MU-NLPC/Calc-aqua_rat huggingface dataset:
On average, the boys in the class have 56 pens and the girls have 32 pens. If the overall class average is 41 pens, what is the ratio of boys to girls in the class?	Choose the most appropriate option
A) 1/3 B) 3/4 C) 3/2 D) 2/3 E) 3/5

Solution: (32G + 56B) / (G+B) = 41   32G + 56B = 41(G+B)   15B=9G   B/G = 3/5   The answer is 3/5.
Answer: E
Ms. Martha invested in Fund W and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund W paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund W. How much did Ms. Morris invest in Fund W?
Choose the correct choice from the following answers.
A) $32,000
B) $36,000
C) $40,000
D) $42,000
E) $45,000

Solution: 0.17B-0.23W = 200 | * 100   17B-23W=20,000   W+B=100,000   B=100,000 - W   17(100,000 - W) - 23W = 20,000   1,700,000 - 17W - 23W = 20,000   1,680,000 = 40W   divide by 40   first two digits: 42...so answer is $42,000.
Answer: D
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?  Choose the correct answer.
A) 176 ways	B) 500 ways	C) 178 ways	D) 198 ways	E) 156 ways

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 25 girls in 25 ways   We select a boy and girl in 20 * 25 ways i.e.,   = 500 ways.   Answer:500 ways
Answer: B
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $104 million in sales?	Choose one
A) 8%
B) 15%
C) 45%
D) 42%
E) 56%

Solution: (9/104)/(3/20) = 30/54 = 57,6% it means that 9/108 represents only 57,6%. Therefore a decrease of 42%.   Answer 42%
Answer: D
A man can do a piece of work in 10days, but with the help of his son, he can do it in 4 days. In what time can the son do it alone?  Pick.
A) 13/2	B) 17/3	C) 15/2	D) 20/3	E) 9

Solution: Son's 1day's work = (1/4)-(1/10) = 3/20   The son alone can do the work in 20/3 days   Answer is 20/3
Answer: D
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident Options.
A) 35/900	B) 35/100	C) 35/101	D) 35/109	E) 35/122

Solution: Explanation:   Let A = Event that A speaks the truth   35/100 = Event that 35/100 speaks the truth   Then P(A) = 75/100 = 3/4   P(35/100) = 80/100 = 4/5   P(A-lie) = = 1/4   P(35/100-lie) = = 1/5   Now, A and 35/100 contradict each other =[A lies and 35/100 true] or [35/100 true and 35/100 lies]   = P(A).P(35/100-lie) + P(A-lie).P(35/100)   =   = = 35%   Answer: 35/100) 35/100
Answer: B
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, How many questions does he answer correctly?	Choose the correct choice from the following answers:
A) 20	B) 10	C) 30	D) 50	E) 40

Solution: Let the number of correct answers be x   Then, number of wrong answers = (80 - x)   4x – (80 - x) = 120   => 4x – 80 + x = 120   => 5x = 200   => x = 200/5= 
200/5 = 40
40   i.e., he does 40 questions correctly   Answer is 40.
Answer: E
There are 50 students in a class. If 6% are absent on a particular day, find the number of students present in the class.	Choose the correct option:
A) 47
B) 36
C) 28
D) 12
E) 11

Solution: Number of students absent on a particular day = 6 % of 50   i.e., 6/100 × 50 = 3   Therefore, the number of students present = 50 - 3= 
50 - 3 = 47
47 students.   47nswer: 47
Answer: A
A 7" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted? Select the correct option:
A) 81	B) 100	C) 125	D) 144	E) 225

Solution: The unpainted blocks are the interior blocks.   These blocks form a 5" cube on the inside.   The number of unpainted blocks is  5*5*5= 
 5*5*5 = 125
125 blocks.   The answer is 125.
Answer: C
Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob? Choose the most appropriate option:	A) 24	B) 30	C) 60	D) 2220	E) 120

Solution: Total # of ways the race can be finished is 7!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 7!/2=2220.   Answer: 2220.
Answer: D
At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint. How many liters of blue paint must be added to 24 liters of Fuchsia to change it to Mauve paint?  Choose the most appropriate option
A) 9 B) 12 C) 15 D) 16 E) 18

Solution: in 24 liters, Red = 5/8 * 24= 
5/8 * 24 = 15
15 and Blue= 9   so, 15/(9+x) = 3/5   or, x = 16 (Answer 16)
Answer: D
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 400 sq.ft, how many feet of fencing will be required ?
Select the correct option:
A) 60feet
B) 50feet
C) 40feet
D) 30feet
E) 5feet

Solution: Explanation:   We are given with length and area, so we can find the breadth.   as Length * Breadth = 60feetrea   => 20 * Breadth = 400   => Breadth = 20 feet   60feetrea to be fenced = 2B + L = 2*20 + 20= 
2*20 + 20 = 60
60 feet   60feetnswer: Option 60feet
Answer: A
Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is ?
Select.
A) 11	B) 12	C) 14	D) 15	E) 16

Solution: 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)]   3/11 × [4/3 + 5/4 × ........ 121/120]   3/11 × 4/3 × 5/4 × .... 121/120   121/11= 
121/11 = 11
11.   11)
Answer: A
The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?  Pick one:
A) 1 years
B) 2 years
C) 3 years
D) 4 years
E) 5 years

Solution: Amount = Rs. (30000 + 4347) = Rs. 34347.   Let the time be n years.   Then, 30000 1 + 7 n = 34347   100   107 n = 34347 = 11449 = 107 2   100 30000 10000 100   n = 2 years   2 years
Answer: B
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages? Options
A) 30, 40
B) 25, 30
C) 50, 60
D) 20, 40
E) 20, 60

Solution: Their present ages be 3X and 4X.   5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7   X = 35 - 25 => X = 10.   Their present ages are: 30, 40.   30, 40NSWER:30, 40
Answer: A
A train passes a man standing on the platform. If the train is 60 meters long and its speed is 72 kmph, how much time it took in doing so?  Choose the correct choice:
A) 6 ½ sec  B) 4 ½ sec  C) 6 sec  D) 3 sec  E) 2 ½ sec

Solution: 3 sec = 60   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 60/20= 
60/20 = 3
3 sec   Answer: 3 sec
Answer: D
If PINTU is coded as 79523 in a certain code language, how would you code DUMBO in the same language? Choose the correct choice from the following answers:
A) 43426
B) 14236
C) 13436
D) 14263
E) 15263

Solution: 1 2 3 4 5 6 7 8 9   a b c d e f g h i   j k l m n o p q r   s t u v w x y z   sooo...DUMBO is 43426...   43426NSWER:43426
Answer: A
The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is: Choose one:
A) 279  B) 283  C) 308  D) 318  E) 328

Solution: Other number = (11 * 7700)/275= 
(11 * 7700)/275 = 308
308.   ANSWER:308
Answer: C
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?  Choose the correct choice from the following choices:
A) 20	B) 99	C) 88	D) 77	E) 61

Solution: There are three ladies and five gentlemen and a committee of 5 members to be formed.   Number of ways such that two ladies are always included in the committee = ⁶C₃ = (6 * 5 * 4)/6= 
(6 * 5 * 4)/6 = 20
20.   20nswer:20
Answer: A
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 16 seconds. The length of the faster train is  Answers.
A) 80 m B) 100 m C) 120 m D) 180 m E) None

Solution: Solution   Relative Speed	= (36 + 45) km/hr   = (81 x 5/18) m/sec   = (45/2) m/sec   Length of the train	= (45 / 2 x 16) m   = 360 m.   Answer None
Answer: E
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}.Find A'	Answers:
A) {2,5} B) {3,4} C) {5,6} D) {7,8} E) {5,6,7,8,9}

Solution: U = {1, 2, 3, 4, 5, 6, 7, 8, 9}   A = {1, 2, 3, 4}   correct answer :A'= {5, 6, 7, 8, 9}   {5,6,7,8,9}
Answer: E
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 11.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?  Choose the correct choice from the following answers
A) $0.50 B) $1.00 C) $1.25 D) $1.50 E) $1.75

Solution: OA is definitely wrong. The answer should be $1.75.
Answer: E
At steel factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?	Choose the most appropriate option
A) 8/17 B) 1/2 C) 8/9 D) 9/8 E) 17/8

Solution: At steel factory,Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3= 
3*3 = 9
9;   Then the second shift would have 4 employees and each second shift employee would produce   3*2/3= 
  3*2/3 = 2
2 widgets, so the total number of widgets produced by the second shift employees would be   4*2= 
  4*2 = 8
8;   The ratio of the second shift production to the total is 8/(9+8)=8/17.   8/17nswer: 8/17.
Answer: A
A space shuttle orbits the earth at about 6 kilometers per second. This speed is equal to how many kilometers per hour? Choose the correct choice from the following: A) 480 B) 2,880 C) 21,600 D) 28,800 E) 48,000

Solution: Seconds in 1 hours:   60s in 1 min   60 min in 1 hr   60*60= 
60*60 = 3_600
3600 sec in 1 hr   6*3600=21,600   Answer: 21,600
Answer: C
What approximate value should come in place of the question mark (?) in the following equation?50.02 Ã— 12.65 â€“ 37.50 Ã— 10.55 = (50 + ?) Ã— 4
Choose one.
A) 10.282  B) 9.282  C) 9.5  D) 8.282  E) 9.1

Solution: Solve using approximation   Answer 9.282
Answer: B
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?	Choose the correct choice from the following choices.
A) 88%
B) 38%
C) 68%
D) 28%
E) 24%

Solution: Let original length = x   and original width = y   28%ecrease in area will be   =xy−(80x100×90y100)=(xy−1825xy)=725xy28%ecrease = (7xy25xy×100)%=28%   Answer: 28%
Answer: D
A coin is tossed live times. What is the probability that there is at the least one tail?  Choose the correct choice from the following answers: A) 31/32 B) 31/39 C) 37/32 D) 11/32 E) 31/82

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32   = 31/32   31/32nswer:31/32
Answer: A
A 10 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?  Options:
A) 1/6  B) 1/5  C) 3/10  D) 1/3  E) 4/10

Solution: A square with an area of 4 has a perimeter of 8.   For the area to be >4, the longer piece must be >8.   The wire must be cut within 2 meters from either end.   The probability of this is 4/10 = 2/5.   The answer is 4/10.
Answer: E
Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?  Choose the correct choice from the following options
A) $3.15  B) $4.45  C) $4.80  D) $5.05  E) $5.40

Solution: Let the fixed charge of Jim’s Taxi Service = 2.25 $   and charge per 2/5 mile(.4 mile) = .35$   Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .35   = 2.25 + 9*.35= 
2.25 + 9*.35 = 5.4
5.4 $   Answer $5.40
Answer: E
Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?	Select.
A) 54
B) 76
C) 25
D) 60
E) 58

Solution: A   54   It takes 3 hours for the Simpson & Stewie to meet.   so the eagle flies for 3 hours at 18 Km/hr = 54 kms
Answer: A
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?	Choose the correct choice from the following answers.
A) 93%	B) 97%	C) 100%	D) 107%	E) 120%

Solution: Say Arthur's fortune was $100. Then:   A = 20*1.5*1.1= 
20*1.5*1.1 = 33
33   B= 20*1.5*1.1= 
20*1.5*1.1 = 33
33   C= 20*1.5*0.4= 
20*1.5*0.4 = 12
12   D= 20*0.6*1.25= 
20*0.6*1.25 = 15
15   E= 0   Total 33 + 33 + 12 + 15= 
33 + 33 + 12 + 15 = 93
93.   93%nswer: 93%.
Answer: A
If 300!/10^n is an integer, what is the largest possible value of n?	Answers.
A) 75  B) 74  C) 79  D) 77  E) 72

Solution: The question actually asks the highest power of 10 which divides 300! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)   10 = 2 x 5   300 factorial will have 74 as -   300/5= 
300/5 = 60
60   60/5= 
60/5 = 12
12   12/5=2   So answer will be (77) 74
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?  Pick one:
A) 186 m  B) 176 m  C) 300 m  D) 150 m  E) 200 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 12)= 
(50/3 * 12) = 200
200 m.   Answer: 200 m
Answer: E
If a certain manager had received a 12.5% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise? Choose the most appropriate option:	A) 55,000	B) 58,080	C) 59,290	D) 59,400	E) 61,620

Solution: No need of getting involved with decimals ..just work in fractions ..   salary(let X) included 10% increase can be written as   (1+12.5/100)X=60500   X=60500/1.125------>53777.77   if there is 8% rise in 53777.77   then the salary now is 8% of 53777.77   8*53777.77/100=4302.22   then toal salary after increment=53777.77+4302.22----->58079.99   Ans 58,080
Answer: B
To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take Answers.
A) 24 days	B) 16 days	C) 12 days	D) 8 days	E) None of these

Solution: Explanation:   A+B 1 day work = 1/8   B+C 1 day work +  1= 
+  1 = 1
1/8   B+C 1 day work = 1/12   A+B+C 1 day work  +  1= 
 +  1 = 1
1/12   A+B+C 1 day work = 1/6   We can get A work by (A+B+C)-(B+C)   And C by (A+B+C)-(A+B)   So A 1 day work  + +  1= 
 + +  1 = 1
1/6   We can get A work by (A+B+C)-(B+C)   And C by (A+B+C)-(A+B)   So A 1 day work=   1/6−1/12=1/12   Similarly C 1 day work =   1/6−1/8 = 4−3/24=1/24   So A and C 1 day work =   1/12+1/24=3/24=1/8   So A and C can together do this work in 8 days   Option 8 days
Answer: D
Barbata invests $1400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment? Pick:
A) 700 B) 300 C) 1000 D) 360 E) 2400

Solution: Let the additional invested amount for 8% interest be x;   Equation will be;   1400+0.05*2400+x+0.08x = 1400+x+0.06(2400+x)   0.05*1400+0.08x = 0.06x+0.06*1400   0.02x = 1400(0.06-0.05)   x = 1400*0.01/0.02= 
1400*0.01/0.02 = 700
700   700ns:700
Answer: A
The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm. What is the ratio of the width and the area of the rectangle? Choose the correct choice from the following choices:
A) 1: 96	B) 1: 99	C) 1: 94	D) 1: 92	E) 1: 91

Solution: Let the length and the width be 4x and 3x respectively.   Area = (4x)(3x) = 6348   12x^2 = 6348   x^2 = 529   x = 23   The ratio of the width and the area is 3x : 12x^2 = 1 : 4x = 1: 92   The answer is 1: 92.
Answer: D
What is the place value of 3 in the numeral 3259	Pick
A) 2500 B) 3400 C) 3500 D) 3000 E) 4000

Solution: Option '3000'    3 * 1000= 
 3 * 1000 = 3_000
3000
Answer: D
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?	Select.
A) 308 sq cm B) 220 sq cm C) 440 sq cm D) 132 sq cm E) 138 sq cm

Solution: r = 7 h = 3   2πr(h + r) = 2 * 22/7 * 7(10) = 440   ANSWER:440 sq cm
Answer: C
If 175*s is a perfect square then s can be which of the following numbers? Select.
A) 21 B) 35 C) 54 D) 105 E) 150

Solution: My solution:   For a number to be a perfect square all the prime factors must be in pairs. So,   Prime factors of 175 are 5 *5 * 7   1) 21 = 3 * 7   2) 35 = 5 * 7   3) 54 = 2 * 3 * 3 * 3   4) 105 = 3 * 5 * 7   5) 150 = 2 * 3 * 5 * 5   So only answer choice D completes the pairing of 5 and 7. It adds a3, a5, and a7to the prime factors of 175 (5*5*7) and makes it a perfect square. 35
Answer: B
Sales price is $54, gross profit is 125% of cost, what is the value of gross profit? Choose the correct answer:	A) 32	B) 30	C) 39	D) 40	E) 42

Solution: Cost + Profit = Sales   Cost + (125/100)Cost = 54   Cost = 24   Profit = 54 - 24= 
54 - 24 = 30
30   Answer (30)
Answer: B
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.	Select
A) 1/10
B) 9/10
C) 1/5
D) 3/10
E) 1/2

Solution: Explanation:   10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!   Required probability = 1/5   ANSWER IS 1/5
Answer: C
A,B and C are brothers . D is A's father while G is B's son. Which of the following statements is definitely true ? Choose the correct choice from the following options:
A) D is G's grandparent  B) B is D's uncle  C) C is G's brother  D) D is B's brother  E) A is G's nephew

Solution: Explanation:   A,B and C are children of same parents. So. G who is B's son is a grandchild to D.   D is G's grandparentnswer: D is G's grandparent)
Answer: A
A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is Choose the correct choice:
A) 3
B) 5
C) 7
D) 9
E) 12

Solution: Sol.   Let the numbers be x.   Then, x - 4 = 21/x   ⇔ x2 - 4x - 21 = 0   ⇔ (x-7)(x+3) = 0   ⇔ x = 7.   Answer 7
Answer: C
1!+2!+3!+4!+5!+..100! is divided by 24. Find the remainder?	Choose the most appropriate option:  A) 3  B) 6  C) 9  D) 11  E) 13

Solution: By applying rule 2, we divide the terms of the above expression individually, and add them to get the final remainder. But from 4! onwards all the terms leave a remainder 0 when divided by 24.   So the remainder = 1 + 2 + 6 + 0 + 0....... = 9   9
Answer: C
Three clocks were set to true time and starts to run together, makes a beep sound at intervals of 8,10 and 12 minutes respectively. In 2 days, how many times do they will make the sound together ?  Choose the correct choice.
A) 12
B) 15
C) 25
D) 30
E) 35

Solution: Explanation :   The clocks make sound at intervals of 8, 10 and 12 minutes respectively.   The LCM of 8,10 and 12 is 120.   So, the clocks will make sound together after every 120 minutes. i.e., after every 2 hours.   In 2 days(48 hours), they will make the sound together   (48/2)= 
  (48/2) = 24
24 times.   At the end of 2nd day, they will make one more beep together.   Therefore, totally (24+1) 25 times beep sound is made together.   Hence the answer is 25 times.   Answer : 25
Answer: C
Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is Choose one:
A) Rs.9471	B) Rs.12,628	C) Rs.262.8	D) Rs.241.7	E) None

Solution: Solution   Ratio of their shares	=(35000Ã—8):(42000Ã—10)   = 128 : 125   Suganya's share	= Rs.(30570 Ã—2/253)   = Rs.241.7.   Answer Rs.241.7
Answer: D
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?  Pick one.
A) 921:630  B) 598:392  C) 118:126  D) 193:122  E) 201:132

Solution: 12:10=>12x+10x=22x   2:112 +10= 
12 +10 = 22
22x   2:1=>2y+1y=3y   3:22 +1= 
2 +1 = 3
3y   3:2=>3z+2z=5z   22x3 +2= 
3 +2 = 5
5z   22x=3y=5z   Take LCM of 22,3,5=330   Or simply;   x=15   y=110   z=66   So,   Ratio of Milk:Water= (12x+2y+3z)/(10x+y+2z)=598/392   Ans:598:392
Answer: B
How many multiples of 5 are there between 5 to 95? Pick one.
A) 9 B) 18 C) 17 D) 16 E) 15

Solution: As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the unit’s place). So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90.   Answer 17
Answer: C
A sum of Rs.3800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
A) A)282 B) B)2470 C) C)8383 D) D)8383 E) E)3284

Solution: Let A be the amount received at the end of the three years.   A = 3800[1 + 10/100][1 + 20/100][1 + 25/100]   A = 3800 * 1.65   A = Rs.6270   So the interest = 6270 - 3800 = Rs.2470   Answer: 2470
Answer: B
Rs. 6000 is lent out in two parts. One part is lent at 6% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choose the correct choice from the following choices
A) 3750:2250	B) 3751:2250	C) 3752:2250	D) 3760:2250	E) 3762:2250

Solution: Let the amount lent at 6% be Rs. x   Amount lent at 10% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 6/100 x + 10/100 (6000 - x) = 600 - 3x/100   => 600 - 3/100 x = 450 => x = 3750   3750:2250mount lent at 10% = 2750   Required ratio = 3750:2750   3750:2250nswer:3750:2250
Answer: A
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 9 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?	Choices: A) 7/4 B) 32/9 C) 15/4 D) 10/3 E) 17/5

Solution: Rate(1)=1/6   Rate(2)=1/9   Combined = 5/18   Work done in 2 days=5/9   Work left = 4/9   Rate * Time = Work left   1/8 * Time = 4/9   Time=32/9   32/9
Answer: B
P is four times as old as Q, and Q is five years older than R. If R is z years old, what is P’s age in terms of z?
Choose the correct choice:
A) 4z + 5	B) 4z + 20	C) 4z - 20	D) (z + 5)/4	E) (z − 5)/4

Solution: P = 4Q   Q = R+5 = z+5   P = 4(z+5) = 4z + 20   The answer is 4z + 20.
Answer: B