MU-NLPC/Calc-aqua_rat huggingface dataset:
Eva’s grade was in the 80th percentile out of 80 grades in her class. In another class of 70 students there were 30 grades higher than Eva’s. If nobody had Eva’s grade, then Eva was what percentile of the two classes combined?	Choose one
A) 84	B) 80	C) 74	D) 69	E) 65

Solution: Being in 80% percentile out of 80 grades means Eva was 65th (from the least grade) in the class (as long as nobody had Eva's grades), she outscored 64.   In another class her grade would rank her 41 (from the least grade out of 71, 70+Eva), 40 had the grades lower than Eva.   So in combined classes she outscored  64+40= 
 64+40 = 104
104. There are 150 students 104/150=0.69   Answer: D (69%)   Generally being in x% means that x% has the grades less than you.   Eva in 80% --> she outscored 890% of of 80=64 (Eva is 65th).   Of the 70 grades from another class, 30 were higher than Eva's, and the rest were lower --> rest is 40, hence Eva outscored 40.   So out of total  80+70= 
 80+70 = 150
150, Eva outscored 64+40= 
64+40 = 104
104. Hence she is in 104/150=69%.   Answer: 65
Answer: E
It will take 16 days for Mary to complete a certain task alone. She worked for 8 days before she was joined by her sister. both of them completed the remaining task in 2 and half days. if her sister had joined her when she started the task, how many days would it have taken?  Choices
A) 6	B) 8	C) 2	D) 5	E) 4

Solution: Explanation:   Mary and her sister complete half work in 2.5 days   => they can complete whole work in 5 days   Answer: Option 5
Answer: D
The radius of a cylindrical vessel is 7cm and height is 1cm. Find the whole surface of the cylinder?	Choose one.
A) 352 B) 771 C) 440 D) 767 E) 1981

Solution: r = 7 h = 1   2πr(h + r) = 2 * 22/7 * 7(8) = 352   352nswer:352
Answer: A
What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 12 ?	Pick one:
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Denote |x - 3| as y: y^2 + y = 12 --> y = -4 or y = 3. Discard the first solution since y = |x - 3|, so it's an absolute value and thus cannot be negative.   y = |x - 3| = 3 --> x = 6 or x = -1. The sum = 5.   5nswer: 5.
Answer: A
In the formula of converting temperature from Celsius to Fahrenheit F=9/5C+32, How many integer values(not fractional) of F will be there that lies between 100 to 200 for integer values of C. Choose the correct choice from the following.
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: for c=40 ,F=((9/5) *40)+32= 
((9/5) *40)+32 = 104
104   c=45 ,f=(9*9)+32= 
(9*9)+32 = 113
113   c=50 ,f=(9*10)+32= 
(9*10)+32 = 122
122   c=55 ,f=(9*11)+32= 
(9*11)+32 = 131
131   c=60 ,f=(9*12)+32= 
(9*12)+32 = 140
140   c=65 ,f=(9*13)+32= 
(9*13)+32 = 149
149   c=70 ,f=(9*14)+32= 
(9*14)+32 = 158
158   c=75 ,f=(9*15)+32= 
(9*15)+32 = 167
167   c=80 ,f=(9*16)+32= 
(9*16)+32 = 176
176   c=85 ,f=(9*17)+32= 
(9*17)+32 = 185
185   c=90 ,f=(9*18)+32= 
(9*18)+32 = 194
194   so ans is 11.   ANSWER:11
Answer: C
A businessman earns $25800 in December, thus decreasing his average annual (January to December) earnings by $1000. His average annual earnings would be
Source: CMAT Preparation Choose the correct option
A) $29000  B) $36800  C) $40200  D) $41000  E) $42300

Solution: (x - 25,800)/11 - x/12 = 1,000   x = 441,600   x/12 = 36,800   Answer: $36800
Answer: B
Which of the following data sets has the second smallest standard deviation? Choose the correct choice from the following:
A) {1, 2, 3, 4, 5}  B) {2, 3, 3, 3, 4}  C) {2, 2, 2, 4, 5}  D) {0, 2, 3, 4, 6}  E) {-1, 1, 3, 5, 7}

Solution: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..   The SIMILARITY is - the SUM of all sets is equal =15..   and hence average = 15/5 = 3...   Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..   clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..   Next is D, which has a range of 6-0 or 6..   and has smallest standard of deviation.   and (C) {2, 2, 2, 4, 5} has second smallest standard of deviation.   ans {2, 2, 2, 4, 5}
Answer: C
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?	Pick one
A) 20 hours  B) 25 hours  C) 35 hours  D) Cannot be determined  E) None of these

Solution: If c takes x hrs, B takes 2x hrs and A takes 4x hrs,   then   1/x +1/2x = 1/4x = 1/5   7/4x = 1/5   x= 7*5/4 hrs = 35/4 hrs   So A alone will take  4*35/4= 
 4*35/4 = 35
35 hrs   ANSWER:35 hours
Answer: C
A die is rolled twice. What is the probability of getting a sum equal to 9?
Choose the most appropriate option.
A) 2/9  B) 5/7  C) 1/7  D) 1/9  E) 3/7

Solution: Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)   Hence, total number of outcomes possible when a die is rolled twice, n(S) = 6 × 6 = 36   E = Getting a sum of 9 when the two dice fall = {(3, 6), {4, 5}, {5, 4}, (6, 3)}   Hence, n(E) = 4   P(E) = n(E)/n(S)   =4/36   =1/9   Answer : Option 1/9
Answer: D
What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5	Choose one.
A) 110 B) 125 C) 75 D) 170 E) 195

Solution: LCM of 8, 12, 15 and 20 = 120   Required Number = 120 + 5= 
120 + 5 = 125
125   Answer: Option 125
Answer: B
Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 12 years ago. What is the current age of the oldest person for whom Jane could have baby-sat? Choose the correct choice from the following options.
A) 20 B) 21 C) 22 D) 23 E) 24

Solution: Check two extreme cases:   Jane = 18, child = 9, years ago = 32-18= 
32-18 = 14
14 --> child's age now= 9+14= 
9+14 = 23
23;   Jane= 20, child = 10, years ago = 32-20= 
32-20 = 12
12 --> child's age now= 10+12= 
10+12 = 22
22.   Answer: 23.
Answer: D
Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the trian (in km/hr), supposing that speed travels at 330 metres per second, is:
Choose the correct answer
A) 50.4	B) 111.8	C) 19.88	D) 59.4	E) None

Solution: Sol.   Let the speed of the train be x m/sec. Then,   Distance travelled by the train in 10 min. = Distance travelled by sound in 30 sec.   ∴ Speed of the train = 16.5 m/sec = [16.5*18/5] km/hr = 59.4 km/hr   Answer 59.4
Answer: D
In how many ways can an answer key for a quiz be written if the quiz contains 4 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?  Choose the correct choice from the following answers:
A) 512
B) 656
C) 740
D) 896
E) 972

Solution: There are 2^4 = 16 possibilities for the true-false answers.   However we need to remove two cases for TTTT and FFFF.   There are  4*4*4= 
 4*4*4 = 64
64 possibilities for the multiple choice questions.   The total number of possibilities is  14*64= 
 14*64 = 896
896.   The answer is 896.
Answer: D
A train covers a distance of 10 km in 20 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?  Choose one.
A) 50 B) 80 C) 120 D) 100 E) 40

Solution: Speed = (10/20 * 60) km/hr = (30 * 5/18) m/sec = 8.333333 m/sec.   Length of the train = 8.333333 * 6 = 50 m.50nswer: 50
Answer: A
Simplify (4^y + 4^y + 4^y + 4^y) (4^y + 4^y + 4^y + 4^y)  Choose the correct choice:
A) 4^4y * 3^3y
B) 12^y+1
C) 16^y+1
D) 12^y
E) 4^y * 12^y

Solution: 16^y+1   (4^y + 4^y + 4^y + 4^y) (4^y + 4^y + 4^y + 4^y)   (4*4^y)(4*4^y)   16*16^y=16^(y+1)..
Answer: C
If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
Pick.
A) xy/z	B) (x + y)/z	C) xz/y	D) (x - y)/z	E) (x + z)/y

Solution: As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.
Answer: E
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam?  Pick one:  A) 22  B) 26  C) 25  D) 28  E) 12

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 80 x.   Total marks of (x - 5) students = 90(x - 5)   80x - (5 * 40) = 90(x - 5)   250 = 10x => x = 25   Answer: 25
Answer: C
If x and y are perfect squares, then which three of the following is not necessarily a perfect square? Select the correct option
A) x^2	B) xy	C) 4x	D) x+y	E) x^5

Solution: If x=y=1^2=1, then each option but A is a perfect square, therefore A is NOT necessarily a perfect square.   x^2nswer: x^2.
Answer: A
Two heavily loaded sixteen-wheeler transport trucks are 787 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway? Choose the correct choice from the following
A) 90	B) 131	C) 150	D) 320	E) 450

Solution: I've been reading the website for a while and I'm always keen to see different approaches so I would like to share one that works for me:   Short version:   Truck A travels for an hour.   Distance remaining = 787-90= 
787-90 = 697
697k   Ratio of speeds 9:8 -> 697/17= 41   Truck A = 90 + 41*9= 
90 + 41*9 = 459
459   Truck 131= 41*8= 
41*8 = 328
328   Delta= 131km   Answer 131
Answer: B
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?	Choose the most appropriate option.
A) 8 km	B) 4 km	C) 6 km	D) 1 km	E) 5 km

Solution: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.   Distance traveled = 12/5 * 5= 
12/5 * 5 = 12
12 km.   Distance between house and school= 12/2= 
12/2 = 6
6 km.   Answer: 6 km
Answer: C
John is traveling to a meeting that is 20 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?	Choices:	A) 40 mph	B) 37 mph	C) 41 mph	D) 49 mph	E) 56 mph

Solution: Well 40mph. A. Time*rate=distance --> 0.5*rate=20 --> rate=40
Answer: A
The average of 50 numbers id 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :  Pick
A) 22.3  B) 33.2  C) 22.2  D) 11.3  E) 37.5

Solution: 37.5xplanation:   Total of 50 numbers = (50×38)=1900(50×38)=1900   Total of 48 numbers =(1900-(45+55)]=1800   Required average = 180048=2256=37.5   Answer:37.5
Answer: E
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?  Answers:
A) 3098  B) 3000  C) 2878  D) 2899  E) 2712

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 7410= 
100/247 * 7410 = 3_000
3000   Answer3000
Answer: B
In the first 20 overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 30 overs to reach the target of 396 runs? Select:
A) 10.13	B) 9.13	C) 8.13	D) 11.13	E) 13.13

Solution: Required run rate = 396 - (4.6 x 20)	/30	=	304/30 = 10.13 Option 10.13
Answer: A
What will be the vulgar fraction of 0.60
Pick:
A) 3/7
B) 3/5
C) 3/2
D) 3/7
E) 3/8

Solution: Explanation:   0.6 = 60/100 = 3/5   Option 3/5
Answer: B
A train 130 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.  Choose the correct choice from the following:
A) 45 kmph	B) 50 kmph	C) 55 kmph	D) 60 kmph	E) 73 kmph

Solution: Explanation:   Let the speed of the train be x kmph.   Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.   Therefore 130/((x+5)×5/18)=6 <=> 30 (x + 5) = 2340 <=> x = 73   Speed of the train is 73 kmph.   Answer: Option 73 kmph
Answer: E
which of the following options is a multiple of 5!-20?  Choose the most appropriate option.
A) 4!+76  B) 5!+80  C) 4!-10  D) 5!+10  E) 2!+6

Solution: The factorial 5! is same as 5*4*3*2   Therefore 5!-20 =(5*4*3*2)-20   This gives you 120-20= 
120-20 = 100
100   4!+76 is the correct option.
Answer: A
If r > a and L < a, which of the following cannot be true?	Choose the correct option
A) d + L = 14
B) d - L = 7
C) d - L = 1
D) a - r = 9
E) a + d = 9

Solution: Is the answer D?   If r>a, then r-a>0 (always positive). The converse would be a-r<0 (always negative). Option a - r = 9 states that a-r=9, which can never be true.
Answer: D
If 5 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?	Choose the correct choice from the following choices
A) -8 B) -4 C) -3 D) 1 E) 6

Solution: The phrase “5 is one solution of the equation” means that one value of x is 5. Thus, we first must plug 5 for x into the given equation to determine the value of k. So we have   5^2 + (3)(5) + k = 10   25 + 15 + k = 10   40 + k = 10   k = -30   Next we plug -30 into the given equation for k and then solve for x.   x^2 + 3x – 30 = 10   x^2 + 3x – 40 = 0   (x+8)(x-5) = 0   x = -8 or x = 5   Thus, -8 is the other solution. -8nswer -8.
Answer: A
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 16% less than the price each head sold for the day before.what was the gross profit on this shipment?  Choose the most appropriate option:
A) $100  B) $110  C) $125  D) $130  E) $135

Solution: Sol:   1500 heads -> $600   1 head -> $600/1500   1 head -> $(2/5)   25% more of (2/5) -> 125/100 * 2/5 = $(1/2)   He sold   2/3*1500= 
  2/3*1500 = 1_000
1000 heads for $(1/2) per head   Total revenue by selling 1000 heads= 1000 * 1/2= 
1000 * 1/2 = 500
$500   Heads left: 500   Cost per head: 84% of the previous price: 84/100 * 1/2= $(21/50)   Total revenue by selling 500 heads = 21/50 * 500= 
21/50 * 500 = 210
210   Total revenue after selling 1500 cabbage heads - 210+500= $710   Money spent on the purchase: $600   Profit = 710-600= 
710-600 = 110
$110   Ans: $110
Answer: B
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Choices:
A) 7500	B) 7522	C) 2789	D) 3677	E) 2793

Solution: P = (d * 1002) / R2   => (48 * 100 * 100) / 8 * 8   = Rs.7500   7500nswer:7500
Answer: A
A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?  Choose the correct choice
A) 1009
B) 1110
C) 1111
D) 1112
E) 1122

Solution: 999919 = 1000000 - 81 = 1000^2 - 9^2 = (1000+9)(1000-9) = 1009*991.   Since there were more mice than there were cats, 991 cats killed 1009 mice each.   1009NSWER:1009
Answer: A
A student is ranked 13th from right and 8th from left. How many students are there in totality ?	Choose the correct choice from the following choices.
A) 18 B) 19 C) 20 D) 21 E) 22

Solution: From right 13 , From left 8   Total = 13+8-1= 
13+8-1 = 20
20   ANSWER:20
Answer: C
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Answers:
A) 40 %  B) 50 %  C) 60 %  D) 70 %  E) 80 %

Solution: Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50 %   50 %
Answer: B
In a group of 100 adults, 60 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?  Options:
A) 40 B) 52 C) 54 D) 60 E) 62

Solution: 12 left-haded women compose   100-60= 
  100-60 = 40
40% (or 2/5) of all women, so there are total of   5*12= 
  5*12 = 60
60 women --> 100-60=40 men.   40nswer: 40. --  100-60= 
 --  100-60 = 40
40 men.   40nswer: 40.
Answer: A
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2?  Choose the correct choice from the following options:
A) $0.50
B) $0.75
C) $1.25
D) $1.50
E) $1.75

Solution: Salary grade of 5 is p(5)=9.50+0.25(5–1)=9.50+0.25*4;   Salary grade of 2 is p(2)=9.50 + 0.25(2–1)=9.50+0.25;   p(5)-p(2)=9.50+0.25*4-9.50-0.25=0.75.   Answer: $0.75.
Answer: B
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both?  Pick one:	A) 120	B) 150	C) 200	D) 180	E) 160

Solution: n(120) = 75*600/100= 
75*600/100 = 450
450   n(B)= 45*600/100= 
45*600/100 = 270
270   n(120UB)= 600   n(120nB) = 450+270-600= 
450+270-600 = 120
120   120nswer is 120
Answer: A
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio A of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
Answers:
A) 5 to 1  B) 10 to 7  C) 1 to 5  D) 7 to 10  E) 9 to 10

Solution: Solutioning this exercise can be facilitated by using a R T W (rate time work) table:   We translate the exercise into the table:   R T W   X t/2 1   Y t 1   Z (t/2*3/2 =3t/4) 1   From this table we find the rates   Rx = 2/t   Ry = 1/t   Rz = 4/3t   The Q is what is the ratio of (Tx + Ty) / (Ty + Tz)   Rx + Ry = 2/t + 4/3t = 6/3t+4/3t = 10/3t   Ry+Rz = 1/t + 4/3t = 3/3t + 4/3t = 7/3t   The (10/3t)/(7/3t) = 10/7 then the work ratios is 10 to 7   Since Time Ratio A is the inverse of work, the the answer is 7 to 10   CORRECT ANSWER 7 to 10
Answer: D
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest after one year becomes:
Choose the correct choice.
A) 10.25%  B) 10.5%  C) 10.75%  D) 10%  E) None of these

Solution: Explanation :   Let the automobile financier lends Rs.100   Simple Interest for first 6 months = PRT/100=100×10×12/100=Rs. 5   After 6 months, he adds the simple interest to principal   i.e., after 6 months, principal becomes Rs.100 + Rs.5 = Rs.105   Simple Interest for next 6 months = PRT/100=105×10×1/2 /100=Rs. 5.25   Amount at the end of 1 year = Rs.105 + Rs. 5.25 = Rs.110.25   i.e., Effective Simple Interest he gets for Rs.100 for 1 year = 110.25 - 100= 
110.25 - 100 = 10.25
10.25   i.e, the Effective Rate of Interest= 10.25%   (∵R = 100×SI/PT=100×10.25/100×1=10.25%)   10.25%nswer : Option 10.25%
Answer: A
What percent of the different arrangements of the letters of the word ADACUS are those in which the vowels appear together?  Choose one
A) 20% B) 25% C) 30% D) 40% E) 50%

Solution: let's determine the number of total possibilities in arranging the letters. There are six spaces, so the total number of arrangements is 6!, or 360.   Next, we need to figure out how to determine the number of ways that we can arrange the 3 vowels together - simply place them together (as in AAU) and call that a single place.   Next, we must determine the number of ways to arrange the now 4 units (i.e., AAU, B, C, S). Like above, there are 4 units and 4 places so the number of arrangements is 4!, or 24.   Finally, we need to account for the number of ways we can arrange AAU. We can either write out each unique iteration (AAU, AUA and UAA) or calculate as 3!/2! and get 3.   Putting this all together, we get the number of ways to arrange the letters so that the vowels are together is 4! x 3 ==> 72   the number of total arrangements of all the letters is 6! ==> 360   72/360 = 1/5, or 20%   Correct answer is 20%
Answer: A
Which digits should come in place of * and $ if the number 62684*$ is divisible by both 8 and 5 ?	Choose the correct answer:
A) 8,5  B) 4,0  C) 1,4  D) 0,8  E) 8,0

Solution: Since the given number is divisible by 5, so 0 or 5 must come in place of $. But, a number ending with 5 is never divisible by 8. So, 0 will replace $.   Now, the number formed by the last three digits is 4*0, which becomes divisible by 8, if * is replaced by 4.   Hence, digits in place of * and $ are 4 and 0 respectively.   ANSWER 4,0 4,0
Answer: B
If a and b are even numbers, which of the following CANNOT be the value of ab?  Choose the correct option
A) 6 B) 14 C) 21 D) 24 E) 26

Solution: 21 is a odd number. The multiple of two even number should be an even number   ans 21
Answer: C
A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 60 meters apart,then at what speed is the train traveling?	Choose the correct choice from the following choices
A) 100km/hr B) 110km/hr C) 50km/hr D) 180km/hr E) 200km/hr

Solution: Number of gaps between 51 telephone posts = 50   180km/hristance traveled in 1 minute = 50*60= 
50*60 = 3_000
3000m= 3km   Speed = 60*3= 
60*3 = 180
180km/hr   Answer is 180km/hr
Answer: D
A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
Choose the correct choice from the following
A) 338  B) 277  C) 350  D) 288  E) 271

Solution: 288 = 80 * 5/18 = 22 = 488 – 200 = 288   Answer: 288
Answer: D
Present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. What is father's present age? Choose the correct choice from the following
A) 30  B) 31  C) 33  D) 35  E) 37

Solution: Let the present age the son =x   Then, present age of the father =3x+3   Given that, three years hence, father's age will be 10 years more than twice the age of the son   ⇒(3x+3+3)=2(x+3)+10⇒x=10   Father's present age   =3x+3=3×10+3=33   Answer is 31.
Answer: B
A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ?  Choose the correct choice from the following choices:
A) 41.9 hrs
B) 11.9 hrs
C) 61.9 hrs
D) 17.9 hrs
E) 71.9 hrs

Solution: Explanation:   We know that   Time = Distance/speed   Required time = (10 1/4)/2 + (10 1/4)/6   = 41/8 + 41/6   = 287/24 = 11.9 hours.   Answer: 11.9 hrs
Answer: B
A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?	Answers.
A) 36 kmph  B) 86 kmph  C) 66 kmph  D) 26 kmph  E) 62 kmph

Solution: Explanation:   Let the speed of goods truck be 'p' kmph   Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.   10p = 4 x 90   p = 36kmph.   Therefore, the speed of the goods truck is p = 36 kmph.   36 kmphnswer: 36 kmph
Answer: A
Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?  Choose the correct option: A) 25 B) 26 C) 27 D) 28 E) 29

Solution: If 5 toys are taken out of 49 toys and the remaining ones distributed to Tom and Bob, they will both have equal numbers of toys   49 - 5= 
49 - 5 = 44
44 for Tom and Bob   If distributed equally, each one will have    44 / 2= 
 44 / 2 = 22
22 toys   Bob has 5 more toys than Tom, so Bob has     22 + 5= 
  22 + 5 = 27
27 toys   correct answer 27
Answer: C