MU-NLPC/Calc-aqua_rat huggingface dataset:
The price of the jewel, passing through three hands, rises on the whole by 74%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.  Choose one.
A) 20
B) 10
C) 16
D) 25
E) 30

Solution: Let the original price of the jewel be $ p and let the profit earned by the third seller be x% Then, (100+x)% of 125% of 120% of P =174% Of P ((100+X)/100*125/100*120/100*P)=(174/100*P)   ==> (100+X)=(174*100*100)/(125*120)= 
(174*100*100)/(125*120) = 116
116=>X=16%   Answer 16
Answer: C
Write 230,000,000,000 in scientific notation. Choose the correct choice.
A) 2.3 x 10*11*eleventh
B) 2.03 x 10*11*eleventh
C) 23 x 10*11*eleventh
D) 23.0 x 10*11*eleventh
E) 230 x 10*11*eleventh

Solution: a × 10 n , where a is a real number such that 1 ≤ |a| < 10 and n is an integer.   230,000,000,000 = 2.3 × 100,000,000,000 = 2.3 × 10 *11*   correct answer 2.3 x 10*11*eleventh)2.3 x 10*11*eleventh
Answer: A
A man bought 40 shares of Rs. 60 at 7 discount, the rate of dividend being 1212%The rate of interest obtained is Select the correct option
A) 13.64%  B) 15.5%  C) 14%  D) 14.15%  E) 14.95%

Solution: Explanation :   Face Value of a share = Rs.60   He bought each share at Rs.60 - Rs.7 = Rs.53   Number of shares = 40   14.15%ividend = 12 1/2%=25/2%   14.15%ividend per share = 60×25/2×100=Rs.7.5   Total dividend = (40 × 7.5)   ie, He got a dividend of (40 × 7.5) for an investment of Rs.(40 × 53)   Interest obtained = 40×7.5×100/40×53=14.15%   Answer : Option 14.15%
Answer: D
In a chocolate company, 30 men completed two-fifth of a piece of work in 28 days. How many more men should be employed to finish the rest of the work in 35 more days?	Select.
A) 32 B) 36 C) 6 D) 8 E) 7

Solution: Explanation :   Solution: Let the total number of men be x. work done = 2/5, remaining work = (1-2/5) = 3/5.   More work, more men (DP)   More days, less men (IP)   work 2/5 : 3/5   } : : 30 : x   days 35 : 28   .'. (2/5 * 35 * x) = 3/5 * 28 * 30   => x = 36.   Answer : 6
Answer: C
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Choose the correct choice from the following choices:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: EXPLANATION   Sum of decimal places = 7.   Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.   Answer 6
Answer: B
A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup?  Pick one
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: x is the buy price. x+80%x = 1,8x is the sale price = 45 so x, the buy price becomes 45/1,8=25   %100 mark up means x+100%x=2x so 50. 50-45=5   ANSW5R:5
Answer: E
In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Pick one.
A) 1160	B) 1100	C) 1080	D) 1210	E) None of these

Solution: Number of sweets each child got = 15% of 80 = 15/100 * 80= 
15/100 * 80 = 12
12.   Number of sweets 80 children got= 80 * 12= 
80 * 12 = 960
960.   Number of sweets each youngster got= 25% of 80 = 25/100 * 80= 
25/100 * 80 = 20
20.   Number of sweets 10 youngsters got= 10 * 20= 
10 * 20 = 200
200.   Total number of sweets= 960 + 200= 
960 + 200 = 1_160
1160.   1160NSWER:1160
Answer: A
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Yoe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Yoe?  Choose the correct choice from the following answers
A) 15	B) 60	C) 75	D) 90	E) 105

Solution: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.   Teena covers 55 miles in 60 mins.   Yoe covers 40 miles in 60 mins   So teena gains 15 miles every 60 mins   Teena need to cover 7.5 +15 miles.   Teena can cover 7.5 miles in 30 mins   Teena will cover 15 miles in 60 mins   So answer 30+60= 
30+60 = 90
90 mins.90
Answer: D
How many 2x2x2 cubes could fit in a box of 7x9x4?  Select the correct option: A) 31 B) 32 C) 30 D) 33 E) 29

Solution: The answer is A) 31. A 2x2x2 cube has an area of 8. A 7x9x4 box has an area of 252. If you divide 252 by 8, you get 31.5. Since that means you can only fit 31 entire cubes in the box, the answer is 31.
Answer: A
A and B’s salaries together amount to Rs. 4,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?  Choose the correct choice from the following choices
A) 2777	B) 1000	C) 2789	D) 2776	E) 2881

Solution: (5/100) A = (15/100) 1000   A = 31000   A   + 1000= 
  + 1000 = 1_000
1000   41000= 1000 => 1000 = 1000   Answer 1000
Answer: B
If population of certain city increases at the rate of 2%. If population in 1981 was 138915, then population in 1978 was?	Choose the correct option:  A) 12,0000  B) 130000  C) 261000  D) 130903  E) 12690

Solution: Explanation:   X * (102/100) * (102/100) * (102/100) = 138915   X = 138915/1.061208   X = 130902.70=130903   Answer: Option 130903
Answer: D
Which of the following fractions is greater than 8/10 and less than 9/10?
1. 8/10 2. 9/10 3. 1/2 4.8/9 5. 1/3 6. 19/10  Choose the correct choice:
A) 8/9
B) 8/10
C) 9/10
D) 1/2
E) 19/10

Solution: 8/10= 
8/10 = 4/5 = around 0.8
0.8, 9/10= 0.9, 1/2= 0.5, 8/9= 0.88, 1/3= 0.33, 19/10= 1.9.   Clearly, 0.88 lies between 0.80 and 0.90.   Therefore, 8/9 lies between 8/10 and 9/10.   8/9nswer is 8/9.
Answer: A
For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 6, 8 and 7. By what percent did she fall short of her goal?  Choose the most appropriate option.
A) 4%  B) 5%  C) 8%  D) 3.75%  E) 12%

Solution: Expected minimum rating = 8   Deviation from the expected minimum rating = (-1 + 0 + 0 - 1 + 1 + 1 - 2 - 2 + 0 - 1)/10 = -3/10 = -0.3   Current rating is 0.3 less than 8.   Percentage = (0.3/8)*100= 
(0.3/8)*100 = 3.75
3.75%   Answer: 3.75%
Answer: D
What is the length of a bridge (in meters), which a train 140 meters long and travelling at 45 km/h can cross in 30 seconds?
Choose the correct choice from the following options
A) 205  B) 220  C) 235  D) 250  E) 265

Solution: speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s   In 30 seconds, the train can travel  25/2 * 30= 
 25/2 * 30 = 375
375 meters   375= length of train + length of bridge   length of bridge = 375 - 140= 
375 - 140 = 235
235 meters   The answer is 235.
Answer: C
Gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles/hr for the remaining 40 miles of the trip if she made no stops during the trip what was Gwen's avg speed in miles/hr for the entire trip	Choices:
A) 35  B) 20  C) 45  D) 50  E) 55

Solution: Avg. speed = total distance / total time   Total distance = 80 miles   Total time = 40 / 15 + 40/30= 
40 / 15 + 40/30 = 4
4   Avg. speed= 20.   Answer - 20
Answer: B
Mary drove at an average speed of 40 mph for some time and then at an average speed of 60 mph for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 mph, for what fraction of the total time did she drive at 40 mph?
Select
A) 1/5  B) 1/3  C) 1/2  D) 2/3  E) 3/5

Solution: We don't need to get into calculations for solving this question. We can use the concept of weighted averages.   One thing for sure we know that if the average speed for the entire journey is 50 mph, means she drove at 40 mph and 60 mph for an equal duration of time.   10 10   40-----50----60   This shows that you can divide the entire journey into 2 equal parts. Thus, 1/2 parts she drove at 40 mph and 1/2 part she drove at 60 mph.   Answer: 1/2
Answer: C
If Rs. 782 is divided into three parts, proportional to
1/2:2/3:3/4 find the first part.	Select:	A) 190	B) 204	C) 220	D) 230	E) None of these

Solution: Explanation:   1/2:2/3:3/4=6:8:9First part =782∗6/23=204   Option 204
Answer: B
Find the average of first 4 multiples of 5?  Choices:
A) 10
B) 12.5
C) 22.5
D) 31.3
E) 40.8

Solution: average = (5+10+15+20)/4= 
(5+10+15+20)/4 = 25/2 = around 12.5
12.5   Answer is 12.5
Answer: B
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
Choose the correct choice from the following:	A) 1875	B) 2000	C) 2375	D) 2500	E) 3875

Solution: Number of combo with 4 as first digit + Number of combos with 4 as second digit = 1*4*5*5*5 + 3*5*5*5 = 2375   ANSWER:2375
Answer: C
How many different words beginning with O and ending with E can be formed with the letters of the word ORDINATE, so that the words are beginning with O and ending with E?
Choose the correct choice.
A) 8!  B) 6!  C) 7!  D) 7!/2!  E) None

Solution: Solution   6! ways, O fixed 1st and E fixed in last.   Answer 6!
Answer: B
(3192 + 6160) / 28
Choose the most appropriate option:
A) 380
B) 350
C) 334
D) 310
E) None of these

Solution: Explanation:   As per BODMAS rule, first we will solve the equation in bracket then we will go for division   = (9352)/28= 
(9352)/28 = 334
334   Option 334
Answer: C
Of the 250 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year? Choose the correct choice from the following options:  A) 20  B) 30  C) 50  D) 80  E) 100

Solution: Full time employee who have NOT worked for at least one year = a   Full time employee who have worked for at least one year = b   NON Full time employee who have worked for at least one year = c   NON Full time employee who have NOT worked for at least one year = d   a+b+c+d = 150   a+b = 80   i.e. c+d = 70   b+c = 100   i.e. a+d = 50   d = 20   i.e. c = 70-20= 
70-20 = 50
50   i.e. b= 100-50= 
100-50 = 50
50   i.e. a= 80-50= 
80-50 = 30
30   b= 100   Answer: Option 100
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 125 resolutions?
Choose the correct choice.
A) 794 m  B) 704 m  C) 454 m  D) 186 m  E) 176 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 125 resolutions.   = 125 * 2 * 22/7 * 22.4= 
125 * 2 * 22/7 * 22.4 = 17_600
17600 cm= 176 m   Answer: 176 m
Answer: E
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choose the correct choice from the following choices.
A) 287 km	B) 960 km	C) 187 km	D) 173 km	E) 266 km

Solution: 60(x + 1) = 64x   X = 15   60 * 16= 
60 * 16 = 960
960 km   Answer: 960 km
Answer: B
How many multiples of 5 are there between 5 to 75?	Choices: A) 9 B) 18 C) 17 D) 13 E) Cannot be determined

Solution: Explanation :   As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).   So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.   Answer : 13
Answer: D
What is the value of x in the equation below?
4 + √(1-3x) = 12  Pick one
A) 21
B) 12
C) -21
D) -12
E) 4

Solution: 4 + √(1-3x) = 12   (4-4) + √(1-3x) = 12 - 4 = √(1-3x) = 8   (√(1-3x))^2 = (8)^2 = 1-3x = 64   (1 -1) - 3X = 64 - 1 = -3x = 63   (-3x) / -3 = 63 / -3 = x = -21   -21orrect option: -21) -21
Answer: C
On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 20 percent. What was the total rent the motel actually charged for that night ?
Choices:
A) $600	B) $800	C) $1,000	D) $1,600	E) $2,400

Solution: Let total rent the motel charge for all rooms =x   If 10 rooms that were rented for 60 $ had instead been rented for 40 $,   then total difference in prices = 20 $ * 10 = 200 $   Total rent the motel charged would have been reduced by 20 %   .2x = 200   => x= 1000   Answer $1,000
Answer: C
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Choose the correct choice from the following choices:	A) 2.87	B) 2.88	C) 2.78	D) 2.29	E) 2.27

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer: 2.88
Answer: B
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?  Choose the correct option:
A) 4x - 9y
B) 9x + 4y
C) x + y + 4
D) x + y + 5
E) 4x + 6y

Solution: By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.   (4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;   (x + y + 4 ) = (5 + 1 + 4)= 
(5 + 1 + 4) = 10
10, which is not divisible by 11;   (9x + 4y)= (9 x 5 + 4 x 1) = 49, which is not divisible by 11;   (4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.   4x - 9ynswer is 4x - 9y
Answer: A
A train 880 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choose the most appropriate option.
A) 510
B) 540
C) 500
D) 420
E) 589

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (880 + x)/60 = 65/3   x = 420 m.   Answer: Option 420
Answer: D
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work? Choose the correct choice from the following: A) 7 days B) 8 days C) 5 days D) 9 days E) 3 days

Solution: 3/12 + (3 + x)/16 = 1   x = 9 days   Answer: 9 days
Answer: D
Find the next term
8,8,6,2,..? Choose one:
A) -2 B) -4 C) -6 D) -8 E) -9

Solution: 8 , 8, 6, 2, x   i guess each differ in d range of 2   8 - 8= 
8 - 8 = 0
0   8 - 6= 
8 - 6 = 2
2   6 - 2= 
6 - 2 = 4
4   2 - x should be "6"   2 - x= 6   x = -4   ANSWER:-4
Answer: B
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Select: A) 63: 45: 58 B) 63: 45: 55 C) 63: 45: 56 D) 63: 45: 50 E) 63: 45: 51

Solution: a: b = 7: 5   b: c = 9: 11   a: b: c = 63: 45: 55   Answer: 63: 45: 55
Answer: B
A boy has seven trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Choose one
A) 56 ways
B) 57 ways
C) 58 ways
D) 108 ways
E) 59 ways

Solution: The boy can select one trouser in seven ways.   The boy can select one shirt in 8 ways.   The number of ways in which he can select one trouser and one shirt is   7 * 8= 
  7 * 8 = 56
56 ways.   56 waysnswer:56 ways
Answer: A
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 10 more than the number who did not, and if receipts for registration and lunch totaled $61720, how many people paid just for registration at the meeting? Select:
A) 700	B) 800	C) 1,300	D) 500	E) 1,800

Solution: Hope this might be useful to you.   Let the number of people who have opted only to register = x   Now since the registration cost is 50$ per person, the total amount sums to = 50x $   As per the information given in the question, the number of registrants who paid for lunch was 10 more than the number who did not. That means, total number of people who registered and paid for lunch = 10 + x.   For the people who registered for lunch the cost is 50 $ (for the event registration) + 22 $ (for lunch) = 72 $.   Total amount in this case sums to = 72(10 + x) = 720 + 72x   Now, total amount received was 61,720.   Thus, from the above data,   50x + 720 + 72x = 61720   122x = 61720 - 720   122x = 61000   x = 500.   Hence the correct Ans is 500
Answer: D
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 68 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used? Pick
A) 16
B) 28
C) 32
D) 44
E) 48

Solution: lets say x ounces of P is mixed with Q.   => 68-x ounces of Q is present in the mixture (as the total = 68 ounces)   given total almond weight = 15 ounces   (20x/100)+(25/100)(68-x) = 15   => x = 40   => 68-40= 
68-40 = 28
28 ounces of Q is present in the mixture.   Answer is 28.
Answer: B
Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?	Choose the correct answer.
A) 6
B) 12
C) 18
D) 24
E) 36

Solution: Total d animals, suppose each has price of x - total price = dx   now 12 were sold at profit of 10%, making equation - - 12*1.1x   now d-12 were sold at loss of 20%, making eqn --- (d-12)*0.8x   Now he made no profit or loss so,   dx = 12*1.1x + (d-12)*0.8x   solving for d, we get d=18   Ans 18
Answer: C
Jill, who lives in City C, plans to visit 2 different cities L, and S. She plans to visit each city exactly once and return to City C after the 2 visits. She can visit the cities in any order. In how many different orders can she visit the 2 cities?	Choose the most appropriate option:	A) 3	B) 2	C) 8	D) 9	E) 12

Solution: 2! = 2=2
Answer: B
The overall ages of Kumar, Hathim and Rahul is 93 years. 1 decade ago, the ratio of their ages was 2 : 3 : 4. What is the current age of Rahul?  Choose the correct choice.
A) 38
B) 37
C) 34
D) 35
E) 33

Solution: 38   38   If the ages of Kumar, Hathim and Rahul 1 decade ago be 238, 338 and 438 years correspondingly   Then, (238 + 10) + (338 + 10) + (438 + 10) = 93   938 = 93-30   938 = 63   38 = 7   Rahul’s current age = (438 + 10)   = 38 years.
Answer: A
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?  Choose the correct choice from the following:
A) 30 min
B) 35 min
C) 37 min
D) 40 min
E) 50 min

Solution: Sol. 40 ministance between Ramgarh and 40 minevgarh =(50*44)/60=110/3   Average speed of the bus is increased by 5 km/hr then the   speed of the bus = 55 km/hr   Required time = 110/3*60/55= 
110/3*60/55 = 40
40 min   40 min
Answer: D
There are 12 pieces of radioactive metal V that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?	Select
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: First of all if you are down to just 3 pieces and you know that if the offending piece is less or more active, then it takes exactly 1 measurement to find out the offending piece. So you know you have to reduce the problem to three.   Now when you are down to either A or B after measurement 1, you need the next measurement to (a) reduce the problem set to 3 and (b) to know whether anser is more or less. Now you cannot compare a group of 4 to 4, as in the best case it will only reduce the problem to 4 elements which is not good enough.   If you have to choose a set of 3 to compare, you cannot pick any 3 on the same side from the same set (A or B) because if you do this, a quick check will show you that in every choice there is a case where you can only get down to 4 elements. Eg. If you weighed {1,2,3} v/s {5,9,10} and they were equal you're problem would only reduce to {4,6,7,8}   The easiest way to solve this then is to compare 3 to 3, and make sure each side has elements from both AB such that whatever the measurement outcome in the worst case the problem reduces to 3 elements only. Which is why the sets {1,5,9} and {2,6,7} OR {A,B,C}{A,B,B}. The extra element from C is just taken to make the problem symmetric so to say, we have 8 elements and we make it 9, to compose 3 sets of 3 each.=3
Answer: B
On dividing a number by 48, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ? Choose the correct choice from the following:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Number=48x+29 (∵ since the number gives 29 as remainder on dividing by 48)   =(6×8×x)+(3×8)+5   Hence, if the number is divided by 8, we will get 5 as remainder.   ANSWER:5
Answer: D
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ? Choose the correct choice from the following choices:
A) 6
B) 8
C) 12
D) 14
E) 16

Solution: Let the number be xy.   Given xy – yx = 36.   This means the number is greater is than the number got on reversing the digits.   This shows that the ten’s digit x > unit digit y.   Also given ratio between digits is 1 : 2 => x = 2y   (10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.   Hence, (x + y) – (x – y) = 3y – y = 2y = 8   8
Answer: B
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is? Choose the correct choice from the following options:
A) 100
B) 728
C) 278
D) 168
E) 268

Solution: 4/3 π * 10 * 10 * 10   = 8 * 4/3 πr3   r = 5   4π * 5 * 5   = 100π   100nswer: 1004  * 5 * 5= 
4  * 5 * 5 = 100
100π   100nswer: 100
Answer: A
A person crosses a 1800 m long street in 12 minutes. What is his speed in km per hour?
Choose the correct choice from the following choices
A) 4.1	B) 4.5	C) 4.8	D) 5.4	E) 9

Solution: Speed = 1800/(12x60) m/sec   = 2.5 m/sec.   Converting m/sec to km/hr =2.5 x(18/5) km/hr   = 9 km/hr.   ANSW9R :9
Answer: E
what is the value of (5)^-5?
Pick one
A) 1/3125
B) 1/3000
C) 1/658
D) 1/500
E) 1/75

Solution: 5^-5= 1/(5)^5= 1/3125   1/3125NSWER:1/3125
Answer: A
How many four letter words are formed using the letters of the word POLICE?
Choose the correct option:  A) 280  B) 321  C) 330  D) 360  E) 370

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is 6P4   = 6 * 5 * 4 * 3= 
6 * 5 * 4 * 3 = 360
360.   Answer: 360
Answer: D
We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $390. How many math books did we buy?
Choose the correct choice:	A) 10	B) 20	C) 30	D) 40	E) 50

Solution: M + H = 80   H = 80 - M   4M + 5H = 390   4M + 5*(80 - M) = 390   M = 10   The answer is 10.
Answer: A
A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
Choices.
A) 11
B) 12
C) 44
D) 66
E) 81

Solution: :   Let the interest for one year be x.   As amount = Principal + Interest, we have   P + 4x = 20720 --- (1) ; P + 6x = 24080 --- (2)   Solving the equations (1) and (2), we can get   P = Rs. 14000 and x = Rs. 1680   Interest for one year on Rs. 14000 is Rs. 1680   So, R = (100 * 1680)/(14000 * 1)= 
(100 * 1680)/(14000 * 1) = 12
12% p.a.Answer: 12
Answer: B