MU-NLPC/Calc-aqua_rat huggingface dataset:
Ramesh purchased a refrigerator for Rs. 17500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered? Choose the correct choice from the following choices
A) 34778 B) 26888 C) 24475 D) 17600 E) 12778

Solution: Price at which the TV set is bought = Rs. 17,500   Discount offered = 20%   Marked Price = 17500 * 100/80 = Rs. 21875   The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 21875 + 375 = Rs. 22250   The price at which the TV should be sold to get a profit of 10% if no discount was offered = 22250 * 110/100   = Rs. 24475   Answer: 24475
Answer: C
A certain college party is attended by both male and female students. The ratio of male to female students is 3 to 5. If 6 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party? Choose the correct choice from the following answers
A) 64	B) 72	C) 80	D) 88	E) 96

Solution: The ratio is 3:5 = 6:10, so there are 6k males and 10k females.   If 6 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.   6k-5k = 6   k = 6   6k + 10k = 36 + 60= 
36 + 60 = 96
96   The answer is 96.
Answer: E
Two dice are rolled. What is the probability the sum will be greater than 9? Answers:  A) 1/9.  B) 1/12.  C) 5/36.  D) 1/6.  E) 1/5.

Solution: Combinations possible: (6,6) , (5,6) , (6,5) , (5,5) = 4   Total combinations possible:   6*6= 
  6*6 = 36
36   1/9.nswer= 4/36 = 1/9 Option 1/9..
Answer: A
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I.	x = y
II.	x > y
III. x = z  Options.
A) I and II
B) I only
C) II only
D) III only
E) None

Solution: 3x-3y=-3z   x-y=-z   Since z<0; -z>0   x-y>0   x>y   II correct.   We can't say much about z though;   x=-5; y=-100; z=-95   I and II incorrect.   Ans:II only
Answer: C
The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle?  Select the correct option:
A) 2&4
B) 3&5
C) 4&6
D) 5&7
E) 6&8

Solution: Let x and y be the length and width of the rectangle. Using the formulas for the area and the perimeter, we can write two equations.   15 = x y and 16 = 2 x + 2 y   Solve the second equation for x   x = 8 - y   Substitute x in the equation 15 = x y by 8 - y to rewrite the equation as   15 = (8 - y) y   Solve for y to find   y = 3 and y = 5   Use x = 8 - y to find x   when y = 3 , x = 5 and when y = 5 , x = 3.   The dimensions of the rectangle are 3 and 5.   correct answer 3&5
Answer: B
6) A marketing firm determined that , of 180 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?	Pick one.
A) a) 15  B) b) 20  C) c) 30  D) d) 10  E) e) 45

Solution: 100 = At least one of Soap A or B   Both brands = x   Brand B = 3x   => 60 + x + 3x = 100   => 4x = 40   => x = 10   Answer - d) 10
Answer: D
How many ways are there to split a group of 4 students into two groups of 2 students each? (The order of the groups does not matter)  Select the correct option:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 4C2 = 6   If we consider these groups, each group will be counted twice.   The number of ways to choose 2 groups of 2 is  6/2= 
 6/2 = 3
3   The answer is 3.
Answer: B
40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers.What percentage of the people read neither newspaper ?	Choose one
A) 18% B) 20% C) 22% D) 16% E) 30%

Solution: n(A)=40,n(B)=50,n(AnB)=10.   n(AuB)=n (A)+n (B)-n(AnB)=40+50-10= 
40+50-10 = 80
80.   Hence, percentage passed=(100-80)= 
(100-80) = 20
20%.   Answer is 20%
Answer: B
The speed of a boat in still water is 60kmph and the speed of the current is 25kmph. Find the speed downstream and upstream?
Choose the correct choice from the following choices.
A) 80,47 kmph	B) 80,80 kmph	C) 85,35 kmph	D) 80,40 kmph	E) 83,40 kmph

Solution: Speed downstream = 60 + 25= 
60 + 25 = 85
85 kmph   Speed upstream= 60 - 25= 
60 - 25 = 35
35 kmph.Answer:85,35 kmph
Answer: C
If the sum of the 4th term and the 12th term of an arithmetic progression is 12, what is the sum of the first 15 terms of the progression? Choose the correct option
A) 90	B) 80	C) 70	D) 60	E) 50

Solution: 4th term   + 12= 
  + 12 = 12
12   i.e., (a+3d)+(a+11d)= 12   Now, Sum of first 15 terms = (15/2) * [2a + (15-1)d]   = (15/2) * [2a + 14d]   = (15/2) * 12 --------------- From (1)   =90   90nswer : 90
Answer: A
If r and p are two different prime numbers, which of the following is the smallest possible value of r + p?  Answers.
A) 1  B) 3  C) 5  D) 8  E) 10

Solution: By definition only positive numbers can be primes.   Two smallest primes are 2 and 3 --> 2 + 3 = 5.   Answer: 5
Answer: C
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds W in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers? Choose the correct choice from the following
A) 25% B) 35% C) 45% D) 70% E) 80%

Solution: 1. We are given the following percentages: 30 (70), 40 (60), 25 (75). There are two threads from here. First starts at 30% and finishes there. Second one starts at 70, then 40, and then 25. We need a value that is divisible by 7, 2, and 5 at least once. lets pick a number now, say 700. So say if Non Hawks are 700 (this is 70% of the total, so total = 1000), then Paddy Warbs are 2/5 x 700 = 1400/5= 
1400/5 = 280
280. Kingfishers, therefore, are   280/4= 
  280/4 = 70
70. Lets add them up. 300 hawks + 280 Peddy Warbs + 70 kingsifhers= 650. So all others are  1000 - 650= 
 1000 - 650 = 350
350 or 35% of total birds.   The main job here to to identify the smart number to start the question with. This can be time consuming, but once identified, this question can be solved fairly quickly.   2. Another method: If X is total --> Non Hawks= 0.7X --> Warbs = 0.4(0.7X) --> KFs = 0.25(0.4(0.7X)).   Our job is to find out W: (0.3X + 0.28X + 0.07X)/ X. OR 0.65X/X = 0.65. We need to find   1-0.65= 
  1-0.65 = 0.35
0.35 or 35%.35%
Answer: B
A man rows his boat 70 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?	Choose the correct option.
A) 1 kmph  B) 6 kmph  C) 5 kmph  D) 8 kmph  E) 7 kmph

Solution: Speed downstream = d/t = 75/(2 1/2) = 28 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (28 - 18)/2= 
(28 - 18)/2 = 5
5 kmph   Answer:5 kmph
Answer: C
A sum of Rs. 2500 amounts to Rs. 3500 in 4 years at the rate of simple interest. What is the rate of interest?
Choose the correct choice from the following answers:
A) 7%
B) 9%
C) 5%
D) 6%
E) 10%

Solution: S.I. = (3500- 2500) = Rs. 1000   Rate = (100 * 1000) / (2500* 4)= 
(100 * 1000) / (2500* 4) = 10
10%   Answer: 10%
Answer: E
The H.C.F of two numbers is 19 and their L.C.M is 4263. If one of the numbers is 399, then the other is?	Choose the correct choice from the following answers
A) 202	B) 203	C) 204	D) 205	E) 206

Solution: Other number = (19 * 4263)/399= 
(19 * 4263)/399 = 203
203.   Answer: 203
Answer: B
Three years ago the average age of a family of seven members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy? Pick:
A) A)8 B) B)7 C) C)6 D) D)5 E) E)4

Solution: 7 * 23= 
7 * 23 = 161
161   7 * 19= 153   --------------   8   8nswer: 8
Answer: A
The value of (68.237)2 – (31.763)2 is : Pick:  A) 3.6474  B) 36.474  C) 364.74  D) 3647.4  E) None of these

Solution: Solution   Given expression = (a2 - b2) = (a + b)(a - b)   = (68.237 + 31.763) (68.237 - 31.763)   = (100 × 36.474)   = 3647.4. Answer 3647.4
Answer: D
The price of a mobile was increased by 40 percent. The new price was then decreased by 15 percent. A single increase of what percent is equivalent to these two successive changes?  Select:
A) 25%
B) 19%
C) 30%
D) 22.5%
E) 15%

Solution: consider base price - $100   25% increase = 1.40*100= 
1.40*100 = 140
$140   Then a 15% decrease on new price= 0.85* 140= 
0.85* 140 = 119
$119   so final price of radio - $119   therefore a 19% increase   correct option - 19%
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 answers.
A) A)Rs.200 B) B)Rs.220 C) C)Rs.250 D) D)Rs.300 E) E)Rs.350

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   But 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: C
In how many ways can live boys and three girls sit in a row such that all boys sit together? Choose the correct choice
A) 2882	B) 2880	C) 7276	D) 2786	E) 2661

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.   Required number of arrangements   = 4! * 5! = 24 * 120= 
24 * 120 = 2_880
2880.   Answer: 2880
Answer: B
When the positive integer y is divided by 11, the quotient is z and the remainder 3. When y is divided by 19, the remainder is also 3. What is the remainder when z is divided by 19?
Pick one
A) 4	B) 3	C) 2	D) 1	E) 0

Solution: Any Number which when divided by divisor d1,d2, etc. leaving same remainderrtakes the form ofK+r   where k = LCM (d1,d2)   In this case the divisors are 1119 and remainder is 3.   so LCM (11,19) = 209   So N= 209+3= 
209+3 = 212
212   Also y=d1q+3 ; which means d1q=209d1=11 therefore q=19   And ( z divided by 19)19/19 leaves remainder 0.   Answer is 0
Answer: E
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?	Pick:
A) 388	B) 3769	C) 8782	D) 828	E) 271

Solution: Let the parts be x, y and [2379 - (x + y)]   x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)   11x/10 = 23y/20 = 6z/5 = k   x = 10k/11, y = 20k/23, z = 5k/6   But x + y + z = 2379   10k/11 + 20k/23 + 5k/6 = 2379   k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5   x = [10/11 * (3 * 11 * 23 * 6)/5= 
10/11 * (3 * 11 * 23 * 6)/5 = 828
828   Hence, the first part is Rs. 828.   Answer: 828
Answer: D
If A,B is 20%,30% smaller than C then how much percentage is B greater than A? Choose the correct choice from the following choices.
A) 10% B) 11% C) 12 3/4% D) 12 1/2 % E) 13%

Solution: A = 80 %   B = 70 %   C = 100 %   A-B/A × 100 = 10/80 × 100 = 12 1/2 % greater than A   12 1/2 %)
Answer: D
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :  Choose the correct choice from the following answers:
A) 3  B) 5  C) 9  D) 11  E) 13

Solution: Solution   Let the ten's digit be x and units digit be y. Then, number = 10x + y.   Number obtained by interchanging the digits = 10y + x.   ∴ (10x + y) + (10y + x) = 11 (x + y), which is divisible by 11.   Answer 11
Answer: D
What is the 149th digit to the right of the decimal point in the decimal form of 30/33?
Choices:
A) 5 B) 6 C) 9 D) 0 E) 1

Solution: To solve ,we first have to use some long division.Long division allows us to get 30/33 in decimal form, which is 0.909090… where “90” is repeating.   We see that the 1st, 3rd, 5th digit to the right of the decimal point is a 9 and that the 2nd, 4th, 6th digit to the right of the decimal point is a 0. In other words, each odd-positioned digit is a 9, and each even-positioned digit is a 0.   Then the 149th digit to the right of the decimal point and we see that 149 is odd, then 149th digit is a 9.   Answer 9.
Answer: C
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?	Choose the correct choice:  A) 33  B) 18  C) 99  D) 787  E) 65

Solution: A:18 = 2:3   18:C = 2:5   A:18:C = 4:6:15   6/25 * 75= 
6/25 * 75 = 18
18   Answer: 18
Answer: B
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many Q grams?	Choose the correct choice from the following options: A) Q= 16 B) Q=32 C) 64 D) 128 E) 512

Solution: Weight directly proportional to 4 pi r^2   Now, 4pi is constant, so, weight is directly proportional to r^2.   When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;   (0.15)^2 * 4 proportional to 8*4, solving further   (0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (Q=32)
Answer: B
Two trains running in the same direction with a speed of 60kph and 50kph having lengths of 200m each. How long it will take the trains to completely pass each other(in seconds)?	Choose the correct choice:
A) 13.09
B) 32.17
C) 54.9
D) 112.98
E) 143.88

Solution: Relative speed of trains with respect to each other=60-50= 
60-50 = 10
10kph=2.78m/s   Distance need to be covered=200+200= 
200+200 = 400
400   Time taken to pass each other=400/2.78=143.88s   Answer: 143.88
Answer: E
A sum is divided among B, C and D in such a way that for each rupee B gets, C gets 150 paisa and D gets 50 paisa. If the share of C is RS. 40, what is the total amount? Choose the correct choice from the following answers.
A) 70
B) 75
C) 80
D) 85
E) 90

Solution: b:c:d = 100:150:100   20:30:10   30 --- 40   60 --- ? => 80   Answer:80
Answer: C
How many integers from 100 to 800, inclusive, remains the value unchanged when the digits were reversed?  Choose the correct option:
A) 50
B) 60
C) 80
D) 70
E) 90

Solution: question is asking for palindrome   first digit possibilities - 1 through 7 = 7   8 is not possible here because it would result in a number greater than 8 (i.e 808 , 818..)   second digit possibilities - 0 though 9 = 10   third digit is same as first digit   =>total possible number meeting the given conditions = 7 *10= 
7 *10 = 70
70   Answer is 70.
Answer: D
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is: Pick
A) 380 B) 395 C) 400 D) 425 E) Either (a) or (b)

Solution: Let the numbers be x and y.   Then, xy = 9375 and	x	= 15.   y   xy	=	9375   (x/y)	15   y2 = 625.   y = 25.   x = 15y = (15 x 25) = 375.   Sum of the numbers = x + y = 375 + 25= 
375 + 25 = 400
400.   ANSWER : 400
Answer: C
Set A = {1, 2, 3, 4, 5, 6, y}
Which of the following possible values for y would cause Set A to have the smallest standard deviation?	Choose the correct option.
A) 1 B) 2.5 C) 3 D) 3.5 E) 7

Solution: S3.5 is minimum or least when the number is closest to the mean of the existing numbers   Calculating mean of the rest of the numbers gives mean = (approx)3.6   So the new number should be near to the mean and only number closest to the mean is 3.5   Answer: Option 3.5
Answer: D
35% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?  Pick.
A) 4%	B) 10%	C) 96%	D) 90.12%	E) 70.77%

Solution: No of employees=100(say)   Men=35   Women=65   Men speaking french=0.6*35= 
0.6*35 = 21
21   70.77%mployees speaking french=0.4*100= 
0.4*100 = 40
40   Therefore women speaking French=40-21= 
40-21 = 19
19   And women not speaking French=65-19= 
65-19 = 46
46   % of women speaking French=46/65*100=70.77%   Answer 70.77%
Answer: E
A builder decided to build a farm house in 40days. He employed 100men in the beginning and 100 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?  Choose the correct choice from the following answers
A) 5  B) 7  C) 10  D) 15  E) 12

Solution: 200 men do the rest of the work in   40-35= 
  40-35 = 5
5days   100 men can do the rest of the work in 5*200/100= 
5*200/100 = 10
10days   Required number of days= 10-5= 
10-5 = 5
5 days   5nswer is 5
Answer: A
In how many ways can 5 boys and2 girls be arranged at a table if 2 girls are never together?	Select the correct option:
A) 257 B) 287 C) 290 D) 400 E) 480

Solution: Total ways of arranging 7 person in a circle = 6! = 720 ways   If we consider two women as one, then we have   5+1= 
  5+1 = 6
6 persons. Arranging these six persons in circle will take= 5! = 120 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 5!*2! = 240 ways   Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240= 
720 - 240 = 480
480 ways   480
Answer: E
Walking 7/6 of his usual rate, a boy reaches his school 5 min early. Find his usual time to reach the school?
Choose the correct option:  A) 22  B) 28  C) 99  D) 35  E) 66

Solution: Speed Ratio = 1:7/6 = 6:7   Time Ratio = 7:6   1 -------- 7   5 --------- ?   = 35 m   Answer:35
Answer: D
40, 45, 50, 55, 60, 75, 75, 90, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 21.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?  Choose the correct choice from the following choices:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: The average of {40, 45, 50, 55, 60, 75, 75, 90, 100, 100} is 69.   1 standard deviation below the mean is 69 - 21.2 = 47.8. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.   Answer 2.
Answer: B
How many diagonals does a polygon with 15 sides have, if one of its vertices does not connect to any diagonal? Choose the correct choice from the following choices:
A) 80
B) 90
C) 77
D) 88
E) 99

Solution: If I calculate it using the formulae, #diagonals = n (n-3)/2Each vertex sends of n-3 diagonals   n= 15-1 then 14*(14-3)/2= 
14*(14-3)/2 = 77
77   77orrect Option:77
Answer: C
What is the least value of x. So that 1894x is divisible by 3?	Choose the correct choice from the following answers:
A) 2  B) 5  C) 1  D) 6  E) 7

Solution: The sum of the digits of the number is divisible by 3, then the number is divisible by3.   1+ 8 + 9 + 4+ x= 22 +x   Least value of X may be 2   Therefore  22 +2= 
 22 +2 = 24
24 is divisible by 3.   2
Answer: A
Which of the following number is divisible by 24 ?  Choose the correct choice from the following answers:
A) 31214 B) 61212 C) 512216 D) 3125832 E) None of these

Solution: Explanation :   24 = 3 × 8 where 3 and 8 are co-prime numbers. 3 and 8 are also factors of 24. Hence   Hence if a number is divisible by 3, and 8, the number will be divisible by their product 24 also.   If a number is not divisible by 3 or 8, it is not divisible by 24   You must learn Divisibility Rules to say whether a given number is divisible by another number   without actually performing the division.   31214 is not divisible by 3 and 8 => 31214 is not divisible 24   61212 is not divisible by 8 though it is divisible by 3 => 61212 is not divisible 24   512216 is not divisible by 3 though it is divisible by 8 => 512216 is not divisible 24   3125832 is divisible by 3 and 8 => 3125832 is divisible 24. Answer : Option 3125832
Answer: D
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?	Options
A) 22
B) 25
C) 26
D) 27
E) 29

Solution: Solution   Given Data   3 positive integers   Average of a, b, and c = 22   So, a+b+c3a+b+c3 = 66 or a + b + c = 66   a ≤ b ≤ c   Median = (a + 13)   Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c   Therefore, b = a + 13   Objective To find the least value of 'c'   Theoretically, the least value of c is when c = b.   Therefore, a + (a + 13) + (a + 13) = 66 (b and c are equal and b, the median, is a + 13)   Or 3a = 40 or a = 13.33   So, b = c = 10+ 13.33= 
10+ 13.33 = 23.33
23.33   However, we know that these numbers are all integers.   Therefore, a, b, and c cannot take these values.   So, the least value for c with this constraint is NOT likely to be when c= b   Let us increment c by 1. Let c = (b + 1)   In this scenario, a + (a + 13) + (a + 14) = 66   Or 3a = 39 or a=13 The value of the numbers is an integer   If a = 13, b = 26 and c = 27   The least value for c that satisfies all these conditions is 27.   Correct answer is choice 27.
Answer: D
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. a-c is positive integer
III. (a+b+c)/3 is an integer	Choose one:
A) I
B) II
C) I and III
D) II and III
E) I, II and III

Solution: If a, b, c are consequitive positive integers and a<b<c, which of the following must be true?   1. c-a=2   2. abc is an even integer   3. (a+b+c) /3 is an integer   1.   a=a   b=a+1   c=a+2   c-a=a+2-a=2.   Correct   2. a-c is negative because a<c - false   3. (a+b+c) /3 is an integer   Again;   a=a   b=a+1   c=a+2   a+b+c=(a+a+1+a+2)=3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   Ans :I and III( + +1+ +2)= 
( + +1+ +2) = 3
3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   Ans :I and III
Answer: C
9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean? Choose the correct choice:
A) 90%
B) 85%
C) 80%
D) 75%
E) 70%

Solution: D. 75%
Answer: D
what is the least number by which 15,625 must be divided to get a number perfect square
Answers:
A) 21  B) 25  C) 24  D) 40  E) 45

Solution: 15,625/25=625   625=(25)^2   Ans-25   ANSWER:25
Answer: B
The ratio of the adjacent angles of a parallelogram is 5 : 13. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choose the most appropriate option:  A) 168°  B) 134°  C) 156°  D) 224°  E) None of these

Solution: The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 5x + 13x = 180°   Or, 18x = 180°   Or, x = 10°   Hence the angles of the parallelogram are 50° and 130°   Further it is given   We know sum of all the four angles of a quadrilateral is 360°   So, 5y + 6y + 7y + 12 y = 360°   Or, 5y + 6y + 7y + 12 y = 360°   Or, 30y = 360°   Or, y = 12°   Hence the angles of the quadrilateral are 60° , 72, 84° and 144°   Will be 50° + 84° = 134°   Answer : 134°50  + 84= 
50  + 84 = 134
134°   Answer : 134°
Answer: B
A candidate got 31% of the votes polled and he lost to his rival by 2451 votes. How many votes were cast?
Choose the correct choice from the following choices: A) 6150 B) 6250 C) 6350 D) 6450 E) 6550

Solution: Let x be the total number of votes.   0.31x + 2451 = 0.69x   0.38x = 2451   x = 2451/0.38= 
2451/0.38 = 6_450
6450   The answer is 6450.
Answer: D
Calculate the area of a triangle, if the sides are 30 cm, 21 cm and 10 cm, what is its area?	Choose the correct option.
A) 145 cm2 B) 105 cm2 C) 125 cm2 D) 115 cm2 E) 135 cm2

Solution: The triangle with sides 30 cm, 21 cm and 10 cm is right angled, where the hypotenuse is 30 cm.   Area of the triangle = 1/2 * 21 * 10= 
1/2 * 21 * 10 = 105
105 cm2   Answer: 105 cm2
Answer: B