MU-NLPC/Calc-aqua_rat huggingface dataset:
How many three digits no. can be formed also including the condition that the no. can have at least two same digits ?	Choose the correct choice from the following:
A) 458
B) 249
C) 251
D) 252
E) 254

Solution: total 3 digit no. is-9*10*10=900   and total no. of non repeated digits are=9*9*8= 
9*9*8 = 648
648   So the total no. of repeated digits(2 & 3 repeated)=900-648= 
900-648 = 252
252   ANSWER:252
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Select the correct option:
A) 738 km	B) 444 km	C) 849 km	D) 935 km	E) 949 km

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   D = 37 * 12= 
37 * 12 = 444
444   Answer:444 km
Answer: B
Calculate the fourth proportional to 6.1, 7.2 and 9.3?	Choose the correct choice from the following
A) 2.98 B) 11.98 C) 19.98 D) 10.98 E) 1.98

Solution: Explanation:   Formula = Fourth propotional = (b × c)/a   A = 6.1 , B = 7.2 and C = 9.3   (7.2 × 9.3)/6.1 = 10.98   Answer: Option 10.98
Answer: D
Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively Choose the correct choice from the following answers:  A) 19  B) 17  C) 13  D) 9  E) 8

Solution: Explanation:   Answer will be HCF of (400-9, 435-10, 541-14)   HCF of (391, 425, 527) = 17   Option 17
Answer: B
Find the odd man out
864, 420, 200, 86, 40, 16, 6	Choose one
A) 420	B) 200	C) 16	D) 40	E) 86

Solution: 6x2+4=16   16x2+8=40   40x2+12=92   92x2+16=200.. and so on. 86   ANSW86R:86
Answer: E
A man can row downstream at the rate of 12 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?	Select: A) 9,6 B) 6,3 C) 9,3 D) 6,6 E) None of these

Solution: Explanation:   Rate of still water = 1/2 (12 + 6) = 9 Km/hr   Rate of current = 1/2 (12-6) = 3 Km/hr   Answer: Option 9,3
Answer: C
A shopkeeper sold an book offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered? Options
A) 140
B) 120
C) 130
D) 110
E) 150

Solution: C   130%   Let C.P. be $100.   Then, S.P. = $123.50   Let marked price be $x. Then, 95/100 x = 123.50   x = 12350/95= 
12350/95 = 130
$130   Now, S.P.= $130, C.P. = $100   Profit % = 30%.
Answer: C
Jonathan’s grandparents lend $50,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?  Pick one:
A) 50,000∗0.1^5	B) 50,000∗0.5	C) 50,000∗1^.5	D) 50,000∗1.5	E) (50,000∗0.1)^5

Solution: if you are like me and have used S.I = P x R x T formula in school, while the question is asking for Amount in 5 years. so (50,000∗1.5) 50,000∗ 1.5   Ans : 50,000∗1.5
Answer: D
A girl sold her pen for Rs.39 and got a percentage of profit numerically equal to the cost price. The cost price of that pen is:  Select:
A) 130  B) 90  C) 60  D) 30  E) 20

Solution: Let Cost Price was Rs. X then % profit must be X%.   Selling Price = Rs. 39   Cost price + profit = 39   X + X% of X = 39   X + (X^2)/100 = 39   100 X + X^2 = 3900   X^2 + 100X - 3900 = 0   X^2 +130X - 30X - 3900 = 0   X = -130, 30   Cost price cannot be negative so Cost Price was Rs. 30.   ANSWER : OPTION 30
Answer: D
5358 x 53 = ?  Choose the correct option.
A) 272258  B) 272358  C) 283974  D) 274258  E) 274358

Solution: 5358 x 51	= 5358 x (50 + 3)   = 5358 x 50 + 5358 x 3   = 267900 + 16074= 
267900 + 16074 = 283_974
283974.   283974)
Answer: C
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $360 per week. How much does she earn in dollars per hour?
Answers:	A) 11	B) 10	C) 9	D) 8	E) 7

Solution: Let Sheila earn x dollars per hour   So, on Monday, Wednesday and Friday , she earns 8x each   And, on Tuesday and Thursday, she earns 6x each   In total , over the week she should earn, 3(8x) + 2(6x) = 36x   She earns $360 per week   36x =360   x =10   Correct Option : 10
Answer: B
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be
worth Rs. 64.50 per Kg? Answers:	A) 1 : 2	B) 2 : 1	C) 3 : 1	D) 1 : 3	E) None of these

Solution: Explanation :   By the rule of alligation, we have   3 : 1ost of 1 kg of 1st kind tea 3 : 1ost of 1 kg tea of 2nd kind tea   62 72   Mean Price   64.5   72-64.5= 
72-64.5 = 7.5
7.5 64.5-62=2.5   Required Ratio = 7.5 : 2.5 = 3 : 1   Answer : Option 3 : 1
Answer: C
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 60$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? Choose the correct option
A) 50
B) 75
C) 92
D) 136
E) 184

Solution: w1/w2 = (A2 - Aavg)/(Aavg - A1) = (60 - 40)/(40 - 36) = 20/4= 
20/4 = 5
5/1= Number of MicroTron stocks/Number of Dynaco stocks   So for every 5 MicroTron stock, she sold 1 Dynaco stock.   So out of 300 total stocks, (1/5)th i.e. 300/6 = 50 must be Dynaco stock.   50nswer (50)
Answer: A
A box contains four copper coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.  Choose the correct choice from the following answers.
A) 3/4	B) 1/5	C) 2/5	D) 3/5	E) 4/5

Solution: There are four ways (2 heads in one two-headed coin and 2 heads in the other two-headed coin)   How many ways can you get heads from this entire set of coins? There are five ways (four as identified above and one from the normal coin)   Therefore probability = 4/5   Option 4/5
Answer: E
A boy wants to go abroad by boat and return by flight. He has a choice of 6 different boat to go and 4 flight to return. In how many ways, can the boy perform his journey?  Choose the correct choice from the following.
A) 20
B) 40
C) 45
D) 60
E) 24

Solution: Ans.(E)   Sol. Number of choices to go by ship = 6 Number of choices to return by airline = 4 From, fundamental principle, total number of ways of performing the journey = 6 x 4 = 24 ways
Answer: E
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 13 times as heavy as water? Choices.
A) 1:2
B) 2:3
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 * 13W   19+9x = 13(x+1)   x = 3/2   Ratio of gold with copper = 1:3/2 = 2:3   Answer is 2:3
Answer: B
A certain debt will be paid in 40 installments from January 1 to December 31 of a certain year. Each of the first 20 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 20 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year? Pick one.
A) 442.5  B) 450  C) 465  D) 468  E) 475

Solution: Total number of installments = 40   Payment per installment for the first 20 installments = 410   Payment per installment for the remaining 20 installments = 410+65= 
410+65 = 475
475   442.5verage= (20*410 + 20*475)/40= 
(20*410 + 20*475)/40 = 885/2 = around 442.5
442.50   442.5nswer 442.5
Answer: A
Paul sells encyclopedias door-to-door. He earns $80 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?
Choose the most appropriate option
A) 13,200 B) 14,800 C) 16,400 D) 15,800 E) 19,600

Solution: His pay check was $1320.   Out of this, $80 was his fixed salary so the total commission he earned was $1320 - $80 = $1240   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $240, he must have had sales of another 240*(100/5)  1320 -  80= 
 1320 -  80 = 1_240
$1240   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $240, he must have had sales of another   240*(100/5)= 
  240*(100/5) = 4_800
4800   So his total sales must have been $10,000 + $4800= $14,800   14,800
Answer: B
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?	Pick one:
A) 2762
B) 2877
C) 2882
D) 8925
E) 2887

Solution: Principal = (100 * 4016.25) / (9 * 5)   = Rs.8925.   Answer:8925
Answer: D
Two right circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.	Select the correct option:
A) √2:6
B) √2:1
C) √2:1
D) √2:2
E) √2:4

Solution: Let their heights be h and 2h and radii be r and R respectively then.   πr2h=πR2(2h)=>r2R2=2hh=21=>rR=2–√1=>r:R=√2:1   Answer:√2:1
Answer: C
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?	Choose the correct answer:
A) 11.9
B) 11.4
C) 11.2
D) 11.5
E) 11.1

Solution: 1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   63 + 68.4= 
63 + 68.4 = 131.4
131.4 – 119.9= 11.5   6th number = 11.5   Answer:11.5
Answer: D
If the price of gold increases by 40%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?	Choose the correct choice from the following answers
A) 331/8%	B) 26.67%	C) 28.5%	D) 332/3%	E) 131/3%

Solution: 100   140   ------   140-------40   100-------? => 28.5%   Answer:28.5%
Answer: C
In a school where there are more than 100 students when they are grouped into 12 and 16, always 6 students remain ungrouped. What would be the minimum number of new students to be registered to this school such that when they are grouped into 20 then none of the stundents remains ungrouped ?
Choices:  A) 6  B) 8  C) 9  D) 10  E) 12

Solution: S=12a+6=16b+6   6a = 8b --> for S>100 min(a,b) = (12,9)   then number of stundent in school --> 12*12 +6 = 150   20k  --  12*12 +6= 
 --  12*12 +6 = 150
150   20k= 150 + x so that none will be ungrouped --> min( k) = 8 then   20*8 =150 + x   x = 10 new students to be registered   ANSWER: 10
Answer: D
A, B and C started a shop by investing Rs. 5,000, Rs. 15,000 and Rs. 30,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 3000, then the total profit was : Choose one
A) 30,000  B) 5,000  C) 80,000  D) 120,000  E) None

Solution: Sol.   A : B : C = 5000 : 15000 : 30000 = 1: 3 : 6. so, Câ€™s share : Total Profit = 6 : 10   Let the total profit be Rs. x. Then, 6/10 = 3000/x or x   = 3000 * 10 /6= 
3000 * 10 /6 = 5_000
5000.   Answer 5,000
Answer: B
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/6 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
Choose the correct choice from the following answers:
A) 0  B) 1/12  C) 2/15  D) 1/10  E) 2/10

Solution: Suppose the water in each jug is L liters   CX x (1/6) = L   CX = 6L liters   CX is capacity of X   CY x (2/3) = L   CY = 3L/2 liters   CY is capacity of Y   Now, Y is 3L/2 - L empty = L/2 empty   So, we can put only L/2 water in jug Y from Jug X   Jug X's remaining water = L - L/2 = L/2   Fraction of X which contains water = water / CX   = (L/2)/ 6L   = 1/12   Answer will be 1/12
Answer: B
In a apartment, 30% of the people speak English, 20% speak Hindi and 11% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? Choose the correct choice from the following choices.
A) 1/30  B) 12/13  C) 16/41  D) 12/91  E) 13/71

Solution: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 11 / 100 =   P (E or H) = P (E U H)   = P (E) + P (H) - P (E âˆ© H)   = (30 / 100) + (20/100 - (11 / 100) = 39/100 = 16/41   16/41
Answer: C
A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/3 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Pick one.
A) 5/6 B) 1/5 C) 1/6 D) 1/9 E) 1/24

Solution: Let x be the number of upgraded sensors on the satellite.   The number of non-upgraded sensors per unit is x/3.   The number of non-upgraded sensors on the whole satellite is 24(x/3) = 8x.   The fraction of sensors which have been upgraded is x / (x+8x) = x/9x = 1/9   The answer is 1/9.
Answer: D
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 44 kmph respectively. In how much time will they cross each other, if they are running in the same direction? Choose one:
A) 140 sec	B) 132 sec	C) 192 sec	D) 252 sec	E) None

Solution: Solution   Relative Speed	= (44 - 40 )= 
(44 - 40 ) = 4
4 kmph=(4 x 5 / 18)m/sec   = (20 / 18 ) m/sec   Time taken	= (350 x 18 / 20) sec   = 140 sec.   140 secnswer 140 sec
Answer: A
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?  Choose the correct choice from the following options.
A) Rs.330
B) Rs.430
C) Rs.550
D) Rs.600
E) Rs.620

Solution: Find Selling Price to gain 10 %.   Now, we are asked to find selling price to gain 10% profit.   Hint:   Selling Price = (100 + Gain%) × C.P.   100   Selling Price = (100 + 10) × 500   100   Selling Price = (110) × 500   100   Therefore, selling Price = Rs.550   Rs.550
Answer: C
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choose the correct choice from the following
A) 9  B) 8  C) 7  D) 6  E) 4

Solution: 96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8   Answer: 8
Answer: B
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Options:
A) 96 B) 106 C) 122 D) 116 E) 122

Solution: Average = total runs / no.of innings = 32   So, total = Average x no.of innings = 32 * 20= 
32 * 20 = 640
640   Now increase in avg= 4 runs. So, new avg = 32+4= 
32+4 = 36
36 runs   Total runs= new avg x new no. of innings = 36 * 21= 
36 * 21 = 756
756   Runs made in the 11th inning= 756-640= 
756-640 = 116
116   ANSWER:116
Answer: D
What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 20 ?	Choose the correct choice from the following options:
A) -1
B) 6
C) 7
D) 8
E) 14

Solution: Denote |x - 4| as y: y^2 + y = 20 --> y = -5 or y = 4. Discard the first solution since y = |x - 4|, so it's an absolute value and thus cannot be negative.   y = |x - 4| = 4 --> x = 8 or x = 0. The sum = 8.   Answer: 8.
Answer: D
If f(x) = ax^2 – 6x + ax + 1, then f(b) – f(-b) will equal: Choose the most appropriate option.
A) 0
B) -12b+2ab
C) 2ab^4 – 8b^2 – 6
D) -2ab^4 + 8b^2 + 6
E) 2ab^4 – 8b^2 + 2ab – 6

Solution: f(x)=ax^2 – 6x + ax + 1   f(b) = ab^2 – 6b + ab + 1   f(-b) = ab^2 + 6b - ab + 1   f(b) - f(-b) = ab^2 – 6b + ab + 1 - ab^2 - 6b + ab - 1   =-12b+2ab   Answer -12b+2ab
Answer: B
Jim goes 6.4 mph on his bike. He needs to go to the store to get bread. The store is 2 miles away if he leabes now at 2 pm what time will he return if it takes him 13 minutes in the store?  Choose the correct option
A) 2 hr 4 m B) 1 h 15 m C) 1 hr 37 m D) 1 hr 24 m E) 2 hr 45 m

Solution: 31 minutes each way (6.4/2) +31 minutes + 13 min in store =1 hr 15 m   Correct answer 1 h 15 m
Answer: B
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?  Pick one.
A) 9.2 m  B) 9.9 m  C) 3.2 m  D) 9.8 m  E) 7.2 m

Solution: Let AB be the wall and BC be the ladder.   Then, ACB = 60º and AC = 4.6 m.   AC	= cos 60º =	1   BC	2   BC	= 2 x AC   = (2 x 4.6) m   = 9.2 m.   9.2 mnswer:9.2 m
Answer: A
A vendor sold two things at same cost of 14 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
Pick one
A) 0.60 loss B) 0.70 loss C) 0.80 loss D) 0.50 loss E) 0.40 loss

Solution: CP when profit of 25% = 11.2   CP when loss of 20% = 17.5   Total CP = 28.7   Total SP = 28.00   Total loss = 0.70   ANSWER:0.70 loss
Answer: B
What is the sum of all possible solutions to |x - 6|^2 + |x - 6| = 20 ?  Choose the most appropriate option:
A) -1
B) 6
C) 7
D) 12
E) 14

Solution: Denote |x - 6| as y: y^2 + y = 20 --> y = -5 or y = 4. Discard the first solution since y = |x - 6|, so it's an absolute value and thus cannot be negative.   y = |x - 6| = 4 --> x = 10 or x = -2. The sum = 12.   Answer: 12.
Answer: D
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Pick:
A) 48pi/x B) 75x C) 40x D) 24x E) x/75

Solution: It's C.   Let's try the explanation. We have two wheels. One with 28pi and the other one with 42pi. They have the same speed. In the smaller wheel it's 28pi*x, which must be equal to the speed of the bigger one (42pi*a number of revolutions).They are asking that number of revolutions (but in minutes, which makes the question even harder).   Anyway, we have 28pi*x=42pi*a.   (28pi*x)/(42pi). As I said, that's in seconds. So, to convert it to minutes we multiply by 60 and we get the result, 40x.   Ans : 40x
Answer: C
There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?  Pick
A) 340 km  B) 360 km  C) 400 km  D) 420 km  E) 450 km

Solution: Sol. Speed of bus = 480/8= 
480/8 = 60
60km/ h   Speed of train= (60*4)/3= 
(60*4)/3 = 80
80 km / h   Speed of train : Speed of car= 16 : 15   Speed of car =80/16 * 15= 
80/16 * 15 = 75
75 km/ h   Distance covered by car in 6 hr= 75 × 6 = 450 km   450 km
Answer: E
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 160 sandwiches were made, how many bologna sandwiches
were made?
Pick one:  A) 15  B) 30  C) 38  D) 56  E) 48

Solution: For deciding such task we should calculate all parts 5 + 7 + 8= 
5 + 7 + 8 = 20
20 parts   and we should calculate how many sandwiches holds 1 part:   160 / 20= 
160 / 20 = 8
8 sandwiches in one part   For bologna we have 7 parts so:    7 * 8= 
 7 * 8 = 56
56   Answer is 56
Answer: D
If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 3?
Choose the correct option:
A) 5/6	B) 7/36	C) 5/36	D) 2/36	E) 12/36

Solution: The sum of numbers appeared is 3.   Therefore, the required probability = n(E)/n(S) = 2/36.   ANSWER:2/36
Answer: D
if A and B run on a circular path in opposite directions of constant speeds with different velocities from P and Q. First time they meet 800 mts away from P and second time they meet 700 mts away from P, what is the lenght of the circular path.
Choose the correct choice from the following answers
A) 2300 Mtrs  B) 2400 Mtrs  C) 2500 Mtrs  D) 2600 Mtrs  E) 2700 Mtrs

Solution: 800 +800+700= 
800 +800+700 = 2_300
2300 Mtrs   2300 MtrsNSWER:2300 Mtrs
Answer: A
John was 43 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty? Choose the correct answer:
A) 24	B) 26	C) 42	D) 30	E) 32

Solution: Assume Betty's age on marriage = x years.   John's age on marriage = 43   John's age after 5 years = 48 years.   Betty's age after 5 years = x + 5   Given: x + 5 = 7/8 (48) = 42   Therefore Betty's current age = 42   Option 42
Answer: C
There are 10 points on a circle. A hexagon can be formed by linking 7 of the 10 points. How many such hexagons are possible?
Choose the correct choice from the following answers
A) 60	B) 120	C) 200	D) 210	E) 600

Solution: 7 points can be selected out of 10 points in 10C7 ways   =10 !/7!*3!=120   Ans 120
Answer: B
In a hostel, the number of students decreased by 5% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?  Choose the correct choice:
A) 19%
B) 12.3%
C) 25%
D) 40%
E) 9.4%

Solution: Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)   Originally,   C = FNP   When number of students decrease by 5%, and the price of food increases by 20%,   C = F(new) * (0.95N) * (1.2P)   => F(new) = F/(0.95*1.2)   => F(new) = 0.877F   Therefore the new cost of food must be 87.7% of the old cost, or the cost of food must decrease by 12.28% (option12.3%)
Answer: B
Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 33 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?	Choose one:  A) 70  B) 110  C) 100  D) 120  E) 150

Solution: let e10 =x no. d10 =y no. donald is having x+y notes mona carries 3x+y again x =2y or donald x+y =33   or 3y =33 y =11 ;x =22 , total notes they carry = 4x+2y = 88+22= 
88+22 = 110
110   110
Answer: B
If the quotient a/b positive, which of the following must be true? Options.
A) a > 0 B) b > 0 C) ab > 0 D) a-b > 0 E) a+b > 0

Solution: a/b>0 means aa and bb have the same sign, either both are negative or both are positive. Thus, their product will also be positive: ab>0.   Answer: ab > 0.
Answer: C
If you take 3 apples from a group of 5, how many do you have?	Choose the correct choice.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 3   Three - you just took them yourself!
Answer: C
Last year Department Store X had a sales total for December that was 3 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?  Choose the correct choice from the following options.
A) 1/4	B) 4/15	C) 3/14	D) 4/11	E) 4/5

Solution: Let avg for 11 mos. = 10   Therefore, Dec = 30   Year total = 11*10 + 30= 
11*10 + 30 = 140
140   Answer= 30/140 = 3/14 = 3/14
Answer: C
A and B can do a piece of work in 60 days and 60 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?	Choose the most appropriate option:
A) 30days
B) 35days
C) 40days
D) 45days
E) 50days

Solution: Explanation:   (30days+B)’s 10 days work = 10[1/60+1/60]=10[1+1/60]= 1/3   30days complete remaining work in   1/3*60= 
  1/3*60 = 20
20   Total work= 10+20= 
10+20 = 30
30days   30daysnswer: Option 30days
Answer: A
What is the are of an equilateral triangle of side 12 cm?	Choose the correct choice.
A) 64√5 B) 64√9 C) 64√4 D) 36√3 E) 64√2

Solution: Area of an equilateral triangle = √3/4 S2   If S = 12, Area of triangle = √3/4 * 12 * 12 = 36√3 cm2;   Answer: 36√3
Answer: D