MU-NLPC/Calc-aqua_rat huggingface dataset:
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Pick:
A) 3	B) 6	C) 24	D) 120	E) 12

Solution: Explanation:   There are five letters in the given word.   Consider 5 blanks ....   The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.   The number of words = 3! = 6.   ANSWER IS 6
Answer: B
If â€˜NAGALANDâ€™ is coded as â€˜EAGACAEDâ€™, then â€˜ODISHAâ€™ is coded as
Choose the correct choice from the following options:
A) FDIHJA  B) FIDHAJ  C) FDIHAJ  D) FIDJHA  E) FDIJHA

Solution: M=13,1+3=4=D   A=1=A   SIMILARLY,   O=15=F   D=4=D   I=9=I   S=19=1+9= 
1+9 = 10
10=J   H=8=H   A=1=A   SO ANS IS   FDIJHA   ANSWFDIJHAR:FDIJHA
Answer: E
A certain ski shop sells pairs of gloves in 11 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?
Select the correct option: A) 1/144 B) 1/143 C) 1/21 D) 1/23 E) 1/12

Solution: there are 11 different colours sothere are 11 pairs of gloves dropped..   first can be any of 22..so 22/22..   second has to be its pair, which will be just one out of remaining 21.. 1/21..   overall prob=22/22*1/21= 1/21..   1/21
Answer: C
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choose the most appropriate option.
A) 1:2	B) 2:3	C) 5:3	D) 3:7	E) 9:13

Solution: Let 40% of A = 2/3 B   then 40A/100 = 2B/3   2A/5 = 2B/3   A/B = 5/3   A:B = 5:3   Answer is 5:3
Answer: C
Last month, John rejected 0.7% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?	Choose the correct choice from the following answers:
A) 1/6
B) 1/2
C) 5/8
D) 5/6
E) 15/16

Solution: X - fraction of products Jane inspected   (1 - X) - fraction of products John inspected   0.8(X) + 0.7(1-X) = 0.75   0.1X = 0.75 - 0.7= 
0.75 - 0.7 = 0.05
0.05/0.1   X= 1/2   Therefore the answer is 1/2: 1/2.
Answer: B
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 112. What was the number he chose?  Choose the correct answer.
A) 123 B) 267 C) 125 D) 267 E) 120

Solution: Let xx be the number he chose, then   2â‹…xâˆ’138=112   x=125   Answer:125
Answer: C
A trader has 1600Kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11%
on the whole , find the quantity sold at 12%.  Choose the correct choice from the following answers.
A) 1200 Kg	B) 1400 Kg	C) 1600 Kg	D) 800 Kg	E) None of these

Solution: Explanation :   By the rule of alligation, we have   % Profit by selling part1 % Profit by selling part2   8 12   Net % Profit   11   12 - 11= 
12 - 11 = 1
1 11 - 8= 3   =>Quantity of part1 : Quantity of part2 = 1 : 3   Given that total quantity = 1600 Kg   Hence quantity of part2 (quantity sold at 12%) = 1600×34=1200   1200 Kgnswer : Option 1200 Kg
Answer: A
Tom planted vegetables in a rectangular garden that was 24 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?  Choose the most appropriate option
A) 165 sq. ft. B) 166 sq. ft. C) 167 sq. ft. D) 168 sq. ft. E) 169 sq. ft.

Solution: area of garden is 24 x 15 = 360 sq. ft.   1/3 x 360 = 120 sq. ft. for corn   1/5 x 360 = 72 sq. ft. for peas   120 + 72= 
120 + 72 = 192
192 sq. ft. used     360 - 192= 
  360 - 192 = 168
168 sq. ft. left over   correct answer 168 sq. ft.
Answer: D
Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.  Choose the correct answer:	A) 15	B) 16	C) 30	D) 31	E) 32

Solution: Explanation:   LCM of 2-4-6-8-10-12 is 120 seconds, that is 2 minutes.   Now  60/2= 
 60/2 = 30
30   Adding one bell at the starting it will  30+1= 
 30+1 = 31
31   Option 31
Answer: D
0.003 * ? * 0.0003 = 0.00000027	Select
A) 9  B) 3  C) 0.3  D) 0.03  E) None of these

Solution: Explanation:   0.003 * ? * 0.0003 = 0.00000027   3/1000 * ? * 3/10000 = 3/1000 * 3/1000 * 3/100   ? = 3/10= 
3/10 = 3/10 = around 0.3
0.3   ANSWER IS 0.3
Answer: C
Two sets A and B consists only of positive integers such that mean of set A is 70 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>  Choose the correct option
A) [A] 65
B) [B] 60
C) [C] 70
D) [D] 55
E) [E] cannot be determined

Solution: For this question, we have zero information about the size of two sets, sets AB. These two sets may have the same size or may be wildly different. Thus, the answer is (E), the mathematical answer cannot be determined. This is a very weak math question. As someone who writes GMAT practice questions, I would give this a grade of anD-as a question.   Answer [E] cannot be determined
Answer: E
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 8 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Choose the most appropriate option:
A) 13  B) 15.5  C) 14  D) 14.5  E) 15

Solution: Ans is 15.5   Given d_ab = 2*d_bc   let d_ab = d and d_bc = x so d=2x   for average miles per gallon = (d+x)/((d/8)+(x/18)) = 15.5 (formula avg speed = total distance/ total time)
Answer: B
The Fisherman sale, all of the prices of the fishes sold were different. If the price of a radio sold at the fisherman sale was both the 4th highest price and the 13th lowest price among the prices of the fishes sold, how many fishes were sold at the fisherman sale?
Choose the correct option.
A) 13
B) 14
C) 15
D) 41
E) 16

Solution: 3+12+1= 
3+12+1 = 16
16   Answer: 16
Answer: E
Each of the following equations has at least one solution EXCEPT A. Is it true?	Choose the correct choice from the following answers
A) -3*a = -3-a B) 2*a = (–2)*-a C) 2* -a = (–2)*a D) (–2)-a = –2-a E) -2*-a = 2a

Solution: If we put a=1 then   B. 2   C. -2   D. -3   E. 2   A. -3=-4 not true.
Answer: A
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 7 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?  Choose the correct choice from the following choices.
A) 67/90  B) 29/60  C) 17/30  D) 19/30  E) 11/15

Solution: I think A - 67/90 is the correct answer.   Here goes:   Lets assume originally the number of beds = x   After the new tower, the total combined no of beds = 7x   So old = x, New = 6x   Now 1/3 of x are occupied and 1/5 of 6x are occupied which simplifies to (6/5)x   We are shifting 1/3 of x to the new ward so there will now be:   1/3 of x plus 6/5 of x occupied in the new ward. Add them up to get 23/15 of x   There are 6x beds in New Tower so ratio is:   (23/15)x / 6x = 23/90 of x   Subtract that from 90/90 of x and you get the number of un-occupied beds to total capacity of New Tower = 67/90.   67/90
Answer: A
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 4 km less in that time. Find his speed. Choose the correct choice from the following options.
A) 4 km/hr.	B) 6 km/hr	C) 8 km/hr	D) 14 km/hr	E) None of these

Solution: Explanation :   Solution: Let the speed be x km/hr. then,   15x - (15 * 29x/30) = 4   => 30x-29x = 4*2   => x = 8 km/hr.   Answer : 8 km/hr
Answer: C
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage? Options:
A) 33  B) 50  C) 99  D) 87  E) 71

Solution: L.C.M of 15 and 12 = 60   CP of 60 articles = Rs. 100 (25 * 4)   SP of 60 articles = Rs. 150 (30 * 5)   Profit percentage = (150 - 100)/100 * 100= 
(150 - 100)/100 * 100 = 50
50%   Answer: 50
Answer: B
If A=x% of y and B=y% of x, then which of the following is true?  Select the correct option.
A) A is smaller than B.  B) A is greater than B.  C) Relationship between A and B cannot be determined.  D) If x is smaller than y, then A is greater than B.  E) None of these

Solution: Explanation :   Given,   A=x% of y=(x/100)×y.   And, B=(y/100)×x   Hence, A = B.   Answer : None of these
Answer: E
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 504. Find the sum? Choose the correct choice from the following options.
A) 7000
B) 7029
C) 2778
D) 4200
E) 2791

Solution: Let the sum be Rs. x.   (x * 18 * 2)/100 - (x * 12 * 2)/100 = 504 => 36x/100 - 24x/100 = 504   => 12x/100 = 840 => x = 4200.Answer:4200
Answer: D
Solve the given two equations and find the inequality of X and Y. (a) 3X^2+8X+4 = 0 and (b) 4Y^2-19Y+12= 0
Choose the correct answer:
A) If x>y B) If x>=y C) If x<y D) If x<=y E) x=y or relationship cannot be established

Solution: Solution:-   Solving we get X= -2/3 or -2   Y= 3/4 or 4   If x<y)
Answer: C
What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 5?  Choose the correct choice from the following answers
A) 0.1
B) 10
C) π/10
D) 8
E) π

Solution: Maximum distance straight line is diameter   d = 2r = 10..   ANS option 10.
Answer: B
Find the simple interest on Rs.850 for 10 months at 7 paisa per month?  Choose the correct option:	A) s.768	B) s.329	C) s.595	D) s.600	E) s.725

Solution: Explanation:   I = (850*10*7)/100= 
(850*10*7)/100 = 595
595   Answer: Option s.595
Answer: C
What is the next number of the following sequence
1,3,4,5,6,7,8,9,1,9,16,25,36,49,64...	Pick:  A) 14  B) 15  C) 81  D) 17  E) 18

Solution: (1, 3 ,4, 5, 6, 7, 8, 9) (1, 9,16, 25, 36, 49, 64, x)   square of 1st group gives 2nd group   1^2 = 1   3^2 = 9   4^2 = 16   5^2 =25   6^2 =36   7^2 = 49   8^2=64   9^2=81   ANSWER:81
Answer: C
If x and y are integer, which of the following must also be an integer?
I. x/y
II. y/x
III. x
Choose the correct choice from the following options:
A) I alone	B) II alone	C) III alone	D) I and III	E) None of the above

Solution: Let's take X = 4and Y = 3   Then X/Y = 4/3 Not an integer.   Y/X = 3/4 Not an integer.   X alone is 4 which is an integer.   Hence III alone.
Answer: C
A number increased by 20% gives 480. The number is?
Pick:  A) 200  B) 300  C) 400  D) 500  E) 600

Solution: Formula = TOTAL=100% ,IN400REASE = "+" DE400REASE= "-"   A number means = 100 %   That same number increased by 20 % = 120 %   120 % -------> 480 (120 × 4 = 480)   100 % -------> 400 (100 × 4 = 400)   Option '400'
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Choose the correct answer.
A) 288	B) 564	C) 877	D) 278	E) 178

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 26 + 21= 
26 + 21 = 47
47   T= 12   D = 47 * 12= 
47 * 12 = 564
564   Answer: 564
Answer: B
A Prototype fuel-efficient car (P-Car) is estimated to get 70% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 30% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choose the correct choice from the following choices:
A) 16 2/3% B) 23.53 % C) 50% D) 60% E) 66 2/3 %

Solution: Assumption   Miles/Gallon   T = 100   P = 170 ( 70% more)   $/gallon   T = 100   P = 130 (30% more)   Miles   100 for both   Cost = (Miles X $/ Gallon)/ M/gallon   T = 100   P = 76.47   Hence 100 - 76.47= 
100 - 76.47 = 23.53
23.53%   Ans 23.53 %
Answer: B
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choose the correct choice from the following options:
A) 10
B) 40
C) 48
D) 56
E) 34

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer: Option 48
Answer: C
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?	Pick:
A) 3 2/5 Km	B) 3 3/5 Km	C) 4 1/5 Km	D) 5 1/5 Km	E) None

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 18/6   = 24/2 * 18/60   = 18/5 = 3 3/5 Km   3 3/5 Km
Answer: B
If Tim had lunch at $50.50 and he gave 30% tip, how much did he spend? Choose the correct choice from the following choices:
A) A)$57.45
B) B)$35.42
C) C)$65.65
D) D)$21.56
E) E)$78.45

Solution: The tip is 30% of what he paid for lunch.   tip = 30% of 50.50 = (30/100)*50.50= 
(30/100)*50.50 = 15.15
$15.15   Total spent     50.50 + 15.15= 
  50.50 + 15.15 = 65.65
$65.65   correct answer is $65.65)$65.65
Answer: C
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?  Choose one:
A) Square
B) Rectangle but not a square
C) Rhombus
D) Parallelogram but not a rhombus
E) Kite

Solution: Explanatory Answer   The lengths of the four sides, AB, BC, CD and DA are all equal to 41−−√41. (Computation given in the last paragraph)   Hence, the given quadrilateral is either a Rhombus or a Square.   How to determine whether the quadrilateral is a square or a rhombus?   The diagonals of a square are equal. The diagonals of a rhombus are unequal.   Compute the lengths of the two diagonals AC and BD.   The length of AC is √162 and the length of BD is 2–√2.   As the diagonals are not equal and the sides are equal, the given quadrilateral is a Rhombus.   Rhombushoice Rhombus
Answer: C
The events A and B are independent. The probability that event A occurs is m and the probability that event B occurs is n. Which of the following is equal to the probability that exactly one of the events A and B occurs?	Answers:
A) m − 2mn B) n − mn C) m + n − 2mn D) m + n − mn E) m + n

Solution: Probability of A occuring = m , Probability of A NOT occuring = 1-m   Probability of B occuring =n , Probability of B not occurring = 1-n   Probability of atleast of one of A and B occuring = 1-(1-m)(1-n) =m+n -mn   m + n − mn
Answer: D
Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choose the correct choice from the following answers
A) 17
B) 88
C) 21
D) 26
E) 18

Solution: Relative speed = 5.5 - 5= 
5.5 - 5 = 0.5
.5 kmph (because they walk in the same direction)   distance= 8.5 km   time = distancespeed=8.5.5=17 hr   17nswer :17
Answer: A
A starts a business with a capital of Rs. 8500. B joins in the business with Rs.17000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?  Choose the correct answer
A) 2 months
B) 6 months
C) 7 months
D) 8 months
E) None of these

Solution: Explanation :   Let B joins for x months. Then   A:B = 8500*12 : x* 17000 = 3 : 1   => 85*12 : 170x= 3 : 1   => 85*12/ 170x = 3/1= 
3/1 = 3
3=> 85*4 /170x = 1   => 2/x = 1   => x = 2. 2 monthsnswer : Option 2 months
Answer: A
If the wheel is 19 cm then the number of revolutions to cover a distance of 1156 cm is? Select the correct option
A) 11
B) 14
C) 18
D) 10
E) 19

Solution: 2 * 22/7 * 19 * x = 1156 => x = 9.7   Answer: 10
Answer: D
A photo-mat shop charges $0.40 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $24 if each film contains 36 photos?  Options:	A) 2 films and 26 photos	B) 5 films and 6 photos	C) 5 films and 14 photos	D) 6 films and 4 photos	E) 6 films and 28 photos

Solution: 1st photo = 0.4   Subsequent = 0.4*0.6= 
0.4*0.6 = 0.24
0.24   Price of 1 full film=0.4+0.24*35= 
0.4+0.24*35 = 8.8
8.8   Price of 2 full film= 8.8*2= 
8.8*2 = 17.6
17.6   24-17.6= 
24-17.6 = 6.4
6.4   6.4=0.4+0.24x   x=25   24--->2 full films and  1+25= 
 1+25 = 26
26 photos   2 films and 26 photosnswer: 2 films and 26 photos
Answer: A
If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average W(arithmetic mean) annual increase in the index over this period?
Choose one:
A) (x + 100)/18 B) x/18 C) (100 − x)/18 D) (x − 100)/18 E) 100x/18

Solution: CPI in end of 1967 = 100   CPI in end of 1985 = x   Number of years = 18   Average annual increase in CPI W= (x-100)/18   Answer (x − 100)/18
Answer: D
Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 75 km per hour. Mr. Dinkle will Choices.
A) overtake Mr. Smitherly at 9:30 am
B) overtake Mr. Smitherly at 10:30 am
C) overtake Mr. Smitherly at 11:00 am
D) be 30 miles behind at 9:35 am
E) never overtake Mr. Smitherly

Solution: After one hour, Mr. Smitherly is ahead by 50 km.   Mr. Dinkle gains on Mr. Smitherly 25 km each hour.   2 hours after 9:00 a.m., Mr. Dinkle will catch Mr. Smitherly.   The answer is overtake Mr. Smitherly at 11:00 am.
Answer: C
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Answers:
A) 22
B) 12
C) 66
D) 88
E) 55

Solution: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.   Then, (1/x + 2/x + 3/x) = 1/2   6/x = 1/2 => x = 12   So, B takes 6 hours to finish the work.   Answer: 12
Answer: B
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x	Choose the correct choice from the following: A) 1 B) 2 C) 34 D) 12 E) 13

Solution: 46080 /12= 
46080 /12 = 3_840
3840   3840 /10= 
3840 /10 = 384
384   384 /8= 
384 /8 = 48
48   48 /6= 
48 /6 = 8
8   8/4= 
8/4 = 2
2   2 /2= 
2 /2 = 1
1   1
Answer: A
60% of the population of a village is 23040. The total population of the village is ?	Choose the most appropriate option
A) 38400	B) 24000	C) 24936	D) 25640	E) None

Solution: 38400nswer   ∵ 60% of P = 23040   ∴ P = (23040 x 100) / 60 = 38400   Correct Option: 38400
Answer: A
B is 8km East of A. C is 6km North of B. D is 12km East of C. E is 16km North of D. What is the distance b/w A and E.	Choose the correct choice from the following choices.
A) 20km
B) 22km
C) 18km
D) 30km
E) 33km

Solution: it will make two rightangle triangles   1. 1st triangle ABC AB=8km & BC=6km.So AC=Squareroot(64+36)=10km.   2. 2nd triangle CDE CD=12km & DE=16km.So CE=Squareroot(144+256)=20km.   So, AC+CE = AE = 30km.   ANSWER:30km
Answer: D
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 18, Find x and y ? Select the correct option.
A) x=4,y=8  B) x=4,y=9  C) x=4,y=27  D) x=4,y=9  E) x=5,y=8

Solution: 4+27= 
4+27 = 31
31   when reversed 13   31-13= 
31-13 = 18
18   x=4,y=27   ANSWER:x=4,y=27
Answer: C
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?  Choose the correct choice:	A) 237	B) 287	C) 197	D) 287	E) 720

Solution: Explanation:   Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.   2x/(x - 360) = 2 + 2(extra)   => 2x - 720 = x => x = 720.   Answer: 720
Answer: E
The length R of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choose the most appropriate option: A) Decreases by 19% B) Decreases by 25% C) Increases by 6% D) Increases by 19% E) Increases by 25%

Solution: Let the length R of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy   Now after the change Length 100  * 100= 
100  * 100 = 10_000
10000xy   Now after the change Length= 85x, and width = 140 y. Area = 11900xy   % Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence Increases by 19%.
Answer: D
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Pick.
A) 128228 B) 12800 C) 12819 D) 12818 E) 12812

Solution: 16*8: x*4 = 5:2   x = 12.8 => Rs.12800   Answer: 12800
Answer: B
Use distributive property to solve the problem below:
Maria bought 15 notebooks and 6 pens costing 2 dollars each.How much did Maria pay?	Choose the correct answer:	A) 30 dollars	B) 40 dollars	C) 50 dollars	D) 42 dollars	E) 70 dollars

Solution: Solution   2 × (15 + 6) = 2 × 15 + 2 × 6 = 30 + 12= 
30 + 12 = 42
42 dollars   Answer 42 dollars
Answer: D
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?	Choose the correct choice from the following choices
A) 729  B) 144  C) 627  D) 255  E) 142

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.   Hence the total ways are  24 * 6= 
 24 * 6 = 144
144.   Answer:144
Answer: B
An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 450 km from the starting point ? Choose the correct option:
A) 8 hrs 29 min
B) 4 hrs 50 min
C) 2 hrs 28 min
D) 6 hrs 28 min
E) 1 hrs 28 min

Solution: Explanation:   Time taken to cover 450 km = 450/100 = 4 hrs 30 mins   Number of stoppages = 450/75 - 1= 
450/75 - 1 = 5
5   Total time of stoppages= 4 x 5 = 20 min   Hence, total time taken = 4 hrs 50 min.   Answer: 4 hrs 50 min
Answer: B
The average age of man, women and their child 3 years ago was 27 years and that of women and the child 5 years ago was 20 years. The presentage of the man is?
Choose the most appropriate option:	A) 35	B) 37	C) 40	D) 41	E) 56

Solution: Sum of the present ages of man, women and child = (27 x 3 + 3 x 3) years = 90 years.   Sum of the present ages of women and child = (20 x 2 + 5 x 2) years = 50 years.   man's present age = (90 - 50)= 
(90 - 50) = 40
40 years.   40
Answer: C
Pointing to a person, a man said to a woman, "His mother is the only daughter of your father." How was the woman related to the person ?
Choose the correct choice:
A) Aunt  B) DAUGHTER  C) father  D) mother  E) sister

Solution: Explanation:   Daughter of your father — Your sister. So, the person's mother is woman's sister or the woman is person's aunt.   Auntnswer: Aunt) Auntunt
Answer: A
In a certain store, the profit is 320% of the cost. If the cost increases by 20% but the selling price
remains constant, approximately what percentage of the selling price is the profit	Choose the correct choice from the following options.
A) 71%
B) 81%
C) 90%
D) 100%
E) None of above

Solution: Explanation:   Let C.P.= Rs. 100.   Then, Profit = Rs. 320,   S.P. = Rs. 420.   New C.P. = 120% of Rs. 100 = Rs. 120   New S.P. = Rs. 420.   Profit = Rs. (420 - 120) = Rs. 300   Required percentage = (300/420) * 100   = 71.40%(approx) =71%   71%nswer: 71%
Answer: A