24 days
Answer: D
Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 120. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)? Choose the correct choice from the following answers
A) (a)100	B) (b) 81	C) (c) 82	D) (d) 83	E) (e) 84

Solution: T1: 1,2,3,4,5   T2: 2,3,4,5,6   T3: 3,4,5,6,7   etc.   means that every multiple of 6 will be involved in 5 sets. We have (120-6)/6+1= 
(120-6)/6+1 = 20
20 such multiples.   So, final number of sets is  20*5= 
 20*5 = 100
100   (a)100nswer: (a)100
Answer: A
Set J consists of 15 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J? Select the correct option
A) 10 B) 12 C) 14 D) 16 E) 20

Solution: Since there are only 15 integers, another approach is the just list all 15.   We get:-10, -8, -6, -4, -2,0,2, 4, 6, 8, 10, 12, 14, 16, 18   Range of POSITIVE INTEGERS =18 - 2= 
18 - 2 = 16
16   Answer: 16
Answer: D
The age of Ram and Suba are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Suba? Answers.
A) 11 B) 12 C) 13 D) 14 E) 15

Solution: Let ages of Ram and Suba are R & S respectively, then   R/S = 5/6 => R = (5/6)*S -------(1)   after 4 years,   (R+4)/(S+4) = 7/8   => 8R+32 = 7S+28   => 8*5S/6 = 7S - 4 [from (1)]   => 20S = 21S - 12   => S = 12   present age of Suba = S = 12 Years   ANSWER:12
Answer: B
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?  Answers:
A) 22.4  B) 22.9  C) 22.2  D) 79.2  E) 23.7

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 264)/20 = y   y = 22   Speed = 22 m/sec = 22 * 18/5= 
22 * 18/5 = 396/5 = around 79.2
79.2 km/hr.   Answer:79.2
Answer: D
Rs 3200 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part. Choose the correct option.
A) s 400	B) s 200	C) s 800	D) s 500	E) s 100

Solution: Explanation :   Average rate = (144/3200)*100= 
(144/3200)*100 = 9/2 = around 4.5
4.5   Ratio= 5:15   So, first part = (5/20)*3200= 
(5/20)*3200 = 800
Rs 800.   Answer :s 800
Answer: C
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.  Pick
A) 128  B) 197  C) 127  D) 182  E) 091

Solution: Explanation:   Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.   Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11)= 
(208) - (11) = 197
197.   Answer:197
Answer: B
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations of soloists can appear in the liner notes? Choose the correct option
A) 5! B) 10!/(5!5!) C) 10! D) 10!*5! E) 5!*5!

Solution: There are 10 soloists ------------- (1)   Room available is only for 5 soloists -------------- (2)   There is no issue for sequencing, i.e selected 5 soloists say for eg : A,10!/(5!5!),C,D,E are same as C,E,D,10!/(5!5!),A   Therefore from (1) & (2),   Number of ways of selecting 5 different soloists from 10 is 10C5   = 10!/(5!*5!)   ANSWER:10!/(5!5!)
Answer: B
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Choose the correct choice from the following answers:
A) 3/200
B) 1/59
C) 1/56
D) 1/54
E) 1/53

Solution: The probability of selecting girl is: 25/100 = 1/4   The probability of selecting rich is: 20/100 = 1/5   The probability of selecting fair complexioned is: 30/100 = 3/10   Three are independent;probability of rich and fair complexioned girl is:   (1/4) Ã—(1/5) Ã— (3/10) = 3/200   3/200nswer: 3/200
Answer: A
What is the present worth of Rs. 154 due in 2 years at 5% simple interest per annum
Choose the correct choice from the following options:
A) 110
B) 120
C) 130
D) 140
E) None of these

Solution: Explanation:   Let the present worth be Rs.x   Then,S.I.= Rs.(154 - x)   = (x*5*2/100) = 154 - x   = 10x = 15400 - 100x   = 110x = 15400   x= 140   Answer: 140
Answer: D
A man24years older than his son. In two years, his age will be twice the age of his son. The present age of the son is ?
Choose the correct choice from the following options
A) 17years B) 15yeras C) 31years D) 29years E) 22years

Solution: Let the son's present age be x   Then , man's present age = x+24   (x+24)+2 = 2(x+2)   x+26 = 2x+4   x = 22   Answer is 22years
Answer: E
The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:	Choose the correct answer:	A) 276	B) 299	C) 224	D) 345	E) 365

Solution: Clearly, the numbers are (16 x 13) and (16 x 14).   Larger number = (23 x 14) = 224. Answer: Option 224
Answer: C
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?  Select
A) 19  B) 81  C) 12  D) 13  E) 17

Solution: d2 = 122 + 42 + 32   = 13   Answer:13
Answer: D
P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?
Choose the correct choice from the following answers:
A) Rs. 8400
B) Rs. 10,500
C) Rs. 13,600
D) Rs. 14,700
E) None of these

Solution: Explanation:   Let amount subscribed for R be x.   Therefore, Q = x + 5000 and P = x + 5000 + 4000 = x + 9000   So, x + x + 5000 + x + 9000 = 50000   3x = 36000   x = 12000   P : Q : R = 21000 : 17000 : 12000 = 21 : 17 : 12   P’s share = 25000 X (21/50) = Rs. 10,500   ANSWER Rs. 10,500
Answer: B
the hiker walking at a constant rate of 6 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 30 miles per hour. the motor-cyclist stops to wait for the hiker 12 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the motor-cyclist wait until the hiker catches up?
Select.
A) 30	B) 36	C) 40	D) 48	E) 60

Solution: For the 12 minutes the motor-cyclist continues to overtake the hiker, she is going at 24 miles per hour faster than the hiker.   Once the motor-cyclist stops, the hiker is going at 6 miles per hour while the motor-cyclist is at rest   So the amount of time the hiker will take to cover the distance between them is going to be in the ratio of the relative speeds. 24/6 * 12 or 48 minutes   Answer is (48)
Answer: D
In a box, there are 3 blue, 4 white and 6 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?	Choose the correct choice from the following answers:
A) 3/16 B) 5/16 C) 6/13 D) 6/15 E) 9/32

Solution: Total number of bulbs = (3 + 4 + 6)= 
(3 + 4 + 6) = 13
13.   Let E= event that the bulb drawn is neither white nor blue = event that the bulb drawn is yellow.   Therefore, P(E)=6/13   ANSWER:6/13
Answer: C
What proximate value should come in place of the question mark (?) in the following question?
9.595 Ã— 1084 + 2568.34 â€“ 1708.34 = ? Choose the correct choice from the following
A) 6,000  B) 12,000  C) 10,000  D) 11228  E) 22397

Solution: ? â‰ˆ 9.6 Ã— 1080 + 2560 â€“ 1700 â‰ˆ 10368 + 860 â‰ˆ 11228   Answer 11228
Answer: D
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Choose the correct answer.
A) 21	B) 23	C) 26	D) 29	E) 30

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   On dividing 2497 by 60, the remainder is 37.   Number to be added = (60 - 37)= 
(60 - 37) = 23
23.   answer :23
Answer: B
Tim has 3 dogs named Rocky, Dash and Tango. Rocky and Dash together weigh 120 pounds. Dash and Tango
together weigh 280 pounds. All three together weigh 310 pounds. What is Dash’s weight? Choose the correct option:
A) 30 lbs
B) 45 lbs
C) 60 lbs
D) 80 lbs
E) 90 lb

Solution: Given:   Weight of Rocky + Dash = 120 ----- (i)   Weight of Dash + Tango = 280 ----- (ii)   Weight of Rocky + Dash + Tango = 310 ----- (iii)   Putting the value of Rocky + Dash from equation (i) in equation (iii)   120 + Tango = 310   Tango = 190 lbs   Now putting the value of Tango in equation (ii)   Dash + 190 = 280   Dash = 90lbs   Option 90 lb
Answer: E
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?  Select: A) 27729 B) 27772 C) 12992 D) 13500 E) 26782

Solution: P = (184*106) / [6 2/3 * 6 2/3 *(300*6 2/3)]   P = 13500.Answer: 13500
Answer: D
P, Q, R enter into a partnership and their share are in the ratio 1/2:1/3:1/4. After two months, P withdraws half of his capital and after 10 more months, a profit of Rs 378 is divided among them. What is Q's share?  Pick.
A) 121  B) 156  C) 169  D) 148  E) 144

Solution: The ratio of their initial investment   =1/2:1/3:1/4=6:4:3   Let the initial investment of P, Q and R be 6x,4x and 3x respectively.   A:B:C   =(6x×2+3x×10):4x×12:3x×12   =(12+30):4×12:3×12=(4+10):4×4:12=14:16:12=7:8:6   B's share =378×8/21=18×8=144   Answer is 144.
Answer: E
Three unbased coins are tossed. the probability of getting at most one tail and two head is ?	Choose the correct choice from the following:
A) 3/8
B) 7/8
C) 3/4
D) 1/5
E) 2/3

Solution: S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}   E be the event of getting at least two head is {THH,HTH,HHT}   P(E)=n(E)/n(S)=3/8   3/8nswer(3/8)
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream? Choose the correct choice from the following choices:
A) 80,70 kmph  B) 80,40 kmph  C) 10,40 kmph  D) 80,80 kmph  E) 90,30 kmph

Solution: Speed downstream = 60 + 30= 
60 + 30 = 90
90 kmph   Speed upstream= 60 - 30= 
60 - 30 = 30
30 kmph   Answer: 90,30 kmph
Answer: E
Jane makes toy bears. When she works with an assistant, she makes 100 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?	Choose the correct choice from the following choices:
A) 20%	B) 80%	C) 100%	D) 180%	E) 200%

Solution: We can use fractional equivalents here to solve the problem   80% = 4/5; this means that in 1st case if she prepares 5 bears, in 2nd case she prepares 9 bears   10% = 1/10; this means that in 1st case if she needs 10 hours, in 2nd case she needs 9 hours   Now we come to productivity   Based on above fractional values the productivity in 1st case is 0.5 bears / hour and in the 2nd case it is 1 bear / hour   Hence the productivity is double with the assistant i.e. the increase in productivity is 200%   200%
Answer: E
What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular decagon (10-sided polygon)?	Choose the correct choice from the following answers:
A) 3/10 B) 2/5 C) 2/7 D) 10/21 E) 5/11

Solution: From any vertex, there are two vertices on sides, which do not make a diagonal but a side.   So the remaining n-3 vertices make diagonals.   There are 2 of these diagonals which are the shortest.   The probability of choosing one of the shortest diagonals is 2/7.   The answer is 2/7.
Answer: C
A 50-liter solution of milk and water is 5 percent alcohol. If 1.5 liters of milk and 8.5 liters of water are added to this solution, what percent of the solution produced is milk?  Choose the correct choice from the following options:
A) 5.5% B) 6% C) 6 1/3% D) 6 1/5% E) 6 2/3%

Solution: 5% milk in 50 litre solution = 2.5 litres   adding 1.5 litres to it makes it total of 4 litres   total solution = 60 litres   % milk = 4/60 * 100 = 6.666667%   Answer - 6 2/3%
Answer: E
The price of a TV was increased by 30 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases? Answers.
A) 82%
B) 75%
C) 65%
D) 50%
E) 45%

Solution: consider base price - $100   30% increase = 1.30*100= 
1.30*100 = 130
$130   another 40% increase on new price= 1.4* 130= 
1.4* 130 = 182
$182   so final price of radio - $182   therefore a 82% increase   correct option - 82%
Answer: A
A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?  Answers:
A) Rs. 120
B) Rs. 121
C) Rs. 122
D) Rs. 123
E) Rs. 124

Solution: Amount = [1600 * (1 + 5/(2 * 100)2 + 1600 * (1 + 5/(2 * 100)]   = [1600 * 41/40(41/40 + 1)   = [(1600 * 41 * 81)/(40 * 40)] = Rs. 3321.   C.I. = 3321 - 3200 = Rs. 121.   ANSWER:Rs. 121
Answer: B
How many arrangements of the letters of the word GUIDE can be made, without changing the place of the vowels in the word?  Choose the correct choice from the following answers:
A) 4  B) 6  C) 2  D) 3  E) 5

Solution: U,I,E fixed. 2onsonants can be arrangements in 2p2 = 2! = 2 ways   Option '2'
Answer: C
A train 250 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?  Pick.
A) 6 sec.
B) 7 sec.
C) 9 sec.
D) 15 sec.
E) None

Solution: Solution   Speed of the train relative to man	=( 68 - 8 )= 
( 68 - 8 ) = 60
60 Kmph= 60 x 5 / 18   =50/3 m/sec.   Time taken by it to cover 250 m at (50 /3)m/sec   = (250 x 3/50)sec   = 15 sec.   Answer 15 sec.
Answer: D
There are 600 military people in a division of the army. There is one Officer for every 23 soldiers in that division. Now the question is how many officers are in the division?	Options:  A) 22  B) 35  C) 37  D) 73  E) 25

Solution: E   25   23 soldiers + 1 officer makes a group of 24 people. Now number of such groups = 600/24= 
600/24 = 25
25.
Answer: E
After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
Choose the correct choice from the following options:
A) 1667
B) 6789
C) 1200
D) 1100
E) 1421

Solution: CP* (76/100)   = 836   CP= 11 * 100 => CP   = 1100   Answer: 1100
Answer: D
In an examination a pupil's average marks were 63 per paper. If he had obtained 30 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination? Select:	A) 8	B) 9	C) 10	D) 16	E) 12

Solution: Let the number of papers be x. Then,   63x + 30 + 2 = 65x   = 2x = 32   = x = 16.   ANSWER:16
Answer: D
0.0005215/0.000305 x 6.2=?	Pick:
A) 10.6  B) 11.3  C) 12.7  D) 13.4  E) 14.5

Solution: Explanation :   ? = 0.0005215/0.000305 x 6.2 = 10.6   10.6nswer : Option 10.6
Answer: A
How many positive integers less than 100 are neither multiples of 3 or 4.
Choose the correct choice from the following answers: A) a)50 B) b)31 C) c)32 D) d)33 E) e)34

Solution: To answer this Q we require to know   1) multiples of 3 till 100 = 100/3 = 33   2) Multiples of 4 till 100 = 100/4= 
100/4 = 25
25   add the two 25+33= 
25+33 = 58
58 ; subtract common terms that are multiple of both 3 and 4..   LCM of 4 and 3= 12   Multiples of 6 till 100 = 100/12 = 8.3 = 8   so total multiples of 3 and 4 = 58-8= 
58-8 = 50
50   ans= 100-50= 
100-50 = 50
50   a)50
Answer: A
If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?	Choose the correct choice from the following:
A) 1:4 B) 2:4 C) 3:4 D) 4:4 E) 5:4

Solution: Solution   If x be the side of the original square, then its area is equal to   x2   If x is doubled to 2x, then the new area is equal to   (2x)2 = 4 x2   The ratio of the areas of the original square to the area of the new square   x2 / (4 x2) = 1 / 4 or 1:4   1:4NSWER IS 1:4
Answer: A
It takes Joey the postman 1 hours to run a 6 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?	Choose the correct answer:	A) 11	B) 12	C) 13	D) 14	E) 15

Solution: let his speed for one half of the journey be 6 miles an hour   let the other half be x miles an hour   now,   avg speed =8 mile an hour   2*6*x/6+x=8   12x=8x+48=>x=12   12
Answer: B
A boatman trying to cross the river.the width of the river is 400m.he is selling boat with 10m/sec.he takes 50sec to cross the river due to flow of water.calculate the drift. Choose the correct choice from the following.
A) 500	B) 400	C) 300	D) 200	E) 100

Solution: the distance boatman travel to cross the river=50*10= 
50*10 = 500
500m   he sell the boat diagonally.so height=400m,base be x and hypotenuse =500m   so by Pythagoras theorem, square of 400+ square of x=square of 500   so,square of x = 250000-160000   x=âˆš250000-160000,x=âˆš90000=300   drift =300m   answer 300
Answer: C
Consider the following game. A referee has cards labeled A, B, C, and D, and places them
face down in some order. You point to each card in turn, and guess what letter is written on
the bottom. You guess each of A, B, C, and D exactly once (otherwise there is no chance of
getting them all right!).
You play this game once, and then the referee tells you that you guessed exactly n of the letters
correctly. Which value of n is not a possible value of n?	Select the correct option
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: If the first three are correct, then by process of elimination the fourth has to be   correct also. The same reasoning holds no matter when the three correct answers occur.   correct answer 3
Answer: D
What number comes next in this Number series.
8 5 5 3 4 4 6 ?
*Hint: check calende
Choose the correct choice:
A) 9  B) 3  C) 6  D) 1  E) 8

Solution: 9   9 (the number of letters in the month september)   February: 8 letters   March : 5 letters   9pril : 5 letters   May : 3 letters   June : 4 letters   July : 4 letters   9ugust : 6 letters
Answer: A
A cube of edge 6 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Choices:	A) 1:25	B) 1:36	C) 1:52	D) 1:522	E) None

Solution: Sol.   Required ratio = 6 * 1 * 1 / 6 * 6 * 6 = 1/36 = 1:36.   Answer 1:36
Answer: B
The value of Underrot 23pi/4 + Underrot 9 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)  Choose one:
A) 16  B) 25  C) 21  D) 31  E) 9

Solution: Under root (23pi/4) ~ 18   Under root (9) = 3   Hence, 18+3 = 21 is the approx answer. 21 is the correct answer.
Answer: C