MU-NLPC/Calc-aqua_rat huggingface dataset:
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women? Choices.
A) 27 B) 21 C) 30 D) 27 E) 176

Solution: 20 + 24 + 8 * 2= 
20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30   Answer:30
Answer: C
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $849,000 invested in preferred stocks, what is the total amount of money invested in the fund?	Pick one
A) $1,974,000	B) $2,538,000	C) $3,264,000	D) $3,826,000	E) $4,245,000

Solution: Portion invested in preferred stock = 3/5 * 1/3 = 1/5   1/5 of fund = 849---   Fund = 5 * 849---   Here, we can avoid the math and simply look at 5 * 9 -> 45. Only option E has 45 in it.   Answer ($4,245,000).
Answer: E
The average of first five multiples of 3 is?
Pick one
A) 6  B) 8  C) 9  D) 5  E) 7

Solution: Average = 3(1 + 2 + 3 + 4 + 5)/5   = 45/5= 
45/5 = 9
9.   Answer:8
Answer: B
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples? Pick:
A) 3	B) 6	C) 14	D) 17	E) 20

Solution: Number of apples = 14   number of oranges = 23   let number of oranges that must be removed so that 70% of pieces of fruit in bowl will be apples = x   Total number of fruits after x oranges are removed = 14+(23-x) = 37-x   14/(37-x) = 7/10   =>20 = 37-x   =>x= 17   Answer 17
Answer: D
The milk level in a rectangular box measuring 58 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Pick one:	A) 100	B) 250	C) 750	D) 5437.5	E) 5635.5

Solution: 6 inches = 1/2 feet (there are 12 inches in a foot.), so  58*25*1/2= 
 58*25*1/2 = 725
725 feet^3 of milk must be removed, which equals to   725*7.5= 
  725*7.5 = 5_437.5
5437.5 gallons.   Answer: 5437.5.
Answer: D
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice. Pick one:
A) 25 B) 34 C) 50 D) 67 E) 100

Solution: 25 =25   1 oz concentrate + 3 oz ofwater = 4 oz jucie   300 oz concentrate +900 oz of waer = 1200 oz juice   no of cans==300/12= 
300/12 = 25
25   Ratio of juice to water===> 1:3   total 200*6 ounces   12 ounce juice cans ==> 1200/12 == 100*1/4 (ratio of jiuce to total) == 25
Answer: A
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 70% profit?	Pick one:  A) 220  B) 1088  C) 960  D) 780  E) 400

Solution: C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 170% of Rs. 640 = 170/100 * 640 = Rs. 1088.   1088
Answer: B
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 390 sq. feet, how many feet of fencing will be required?  Choose the most appropriate option:
A) 34	B) 59	C) 68	D) 88	E) 92

Solution: Given that length and area, so we can find the breadth.   Length x 59readth = Area   20 x 59readth = 390   59readth = 19.5 feet   Area to be fenced = 259 + L = 2 (19.5) + 20 = 59 feet answer : 59
Answer: B
Find the largest number of four digits which is exactly divisible by 27,18,12,15  Choose the correct option.
A) 9700	B) 9710	C) 9720	D) 9730	E) 9740

Solution: Explanation:   LCM of 27-18-12-15 is 540.   After dividing 9999 by 540 we get 279 remainder.   So answer will be 9999-279= 
9999-279 = 9_720
9720   Option 9720
Answer: C
If x and y are integers and x=50y + 69, which of the following must be odd?	Pick:
A) xy  B) x + y  C) x + 2y  D) 3x-1  E) 3x+1

Solution: x = 50y + 69, since y is integer, 50y will always be even hence 50y + 69 will be odd hence x = odd   you don't know whether Y is even or odd, so you need to try.   A: odd * even = even ; odd*odd= odd ->not true   B: odd + odd = even ; odd+even = odd -> not true   C: odd + 2*odd = odd ; odd + 2*even = odd -> TRUE, stop here.   Answer x + 2y
Answer: C
If A speaks the truth 30% of the times, B speaks the truth 40% of the times. What is the probability that at least one will tell the truth Options.
A) 0.58 B) 0.9 C) 1.9 D) 2.2 E) 2.3

Solution: probability of 0.58 speaks truth p(0.58)=3/10;false=7/10   probability of B speaks truth p(B)=4/10;false=6/10.For given qtn   0.58ns=1-(neither of them tell truth).Because 0.58 & B are independent events   =1-[(7/10)*(6/10)]=1-42/100=1-0.42= 
1-0.42 = 0.58
0.58   0.58NSWER:0.58
Answer: A
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Pick one:	A) 20	B) 200	C) 300	D) 400	E) 140

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 5300   [4L - 40] = 5300 / 26.50= 
5300 / 26.50 = 200
200   4L= 240   L = 240/4= 
240/4 = 60
60 meters. Answer: 200
Answer: B
A bakery opened yesterday with its daily supply of 60 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choose the correct option
A) 1 B) 2 C) 3 D) 4 E) 6

Solution: answer is E ...6 dozens ....   half sold by noon --> 30 dozens (30 *12 =360)   remaining --> 30 dozens i.e 360 eggs...   80% sold --> 80*360/100 =288 eggs   remaining 20 % --> 72 eggs (6 dozens ) --> answer --  80*360/100= 
 --  80*360/100 = 288
288 eggs   remaining 20 % --> 72 eggs (6 dozens ) --> answer
Answer: E
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 14,720, Deepak's share is:?  Pick one.
A) s.8467
B) s.8428
C) s.8400
D) s.8960
E) s.8420

Solution: Ratio of their shares   = 22500 : 35000   = 9:14   Deepak's share   = 14720 * 14/23   = Rs.8960.   Answer:s.8960
Answer: D
Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank
Choose the correct choice
A) 17 1/7 mins B) 20 mins C) 8 mins D) 9 mins E) none of these

Solution: 17 1/7 mins = 20   B = 30   C = -40   LCM = 120   => 17 1/7 mins = 6,TIMES   B = 4   C = -3   => 17 1/7 mins+B-C   = 7   TIME T17 1/7 minsKEN TO FILL THE T17 1/7 minsNK = 120/7 MINS = 17 1/7 MINS   17 1/7 minsNSWER:17 1/7 mins
Answer: A
A boy has 5 trousers and 13 shirts. In how many different ways can he select a trouser and a shirt? Pick one.
A) 299  B) 65  C) 68  D) 67  E) 271

Solution: The boy can select one trouser in 5 ways.   The boy can select one shirt in 13 ways.   The number of ways in which he can select one trouser and one shirt is   5 * 13= 
  5 * 13 = 65
65 ways.   Answer: 65
Answer: B
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following CANNOT be the difference of A and B ?
Select:
A) 72	B) 45	C) 33	D) 27	E) 9

Solution: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:   A = 10x + y   B = 10y + x   A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option C is not a multiple of 9.   Answer: 33.
Answer: C
A shopkeeper wants to make a minimum net profit of 5% on a pair of jeans she is selling, which she bought for $100. If originally, she was selling the pair at 20% gain, what is the largest discount she can allow? Choose the most appropriate option:
A) 12.5%
B) 8%
C) 8.3%
D) 15%
E) 4%

Solution: A   If she bought the jeans at $100, she is currently selling them at  (120/100)*100= 
 (120/100)*100 = 120
$120.   She wants to make a profit of 5%, which means she needs to sell them at (105/100)*100= 
(105/100)*100 = 105
$105   The max discount she can allow is thus ((120-105)/120)*100= 
((120-105)/120)*100 = 25/2 = around 12.5
12.5%
Answer: A
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 93 percent in some time period, which of the following could be the final mass of that element? Select
A) 27 grams	B) 28 grams	C) 29 grams	D) 31 grams	E) 32 grams

Solution: Let original mass be 100   The final mass of that element will be 7   So whatever option we have it will be divisible by 7   Check for the options the one that doesn't produce non terminating decimal is our answer   A. 27 grams   27/7 = 3.857...   B. 28 grams   28/7= 
28/7 = 4
4   C. 29 grams   29/7= 4.142.......   D. 31 grams   31/7 = 4.428.....   E. 32 grams   32/7 = 4.571....   Hence our answer will be (28 grams)
Answer: B
A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is
Choose the correct choice from the following answers
A) 12km	B) 16 km	C) 20 km	D) 24 km	E) None of these

Solution: Explanation :   Let distance be 24 km   10 = 24 km/4 + 24 km/6   Answer – 24 km
Answer: D
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 182 cms. What was the ratio of men to women?  Choose the correct choice from the following options.
A) 5:2  B) 5:1  C) 4:3  D) 4:1  E) 3:1

Solution: We're given a few facts to work with:   1) The average height of the females is 170cm   2) The average height of the males is 182cm   3) The average of the GROUP is 180cm   We're asked for the RATIO of men to women.   W = number of Women   M = number of Men   (170W + 182M)/(W+M) = 180   170W + 182M = 180W + 180M   2M = 10W   M = 5W   M/W = 5/1   The ratio of men to women is 5 to 1.   5:1
Answer: B
Three distinct single-digit numbers. A,B,C are in GP. If abs(x) for real x is the absolute value of x(x if x is +ve or 0 and -x if x is -ve), then the number of different possible values of abs(A+B+C) is  Choices.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: A,B,C may be   (1,2,4) & (4,2,1)   (1,3,9) & (9,3,1)   (2,4,8) & (8,4,2)   (4,6,9) & (9,6,4)   find abs(A+B+C) for these 8 GPs   7,13,15,19   So,we get 4 different values   ANSWER:4
Answer: D
Round off 9824.119 to the nearest thousand, hundred, ten and one.Represent the result with q,r,s,t, respectively.Which of the following statements is correct?	Choose the correct choice from the following answers:	A) q<s<t<r	B) s<r<t<q	C) r<s<q<t	D) r<q<t<s	E) r<s<t<q

Solution: 9824.119..   Nearest thousand 10000..q   Nearest hundred 9800..r   Nearest ten 9820..s   Nearest one 9824..t   r<s<t<q   The correct option is r<s<t<q
Answer: E
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is? Choose the correct choice:	A) 10	B) 18	C) 63	D) 36	E) 72

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/12 => x = 10   Speed of each train = 10 m/sec.   = 10 * 18/5 =- 36 km/hr.   ANSWER:36
Answer: D
A train running at the speed of 72 km/hr crosses a pole in 8 seconds. Find the length of the train. Choices:
A) 150 meter
B) 145 meter
C) 160 meter
D) 135 meter
E) None of these

Solution: Explanation:   Speed = 72*(5/18) m/sec = 20 m/sec   Length of Train(Distance) = Speed * Time   =20*8= 
20*8 = 160
160 meter   Option 160 meter
Answer: C
Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. The sales total for September was approximately what percent of the year´s sales?  Options:
A) 15 % B) 27% C) 31% D) 42% E) 75%

Solution: 11 moth avg = x   11 month total = 11x   sept = 400% of x + x = 5x   sept/total = =5x/(11x+5x) = =31%   ANSWER:31%
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 from the following options
A) 600
B) 620
C) 500
D) 520
E) 720

Solution: 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.   ANSW720R:720
Answer: E
The supplementary of an angle is thrice its complimentary. Find the angle.  Choose the correct choice from the following.
A) 60 B) 45 C) 90 D) 180 E) 120

Solution: let angle=x;   by question--   180-x=3(90-x)   x=45   ANSWER:45
Answer: B
The average weight of 25 girls increases by 1 kg when a new girl comes in place of one of them weighing 55 kg. What might be the weight of the new girl?	Select
A) 85 kg  B) 90 kg  C) 83 kg  D) 80 kg  E) 82 kg

Solution: Total weight increased = 25 x 1 kg = 25 kg.   Weight of new person = 55 + 25= 
55 + 25 = 80
80 kg   Answer : 80 kg
Answer: D
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 44 years now, the son's age five years back was:	Choose one:
A) A)14  B) B)17  C) C)56  D) D)89  E) E)34

Solution: Let the son's present age be x years. Then, (44 - x) = x   2x = 44.   x = 22.   Son's age 5 years back (22 - 5)= 
(22 - 5) = 17
17 years.   Answer:17
Answer: B
L = {3, 4, 5, 5, 6, 7}
M = {2, 2, 2, 8, 8, 8}
N = {15, 15, 15, 15, 15, 15}
Rank those three sets from least standard deviation to greatest standard deviation.
Choose the correct answer.
A) L, M, N  B) M, L, N  C) M, N, L  D) RANKING=N, L, M  E) N, M,

Solution: Square of Standard deviation is sum of squares of deviation from the mean divided by the number of terms.   If deviation from the mean is higher for the same number of elements, standard deviation will be higher.   L = {3, 4, 5, 5, 6, 7}   Mean is 5 and deviation of 2 elements from mean is 0, of 2 elements is 1 and of 2 elements is 2.   M = {2, 2, 2, 8, 8, 8}   Mean is 5 and deviation of all elements from the mean is 3. So SD here will be higher than SD of L.   N = {15, 15, 15, 15, 15, 15}   Mean is 15 here and all elements have 0 deviation from mean so SD = 0 here. This is the minimum possible SD.   Answer N, L, M   Answer (RANKING=N, L, M)
Answer: D
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?	Choose the correct choice from the following: A) 4years B) 8years C) 10years D) 12years E) None of these

Solution: Explanation:   Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   Age of the youngest child = x = 4 years.   4yearsnswer: 4years
Answer: A
The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?	Choose the correct choice from the following answers
A) 4 B) 8 C) 16 D) 18 E) None of these

Solution: Explanation:   Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.   Let the ten's and unit's digits be 2x and x respectively.   Then, (10 * 2x + x) - (10x + 2x) = 36   9x = 36   x = 4   Required difference = (2x + x) - (2x - x) = 2x = 8.   ANSWER IS 8
Answer: B
Find the area of a parallelogram with base 20 cm and height 10 cm?	Choose the correct choice from the following answers:
A) 287 cm2 B) 887 cm2 C) 200 cm2 D) 250 cm2 E) 668 cm2

Solution: Area of a parallelogram = base * height   = 20 * 10= 
20 * 10 = 200
200 cm2   Answer: 200 cm2
Answer: C
The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is: Choose the correct choice from the following answers.
A) 30º	B) 45º	C) 60º	D) 90º	E) 80º

Solution: shadow of the tree is √3 times the height of the tree.   shadow of a tree will be = √3x.   tan θ = AB/AC = x/√3x.   tan θ =1/√3.   tan θ = tan 1/√3.   tan θ = tan30°.   θ = 30° 30ºNSWER : 30º
Answer: A
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? Choose the correct choice from the following options.
A) 2.2 m B) 2.4 m C) 3 m D) 3.4 m E) 3.6 m

Solution: Area of the park = (60 x 40) m2= 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2= 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3.   ANSWER : 3 m
Answer: C
One night 10 percent of the female officers on a police force were on duty. If 200 officers were on duty that night and half of these were female officers, how many female officers were on the police force?  Choose the correct option
A) 90
B) 180
C) 270
D) 500
E) 1,000

Solution: Let total number of female officers in the police force = F   Total number of officers on duty on that night = 200   Number of female officers on duty on that night = 200/2= 
200/2 = 100
100   (10/100)*F=100   =>F = 1000   Answer 1,000
Answer: E
If a refrigerator contains 12 cans such that there are 7 blue cans and 5 red cans. In how many ways can we remove 8 cans so that at least 1 blue can and 1 red can remains in the refrigerator. Choose the correct choice:	A) 452	B) 453	C) 454	D) 455	E) 456

Solution: The possible cases of (b,r) draws are (6,2) (5,3) (4,4)   6 2---->7c6*5c2--->7*10=70   5 3---->7c5*5c3--->21*10=210   4 4---->7c4*5c4--->35*5=175   70+210+175= 
70+210+175 = 455
455   ANSWER:455
Answer: D
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?	Choose the correct answer:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Write equation in N as follows   N + 1/N = 78/15   Multiply all terms by N, obtain a quadratic equation and solve to obtain N = 5.   correct answer is 5) 5
Answer: E
60% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim? Pick one: A) 70 B) 97 C) 80 D) 90 E) 76

Solution: Given, 60% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 60% of Ram's marks = 24.   => Ram's marks = (24 * 100)/60= 
(24 * 100)/60 = 40
40   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (40 + 120)/2= 
(40 + 120)/2 = 80
80.   Answer:80
Answer: C
A standard Veggiematik machine can chop 25 carrots in 5 minutes. How many carrots can 5 standard Veggiematik machines chop in 5 minutes?
Choose the correct answer:
A) 45
B) 75
C) 110
D) 125
E) 150

Solution: 125irect Relationship:-   1 standard Veggiematik machine - 25 Carrots - 5 minutes,   1 standard Veggiematik machine - 5 Carrots - 1 minute,   Now   5 standard Veggiematik machine - ? Carrots - 5 minutes,   Hence = 5X5X5 =125 Carrots   Answer 125
Answer: D
amir has 3 desert every sunday...he stocked up 10 different chocolates and 12 diff icecreams,given that he never has same combination and doesn't 3 chocolates nor 3 icecreams,how many sundays it requires for his stock to be over? Pick one:	A) 1045	B) 1200	C) 2400	D) 7200	E) 3600

Solution: he either can have 2 chocolates and 1 icecream or 1 chocolate and 2 icecream.   so the solution would be.   10C2*12C1 + 10C1*12C2 = 1200   ANSWER:1200
Answer: B
In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal round, where they play the best of 3matches. The Minimum number of matches in the next World cup will be	Select the correct option.
A) 25
B) 36
C) 53
D) 55
E) 60

Solution: The number of matches in first round,   = 6C2 +6C2;   Number of matches in next round,   = 6C2;   Number of matches in semifinals,   = 4C2;   Total number of matches,   = 6C2 +6C2+6C2+4C2+2.   = 53.   53
Answer: C
Find the average of first 27 natural numbers.  Pick.
A) 14	B) 14.2	C) 15.2	D) 15.8	E) 28

Solution: Explanation:   Sum of first n natural numbers = n(n+1)/2   Hence, sum of first 27 natural numbers = (27 x 28)/2 = 378   Therefore, required average of = 378/27= 
378/27 = 14
14   14NSWER: 14
Answer: A
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank (in litres) is	Pick:
A) 5780 litres
B) 5770 litres
C) 5760 litres
D) 5750 litres
E) 5740 litres

Solution: Explanation:   Work done by the inlet in 1 hour =   1/6−1/8=1/24   Work done by inlet in 1 min=1/24∗1/60=1/1440   =>Volume of 1/1440 part = 4 liters   Volume of whole = (1440 * 4)= 
(1440 * 4) = 5_760
5760 litres.   Option 5760 litres
Answer: C
Find the term next in series ....
1, 1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?	Pick one.
A) next number is 48 B) 58 C) 40 D) 43 E) 44

Solution: [1,1/2,3/2,2], [5,1/3/16/3,15] ,[12,1/4,25/4,x]   1+1/2=3/2......1/1/2= 2   5+1/3=16/3.....5/1/3= 15   12+1/4=25/4....12/1/4=48   next number is 48NSWER:next number is 48
Answer: A
If the product of two numbers is 17820 and their H.C.F. is 12, find their L.C.M.	Choose the correct choice from the following answers:	A) 2574	B) 2500	C) 1485	D) 1574	E) None of these

Solution: Explanation:   H1485F * L1485M = 17820, because we know   Product of two numbers = Product of H1485F and L1485M   L1485M = 17820/12= 
17820/12 = 1_485
1485   Option 1485
Answer: C
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Options
A) 9	B) 9.6	C) 10	D) 8	E) 12

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 160= 
140 + 160 = 300
300 m.   Required time= 300 * 9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   ANSWER:8
Answer: D
The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?  Choose the correct choice from the following choices:  A) 1288  B) 9600  C) 1000  D) 10000  E) 2887

Solution: 100 * 100= 
100 * 100 = 10_000
10000   120 * 80= 
120 * 80 = 9_600
9600   Answer: 9600
Answer: B
The sum of two numbers is 16. The difference is 0. What are the two numbers?	Pick one:
A) 10-6	B) 8-8	C) 9-7	D) 11-5	E) 13-3

Solution: 8+8= 
8+8 = 16
16   8 - 8= 
8 - 8 = 0
0   The Answer is 8-8
Answer: B
How many tiems do the hands of a clock coincide in day?  Choose the correct choice from the following options:
A) 11	B) 12	C) 22	D) 24	E) None

Solution: Sol.   The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e. at 12 o’clock).   ∴ The hands coincide 22 times in a day.   Answer 22
Answer: C
Which of the following is closer to √0.8+√0.05?
Choose the correct answer
A) 0.5  B) 0.7  C) 0.9  D) 1.1  E) 1.2

Solution: √0.8+√0.05=approximately √0.81+√0.04=0.9+0.2=1.1. Hence, the correct answer is 1.1.
Answer: D
If Henry were to add 9 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?	Select the correct option:
A) 25
B) 40
C) 64
D) 72
E) 96

Solution: 7/8x-3/4x=9galls   1/8*x=9gallons   x=72 gallons   Answer 72
Answer: D