MU-NLPC/Calc-aqua_rat huggingface dataset:
Lucy deposited $67600 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5300?
Choose the correct choice from the following answers:
A) 90.5  B) 92  C) 93  D) 90  E) 96.1

Solution: A = P + I = 67600 + 5300= 
67600 + 5300 = 72_900
72900   72900= 67600(1 + 8/4*100)^(4t)   (729/676) = (102/100)^(4t)   t =7 1/2 yrs = 90 months   Answer: 90
Answer: D
For any positive x, y and z if x is n% of y and z is m% of y then what percentage Q must x be of z?	Choose the correct choice from the following answers:	A) (n/m)%	B) (m × n)%	C) (100 / [m × n]) %	D) (100 × m/n)%	E) (100 × n/m)%

Solution: x is n% of y M(100 × n/m)%ANS x= (n/100 )* y------------------------eq1   z is m% of y M(100 × n/m)%ANS z= (m/100 )* y------------------------eq2   Find equation of xz   substitute value of y from 2nd equation into Ist equation   so x= (n/100)*(100z/m)   so x= (n/m)z   or x= (100n/m)z/100   so answer Q is 100n/m %.(100 × n/m)%
Answer: E
Simplify: 0.6*0.6+0.6*0.6
Choose the correct choice
A) 0.52
B) 0.42
C) 0.48
D) 0.64
E) 0.46

Solution: Given exp. = 0.6*0.6+(0.6*6) = 0.36+0.1= 
0.36+0.1 = 0.46
0.46   Answer is 0.46.
Answer: E
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?  Choose the correct choice from the following answers:  A) 9  B) 10  C) 15  D) 18  E) 20

Solution: The only possible sum for 4 different squares of an integer with total sum number is 95 are :   49 + 36 + 9 + 1= 
49 + 36 + 9 + 1 = 95
95 which are the square from numbers : 7, 6, 3, 1 (total sum number is 17)   or     81 + 9 + 4 + 1= 
  81 + 9 + 4 + 1 = 95
95 which are the square from numbers : 9, 3, 2, 1 (total sum number is 15)   hence the answer is (15)
Answer: C
This is an ancient problem dating back to about 310 A.D.
Demochares had lived one-fourth of his life as a boy, one-fifth as a young, one-third as a man. and has spent thirteen years in his dotage. How old is Demochares?
Pick one:	A) 44	B) 53	C) 75	D) 60	E) 50

Solution: 60   60   60emochares must be sixty years of age.
Answer: D
A book is bought for Rs.600/- and sold at a profit of 10% find its selling price?  Choose the correct choice from the following:  A) s.740/-  B) s.660/-  C) s.680/-  D) s.720/-  E) s.620/-

Solution: 100 % ------> 600 (100 * 6 = 600)   110 % ------> 660 (110 * 6 = 660)   Selling price = Rs.660/-   Option 's.660/-'
Answer: B
Rekha took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest? Choose the correct choice from the following answers:	A) 5	B) 6	C) 4	D) 3	E) 7

Solution: Let rate = R% and time = R years.   Then, (1200 * R * R) / 100 = 588   12R2 = 588   R2 = 49 => R = 7.   Answer:7
Answer: E
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?  Choose the correct choice from the following answers:
A) 5.2 hrs	B) 2.9 hrs	C) 1.9 hrs	D) 7.2 hrs	E) 1.4 hrs

Solution: Net part filled in 1 hour = (1/4 - 1/9) = 5/36   The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.   Answer:7.2 hrs
Answer: D
If P(32, 6) = kC (32, 6), then what is the value of k?
Choose the correct option.
A) 6	B) 32	C) 120	D) 720	E) None

Solution: Since 32P6 = k32C6   ⇒ 32/ ( 32-6 ) = k(32/ ( 32-6 )   ⇒k = 6! = 720   Answer 720
Answer: D
In what time will a train 200 meters long cross an electric pole, if its speed is 128 km/hr  Pick one.
A) 5 seconds  B) 5.7 seconds  C) 3 seconds  D) 2.5 seconds  E) None of these

Solution: Explanation:   First convert speed into m/sec   Speed = 128*(5/18) = 35 m/sec   Time = Distance/speed   = 200/35 = 5.7 seconds   Option 5.7 seconds
Answer: B
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?	Choose the most appropriate option.
A) 270	B) 287	C) 269	D) 200	E) 271

Solution: Relative speed = (72 - 36) * 5/18 = 2 * 5= 
2 * 5 = 10
10 mps.   Distance covered in 27 sec= 27 * 10= 
27 * 10 = 270
270 m.   The length of the faster train= 270 m.   270nswer: 270
Answer: A
The area of a parallelogram is 243sq m and its altitude is three times the corresponding base. What is the length of the base?
Choose the correct answer:
A) 4
B) 9
C) 10
D) 4
E) 12

Solution: 3x * x = 243 => x   = 9   Answer: 9
Answer: B
There are 8 disks in a container that are numbered 23, 24, 25, 26, 28, 29, 30 and 31. 4 disks are randomly removed from the container, one after the other, without replacement. Then a list of 5 numbers containing the 4 numbers on the disks selected, together with the number 27 will be made. What is the probability that 27 is the median of the list of 5 numbers?
Choose the most appropriate option.
A) 2/5	B) 17/35	C) 1/2	D) 18/35	E) 5/9

Solution: we must consider that there are two ways to choose from A or B, and then two ways to choose each number from their respective groups:   Group A (23,24,25,26) and Group B (28,39,30,31). Then we saw that in order to have a median of 27 we need to have 2 from group and and 2 from group B.   The probability of that is 4/8 x 3/7 x 4/6 x 3/5 x (1/2) x (1/2) = 18/35.   Answer: 18/35.
Answer: D
Which of the following is closest to 1/6+1/66+1/666
Pick one:  A) 1/4.5  B) 1/7  C) 1/5.67  D) 1/9  E) 1/8

Solution: 1/6+1/66+1/666=0.16+0.015+0.0015= 
0.16+0.015+0.0015 = 0.1765
0.1765=1/5.665   Answer 1/5.67
Answer: C
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 35 more. What was his original selling price?
Choose the correct option:
A) $770	B) $550	C) $700	D) $1100	E) $840

Solution: Let the original purchase price be X   So original selling price at 10% profit = 1.1X   If product is purchased at 10% less of original = 0.9X   Profit of 30% on this price = 1.3(0.9X)   He would have received $35 more in second scenario => 1.3(0.9X) - 1.1X = 35   => 0.07X = 35   => X = $500   Original purchase price = $500   Hence, original selling price (at 10% of profit) = 1.1(500) = $550   Option $550
Answer: B
Craig sells major appliances. For each appliance he sells, Craig receives a commission of $50 plus 10 percent of the selling price. During one particular week Craig sold 6 appliances for selling prices totaling $3,620. What was the total of Craig's commissions for that week? Choose the correct choice from the following answers
A) $412
B) $526
C) $585
D) $605
E) $662

Solution: Craig receives a commission of $50 on each appliance plus a 10% commission on total sales, thus his commission was 6*50 + 0.1*3,620 = 662.   Answer: $662.
Answer: E
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is?  Choose the correct choice from the following answers:
A) 127
B) 688
C) 200
D) 121
E) 123

Solution: Let C.P. be Rs. x.   Then, 5% of x = 350 - 340= 
350 - 340 = 10
10   x/20= 10 => x = 200   Answer: 200
Answer: C
The side of a square is increased by 15% then how much % does its area increases?	Choose the correct choice from the following options.
A) 30.75 % B) 35.85 % C) 37.55 % D) 35.65 % E) 32.25 %

Solution: a = 100 a2 = 10000   a = 115 a2 = 13225   ----------------   10000 --------- 3225   100 -------? => 32.25 %   Answer:32.25 %
Answer: E
Mangala completes a piece of work in 10 days, Raju completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
Select:
A) 8 days
B) 10 days
C) 20/3 days
D) 14 days
E) 16 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 Ã— 20/30 = 20/3 days   20/3 days)
Answer: C
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.4, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
Choose the correct answer:
A) 0.06	B) 0.336	C) 0.21	D) 0.29	E) 0.94

Solution: The probability that eachdoesn'thit is: 0.4, 0.2, and 0.3. When we have multiple independent events, we multiply the probabilities:   .6*.8*.7 = 0.336.   Option: 0.336
Answer: B
The average weight of three boys P, Q and R is 54 kg, while the average weight of three boys Q, S and T is 60 kg. What is the average weight of P, Q, R, S and T?	Choose the most appropriate option:
A) 338	B) 279	C) 279	D) 342	E) 211

Solution: Explanation:   Total weight of (P + Q + R) = {54*3= 
54*3 = 162
162 kg   Total weight of(Q + S + T)= (60 *3)= 
(60 *3) = 180
180 kg   Adding both, we get : P + 2Q + S + R + T= (162 + 180)= 
(162 + 180) = 342
342 kg   So, to find the average weight of P, Q, R, S & T, we ought to know Q's weight, which is not given.   The data is inadequate.   ANSWER:342
Answer: D
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?  Choose the correct choice from the following options: A) 50 m B) 60 m C) 65 m D) 75 m E) 80 m

Solution: Let breadth = x metres.   Then, length = (x + 20) metres.   Perimeter = 5300 m = 200 m.   26.50   2[(x + 20) + x] = 200   2x + 20 = 100   2x = 80   x = 40.   Hence, length = x + 20 = 60 m   60 m
Answer: B
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 7^b, which of the following is a possible units digit of xy?  Select the correct option:
A) 1 B) 4 C) 5 D) 7 E) 8

Solution: Only Units digit of X and Y contribute to the Units digit of XY.   Finding all values ofXfor positive values ofa   When,   a=1; X=5   a=2; X=25   a=3; X=125........ Units digit repeat in a cycle of 5......   Similarly, Finding all values ofYfor positive values ofb   When,   b=1; Y=7   b=2; Y= 49   b=3; Y= 343   b=4; Y=2041   b=5; Y=16807....... Units digit repeat in cycle of 7,9,3,1,7,9,3....   So, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y   When X=5 and Y=7: Units digit of XY = 35   When X=5 and Y=9: Units digit of XY = 45   When X=5 and Y=3: Units digit of XY = 15   When X=5 and Y=1: Units digit of XY = 5   Only one possibilities for Units digit of XY i.e. 5   therefore answer is 5
Answer: C
Using all the letters of the word "FRIDAY", how many different words can be formed?  Pick
A) A)7 B) B)8! C) C)8 D) D)7! E) E)5!

Solution: Explanation:   Total number of letters = 5   Using these letters the number of 5 letters words formed is 5!.   Answer: Option 5!
Answer: E
When 52416 is divided by 312, the quotient is 168. what will be the quotient when 522.416 is divided by 0.0168? Pick one
A) 5 B) 6 C) 4 D) 3 E) 7

Solution: for the 1st no. there are 3 digits after decimal   for the 2nd no. there are 5 digits after decimal   total no. of decimals = 8   req. no. of digits=(n-1)=(8-1)= 
(8-1) = 7
7   ANSW7R :7
Answer: E
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.850 find the number of laborers?	Options.
A) 14 B) 15 C) 16 D) 17 E) 18

Solution: 2450 850   \ /   1250   / \   400 1200   1:3   1-->6   3-->?   18   ANSW18R:18
Answer: E
There is a road beside a river.Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return to place A first ?  Choose the most appropriate option.
A) 5.4 km /hr	B) 7.2 km /hr	C) 8.4 km/hr	D) 9.6 km /hr	E) 4.6 km /hr

Solution: speed of cycle both side on road will be same   average speed of cycle = 12 kmhr   downstream , boat speed =10+4= 
10+4 = 14
14kmhr   upstream= 10- 4= 
10- 4 = 6
6kmhr   averge of boat speeds=( 2* 14* 6)/14+6=8.4 kmhr   ANSWER:8.4 km/hr
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?  Choose the correct option:
A) 187 m
B) 278 m
C) 279 m
D) 270 m
E) 872 m

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: 270 m
Answer: D
If the area of circle is 616 sq cm then its circumference? Options:
A) 11
B) 88
C) 99
D) 266
E) 12

Solution: 22/7 r2 = 616 => r = 14   2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88 Answer: 88
Answer: B
Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age
of all  Select the correct option
A) 15.5	B) 15	C) 16	D) Cant be computed	E) None of these

Solution: Explanation:   As number of girls and boys is not given so result cant be computed   Answer: Option Cant be computed
Answer: D
Find the simple interest on Rs.567 for 7 months at 9 paisa per month?
Choose the correct choice from the following choices:
A) s.357.21	B) s.322.12	C) s.400	D) s.278.9	E) s.300

Solution: Explanation:   I = (567*7*9)/100= 
(567*7*9)/100 = 35_721/100 = around 357.21
357.21   s.357.21nswer: Option s.357.21
Answer: A
Look at this series: 97, 97, 93, 93, 89, 89, 85, 85, ... What number should come next? Answers
A) 75
B) 76
C) 78
D) 81
E) 80

Solution: Explanation:   In this series, each number is repeated, then 4 is subtracted to arrive at the next number.   Answer: Option 81
Answer: D
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/3 of the remaining paint. How many gallons of paint has Joe used?	Choose the correct choice:
A) 18  B) 180  C) 175  D) 216  E) 250

Solution: Total paint initially = 360 gallons   Paint used in the first week = (1/4)*360= 
(1/4)*360 = 90
90 gallons.   Remaning paint= 270 gallons   Paint used in the second week = (1/3)*270= 
(1/3)*270 = 90
90 gallons   Total paint used= 180 gallons.   Option 180
Answer: B
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C99, F102, __, L108, O111, ... What number should fill the blank? Choose the correct option.
A) I105  B) J106  C) K107  D) L109  E) M110

Solution: I105   I105   In this series, the letters progress by 3, and the numbers increase by 3.
Answer: A
Which of the following numbers is between 1⁄3 and 2⁄5?
Choose the correct choice
A) .45 B) .35 C) .29 D) .22 E) .20

Solution: 1/3 = .333...   2/5= 
2/5 = 2/5 = around 0.4
.4   The only number between these two is 0.35.   The answer is .35.
Answer: B
The average of 10 numbers is calculated as 18. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?	Choose the correct choice from the following answers:
A) A)16 B) B)18 C) C)19 D) D)22 E) E)24

Solution: Explanation:   10 * 18 + 36 – 26 = 190=>190/10= 
190/10 = 19
19   19)
Answer: C
A coin is weighted so that the probability of heads on any flip is 0.2, while the probability of tails is 0.8. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
Choose the correct choice from the following options: A) (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2 B) (0.3)^5 + 4(0.3)^4(0.8) + 6(0.3)^3(0.8)^2 C) (0.3)^5 + 3(0.3)^4(0.8) + 2(0.3)^3(0.8)^2 D) (0.3)^5 + 2(0.3)^4(0.8) + (0.3)^3(0.8)^2 E) (0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2

Solution: Probability of Head, P(H) = 0.2   Probability of Tail, P(T) = 0.8   Tail will appear NO more than twice   i.e. favourable cases   2 Tails and 3 Heads, Probability = 5C2*(0.2)^3*(0.8)^2   1 Tail and 4 Heads, Probability = 5C1*(0.2)^4*(0.8)^2   0 Tail and 5 Heads, Probability = (0.2)^5   Required Probability = Sum of all Favourable cases = (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2   (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2nswer: option (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2
Answer: A
If circles x and y have the same area and circle x has a circumference of 14π, half of the radius of circle y is:  Choose the correct choice
A) 16	B) 8	C) 4	D) 3.5	E) 1

Solution: x be radius of circle x   y be radius of circle y   given:   pi*x^2 = pi*y^2   also,   2*pi*x = 14*pi   x =7   thus y =7   y/2 = 3.5   Ans: 3.5
Answer: D
If n is an integer number, and m=115n, then m must be divisible by which of the following?  Choose the correct choice from the following:	A) 11	B) 15	C) 23	D) 25	E) 230

Solution: m=115n   m=5∗23n   So, m must be divisible by 5 & 23 both...   Among the given options only (23) satisfies.
Answer: C
Ram draws a card randomly among card 1-23 and keep it back. Then Sam draws a card among those. What is the probability that Sam has drawn a card greater than ram.  Choose the correct choice from the following:
A) 11/27 B) 11/24 C) 11/23 D) 11/21 E) 11/22

Solution: If Ram draws 1, then Sam can draw anything from 2 to 23 = 22 ways   If Ram draws 2, then Sam can draw anything from 3 to 23 = 21 ways   . . . .   . . . .   If Ram draws 23, Sam has no option = 0 ways.   Total required ways = 22 + 21 + 20 + . . . . + 0 = 22×23222×232 = 253   Total ways of drawing two cards = 23×23   Required probability = 253/529=11/23   Answer:11/23
Answer: C
3.5 can be expressed in terms of percentage as?  Choose the correct choice from the following options:
A) 0.35%
B) 3.5%
C) 35%
D) 350%
E) NONE

Solution: 3.5 = 35/10 = (35/10 * 100)= 
(35/10 * 100) = 350
350%   ANSWER:350%
Answer: D
4 dice are thrown simultaneously on the board. Find the probability show the same face.	Choose the most appropriate option: A) 1/121 B) 1/213 C) 1/216 D) 2/211 E) 3/213

Solution: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let XX be the event that all dice show the same face.   X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}   n(X)=6n(X)=6   Hence required probability,   =n(X)n(S)=664=n(X)n(S)=664   =1/216   1/216
Answer: C
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:  Select:
A) 2878 B) 277 C) 245 D) 299 E) 271

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.Answer: 245
Answer: C
Tom can hit a target 3 times in 6 shots, Marry can hit the target 2 times in 6 shots & mike can hit 4 times in 4 shots. What is the probability that atleast 2shots hit the target ?	Choose the correct choice from the following answers:
A) 3/4	B) 4/5	C) 2/3	D) 5/7	E) 6/8

Solution: Ashwini hits the target definitely, hence required probability that atleast 2 shots hit the target is given by   Karan hits tha target and Raja not hit the target.   or   Karan does not hit the target and Raja hits the target.   or.   Karan hits the target and Raja hits the target   = 2/6 x 3/6 + 4/6 x 3/6 + 2/6 x 3/6   = 24/36 = 2/3   2/3
Answer: C
A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?
Pick.
A) 33  B) 60  C) 88  D) 27  E) 26

Solution: Explanation:   length of the diagonal = 52*(15/60)= 
52*(15/60) = 13
13m   sum of length and breadth= 68*(15/60)= 
68*(15/60) = 17
17m   \inline {\color{60lack}\sqrt{l^{2}+b^{2}}=13 \; or\; l+b=17 }   area =lb = 1/2[(2lb)] = 1/2[(l+b)² - (l²+b²)] = 1/2[17² -169]   =1/2*120= 
1/2*120 = 60
60 sq meter   Answer: 60) 60
Answer: B
3,14,39,_? Choices: A) 81 B) 82 C) 83 D) 84 E) 85

Solution: n^3 + n^2 + n   Soln : 1^3+1^2+1 = 3   2^3+2^2+2 = 8+4+2= 
8+4+2 = 14
14   3^3+3^2+3= 27+9+3= 
27+9+3 = 39
39   4^3+4^2+4= 64+16+4= 
64+16+4 = 84
84   ANSWER:84
Answer: D
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 81. What is the difference between the two digits of that number?
Choose the correct option:	A) 4	B) 5	C) 6	D) 8	E) 9

Solution: Sol.   Let the ten’s digit be x and unit’s digit be y,   Then, (10x + y) - (10y + x) = 81 ⇔ 9 (x - y) = 81   ⇔ x - y = 9   Answer 9
Answer: E
In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/6 . If the probability that a number 12 or larger is drawn is 1/2 , what is the probability that a number less than or equal to 20 is drawn?  Options.
A) 1/18  B) 1/6  C) 2/3  D) 1/2  E) 5/6

Solution: You can simply use sets concept in this question. The formula   Total = n(A) + n(B) - n(A and B) is applicable here too.   Set 1: Number 12 or larger   Set 2: Number 20 or smaller   1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)   1/2 + P(Set 2) - 1/6 = 2/3   P(Set 2) = 2/3   Answer (2/3)
Answer: C
In how many ways can the word DAILY arranged?	Options:
A) 720
B) 100
C) 620
D) 120
E) 150

Solution: DAILY-there are 5 letters.   so we have 5 possible arrangements.   5!=5*4*3*2*1= 
5*4*3*2*1 = 120
120 was   Answer is option 120
Answer: D
The value of x + x(xx) when x = 2 is:
(a) 10, (b) 16, (c) 18, (d) 36, (e) 64
Choose the correct choice from the following options
A) 10
B) 2
C) 8
D) 6
E) 4

Solution: x + x(xx)   Put the value of x = 2 in the above expression we get,   2 + 2(22)   = 2 + 2(2 × 2)   = 2 + 2(4)   = 2 + 8= 
2 + 8 = 10
10   10nswer is 10.
Answer: A
A cylinder of height h is 6/7 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h? Choose the correct choice from the following answers:
A) 25% B) 50% C) 60% D) 70% E) 100%

Solution: Basically we can disregard the radius is 25% information, as we are only asked about the height of the original and the new cylinder.   This is becausethe new cylinder is 3/5 fullmeans the same as that it's height is 3/5.   Original cylinder 6/7   New cylinder 3/5   So 3/5/6/7 = 3/5*7/6= 
3/5*7/6 = 7/10 = around 0.7
0.70 or 70%.   Answer 70%
Answer: D
There is a 55 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 55 cm, how many insects were still left after the race was over? Select the correct option:
A) 0	B) 3	C) 6	D) 9	E) 12

Solution: Only the prime numbers greater than 10 and less than 55 were left.   That is 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, and 53.   The total is 12.   The answer is 12.
Answer: E
A certain sum of money at simple interest amounted Rs.1240 in 6 years at 4% per annum, find the sum?	Choose one:  A) 998  B) 1000  C) 890  D) 646  E) 789

Solution: 1240 = P [1 + (6*4)/100]   P = 1000   Answer: 1000
Answer: B