MU-NLPC/Calc-aqua_rat huggingface dataset:
A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100, for how much did the shop sell the clock the second time?
Choose the most appropriate option:  A) $270  B) $250  C) $240  D) $220  E) $200

Solution: Original Price = x   Sold to collector at 1.2x   re-buy price = 1.2x * 0.5 = 0.6x   therefore, x - 0.6x 1.2  * 0.5= 
1.2  * 0.5 = 0.6
0.6x   therefore, x - 0.6x= 100; x = 250   second selling price = 1.8 * 0.6 * 250= 
1.8 * 0.6 * 250 = 270
270   $270NSWER:$270
Answer: A
A straight pipe 1 meter in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter? Pick.
A) 1/20 and 1/10 only
B) 1/5, 1/20 ,3/20 and 1/10
C) 1/6, 1/4, and 1/3
D) 1/12, 1/6 and 1/4
E) 1/12, 1/6, and 1/3

Solution: Generally fast way to solve such problem is writing the different marks in ascending/descending order with same denominator:   Here 4th : 0/4, 1/4, 2/4, 3/4, 4/4   and 5th : 0/5, 1/5, 2/5, 3/5 , 4/5, 5/5   Now with understood common denominator 20 write the numbers : for 4th : 0,5,10,15,20 and for 5th : 0,4,8,12,16,20   Now comine : 0,4,5,8,10,12,15,16,20   Now find the cut with denominator 20 (Substracrt adjacent terms : 1/5, 1/20, 3/20, 1/10,1/10,3/20,1/20,1/5 i.e. 1/5, 1/20 ,3/20 and 1/10 after removing duplicates.   Answer : 1/5, 1/20 ,3/20 and 1/10
Answer: B
How many multiples of 4 are there between 1 and 99 ?	Choose the correct choice from the following answers:	A) 20	B) 24	C) 26	D) 25	E) 22

Solution: 4 multiples are 4,8,12,---------,92,96   It should be mentioned whether 1 and 99 are inclusive.   the answer is   (96-4)/4+1= 
  (96-4)/4+1 = 24
24   Answer is 24
Answer: B
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, the how old is B?  Pick.
A) 10 years  B) 12 years  C) 14 years  D) 15 years  E) 16 years

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 32   5x = 30   x = 6.   Hence, B's age = 2x = 12years.   12 years)
Answer: B
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Choose the correct option.
A) 7.75 sec	B) 9.15 sec	C) 7.15 sec	D) 7.19 sec	E) 7.25 sec

Solution: Explanation:   T = (121 + 165)/ (80 + 65) * 18/5   T = 7.15   Answer: Option 7.19 sec
Answer: D
A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?	Choose the correct choice:
A) 5 pm B) 4 pm C) 3 pm D) 2 pm E) 1 pm

Solution: the thief is overtaken x hrs after 2.30 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 75(x - 1/2) => x = 5/2 hrs.   So, the thief is overtaken at 5 p.m.   5 pmNSWER 5 pm
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct answer.
A) 267 B) 240 C) 166 D) 111 E) 121

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train   = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300   = 540 ==> x   = 240 m.   Answer: 240
Answer: B
In a 100m race, Sam beats John by 6 seconds. On the contrary, if Sam allowed John to start 36m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?  Pick one: A) 10.66 seconds B) 25 seconds C) 29 seconds D) 21 seconds E) 6.25 seconds

Solution: Their difference is 6 second but this difference is 0 if john allows Sam to start the race from 36m ahead . that means Jhon was 36m away from finishing line when they started together . so He will cover 36 m in 6 seconds . so his speed =36/6= 
36/6 = 6
6 metre / second . so time taken=100/6=16.66 seconds . so Sam took = 10.66 seconds .   correct answer = 10.66 seconds
Answer: A
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Select
A) 10 B) 15 C) 20 D) 12 E) 15

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   ANSWER:12
Answer: D
A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two Choose the correct answer
A) brother sister relation B) sister sister-in-law relation C) daughter father relation D) daughter mother relation E) grand daughter father relation

Solution: man(ram)--says-->friend(somu)   Let the Daughter (ramya)   (ram's)grandmother---->(ram's father)only son----->(ram's sister)Daughter.   The relation between Ram & Ramya is brother sister relation   brother sister relationNSWER:brother sister relation
Answer: A
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
Choose the correct choice from the following answers.
A) 15  B) 18  C) 16  D) 20  E) None of these

Solution: Explanation:   According to the question let n be the number of articles.   => 16ost price of n articles = n   => Selling price of n articles = 20   => Profit % = 25%   => Profit % = (SP - 16P)/16P X 100   Putting the values in the formula   (20-n)/n x 100 = 25   => 5n/4 = 20   => n = 16   ANSWER 16
Answer: C
How many different positive integers are factors of 256 ?	Choose the correct answer:
A) 4  B) 6  C) 8  D) 16  E) 18

Solution: 16×16=4^2 × 4^2   So total factors = (3+1)(3+1) = 16   Answer: 16
Answer: D
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is: Pick one:
A) 7
B) 29
C) 41
D) 67
E) 89

Solution: x+(x+36)+y=100 => 2x+y=64   Therefore y must be even prime, which is 2.   Therefore 2x+2=64 => x=31   Third prime number= (x+36)= (31+36)= 
(31+36) = 67
67.   Answer: 67
Answer: D
In what time will a train 100 meters long cross an electric pole, if its speed is 90 km/hr	Choose the correct choice from the following answers
A) 8.5 seconds B) 2.8 seconds C) 3.5 seconds D) 2.5 seconds E) 4 seconds

Solution: First convert speed into m/sec   Speed = 90*(5/18)= 
90*(5/18) = 25
25 m/sec   Time= Distance/speed   = 100/25= 
100/25 = 4
4 seconds   Answer: 4 seconds
Answer: E
Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?
Choose the correct option:
A) No Change B) +14.68% C) –14.68% D) Depends on the initial amount of a, b, c, d E) None of these

Solution: DETAILED SOLUTION   Since, tensile strength of A = a x b x c x d, If we assume initial tensile strength to be 100, we can apply successive % changes to arrive at the final figure   100 -30% ---> 70 (Any of the change can be carried out first, the result would be same)   70 + 30% ---> 91   91 + 25% ---> 113.75   113.75 – 25% --> ~85.31   Therefore, percent change in tensile strength = -14.68%   Note – This question could have been solved by just looking at the options. As the individual percentage increase and percentage decrease are same, it will effectively result in an overall percentage decrease for sure because any increase by any % will result in a greater subsequent decrease if same % decrease is applied. Similarly, aby % decrease by any % will result in a smaller subsequent increase if same % increase is applied.   –14.68%orrect Answer: –14.68%
Answer: C
When T is divided by 9, the remainder is 4. All of the following are possible values of T, except for which of the following? Choose the correct choice from the following choices:
A) 13
B) 31
C) 49
D) 57
E) 67

Solution: The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....   by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed T in the form of 9x+4   In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doesn't follow this condition   Correct Answer - 57
Answer: D
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is: Choose the correct choice from the following options:  A) 10.8 sec  B) 9.5 sec  C) 7.4 sec  D) 8.9 sec  E) 8.8 sec

Solution: Relative speed = (60 + 40) km/hr = 100x5/18 = 250/9 m/ sec.   Distance covered in crossing each other = (140 + 160)= 
(140 + 160) = 300
300 m.   Required time= 300x9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   10.8 secnswer : 10.8 sec.
Answer: A
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?	Select the correct option
A) 21 1/9%  B) 61 1/9%  C) 11 1/9%  D) 31 1/9%  E) 81 1/9%

Solution: Explanation:   900 --- 100   100 --- ? => 11 1/9%   Answer: 11 1/9%
Answer: C
If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
Choose the correct choice from the following.
A) 1/2
B) 3/5
C) 2/3
D) 2/5
E) 3/5

Solution: Explanation:   Let the fraction be x/y.   => (x+1)/y = 1   => x+1 = y—(1)   x/(y-1) = 1/2   => 2x = (y+1)—(2)   =>Equating (1) and (2)   => x+1 = 2x-1   =>x=2   Subsituting the value of x in (1)   =>y=3   =>2/3   ANSWER 2/3
Answer: C
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choose the correct choice
A) 10% B) 14% C) 18% D) 22% E) 26%

Solution: Let I be the number of incandescent bulbs.   Let F be the number of fluorescent bulbs.   0.4I + 0.8F = 0.7(I+F)   0.1F = 0.3I   F = 3I   This means that for every 1 incandescent bulb, there are 3 fluorescent bulbs.   The percent of bulbs that are switched on which are incandescent is:   0.4I / (0.4I + 0.8F) = 0.4I / (0.4I + 0.8*3I) = 0.4I / 2.8I = 1/7 which is about 14%.   The answer is 14%.
Answer: B
The probability that a computer company will get a computer hardware contract is 4/5 and the probability that it will not get a software contract is 3/5. If the probability of getting at least one contract is 5/6, what is the probability that it will get both the contracts? Choose the most appropriate option: A) 7/20 B) 9/25 C) 11/30 D) 13/35 E) 17/40

Solution: Let, A ≡ event of getting hardware contract   B ≡ event of getting software contract   AB ≡ event of getting both hardware and software contract.   P(A) = 4/5, P(~B) =5/9   => P(B) = 1- (3/5) = 2/5.   A and B are not mutually exclusive events but independent events. So,   P(at least one of A and B ) = P(A) + P(B) - P(AB).   => 5/6 = (4/5) + (2/5) - P(AB).   => P(AB) = 11/30.   Hence, the required probability is 11/30.   The answer is 11/30.
Answer: C
There are 24 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?  Choose the correct choice from the following choices:
A) 10 B) 20 C) 40 D) 50 E) 70

Solution: A   10   12 kids wear socks   8 kids wear shoes   6 wear both.   12 – 6 = 6 (wear only socks)   8 – 6 = 2 (wear only shoes)   6 (wear both)   hence, 24 -14 = 10   10 kids are with bare feet.
Answer: A
Sophia finished 2323 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?	Options:
A) 140  B) 320  C) 745  D) 270  E) 350

Solution: Let x be the total number of pages in the book, then she finished 23⋅x pages.   Then she has x−23⋅x=13⋅xpages left.   23⋅x−13⋅x=90   13⋅x=90   x=270   So the book is 270 pages long.   correct answer is 270)270
Answer: D
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?	Choose the most appropriate option:
A) 11	B) 1	C) 2	D) 7	E) 9

Solution: Explanation:   7 * 8 : 9 * x = 8:9 => x= 7   Answer:7
Answer: D
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ? Choose the correct choice from the following options.
A) 11/18
B) 5/18
C) 6/19
D) 17/18
E) 16/18

Solution: We may have (3 men and 2 women) = (7C3 x 6C2) = 525   or (4 men and 1 woman) = (7C4 x 6C1) = 210   or (5 men only) = (7C5) = 21   Required ways = 756   Probability of having only 1 woman in committee = 210 / 756 = 5/18   ans - 5/18
Answer: B
1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series Choose the correct choice from the following answers.
A) 3126	B) 3226	C) 3236	D) 3246	E) 3854

Solution: 1st terms gives 2nd and 3rd terms   1st term is 1   2nd term   1*5= 
  1*5 = 5
5 3rd term= 5+1= 
5+1 = 6
6   similarly,   4th term=5*5= 
5*5 = 25
25 5th term=25+1= 
25+1 = 26
26   1st term gives 2nd and 3rd values   2nd term gives 4th and 5th values   lke wise   16th term gives 32nd and 33rd values   16 th term is 125*5= 
125*5 = 625
625   32nd term is   625*5= 
  625*5 = 3_125
3125 and 33rd value is 3126   3126NSWER:3126
Answer: A
A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?	Choose one:	A) 5	B) 6	C) 9	D) 24	E) 36

Solution: list the people as 1,2,3,4,5,6 from shortest to tallest   First row leftmost -> Only 1 choice - the shortest -> Person 1   Last row rightmost -> only 1 choice - the tallest -> Person 6   First row second seat -> cannot be 4 or 5 because the constraint set on the second row would be violated. So First row second seat has to go to 2 or 3 (2 choices)   First row last seat -> If person 2 is seating on first row second seat, then the first row last seat can be person 3, person 4 or person 5 (3 choices)   First row last seat -> If person 3 is seating on the first row second seat, then the first row last seat can only be 4 or 5 (2 choices).   once we fix the first row, the last row can only be 1 certain choice in order to fit the constraint set by the question.   So we end up with   1,2,3/4/5 -> 3 ways   1,3,4/5 -> 2 ways   Total 5 ways.   5nswer: 5.
Answer: A
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.985. Find the cost of each ice-cream cup?  Choices:
A) 25
B) 76
C) 29
D) 12
E) 20

Solution: Explanation:   Let the cost of each ice-cream cup be Rs.x   16(6) + 5(45) + 7(70) + 6(x) = 985   96 + 225 + 490 + 6x = 985   6x = 174 => x = 29.   Answer:29
Answer: C
A right circular cylinder has a height of 25 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid? Choose the most appropriate option:
A) 500(π – 3) B) 500(π – 2.5) C) 500(π – 2) D) 500(π – 1) E) 625(π – 1.5)

Solution: [quote=Bunuel]A right circular cylinder has a height of 20 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?   The square base has sides of sqrt(50) due to the 45-45-90 triangle   25*25*pi - 15*sqrt(50)^2   =625(π – 1.5)   E. 500(π – 1.5)
Answer: E
On a game show, a contestant spins 2 different wheels; each wheel is numbered 1 to 5. What is the probability that the contestant will spin all tens? Select:
A) 2/41  B) 3/6  C) 7/9  D) 1/25  E) 23/45

Solution: All 5s:   1st wheel = 5 = 1/5   2nd wheel = 5 = 1/5   (1/5)(1/5)= 1/25   Answer: 1/25
Answer: D
If the price has fallen by 14% what percent of its consumption be: increased so that the expenditure may be the same as before? Choose the correct option
A) A)11% B) B)10% C) 1/9 % D) 1/11 % E) 7/43%

Solution: 100 – 14 = 86   86------14   100------? => 7/43%   ANSW7/43%R:7/43%
Answer: E
Two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
A) 11 sec  B) 70 sec  C) 21 sec  D) 20 sec  E) 19 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 100 + 120= 
100 + 120 = 220
220 m.   The time required= d/s   = 220/20= 
220/20 = 11
11 sec.   11 secnswer: 11 sec
Answer: A
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Coe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Coe? 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.   Coe 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
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is?  Select the correct option
A) 6 km B) 7 km C) 7.2 km D) 8 km E) 8.4 km

Solution: speed of a boat in still water = 15 km/hr   Speed of the current = 3 km/hr   Speed downstream = (15+3)= 
(15+3) = 18
18 km/hr   Distance travelled downstream in 24 minutes=2460×18=2×185 = 7.2 km   7.2 km
Answer: C
A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, What is the probability that they will have exactly 3 girls and 1 boy?  Pick:
A) 4  B) 3  C) 2  D) 1  E) 1/2

Solution: Sample space = 2^4 = 16.   Favourable events = {bbgg}, {bgbg}, {bggb}, {ggbb}, {gbgb}, {gbbg}.{bggg},{gbbb)   Probability = 8/16 = 1/2.   Ans (1/2).
Answer: E
Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 190km apart?	Options.
A) 1 1/4 hours B) 5 hours C) 4hours D) 3 3/4 hours E) 6hours

Solution: To be (18+20) km apart, they take 1 hour   To be 190 km apart, they take   1/38 * 190= 
  1/38 * 190 = 5
5 hrs   Answer is 5 hours
Answer: B
A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Select.
A) 14 years  B) 18 years  C) 20 years  D) 22 years  E) 16 years

Solution: Let the son's present age be x years. Then, man's present age = (x + 24) years.   (x + 20) + 2 = 2(x + 2)   x + 22 = 2x + 4   x = 18.   answer :18 years
Answer: B
If a > 1, which of the following is equal to (2a + 6)/(a^2 + 2a - 3)?
Options:
A) a
B) a + 3
C) 2/(a - 1)
D) 2a/(a - 3)
E) (a - 1)/2

Solution: (2a + 6)/(a^2 + 2a - 3) = 2(a + 3) / (a + 3)(a - 1)   = 2/(a - 1)   Option 2/(a - 1)
Answer: C
The average of four consecutive odd numbers is 24. Find the largest number. Select the correct option:
A) 25	B) 27	C) 29	D) 31	E) 32

Solution: Explanation:   Let the numbers are x, x+2, x+4, x+6, then   =>x+(x+2)+(x+4)+(x+6)4=24   =>4x+12)4=24   =>x+3=24=>x=21   So largest number is 21 + 6= 
21 + 6 = 27
27   Answer: Option 27
Answer: B
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Choose the correct option:  A) 658 m  B) 156 m  C) 245 m  D) 156 m  E) 186 m

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer:245 m
Answer: C
In his ranch, Doug Bo can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that he will be able to place a lasso around a cow’s neck at least once in 5 attempts? Choose one
A) 1/5  B) 15/32  C) 1/2  D) 31/32  E) 1

Solution: The probability of not placing a lasso around the cow's neck on 5 attempts is:   (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32   The probability of placing a lasso around the cow's neck on 5 attempts is   1 - (1/32) = 31/32   correct answer option 31/32
Answer: D
In a certain match all the teams were to play with each other. If there are 5 teams, how many matches will have to be played?	Pick one:	A) 40	B) 45	C) 60	D) 10	E) None of the above

Solution: 5c2   =10   ANSWER:10
Answer: D
If a cost college Rs0.70 a companyto produce a program for yhe home coming football game.if Rs 15000 was received for addvertisement in the pgm ,how many copies rs 0.50 a copy must be sold to make a profit of Rs 8000
Choose the correct choice:
A) 15000
B) 25000
C) 45000
D) 32000
E) 35000

Solution: let no. of pages be x   while selling with 0.70paise/page total cost=0.70*x   while selling with 0.50paise/page toatal cost=0.50*x   now according to question-   (0.70x - 0.50x) + 8000 = 15000   therefore, x=35000 copies must be sold   ANSW35000R:35000
Answer: E
If three numbers in the raƟo 3 : 2: 5 be such that the sum of their squares is 1862, the middle
number will be Answers
A) 10 B) 14 C) 18 D) 22 E) None of these

Solution: Explanation:   Let the numbers be 3x, 2x and 5x.   Then,   9x + 4x + 25x =1862   ⇒   38x = 1862   ⇒   x = 49   ⇒   x = 7.   middle number = 2x = 14   Answer: 14
Answer: B
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choose the correct choice from the following choices:
A) Rs.200 B) Rs.250 C) Rs.300 D) Rs.350 E) Rs.400

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   Rs.250ut x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: B
What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?
Select the correct option.
A) Rs. 400. 00 B) Rs. 120. 00 C) Rs. 510. 00 D) Rs. 520. 00 E) Rs. 220. 00

Solution: Explanation:   SI for 2 years = 568 – 520 = Rs. 48   SI for 5 years = Rs. 120   Principal = 520-120 = Rs. 400   Rs. 400. 00nswer: Rs. 400. 00
Answer: A
How much time will take for an amount of Rs. 330 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choose the correct option:
A) 5 5/11years	B) 6 5/11years	C) 7 5/11years	D) 12 5/11years	E) 15 2/11years

Solution: Time = (100 * 81) / (350 * 4.5) = 5 5/11years   5 5/11yearsNSWER:5 5/11years
Answer: A