MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $3,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Choose the correct option:
A) $21,700 B) $19,500 C) $20,200 D) $20,400 E) $21,100

Solution: Price in 96 = 22000   Price decrease each year = 2.5/100*22000= 
2.5/100*22000 = 550
550   Price in 97= 22000 - 550   Price in 98 = 22000 - 2*550   Price in 99 = 22000 - 3*550   Price in 00 = 22000 - 4*550   Price in 01 = 22000 - 5*550   Price in 02 = 22000 - 6*550= 
22000 - 6*550 = 18_700
18700   Investment in the car= 1500   Net price of the car in 02 = 18700 + 3000= 
18700 + 3000 = 21_700
$21700   Correct Option: $21,700
Answer: A
The average mark of a class of thirty six students is 72. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.  Choose the correct choice from the following answers:
A) 71 B) 74 C) 57 D) 76 E) 80

Solution: Exp. Total mark of 36 students = 72*36= 
72*36 = 2_592
2592,   Total mark after the removal of 3 students= 2592 –(32 +28+34 )   = 2592 – 94 = 2498   Approximate average mark = 2498/(36-3) = 2498/ 33 = 76   Answer: 76
Answer: D
If (18^a) * 9^(3a – 1)= (2^2)(3^b) and a and b are positive integers, what is the value of a?
Pick:	A) 22	B) 11	C) 9	D) 6	E) 2

Solution: (18^a) * 9^(3a – 1)= (2^2)(3^b)   = 2^a . 9^a . 9^(3a – 1) = (2^2)(3^b)   Just compare powers of 2 from both sides   Answer = 2 = 2
Answer: E
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?	Choose the correct choice from the following answers:
A) 18% B) 23% C) 44% D) 65% E) 34%

Solution: g%   = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer:44%
Answer: C
The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 4 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least four ingredients? (Also assume that each bin can hold one and only one blend.)  Choose the correct choice from the following options:
A) 1 B) 4 C) 7 D) 11 E) 10

Solution: We're told that there are 4 ingredients (we'll call them A, B, C and D); we're told that each 'mix' must include AT LEAST 4 ingredients...   4 ingredient blends:   1BCD   Total blends = 1   1
Answer: A
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $20 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?	Choose the correct choice from the following answers
A) 9%
B) 10%
C) 11%
D) 12%
E) 18%

Solution: x discount on Pony jeans, (0.22-x) discount on Fox jeans.   Set the equation: 3*15(0.22-x)+2*20x=9 --> x=0.18=18%   Answer: 18%.
Answer: E
The sum of first five prime numbers is?	Choose the correct choice
A) 12 B) 23 C) 24 D) 28 E) 30

Solution: Required sum = (2 + 3 + 5 + 7 + 11)= 
(2 + 3 + 5 + 7 + 11) = 28
28.   Note: 1 is not a prime number.   Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.   28
Answer: D
Which of the following are/is prime?
I. 146
II. 147
III. 149	Choose the correct choice.
A) II only	B) III only	C) III	D) IIII	E) I, II,III

Solution: 1) 143 = 13*11 so we know it is not prime quickly eliminate all options having 1 as a choice   which leaves us with 2 ) and 3) as possible answers   From here on we find 147 = 3* 49 so we eliminate 147 which leaves us with 149 as the only possible solution   I, II,III
Answer: E
What distance will be covered by a bus moving at 108 kmph in 30 seconds?  Options
A) 287  B) 600  C) 289  D) 276  E) 900

Solution: 108 kmph = 108 * 5/18= 
108 * 5/18 = 30
30 mps   D= Speed * time = 30 * 30= 
30 * 30 = 900
900 m.   Answer:900
Answer: E
If x^2 + y^2 = 18 and xy = 3, then (x − y)^2 =  Choose one:	A) 8	B) 11	C) 14	D) 12	E) 20

Solution: but you cannot take xy+ 3 to mean xy=-3..   only if xy+3=0, it will mean xy=-3..   rest your solution is perfect and you will get your correct answer as 18-2*3=12..   Answer 12
Answer: D
How many words can be formed by using all letters of the word ‘ILLINOIS’ ?
Answers.
A) 40230  B) 40320  C) 30420  D) 20340  E) 40240

Solution: Solution   The word ILLINOIS contains 8 different letters.   Required number of words = 8P8 = 8 ! = (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 40320   Answer 40320
Answer: B
The maximum numbers of students among them 561 toys and 510 pencils can be distributed in such a way that each student gets the same number of toys and same number of pencils is
Choose the correct choice from the following choices:
A) 91  B) 910  C) 1001  D) 51  E) None

Solution: olution   Required number of students.   = H.C.F of 561 and 510.   â€¹=â€º 51.   Answer 51
Answer: D
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 15% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?	Choose one.
A) 11.7%
B) 12.5%
C) 15%
D) 22%
E) 30%

Solution: Answer is A.   This question is in the OG and thus well explained by ets.   those who exceed : X   so X = 10%+0,15X   id est X = 11,7%
Answer: A
Find the odd man out.
6, 9, 15, 21, 24, 28, 30 Choose the correct choice.
A) 28 B) 27 C) 26 D) 98 E) 12

Solution: Explanation:   Each of the numbers except 28, is a multiple of 3.   28nswer: 28) 28
Answer: A
How many numbers between 0 and 1470 have a prime tens digit and a prime units digit?
Answers:	A) 228	B) 236	C) 244	D) 252	E) 260

Solution: From 1-9 there are 4 prime numbers {2, 3, 5, 7}. The 10s and 1s of the number must be made with these numbers. The total number of combinations is  4*4= 
 4*4 = 16
16. Thus every set of 100 consecutive positive integers has 16 such numbers.   From 0 to 1400, there  16*14= 
 16*14 = 224
224 such numbers.   From 1401 to 1470, the 10s units can only use 3 numbers {2, 3, 5}. 3*4=12.   The total number is then  224+12= 
 224+12 = 236
236   The answer is 236.
Answer: B
A box contains 20 machine parts, 5 of them being standard. A worker takes out 3 parts at random. Find the probability that at least 1 of 3 turns out to be standard.	Choose the correct choice from the following answers
A) 137/228
B) 13/228
C) 91/228
D) 41/228
E) None of these

Solution: Explanation :   Let, E ≡ at least 1 of the 3 parts turns out to be standard.   P(E) = 1 - P(none is standard)   = 1 - (15C3 / 20C3 ).   = 1 - (15 x 14 x 13) / ( 20 x 19 x 18).   = 137/228.   137/228nswer : 137/228
Answer: A
In a class of 42 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? Choose the correct choice from the following:
A) 1	B) 5	C) 8	D) 13	E) 15

Solution: Total # of students = 42   1vg # of books per student = 2   Total # of books = 42*2= 
42*2 = 84
84   # of student borrowed at least 3 books= 42-2-12-10= 
42-2-12-10 = 18
18   # of books borrowed by above 18 students=84-(12*1)+(10*2) = 52   Considering that 17 out of above 18 students borrowed only 3 books, # of books borrowed = 17*3= 
17*3 = 51
51   So maximum # of books borrowed by any single student= 52-51= 
52-51 = 1
1   Option 1
Answer: A
In 19 years time the combined ages of my three brothers will be 94. What will it be in nine years time?	Choices:
A) 45 B) 62 C) 82 D) 97 E) 56

Solution: 82   82   82ombined age in 9 years time will 94 – (3 x (13 – 9))   94 – 12 = 82.
Answer: C
The population of City A for each of three years is shown in the table above. If the population grew by m percent from 1970 to 1980 and n percent from 1980 to 1990, then m exceeds n by how much?	Choose the most appropriate option:
A) 37.5	B) 20	C) 17.5	D) 15	E) 12.5

Solution: 70 - 80   m = (55-40)/40 = 3/8   80 - 90   n = (66-55)/55 = 1/5   m - n   3/8 - 1/5 = 7/40 = 17.5%   ANSWER:17.5
Answer: C
Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?	Choose the correct option:
A) 6 minutes  B) 8 minutes  C) 5 minutes  D) 2 minutes  E) 7 minuteS

Solution: Required time =12*24/12+12=12*24/36   =24/3= 
24/3 = 8
8 minutes   ANSWER:8 minutes
Answer: B
A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 7 adults have their meal, find the total number of children that can be catered with the remaining food.
Pick one
A) 33
B) 54
C) 81
D) 17
E) 01

Solution: Explanation:   As there is meal for 70 adults and 7 have their meal, the meal left can be catered to 63 adults.   Now, 70 adults = 90 children   7 adults = 9 children   Therefore, 63 adults = 81 children   Hence, the meal can be catered to 81 children.   ANSWER: 81
Answer: C
The length of a rectangular landscape is 12 times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/4rd of the total landscape. What is the length of the landscape?  Choose the correct choice from the following answers:
A) 90
B) 120
C) 240
D) 180
E) 110

Solution: Sol. x *12x = 4 * 1200   x = 20   Length = 12 * 20= 
12 * 20 = 240
240   240
Answer: C
The compound ratio of 2:3, 3:2 and 4:5? Answers:
A) 1:9	B) 1:7	C) 1:2	D) 4:5	E) 1:4

Solution: 2/3 * 3/2 * 4/5   = 4/5   =4:5   Answer: 4:5
Answer: D
A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $520 less than the sum lent. What was the sum lent? Pick:	A) 800	B) 1000	C) 1200	D) 1400	E) 1600

Solution: P - 520 = (P*6*8)/100   P = 1000   The answer is 1000.
Answer: B
After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.4 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Choose the most appropriate option
A) 2.5 B) 3.0 C) 4.0 D) 6.4 E) 8.0

Solution: Let initial volume of ice be = x   Ice Remaining after 1 hour = x - 0.75x = 0.25x   Ice Remaining after 2 hour = (1/4)x - (3/4 * 1/4 * x) = (1/16)x   (1/16)x = 0.4   x = 6.4   Alternate solution: Try to backsolve.   Initial volume = 6.4   After one hour --> (1/4)6.4 = 1.6   After two hours --> (1/4)1.6 = 0.4   Answer: 6.4
Answer: D
Lucy deposited $62500 in an investment fund that provided 24 percent annual return compounded half yearly.If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $10400? Choose the correct choice from the following.
A) 0.5	B) 2	C) 12	D) 6	E) 6.1

Solution: A = P + I = 62500 + 10400= 
62500 + 10400 = 72_900
72900   72900= 62500(1 + 24/2*100)^(2t)   (676/625) = (112/100)^(2t)   (27/25)^2 = (27/25)^2t   t = 1yrs = 12 months   Answer: 12
Answer: C
How much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m, moving at 36 kmph in the same direction?
Select.
A) 50	B) 99	C) 64	D) 76	E) 12

Solution: The distance to be covered = Sum of their lengths = 280 + 360= 
280 + 360 = 640
640 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 640/10= 
640/10 = 64
64 sec.   Answer:64
Answer: C
If José reads at a constant rate of 2 pages every 5 minutes, how many seconds will it take him to read N pages?
Choose the correct choice from the following options
A) 2/5*N	B) 2N	C) 5/2*N	D) 24N	E) 150N

Solution: Jose would read 1 page in 5/2 min   Jose would read N page in (5/2)*N min i.e. (5/2)*N*60 Seconds = 150N Seconds.   ANSW150NR:150N
Answer: E
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?	Choose the correct choice from the following answers:
A) 3630
B) 4000
C) 4200
D) 4400
E) 4500

Solution: Explanation:   6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630)
Answer: A
862.68 âˆ’ 4.5 + 108.98 = ? âˆ’ 2132.54
Options.
A) 6078.58 B) 5225.9 C) 6258.58 D) 6088.58 E) None

Solution: Option '6088.58'
Answer: D
Mrs. Rodger got a weekly raise of $165. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choose the correct answer:
A) $204  B) $231  C) $156  D) $165  E) $200

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 165.   So after completing the 1st week she will get $ (x+165).   Similarly after completing the 2nd week she will get $ (x + 165) + $ 165.   = $ (x + 165 + 165)   = $ (x + 330)   So in this way end of every week her salary will increase by $ 165.   $165
Answer: D
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Select the correct option.
A) 6400
B) 6500
C) 7200
D) 7500
E) 7800

Solution: Explanation :   Let the investment in scheme A be Rs.x   and the investment in scheme B be Rs.(13900 - x)   We know that SI = PRT/100   Simple Interest for Rs.x in 2 years at 14% p.a. = x×14×2/100=28x/100   Simple Interest for Rs.(13900 - x) in 2 years at 11% p.a. = (13900−x)×11×2/100   =22(13900−x)/100   Total interest = Rs.3508   28x/100+22(13900−x)/100=3508   28x+305800−22x=350800   6x=45000   x=45000/6= 
45000/6 = 7_500
7500   Investment in scheme B= 13900 - 7500 = Rs.6400   6400nswer : Option 6400
Answer: A
The average age of 15 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is Choose the correct choice from the following answers: A) 22 B) 37 C) 99 D) 38 E) 27

Solution: total age increased = (15 * 2)= 
(15 * 2) = 30
30 years.   Sum of ages of two new men= (21 + 23 + 30)= 
(21 + 23 + 30) = 74
74 years   Average age of two new men= (74/2)= 
(74/2) = 37
37 years.   Answer: 37
Answer: B
A company pays project contractors a rate ofadollars for the first hour andbdollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 4 and 8 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
Pick
A) Per month, with savings of $(3a + 3b)
B) Per month, with savings of $(3a - 3b)
C) The two options would cost an equal amount.
D) Per project, with savings of $(3a + 3b)
E) Per project, with savings of $(3a - 3b)

Solution: Per Project, company will pay as follows:   For 4 hours work = a+3b   For 8 hours work = a+7b   Total = 2a+10b   Per Month, company will pay for 12 hours work = a+11b   Total per contract - total per month   4a+8b - (a+11b)   3a-3b   Since a>b Amount 4a+8b(per contract amount) > a+11b (per project amount) by 3a-3b.   Hence per month payment will be cheaper by 3a-3b .   OA Per month, with savings of $(3a - 3b)
Answer: B
It takes six minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video? Choose the correct choice
A) 13.8  B) 14.1  C) 14.4  D) 14.6  E) 14.8

Solution: The laptop can load the video at a rate of 1/15 of the video per second.   The phone can load the video at a rate of 1/(60*6) = 1/360 of the video per second.   The combined rate is 1/15 + 1/360 = 25/360 of the video per second.   The time required to load the video is 360/25= 
360/25 = 72/5 = around 14.4
14.4 seconds.   The answer is 14.4.
Answer: C
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?	Pick
A) 45 B) 56 C) 47 D) 57 E) 49

Solution: Explanation: With all the talk of doubling and halves, your brain jumps to the conclusion that to solve the problem of when the lily patch covers half the lake, all you have to do is divide the number of days it took to fill the lake (48) in half. It's understandable but wrong.   The problem says that the patch DOUBLES in size every day, which means that on any day, the lily patch was half the size the day before. So if the patch reaches the entire size of the lake on the 48th day, it means the lily pad was half the size of the lake on day 47.   correct answer is 47)47
Answer: C
The sum of two numbers is 16 and the sum of their squares is 113. Find the
numbers.
Choose the correct choice from the following choices:  A) 1 and 2  B) 4 and 5  C) 7 and 8  D) 2 and 3  E) 6 and 7

Solution: Let the numbers be x and (15 - x).   Then, x2 + (15 - x)2 = 113 =>	x2 + 225 + X2 - 30x = 113   => 2x2 - 30x + 112 = 0 => x2 - 15x + 56 = 0   => (x - 7) (x - 8) = 0 => x = 7 or x = 8.   So, the numbers are 7 and 8.   Answer is 7 and 8
Answer: C
The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 6 per metre approximately  Choose the correct choice from the following options:	A) 4457	B) 4567	C) 4235	D) 4547	E) 8915

Solution: Explanation:   Area = (17.56 x 10000) m2= 175600 m2.   ΠR2 = 175600 ⇔ (R)2 = (175600 x (7/22)) ⇔ R = 236.37 m.   Circumference = 2ΠR = (2 x (22/7) x 236.37) m =1485.78 m.   Cost of fencing = Rs. (1485.78 x 6) = Rs. 8915.   Answer: Option 8915
Answer: E
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 7380, then what will be the share of Sameer in the profit? Choose the correct answer:
A) s.2323
B) s.2380
C) s.2329
D) s.2329
E) s.2520

Solution: Kamal : Sameer = (9000 * 12) : (8000 * 7)   = 108:56 = 27:14   Sameer's share = 7380 * 14/41   = Rs.2520.   Answer: s.2520
Answer: E
In how many ways can the letters of the word 'LEADER' be arranged?  Choose the correct choice from the following choices
A) 90	B) 180	C) 360	D) 60	E) 240

Solution: The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.   Therefore, Required number of ways = 6!/(1!)(2!)(1!)(1!)(1!)= 360.   Answer is 360.
Answer: C
If x and y are integers and x=50y + 49, which of the following must be odd?  Choices:	A) xy	B) x + y	C) x + 4y	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 + 4*odd = odd ; odd + 2*even = odd -> TRUE, stop here.   D&E -- EVEN   Answer x + 4y
Answer: C
John and David work at a hospital with 4 other workers. For an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. What is the probability that John and David will both be chosen?  Choose the correct choice from the following
A) 1/14 B) 1/20 C) 1/13 D) 1/7 E) 1/6

Solution: Probability that John and David will both be chosen out of 8 workers   = (2/4)*(1/3)   = 1/6   Answer 1/6
Answer: E
In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students? Pick.
A) 600	B) 650	C) 700	D) 750	E) None of these

Solution: Explanation :   Solution: let the total number of students be x.   Number passed in one or both is given by : n( A U B) = n(A)+n(B) -n( A ^ B).   = 60% of x+65% of x-40% of x   = (60/100 * x + 65/100 * x - 40/100 * x)   = 85x/100 = 17x/20.   Failed in both = (x - 17x/20) = 3x/20.   .'. 3x/20 =90   x = 90*20/3= 
90*20/3 = 600
600.   600nswer : 600
Answer: A
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 16 times as heavy as water? Choose the correct choice from the following answers:	A) 1:2	B) 7:3	C) 4:1	D) 5:2	E) 6:5

Solution: G = 19W   C = 9W   Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy   1gm gold + x gm copper = x+1 gm of alloy   19W+9Wx = x+1 * 16W   19+9x = 16(x+1)   x = 3/7   Ratio of gold with copper = 1:3/7 = 7:3   Answer is 7:3
Answer: B
How many possible ways can 5 girls (Rebecca, Kate, Ashley) go on a date with 5 boys (Peter, Kyle, Sam)?  Choose the correct option
A) 3  B) 120  C) 5  D) 6  E) 8

Solution: Any one girl can go with 5 boys.   2nd girl can go with remaining 4 boys   3nd girl can go with remaining 3 boys   4nd girl can go with remaining 2 boys. 5nd girl can go with remaining 1 boys. 5! i.e 120 (120) is the answer
Answer: B
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?  Choose the correct choice: A) 18% B) 19% C) 28% D) 68% E) 48%

Solution: 1500 ---- 270   100 ---- ? => 18%   18%nswer: 18%
Answer: A
In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?  Select: A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Let the number of papers be x. Then,   63x + 20 + 2 = 65x   = 2x = 22   = x = 11.   ANSWER:11
Answer: D
A trader sells 60 meters of cloth for Rs. 8400 at the profit of Rs. 12 per metre of cloth. What is the cost price of one metre of cloth?
Choose the correct choice:	A) 128	B) 140	C) 123	D) 110	E) 150

Solution: SP of 1m of cloth = 8400/60 = Rs. 140   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 140 - Rs. 12 = Rs. 128.   128nswer: 128
Answer: A
A person covers a distance in 6 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Choose the correct choice from the following:
A) 18 m/s B) 4 m/s C) 15 m/s D) 10 m/s E) 5 m/s

Solution: Explanation:   T = 6 m   Spees = 12 kmph   = 12 x 5/18 = 10/3 m/s   Let new speed be "x"   6 x (10/3) = 5x   x = 4 m/s   Answer: Option 4 m/s
Answer: B
A train which has 500 m long, is running 100 kmph. In what time will it cross a person moving at 10 kmph in same direction ?
Select.
A) 20 sec  B) 25 sec  C) 30 sec  D) 35 sec  E) 40 sec

Solution: Time taken to cross a moving person = length of train/ relative speed   Time taken = 500/((100-10) (5/18) = 500/ 90*(5/18) = 500/25= 
500/25 = 20
20 sec   20 secnswer: 20 sec
Answer: A
The ratio of the volumes of two cubes is 125 : 216. What is the ratio of their total surface areas?  Choose the correct choice from the following options:	A) 25:36	B) 12:25	C) 25:46	D) 18:22	E) 12:24

Solution: Ratio of the sides = Â³âˆš125 : Â³âˆš216   = 5 : 6   Ratio of surface areas =25:36   25:36nswer: 25:36
Answer: A
Calculate the cost of b bags of grains given that the cost of c bags of said grain is d rupees?	Choose the correct answer: A) Rs.(b/d*c) B) Rs.(d*c) C) Rs.(d/c) D) Rs.(bd/c) E) Rs.(b*c)

Solution: Cost of c bags = Rs. d.   Cost of 1 bag = Rs.	d/c   Cost of b bags = Rs.(d/c)* b= Rs.(bd/c)   Answer is Rs.(bd/c).
Answer: D
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?	Answers.
A) Rs.7500  B) Rs.7000  C) Rs.8000  D) Rs.6500  E) None of these

Solution: P = (d * 1002) / R2   => (48 * 100 * 100) / 8 * 8 = Rs.7500   Rs.7500NSWER:Rs.7500
Answer: A