MU-NLPC/Calc-aqua_rat huggingface dataset:
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Select the correct option:
A) 5
B) 7
C) 9
D) 11
E) 12

Solution: Formula: (Divisor*Quotient) + Remainder = Dividend.   Soln:   (56*Q)+29 = D -------(1)   D%8 = R -------------(2)   From equation(2),   ((56*Q)+29)%8 = R.   => Assume Q = 1.   => (56+29)%8 = R.   => 85%8 = R   => 5 = R.   5)
Answer: A
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Choose the correct choice.
A) 5
B) 7
C) 9
D) 11
E) 13

Solution: Explanation:   x – y = 5   4x – 6y = 6   x = 12 y = 7   7)
Answer: B
What is the value of (5!*4!*3!*2/ 6!*6!)-1/15?  Pick one.
A) 5
B) 12
C) 20
D) 0
E) 4

Solution: (5!*4!*3!*2/6!*6!)-1/15   (5!*4!*3!*2/5!*6*4!*5*6)-1/15   (3!*2/6*5*6)-1/15   1/15-1/15= 
1/15-1/15 = 0
0   answer 0
Answer: D
A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?	Choose the correct choice from the following.
A) 1/6 B) 1/5 C) 1/4 D) 1/3 E) 1/2

Solution: Let x be the fraction of her take-home pay that the worker saved.   Let P be the monthly pay.   12xP = 6(1-x)P   12xP = 6P - 6xP   18xP = 6P   x = 1/3   The answer is 1/3.
Answer: D
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 1800 interest only for the period. The principal amount borrowed by him was: Select:
A) s. 2,500
B) s. 1,000
C) s. 15,000
D) s. 5,000
E) s. 2,000

Solution: Principal = Rs. (100 x 1800)/(12X3) = Rs. 5000. Answer: Option s. 5,000
Answer: D
Find the amount on Rs.5000 in 2 years, the rate of interest being 10% per first year and 12% for the second year? Answers
A) 3377 B) 6160 C) 5460 D) 1976 E) 1671

Solution: 5000 * 110/100 * 112/100= 
5000 * 110/100 * 112/100 = 6_160
> 6160   Answer: 6160
Answer: B
What is the greatest value of n such that 18^n is a factor of 18! ?
Choose the correct answer: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: We know that 18 = 2 *3^2.   Hence, we need to find total number of 3s in 18! ( As out of 3 and 2 , we will have count of 3 least)   No. of 3s = 18/3= 
18/3 = 6
6/3= 
6/3 = 2
2.   Add the numbers in Bold, you will get total number of 3s= 8.   Hence, total number of 3^2 = 8/2= 
8/2 = 4
4.   Hence, answer is 4.   ANSWER:4
Answer: D
In 1992 a total of 100 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 10 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia? Choose the correct choice from the following options:
A) 1/5
B) 1/9
C) 1/2
D) 1/3
E) 1/4

Solution: We're given a couple of facts to work with:   1) There were a total of 100 earthquakes   2) Of those earthquakes, 10 of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Thus, there were 90 earthquakes that DID NOT occur in Asia....   The answer to the question is 10/90 = 1/9   Answer : 1/9
Answer: B
How many such 6's are there in the following number series which are followed by an even number and preceded by any odd number ? 3 6 4 5 7 6 3 5 4 3 6 4 5 6 4 1 6 3 9 6 3 4 5 6	Choose the most appropriate option:
A) three B) one C) two D) four E) none

Solution: 3 6 4   3 6 4   5 6 4   so three times   threeNSWER:three
Answer: A
A train leaves Delhi at 11 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet? Choose the correct option.
A) 360 B) 288 C) 600 D) 888 E) 121

Solution: D = 30 * 3= 
30 * 3 = 90
90   RS= 40 – 30 = 10   T = 90/10= 
90/10 = 9
9   D= 40 * 9= 
40 * 9 = 360
360 km   360nswer: 360
Answer: A
In a family 11 people eat only vegetarian, 6 people eat only non veg., 9 people eat both veg and non veg.. How many people eat veg in the family?
Choose the correct choice from the following choices.
A) 20 B) 11 C) 9 D) 31 E) 21

Solution: Total people eat veg = only veg + both veg and non veg   Total= 11+9= 
11+9 = 20
20   20nswer= 20
Answer: A
30 pens and 75 pencils were purchased for 450. If the average price of a pencil was 2.00, find the average price of a pen.  Select
A) 10	B) 11	C) 12	D) 13	E) 14

Solution: Since average price of a pencil = 2   ∴ Price of 75 pencils = 150   ∴ Price of 30 pens = (450 – 150) = 300   ∴ 10verage price of a pen = 360⁄60 = 10   10nswer 10
Answer: A
A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 8800. What is the share of B ? Choices
A) 1100
B) 800
C) 1400
D) 1200
E) 1600

Solution: Let C's capital = Rs. x. Then, B's capital = Rs. (2/3)x   A’s capital = Rs. (3 x (2/3).x) = Rs. 2x.   Ratio of their capitals = 2x : (2/3)x :x = 6 : 2 : 3.   Hence, B's share = Rs. ( 8800 x (2/11))= Rs. 1600.   Answer is 1600
Answer: E
A car covers a distance of 624 km in 4 hours. Find its speed?  Select.
A) 104 B) 277 C) 156 D) 269 E) 213

Solution: 624/4= 
624/4 = 156
156 kmph   Answer:156
Answer: C
Shop Offered 32% offer for every Shirt, Smith bought a shirt at Rs. 650. and What was the shop's original selling Price?	Choose the correct choice from the following.
A) 955  B) 550  C) 600  D) 700  E) 750

Solution: SP* (68/100) = 650   SP= 9.55 * 100 => CP = 955   955nswer:955
Answer: A
A Booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?  Choose the correct choice: A) 18 B) 50 C) 34 D) 69 E) 59

Solution: Let, the filling capacity of the pump be x m3/min   Then, emptying capacity of the pump=(x+10) m3/min.   So,2400/x – 2400/(x+10) = 8   on solving x=50.   ANSWER:50
Answer: B
If 0.75 : x :: 5 : 8, then x is equal to: Choose one
A) 120  B) 12  C) 1.2  D) 0.12  E) 0.012

Solution: ((x) x 5) = (0.75 x 8)   = x = 6/5= 
6/5 = 6/5 = around 1.2
1.20   Answer is 1.2.
Answer: C
If a student loses 5 kilograms, he will weigh twice as much as his sister. Together they now weigh 116 kilograms. What is the student's present weight in kilograms? Answers:
A) 76
B) 77
C) 78
D) 79
E) 80

Solution: Let x be the weight of the sister.   Then the student's weight is 2x+5.   x + (2x+5) = 116   3x = 111   x = 37 kg   Then the student's weight is 79 kg.   The answer is 79.
Answer: D
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea? Choose one:
A) 23.75 B) 22 C) 20 D) 19.20 E) None of these

Solution: C.P. of mixture = 80×15+20×20/80+20=16   ∴ S.P. = (100+25)/100×16=20   Answer 20
Answer: C
When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 3 years from now?
Select the correct option:  A) 42 years  B) 41 years  C) 43 years  D) 40 years  E) 45 years

Solution: Let x= current age 4(x+4)+5(x+5)=10x ;so x=R 41 years   Answer 43 years
Answer: C
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35	Choose the correct choice from the following answers
A) 23
B) 87
C) 26
D) 54
E) 01

Solution: Explanation:   The number is 1/3 of 1/4 is =15 then 1/3 × 1/4 = 15   Number is 180 then 180 × 3/10 = 54   Answer: 54
Answer: D
Mangala completes a piece of work in 10 days, Raju completes the same work in 15 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct choice from the following answers:
A) 5 days	B) 6 days	C) 7 days	D) 8 days	E) 9 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 Ã— 15/25 = 6 days.   6 days)
Answer: B
In a garden, there are 10 rows and 15 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Choose the correct choice from the following options
A) 20 m
B) 30 m
C) 24 m
D) 26 m
E) 28 m

Solution: Explanation:   Each row contains 15 plants.   There are 14 gapes between the two corner trees (14 x 2) metres and 1 metre on each side is left.   Therefore Length = (28 + 2)= 
(28 + 2) = 30
30 m.   Answer: 30 m
Answer: B
If x and y are integers and x + y = 5, which of the following must be true?	Choose the correct choice from the following options
A) x and y are consecutive integers.
B) If x < 0, then y > 0.
C) If x > 0, then y < 0.
D) Both x and y are even.
E) Both x and y are less than 5.

Solution: Notice that the question asks which of the following MUST be true, not COULD be true.   Given: x + y = 5   A. x and y are consecutive integers: not necessarily true, for example x=1 and y=4;   B. If x < 0, then y > 0: if x is negative then y must be positive in order x+y to be positive, so this statement must be true;   C. If x > 0, then y < 0: not necessarily true, for example x=1 and y=4;   D. Both x and y are even: never true, as the sum of two even numbers is even and can not equal to odd number 5;   E. If x < 0, then y > 0.oth x and y are less than 5: not necessarily true, for example x=6 and y=-1;   Answer: If x < 0, then y > 0..
Answer: B
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 5 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Select the correct option:
A) 1 ≤ n ≤23
B) 3 ≤ n ≤21
C) 6 ≤ n ≤18
D) 5 ≤ n ≤19
E) 9 ≤ n ≤15

Solution: ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 12+5-2+3= 
12+5-2+3 = 18
18 for the maximum, and   12-5+2-3= 
  12-5+2-3 = 6
6 for the minimum, so 6 ≤ n ≤18 is the answer
Answer: C
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?	Choose the correct option:  A) 18 litres of wine  B) 24 litres of wine  C) 32 litres  D) 42 litres  E) None

Solution: Solution   Let the quantity of the wine in the cask originally be x litres   then, quantity of wine left in cask after 4 operations   = [x(1- 8/x)4] litres.   Therefore x(1- 8/x)4 / x = 16/81 =› (1- 8/x)4 = (2/3)2   =› (x - 8 / x) = 2/3 =› 3x - 24 = 2x =› x = 24.   Answer 24 litres of wine
Answer: B
The sides of a cube are in the ratio 1:2 the ratio of their volume is?	Choose the correct choice from the following answers:
A) 1:6
B) 1:4
C) 1:0
D) 1:2
E) 1:1

Solution: 1:4   Answer:1:4
Answer: B
It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
Choose the most appropriate option:
A) 1h 15m  B) 6h 35m  C) 3h 45m  D) 2h 49m  E) 4h 40m

Solution: Let: S be the speed of the boat in still water, r be the rate of the water current and d the distance between A and B.   d = 3(S + r) : boat traveling down river   d = 5(S - r) : boat traveling up river   3(S + r) = 5(S - r)   r = S / 4 : solve above equation for r   d = 3(S + S/4) : substitute r by S/4 in equation B   d / S = 3.75 hours = 3 hours and 45 minutes.   correct answer is :3h 45m) 3h 45m
Answer: C
Find the ones digit of 73^300 Choices:
A) 3 B) 5 C) 6 D) 7 E) 10

Solution: Cyclicity of 3 is 3,9,7,1after 4 multiplication again the cycle repeats.   So divide 330 by 4 and we get 87 as quotient and 2 as remainder. So cycle will run for 87 times and then 2 times more. So pick up the 2nd item from the cycle.   Hence Answer 10.
Answer: E
If the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 280, 511, 1023 and x?  Options:
A) 395 B) 375.8 C) 355 D) 415 E) 365

Solution: The mean of numbers 28, x, 42, 78 and 104 is 62: 28+x+42+78+104=62*5 --> x=58;   So, the mean of 128, 255, 511, 1023 and x is (128+255+280+511+1023+58)/6=375.8.   Answer: 375.8.
Answer: B
What is the equation of a circle of radius 4 units centered at (3, 2)?  Options
A) x^2 + y^2 + 6x – 4y = 23  B) x^2 + y^2 - 6x + 4y = 23  C) x^2 + y^2 - 6x – 4y = 3  D) x^2 + y^2 - 6x – 4y = - 23  E) x^2 + y^2 + 6x + 4y = 23

Solution: the equation of a circle with center at (a,b) and radius R is (X-a)^2+(Y-b)^2=R^2   => answer = (X-3)^2+(Y-2)^2=4^2   solving,,we get the equation in answer choice x^2 + y^2 - 6x – 4y = 3
Answer: C
If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of leaf ?
Choices:
A) Red  B) Green  C) Yellow  D) Orange  E) Pink

Solution: Explanation:   The colour of leaf is 'green' and as given 'orange' means 'green'.   so, the colour of leaf is 'red'.   Answer: Orange
Answer: D
A committee of 4 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?  Choose the correct option:
A) 1/28
B) 12/14
C) 1/14
D) 4/28
E) 3/14

Solution: 3/8*4/7*1/6*4! = 3/14. We are multiplying by 4! because we can choose secretary,economist, and accountant is several way:   Answer: 12/14.
Answer: B
How many positive integers less than 500 can be formed using the numbers 1, 2, 3 and 5 for the digits?	Choose the correct choice from the following answers
A) 48	B) 52	C) 66	D) 68	E) 84

Solution: Notice that we can find the number of 2 and 3 digit numbers by just assuming the first digit can also be zero:   0 1 1   1 2 2   2 3 3   3 5 5   Number of possibilities = 4*4*4= 
4*4*4 = 64
64.   Then, just add up the number of 1 digits numbers= 4, so total is  64+4= 
 64+4 = 68
68.   Answer: 68
Answer: D
In a mixed college 160 students are there in one class. Out of this 160 students 3/4 students are girls. How many boys are there ?  Options:
A) 40  B) 60  C) 80  D) 120  E) 140

Solution: Total Number of Students :160   Total Girls :   160*3/4= 
  160*3/4 = 120
120   Total Boys :  160-120= 
 160-120 = 40
40   40nswer is 40
Answer: A
What is the sum of odd integers from 35 to 95, inclusive?
Choose the correct choice:
A) 2,015  B) 1,500  C) 1,240  D) 1,120  E) 1,100

Solution: Number of odd integers = (95-35)/2 + 1   = 60/2 + 1= 
60/2 + 1 = 31
31   Sum of odd integers= (35+95)/2 * 31= 
(35+95)/2 * 31 = 2_015
2015   2,015nswer 2,015
Answer: A
A boat can move upstream at 25 kmph and downstream at 37 kmph, then the speed of the current is?
Choose the correct option:
A) 5
B) 6
C) 7
D) 54
E) 3

Solution: US = 25   DS = 37   M = (37 - 25)/2= 
(37 - 25)/2 = 6
6.Answer:6
Answer: B
A leak in the bottom of a tank can empty the tank in 6 hrs. An pipe fills water at the rate of 4 ltrs/ minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. The capacity of the tank is?	Choices:
A) 2345  B) 3456  C) 4567  D) 4890  E) 5760

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4= 
 24 * 60 * 4 = 5_760
5760   5760
Answer: E
The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 7000, brokerage being 1/4%, is:  Choose one:
A) 96.97  B) 114  C) 114.75  D) 124  E) 124.75

Solution: Face Value = Rs. 7000.   Dividend = 10.5%.   Annual Income = Rs. 756.   Brokerage per Rs. 100 = Rs. 0.25.   Dividend is always paid on the face value of a share.   Face Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income.   = 7000 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 100.   = Market Value of Rs. 100 stock + Brokerage per Rs. 100 = Rs. 97.22.   = Market Value of Rs. 100 stock = Rs. 97.22 - Re. 0.25.   = Market Value of Rs. 100 stock = Rs. 96.97   answer : 96.97
Answer: A
Peter got a weekly raise of $680. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.  Choose the correct choice from the following choices:
A) 860
B) 806
C) 608
D) 680
E) 850

Solution: Let the 1st paycheck be x (integer).   Peter got a weekly raise of $ 680.   So after completing the 1st week she will get $ (x+680).   Similarly after completing the 2nd week he will get $ (x + 680) + $ 680.   = $ (x + 680 + 680)   = $ (x + 1360)   So in this way end of every week her salary will increase by (680)$ 680.
Answer: D
What is the normal price of an article sold at $126 after two successive discounts of 10% and 20%?  Choose the correct choice from the following answers:	A) $155	B) $165	C) $175	D) $185	E) $195

Solution: 0.8*0.9*cost price = $126   cost price = $175   The answer is $175.
Answer: C
If x and y are integers such that x > y, which of the following CANNOT be a positive integer?
I. y(y – x)
II. y(x – y)
III. (x - y)/(y - x)  Choose the correct answer:	A) I only	B) II only	C) III only	D) I and II only	E) II and III only

Solution: lets see the three equations..   I. y(y – x)   if both x and y are negative number, y will be -ive and y-x, as numeric value of y will be more than x,will also be -ive... so out   II. y(x – y)   if both x and y are +ive number, y will be +ive and x-y will also be positive... so out   III. (x - y)/(y - x)   either one of the numerator and denominator will be -ive and the other +ive..   so will always be -ive   we need not see any further after checking for II as all choices except C are eliminated..   ANSWER:III only
Answer: C
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?  Choose the correct choice from the following answers:  A) Rs.7500  B) Rs.7509  C) Rs.7508  D) Rs.7597  E) Rs.7523

Solution: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3   B's share = 25000 * 3/10 = Rs.7500.   Rs.7500nswer: Rs.7500
Answer: A
A grocer has a sales of Euro 220, Euro 320, Euro 480, Euro 120and Euro 720 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 920?
Choose the correct choice
A) uro 4691	B) uro 4591	C) uro 3591	D) uro 7791	E) uro 3660

Solution: E   Euro 1860   T otal sale for 5 months = Euro (220 + 320 + 480 + 120 + 720)= 
(220 + 320 + 480 + 120 + 720) = 1_860
Euro 1860.   Required sale= Euro [ (920 x 6) - 1860]   = Euro (5520 - 1860)= 
(5520 - 1860) = 3_660
Euro 3660.   Answer is uro 3660
Answer: E
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize? Choices.
A) 12
B) 14
C) 17
D) 24
E) 27

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways   4: Or 4p = — 4:- 4X3X2X1- 24 ways   24
Answer: D
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal? Select the correct option
A) 2277	B) 2667	C) 3600	D) 2766	E) 1811

Solution: P = 144(100/5)2 => P = 3600   Answer: 3600
Answer: C
The mean of 50 observations was 39. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is  Choose the correct answer:
A) 35.2 B) 36.1 C) 36.5 D) 39.1 E) None

Solution: Sol.   Therefore correct sum   = ( 39 × 50 + 48 – 23)   = 1975.   Therefore correct mean   = 1975 / 50   = 39.5.   Answer None
Answer: E
Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?  Choose the correct choice:
A) 12	B) 36	C) 72	D) 240	E) 720

Solution: in order not to have two boys or two girls next to one another, we must make an alternate sitting arrangement. (B-G-B-G-B-G) or (G-B-G-B-G-B).   Total ways = 2721*3!*3!   =2*6*6= 
2*6*6 = 72
72   Ans - 72
Answer: C
Mohit sold an article for Rs. 18000. Had he offered a discount of 19% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?  Choose the correct choice from the following options.
A) 13500
B) 27767
C) 16688
D) 26678
E) 19987

Solution: Let the CP be Rs. x.   Had he offered 19% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 19/100(18000) = Rs. 14580   => 1.08x = 14580   => x = 13500   \13500nswer: 13500
Answer: A
A reduction of 25% in the price of apples would enable a man to obtain 36 more for Rs.25, what is reduced price per dozen?	Select the correct option
A) 2 B) 3 C) 6 D) 7 E) 10

Solution: 2   25*(25/100) = 6 --- 36   ? --- 12 => Rs.2
Answer: A
The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 4.4 miles in the sixth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval? Choose the correct option:  A) 35  B) 40  C) 48  D) 51  E) 54

Solution: (4.4 miles / 8 minutes)*60 minutes/hour = 33 mph   Let x be the original speed.   x - 5(3) = 33   x = 48 mph   The answer is 48.
Answer: C
Find the value of x in 3(x-8)=24 Answers:  A) 8  B) 12  C) 16  D) 20  E) 24

Solution: 3(x-8)=24   Dividing both sides with 3 gives x-8=8   Adding both sides with 8 gives x=16   Answer: 16
Answer: C
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 65 and the turban. Find the price of the turban.	Choose the most appropriate option:
A) 27
B) 36
C) 29
D) 10
E) 11

Solution: Let the price of turban be x.   Thus, for one year the salary = (90 + x)   For 9 months he should earn 3434 (90 + x).   Now he gets one turban and Rs. 65.   Thus, 3434 (90 + x) = 65 + x or 270 + 3x = 260 + 4x or x = 10   Answer:10
Answer: D
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are :	Choose one:  A) 4, 8, 12  B) 5, 10, 15  C) 10, 20, 30  D) 12, 24, 36  E) None of these

Solution: Explanation:   Let the required numbers be x, 2x and 3x.   Then, their H.C.F = x. So, x = 12.   The numbers are 12, 24 and 36.   ANSWER IS 12, 24, 36
Answer: D
The cost per unit of electricity during a 4 year period is as follows: Year 1, $3 per unit; Year 2, $4 per unit; Year 3, $5 per unit; Year 4, $6 per unit. If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Choose the correct answer:
A) $4.31
B) $4.51
C) $4.21
D) $5.21
E) $5.61

Solution: Let money spent each year = $60   Units bought first year = 20   Units bought second year = 15   Units bought third year = 12   Units bought fourth year = 10   Total number of units = 57   Total money spent = 60*4= 
60*4 = 240
240   Average= 240/57 = 4.21   Answer : $4.21
Answer: C
If P is a prime number greater than 3, find the remainder when P^2 + 14 is divided by 12. Select.
A) 6  B) 1  C) 3  D) 8  E) 7

Solution: Every prime number greater than 3 can be written 6N+1 or 6N-1.   If P = 6N+1, then P^2 + 14 = 36N^2 + 12N + 1 + 14 = 36N^2 + 12N + 12 + 3   If P = 6N-1, then P^2 + 14 = 36N^2 - 12N + 1 + 14 = 36N^2 - 12N + 12 + 3   When divided by 12, it must leave a remainder of 3.   The answer is 3.
Answer: C
Find the odd man out. 2,4,7,10,16  Choose the correct option:
A) 11 B) 9 C) 10 D) 6 E) 14

Solution: Explanation :   2+2= 
2+2 = 4
4   4+3= 
4+3 = 7
7   7+4= 
7+4 = 11
11   11+5= 
11+5 = 16
16   Hence, it is clear that 11 should have come instead of 10   11nswer : Option 11
Answer: A