MU-NLPC/Calc-aqua_rat huggingface dataset:
Consider the word RMTMR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5 letter palindromes. Choose the correct answer.
A) 14355	B) 15432	C) 17576	D) 18543	E) 16878

Solution: The first letter from the right can be chosen in 26 ways because there are 26 alphabets.   Having chosen this, the second letter can be chosen in 26 ways   The first two letters can chosen in 26 x 26 = 676 ways   Having chosen the first two letters, the third letter can be chosen in 26 ways.   All the three letters can be chosen in 676 x 26 =17576 ways.   It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.   17576
Answer: C
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $480 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Choose the correct choice from the following answers:  A) 120  B) 180  C) 240  D) 280  E) 320

Solution: 3x=480   x=160   Therefore, the salesman sold 160kg in the morning and 2⋅160=320 kg in the afternoon. So answer is 320.
Answer: E
The average age of 24 students and the class teacher is 16 years. If the class teacher’s age is excluded, the average reduces by one year. What is the age of the class teacher?  Choose the most appropriate option:
A) 50 years
B) 45 years
C) 40 years
D) Data inadequate
E) Data inadequate

Solution: Age of the CT = 25 × 16 – 24 × 15 = 400 – 360 = 40 yrs.   Answer 40 years
Answer: C
A gives B a start of 10 metres in a 100 metre race and still beats him by 1.25 seconds. How long does B take to complete the 100 metre race if A runs at the rate of 10 m/sec?	Select the correct option
A) 8 seconds	B) 10 seconds	C) 16.67 seconds	D) 12.5 seconds	E) None

Solution: Solution:   A gives B a start of 10 metres in a 100 metre race. This means that when A runs 100 metres, B runs only 90 metres.   Despite that start, A beats B by 1.25 seconds.   As A is running at the speed of 10 m/sec, he will take 10 seconds to complete the 100 metre race. And B takes  10 + 1.25= 
 10 + 1.25 = 11.25
11.25 seconds to cover 90 metres.   Therefore, the speed at which B is running= 8 m/sec.   Running at 8 m/sec, B will take = 12.5 seconds to complete the 100 metre race.   Hence the correct answer is 12.5 seconds
Answer: D
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:  Choose the correct choice from the following options:
A) 320	B) 288	C) 322	D) 299	E) 281

Solution: Explanation:   Clearly, the numbers are (23 x 13) and (23 x 14).   {\color{Blue} \therefore } Larger number = (23 x 14) = 322.   Answer: 322) 322
Answer: C
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,053. How much did she invest at 5%?
Options:	A) $500	B) $600	C) $700	D) $900	E) $950

Solution: et x be the portion invested at 5% and   Let (1-x) be the rest which is invested at 6%   The question states that the return after 1 year is (1053/1000)-1= 
(1053/1000)-1 = 53/1_000 = around 0.053
0.053= 5.3%   We want to find the dollar amount invested in X   Using our defined variables, put together the equation and solve for x (the percentage of 1000 invested at 5%)   0.05x+0.06(1-x)= 0.053   (0.05)x +0.06 - (0.06)x = 0.053   -0.01x = -0.007   x= -0.007/-0.01 = 7/10 = 70%   So X = 70% of the 1000 which is 700   ANSWER:$700
Answer: C
In a class of 60 children, 30% children can speak only English, 20 % Hindi and English both and the rest of the children can speak only Hindi. How many children can speak Hindi?	Choose the correct choice from the following answers
A) 42  B) 36  C) 30  D) 48  E) None of these

Solution: Number of students who speak only English   = 30% of 60 = 18   ∵ Number of students who speak Hindi and English   = 20% of 60 = 12   ∵ Number of students who speak only Hindi   = (60 – 30 =) 30   ∵ No. of students who speak Hindi = 30 + 12= 
30 + 12 = 42
42   42nswer 42
Answer: A
I chose a number and divide it by 8. Then I subtracted 100 from the result and got 6. What was the number I chose? Choose the correct choice from the following:
A) 600
B) 700
C) 800
D) 900
E) 848

Solution: Solution:   Let x be the number I chose, then   x/8âˆ’100=6   x/8=106   x=848   Answer 848
Answer: E
In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure how many draws did it take before the person picked a heart and won. What is the probability that there will be at least three draws involved in a win, i.e. someone picking her first heart on the third draw or later?
Choose the correct choice from the following answers.
A) 1/2
B) 9/16
C) 11/16
D) 13/16
E) 15/16

Solution: Probability of picking a heart on any draw = 1/4   Probability of NOT picking a heart on the first draw AND on the second draw = [1-(1/4)] X [1-(1/4)] = 3/4 X 3/4 = 9/16   Answer:9/16
Answer: B
A train moves with a speed of 135 kmph. Its speed in metres per second is	Answers:
A) 10.8 B) 37.5 C) 30 D) 38.8 E) None

Solution: Solution   Speed	= 135Kmph   = (135x 5/18)m/sec   = 37.5 m/sec.   Answer 37.5
Answer: B
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 2 to 8. If a total of 120 sandwiches were made, how many bologna sandwiches
were made?
Choose one
A) 16 B) 30 C) 38 D) 42 E) 48

Solution: For deciding such task we should calculate all parts 5 + 2 + 8= 
5 + 2 + 8 = 15
15 parts   and we should calculate how many sandwiches holds 1 part:   120 / 15=6 sandwiches in one part   For bologna we have 7 parts so:    2 * 8= 
 2 * 8 = 16
16   16nswer is 16
Answer: A
A Colmar's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Colmar's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Colmar's to travel 850 kilometers? Answers:
A) 1 hour and 24 minutes.  B) 1 hour and 36 minutes.  C) 2 hours and 24 minutes.  D) 2 hours and 36 minutes.  E) 5 hours.

Solution: Difference in time = time taken by passenger train- time taken by Colmar's train   850/(250*68) *100 - 850/250   850 (100/ 250*68 - 1/250)   850*32/ (250*68)   1.6 hrs or 1 hr and 36 mins   1 hour and 36 minutes. is the answer
Answer: B
If m is the average (arithmetic mean) of the first 10 positive multiples of 2 and if M is the median of the first 10 positive multiples of 2, what is the value of M – m ? Choose the correct choice from the following answers.
A) –5
B) 0
C) 5
D) 25
E) 27.5

Solution: The first 10 positive multiples of 2 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.   Hence M=m --> M-m=0.   Answer: 0.
Answer: B
If A = x% of y and B = y% of x, then which of the following is true? Pick:
A) A is greater than B B) A is smaller than B. C) None of these D) A is Equal to B E) Relationship between A and B cannot be determined.

Solution: x% of y = (x/100 x y) = (y/100 x x) = y% of x   A = B.   answer :A is Equal to B
Answer: D
The average age of a class of 42 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Pick.
A) 30 Years B) 31 Years C) 32 Years D) 34 Years E) 59 Years

Solution: Total age of students is 42X16 = 672 Years   Total age inclusive of teacher = 43X (16+1) = 731   So, Teacher's age is 731-672= 
731-672 = 59
59 Yrs   There is a shortcut for these type of problems   Teacher's age is 16+(43X1)= 59 Years   59 Years
Answer: E
After an English exam, 9 percent of the test takers reported that they didn't study, while 10 percent of the test takers who didn't study refused to admit they hadn't studied. What percent of the test takers didn't study? Choose the most appropriate option:
A) 9%	B) 25%	C) 80%	D) 10%	E) 60%

Solution: Statement: 9% of Test Takers (TT) Reported they Didn't Study (RDS). Of the test takers who didn't study (DS) 10% refused to admit they didn't study (notRDT). [Note: A Venn Diagram is useful to visualize the problem.]   Solution: Sample space is 100%.   TT = 100%   R10%S/TT = 9%   notR10%S/10%S = 10% => 100% - 10% => R10%S/10%S = 90%   10%S/TT = (9)/(90)% = 10%   Answer: 10%
Answer: D
A city council will select 2 of 6 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?	Choose the most appropriate option
A) 36  B) 90  C) 144  D) 216  E) 432

Solution: OA D   6C2 * 6C1   using the combination formula to choose 2 from 9 and 1 from 6   90
Answer: B
If 40% of a certain number is 160, then what is 10% of that number?
Select the correct option.
A) 100
B) 40
C) 80
D) 120
E) 110

Solution: Explanation:   40% = 40*4= 
40*4 = 160
160   10%= 10*4= 
10*4 = 40
40   Answer: Option 40
Answer: B
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $1710. What is the average monthly balance maintained by John in his
account during the year? Choose the correct answer.
A) 2840 B) 5680 C) 6840 D) 8550 E) 28400

Solution: Soln:-   Bank balance is doubled with accumulation of interest to 1710..   this means INTEREST is   1710/2= 
  1710/2 = 855
855 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 8550..   ANSWER:8550
Answer: D
When the no.7y86038 is exactly divisible by 11, then the smallest whole no.in place of y?	Pick: A) 1 B) 2 C) 3 D) 5 E) 6

Solution: The given number =7y86038   Sum of the odd places =8+0+8+7= 
8+0+8+7 = 23
23   Sum of the even places= 3+6+y   (Sum of the odd places)- (Sum of even places) = Number (exactly divisible by 11)   23-(9+y) = divisible by 11   14 � y = divisible by 11.   Y must be 3, to make given number divisible by 11.   3
Answer: C
18 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?  Pick: A) 230 B) 274 C) 306 D) 354 E) 424

Solution: 2*183062 = 2*153= 
2*153 = 306
306   The answer is 306.
Answer: C
At the end of the first quarter, the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 80 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?  Choose the correct choice from the following choices:	A) 20%	B) 25%	C) 30%	D) 33%	E) 44%

Solution: Another method is to use the formula for 2 successive percentage changes:   Total = a + b + ab/100   80 = 25 + b + 25b/100   b = 44   Answer (44%)
Answer: E
Find a sum for first 10 prime no's from number series? Choose the correct choice from the following choices
A) 24  B) 28  C) 129  D) 178  E) 140

Solution: Required sum = (2+ 3+ 5+ 7+11+ 13+17+ 19+23+ 29)= 
(2+ 3+ 5+ 7+11+ 13+17+ 19+23+ 29) = 129
129   Note: 1 is not a prime number   Option 129
Answer: C
A merchant has selected two items to be placed on sale, one of which currently sells for 45 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?  Choose the correct choice from the following options:
A) 100 %  B) 90%  C) 80%  D) 70%  E) 60%

Solution: Expensive item = $100;   Cheap item = $55;   We must increase $55 to $100, so by $45, which is approximately 80% increase: (100-55)/55 = 3/7 = ~0.81.   Answer: 80%.
Answer: C
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?  Select.
A) 18 m B) 17 m C) 27 m D) 28 m E) 29 m

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b = 17 m.   Answer: 17 m
Answer: B
A no.when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no.21?	Choose the correct choice from the following choices.
A) 21  B) 22  C) 23  D) 24  E) 25

Solution: 281 + 160= 
281 + 160 = 441
441/21= 
441/21 = 21
21 (Remainder)   21
Answer: A
A certain child ate the following number of grapes on each of five days: 15, 19, 23, 26, 30. If the child were to have eaten 10 more grapes on the day she ate the most grapes, which of the following statements best describes the change in the mean and the median number of grapes?	Choose the correct answer:
A) The mean and the median will remain unchanged. B) The mean will remain unchanged but the median will increase. C) The mean will increase but the median will remain unchanged. D) The mean and the median will increase by the same amount. E) The mean and the median will increase by different amounts.

Solution: Old set = {15, 19, 23, 26, 30}.   New set = {15, 19, 23, 26, 40} --> the median (middle term) will remain the same and the mean will increase.   Answer: The mean will increase but the median will remain unchanged..
Answer: C
If log1087.5 = 1.9421, then the number of digits in (875)10 is? Choose the correct choice from the following choices.
A) 30  B) 28  C) 27  D) 26  E) 25

Solution: X = (875)10 = (87.5 x 10)10   Therefore, log10X = 10(log1087.5 + 1)   = 10(1.9421 + 1)   = 10(2.9421) = 29.421   X = antilog(29.421)   Therefore, number of digits in X = 30.   30NSWER:30
Answer: A
A train is 357 meter long is running at a speed of 42 km/hour. In what time will it pass a bridge of 137 meter length?
Pick one:	A) 44	B) 42.343	C) 50	D) 39.252	E) 27.851

Solution: Speed = 42 Km/hr = 42*(5/18) m/sec = 35/3 m/sec   Total distance = 357+137= 
357+137 = 494
494 meter   Time= Distance/speed   = 494 * (3/35) = 42.343 seconds.   Answer: 42.343
Answer: B
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?	Choose the correct choice from the following answers:
A) 49	B) 40	C) 42	D) 66	E) 44

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 96= 
7/16 * 96 = 42
42   Answer: 42
Answer: C
If $10 be allowed as true discount on a bill of $110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:	Answers:	A) $18.33	B) $22.33	C) $28.33	D) $26.23	E) $16.23

Solution: S.I. on $ (110 - 10) for a certain time = $10.   S.I. on $ 100 for double the time = $20.   T.D. on $ 120 = $ (120 - 100)= 
(120 - 100) = 20
$20.   T.D. on $ 110= $ (20/120 * 100)= $18.33   $18.33NSWER:$18.33
Answer: A
For 1rs 4p interest
wat will be for 5000rs?
Choose one:
A) 350Rs
B) 450Rs
C) 200Rs
D) 30Rs
E) 448Rs

Solution: For 1rs , 4p interest   for 5000rs, x   x= 5000/1 * 4p ==> 20000 paise   To express in rs, 20000/100 = 200rs   ANSWER:200Rs
Answer: C
John purchased n items from a catalog for $16 each. Postage and handling charges consisted of $9 for the first item and $5 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?  Select the correct option
A) 17n + 2 B) 17n + 4 C) 19n + 2 D) 19n + 3 E) 19n + 4

Solution: its 17n + 4   n items for $16 each   total price $16n   postage and handling of $9 for 1st item and $5 for the rest   total postage and handling = $ [9+ (n-5)]   = $ 16+4   total cost   16n+n+4 = 17n+4
Answer: B
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Select
A) 280
B) 290
C) 300
D) 340
E) 360

Solution: Number of ways = 61/21 6X5X4X3X2X1 - 360   360
Answer: E
On a game show, a contestant spins three four wheels; each wheel is numbered 1 to 7. What is the probability that the contestant will spin all tens? Options:
A) 1/2401 B) 2/5 C) 1 D) 9 E) 63

Solution: 1/2401ll 7s:   1st wheel = 7= 1/7   2nd wheel = 7 = 1/7   3rd wheel = 7 = 1/7   4th wheel = 7 = 1/7   (1/7)(1/7)(1/7)(1/7) = 1/2401   1/2401nswer: 1/2401
Answer: A
The L.C.M of 23 * 32 * 5 and 33 * 5 2 * 23 is. Select the correct option:
A) 22 * 32 * 5 B) 23 * 33 * 52 C) 23 * 5 * 32 D) 23 * 32 * 5 E) None of these

Solution: The L.C.M of 23 * 32 * 5 and 33 * 5 2 * 23 is   23 * 33 * 52   ANSWER:23 * 33 * 52
Answer: B
Patrick put together an indoor soccer team. Only 5 people play at a time. There are 10 people on the team. How many different line-ups can Patrick send out on the field?	Pick one
A) 56
B) 202
C) 252
D) 402
E) 424

Solution: 252ombination calc is: n 252 r = n! /(r!*(n-r)!) 10 P 5 = 10!/(5!x(10-5)!) = 10x9x8x7x6x(5x4x3x2x1)/(5!x5!)=10x9x8x7x6/(5x4x3x2x1)=252 252orrect answer is 252 (252)
Answer: C
A waitress's income consists of her salary and tips.During one week ,her tips were 3/4 of her salary.What fraction of her income for the week came from tips?	Choose the correct choice from the following answers:
A) 1/9	B) 1/6	C) 3/7	D) 4/9	E) 5/9

Solution: Her tips were 3/4 of her salary.   Let's say her salary =$4   This mean her tips = (3/4)($4) =$3   So, her TOTAL IN3/7OME =$4+$3=$7   What fraction of her income for the week came from tips   $3/$74+ 3= 
4+ 3 = 7
$7   What fraction of her income for the week came from tips   $3/$7= 3/7   = 3/7
Answer: C
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake? Options.
A) 0.125%  B) 1.25%  C) 12.5%  D) 30%  E) 0.352%

Solution: 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05= 
9.18 +5.17 +2.05 = 16.4
16.4x= 170 cookies   x= 170/16.4 = 10 (approx)   So, Ingrid baked 10*5.17 cookies or 51 cookies (approx)   % share = 51/170 =30 approx   Hence, answer is 30%.
Answer: D
A man can row upstream at 8kmph and downstream at 13 kmph.The speed of the stream is :	Select the correct option
A) 2.5 km/hr
B) 4.2 km/hr
C) 5 km/hr
D) 10.5 km/hr
E) None of these

Solution: Solution   Speed of stream =1/2(13-8) kmph = 2.5 kmph . 2.5 km/hrnswer 2.5 km/hr
Answer: A
In an examination, 32% of total students failed in Hindi, 56% failed in English and 12% in both. The percentage of these who passed in both the subjects is :  Choose the correct choice from the following answers.
A) 24  B) 37  C) 28  D) 40  E) 81

Solution: Explanation:   Formula n(aâˆªb) = n(a) + n(b) âˆ’ n(aâˆ©b)   Fail in Hindi or English = 32 + 56 â€“ 12 = 76   Therefore students who passed = 100 â€“ 76 = 24.   24nswer: 24
Answer: A
There are between 200 and 210 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?	Choose the correct choice from the following answers:
A) 201
B) 203
C) 206
D) 210
E) 209

Solution: Let number of cards = x   If the cards are counted 3 at a time , there are 2 left over-   x= 3p+2   x can take values 201 , 206   If the cards are counted 4 at a time , there is 1 left over   x= 4q+1   x can take values 201 , 208   Therefore , x = 201   201nswer 201
Answer: A
Find the sum of the number of combinations possible by using 1,2,3,4 such that no number is repeated(ex:- 1223,4322 are invalid 1234,4321 are valid)more than once. Pick one:
A) 66660	B) 66760	C) 66860	D) 66960	E) 67660

Solution: total no. formed = 4!=4*3*2*1= 
4*3*2*1 = 24
24   each digit will be used at each positions, 6 times   sum of digits at unit place= 6*1+6*2+6*3+6*4 = 6*(1+2+3+4)= 
6*(1+2+3+4) = 60
60   this sum will be same for hundred, tens & unit places   sum of all 4 digit numbers formed using digits 1,2,3,4= 1000*60+100*60+10*60+60   =60*(1000+100+10+1)   =60*1111= 
60*1111 = 66_660
66660   66660NSWER:66660
Answer: A
A meeting has to be conducted with 5 employees.Find the number of ways in which the employees may be selected from among 9 employees,if 2 employees will not attend the meeting together.  Choose the correct choice from the following choices:  A) 1.35  B) 2.12  C) 3.91  D) 4.126  E) 5.15

Solution: 9 employees, but two of them cannot attend the meeting together.   We can split it into two cases.   1. Meeting without these two employees in it. That would mean selecting 5, from the remaining 7 which is 7C5 = 21   2. Meeting with one of the two employees. select 1 manager from two, and then select 4 from the remaining 7, which is 2C1 X 7C4 = 70.   So, answer is   21 + 70= 
  21 + 70 = 91
91.   Answer : 3.91
Answer: C
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?  Answers
A) None of these	B) 720	C) 420	D) 122	E) Cannot be determined

Solution: Explanation :   The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it and   these 3 vowels should always come together. Hence these 3 vowels can be grouped   and considered as a single letter. that is, LDNG(EAI).   Hence we can assume total letters as 5 and all these letters are different.   Number of ways to arrange these letters = 5! = 5 x 4 x 3 x 2 x 1 = 120   In the 3 vowels (EAI), all the vowels are different.   Number of ways to arrange these vowels among themselves = 3! = 3 x 2 x 1= 6   Hence, required number of ways = 120 x 6= 720. Answer : Option 720
Answer: B
A certain stock exchange designates each stock with a 1, 2, or 3 letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?  Options:
A) 2,951
B) 8,125
C) 15,600
D) 16,302
E) 18,278

Solution: if each letter is the same: 26 different combinations   2 letters the same 26^2   all different 26^3   26^3 + 26^2 + 26 = 18278   Answer 18,278.
Answer: E
The L.C.M. (Lowest (or Least) Common Multiple) of two numbers is 45 times to their H.C.F (Highest Common Factor). If one of the numbers is 125 and sum of L.C.M. and H.C.F. is 1150, the other number is:
Choose one
A) 215 B) 220 C) 225 D) 235 E) 245

Solution: let hcf be 'a', lcm be 'b' and other no. be 'x'   a=45b   a+b=1150   b=25 a=1125   lcm*hcf= product of 2 no.   25*1125=125*x   x=225 ANSWER:225
Answer: C
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Choose one:
A) 40
B) 50
C) 60
D) 70
E) 80

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 2/25= 
500 * 2/25 = 40
40 sec   40nswer: Option 40
Answer: A
Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 12 even numbers. His mother immediately worked out the answer. How much had he scored in Math? Choose the correct choice from the following answers: A) 156 B) 146 C) 158 D) 187 E) 160

Solution: 156   156   Sum = (n x n) + n   Hence, 12 x 12 = 144 + 12= 
144 + 12 = 156
156
Answer: A
A car travels from A to B at an average speed of 50 km/hour. At what average speed would it have to travel from B to A to average 60 km/hour for the whole trip?	Pick one
A) 65 km/hour  B) 95 km/hour  C) 55 km/hour  D) 75 km/hour  E) 45 km/hour

Solution: Let d be the distance between A and B   T1 = d / 50 : travel time from A to B   Let S be the speed from B to A   T2 = d/S : travel time from B to A   60 = 2d/(T1 + T2) : average speed for the whole trip   60 = 2d/(d/50 + d/S) : substitute T1 and T2   S = 75 km/hour : solve the above equation for S.   correct answer 75 km/hour
Answer: D