MU-NLPC/Calc-aqua_rat huggingface dataset:
In a group of 28 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?  Choices:
A) 7
B) 6
C) 8
D) 4
E) 3

Solution: A   7   Seven students are not taking a language. Add 7 + 10 + 4 to get 21. Then subtract 21 from the total students:   28 - 21= 
  28 - 21 = 7
7.
Answer: A
In what time will a railway train 80 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options
A) 4 sec	B) 7 sec	C) 2 sec	D) 6 sec	E) 8 sec

Solution: T = 80/36 * 18/5= 
80/36 * 18/5 = 8
8 sec   Answer:8 sec
Answer: E
In a role-play game, the attacker rolls 4 (6 sided dice) in a sword fight. If the dice add up to a prime number, score that number of strikes at opponent. If a non-prime number shows on any of the 4 die, score 1 extra strike for each non-prime number die. For a turn, the attacker scores 12, which roll did the player get?
I. 4 3 3 1
II. 3 3 3 3
III. 2 3 3 2
Answers:  A) I only  B) II only  C) III only  D) I and II only  E) I, II and III

Solution: There are only 3 possibilities to choose from, so   I. is possible (one non-prime) 4 + 3 + 3 + 1 = 11 + 1= 
11 + 1 = 12
12   II. is possible (no non-prime) 3 + 3 + 3 + 3= 12   III. is possible (2 non-prime) 2 + 3 + 3 + 2 = 10 + 2= 
10 + 2 = 12
12   Answer: I, II and III
Answer: E
70% of x is greater than 1/3rd of x by 110.what is x?
Pick one
A) 100 B) 200 C) 300 D) 350 E) 400

Solution: 7x/10-x/3=110   11x/30=110   x=300   ANSWER:300
Answer: C
Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time S, in hours, that machine B must operate? Choose the correct choice from the following.
A) 4
B) 4 2/3
C) 5 1/3
D) 6
E) 6 1/4

Solution: Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time S , in hours, that machine B must operate?   a) 4   b) 4 and 2/3   c) 5 and 1/3   d) 6   e) 6 and 1/4   To minimize the time that machine B must operate we must maximize the time machine A can operate, so make it operate 8 hours. In 8 hours machine A will produce 8*9,000=72,000 pencils, so 100,000-72,000=28,000 pencils are left to produce, which can be produced by machine B in 28,000/7,000=4 hours.   4nswer: 4.
Answer: A
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Choose the correct choice from the following options.
A) 1/38	B) 1/36	C) 1/35	D) 1/32	E) 1/31

Solution: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216= 1/36   Answer:1/36
Answer: B
Find the sum of all 2 digit numbers divisible by 3.  Choose the most appropriate option.
A) 1535 B) 1425 C) 1325 D) 1225 E) 1665

Solution: All 2 digit numbers divisible by 3 are :   12, 51, 18, 21, ..., 99.   This is an A.P. with a = 12 and d = 3.   Let it contain n terms. Then,   12 + (n - 1) x 3 = 99 or n = 30.   Therefore, Required sum = 30/2 x (12+99) = 1665.   Answer is 1665.
Answer: E
5, 10, 13, 26, 29, 58, 61, (....)  Choose the most appropriate option
A) 122 B) 125 C) 128 D) 64 E) 130

Solution: Numbers are alternatively multiplied by 2 and increased by 3   5 × 2 = 10   10 + 3= 
10 + 3 = 13
13   13 × 2= 26   26 + 3= 
26 + 3 = 29
29   29 × 2= 58   58 + 3= 
58 + 3 = 61
61   61 × 2= 122   122nswer is 122.
Answer: A
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?  Choose the correct choice from the following answers:
A) 250  B) 277  C) 255  D) 278  E) 281

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   250nswer: 250
Answer: A
Diana is painting statues. She has 3/6 of a gallon of paint remaining. Each statue requires 1/6 gallon of paint. How many statues can she paint? Select:
A) 3 B) 20 C) 28 D) 14 E) 19

Solution: number of statues=all the paint÷amount used per statue   =3/6 ÷ 1/6   =3/6*6/1= 
3/6*6/1 = 3
3/1= 
3/1 = 3
3   3nswer is 3.
Answer: A
A train covers a distance of 12 km in 10 minutes. If it takes 7 seconds to pass a telegraph post, then the length of the train is
Select:
A) 100m	B) 120m	C) 140m	D) 160m	E) 170cm

Solution: Explanation:   Speed =12/10x 60 km/hr = 72 x5/18m/sec = 20 m/sec.   Length of the train = (Speed x Time) = (20 x 7) m = 140 m   Answer: Option 140m
Answer: C
A woman spends 12% of her income in house rent, 25% of the rest on his children’s education, 20% of the rest miscellaneous causes and 10% in medical expenses. If she now posses Rs. 3659 then her income is?  Choose the correct choice from the following answers.
A) A)Rs.36999	B) B)Rs.40099	C) C)Rs.45009	D) D)Rs.69299	E) E)Rs.99899

Solution: X * (88/100) * (75/100) * (80/100) * (80/100)= 3659   X * 0.88 * 0.75 * 0.8 * 0.1 = 3659   X = 3659/0.0528   X = 69299   ANSWER:Rs.69299
Answer: D
Find the circumference and area of radius 7 cm.
Select.
A) 151 cm² B) 152 cm² C) 154 cm² D) 155 cm² E) 157 cm²

Solution: 154 cm²ircumference of circle = 2πr   = 2 × 22/7 × 7   = 44 cm   Area of circle = πr²   = 22/7 × 7 × 7 cm²   = 154 cm² ANSWER : 154 cm²
Answer: C
When (6767 +67) is divided by 68, the remainder is?	Select:	A) 58	B) 59	C) 62	D) 66	E) 67

Solution: => (67^67 + 1) is divisible by (67 + 1)   => (67^67 + 1) is divisible by 68   => (67^67+1) ÷ 68 gives a remainder of 0   => [(67^67+1) + 66] ÷ 68 gives a remainder of 66   => (67^67 + 67) ÷ 68 gives a remainder of 66   Option 66
Answer: D
A survey was sent to 95 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?  Choose the correct choice from the following options
A) 2% B) 5% C) 7% D) 28% E) 63%

Solution: case 1: (7/95)=x/100   x=7%   case 2: (9/63)=y/100   y=14%   So percent increase is =(y-x)=(14-7)= 
(14-7) = 7
7%   Answer is 7%
Answer: C
Calculate how many men are needed to finish a specific task in 25 days if it will take 30 men to complete the same task in 50 days?  Choose the correct choice from the following choices:	A) 90	B) 79	C) 60	D) 65	E) 70

Solution: men required to finish the work in 25 days = 30*50/25= 
30*50/25 = 60
60   Answer is 60
Answer: C
In how many ways 4 boys and 5 girls can be seated in a row so that they are alternate. Choose the correct answer:
A) 144	B) 288	C) 12	D) 256	E) 2880

Solution: Solution: Let the Arrangement be,   G B G B G B G B G   4 boys can be seated in 4! Ways.   Girl can be seated in 3! Ways.   Required number of ways,   = 4!*5! = 2880.   Answer: Option 2880
Answer: E
Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choose the correct answer:
A) 288 B) 320 C) 2,880 D) 3,200 E) 28,800

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 96 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. 2,880reating a proportion we have:   100/96 = 3,000/x   2,880ross multiplying gives us:   100x = 3,000 * 96   x = 30 * 96 = 2,880   2,880orrect answer is 2,880.
Answer: C
When a natural number N is successively divided by 3,4,5,6 the remainders are 7,8,9,10. What will be the sum of the remainders if the order of the division is reversed? Answers:	A) 11	B) 78	C) 44	D) 19	E) 72

Solution: 3 4 5 6   7 8 9 10   leave the top right- most number 8   start with bottom right-most number 5   10*5+9= 
10*5+9 = 59
59   59*4+8= 
59*4+8 = 244
244   244*3+7= 
244*3+7 = 739
739   this is the number required   Now, do the successive division in the reverse order   The sum of the remainders is 19   Hence, the correct option is 19
Answer: D
What least number must be subtracted from 12702 to get number exactly 99 ?	Select:  A) 49  B) 30  C) 29  D) 31  E) 32

Solution: Explanation:   Divide the given number by 99 and find the remainder. If you subtract the remainder from the given number then it is exactly divisible by 99.   99) 12702 (128   99   280   198   822   792   30   Required number is 30.   ANSWER IS 30
Answer: B
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ? Choose the correct option:
A) 4/12
B) 4/15
C) 4/10
D) 4/13
E) 4/11

Solution: P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.   P(SᴜK) = 13/52 + 4/52 - 1/52 = 4/13   Answer:4/13
Answer: D
By selling 150 mangoes, a fruit-seller gains the selling price of 15 mangoes. Find the gain percent? Select the correct option
A) 27% B) 25% C) 11% D) 85% E) 24%

Solution: SP = 11%P + g   150 SP = 150 11%P + 15 SP   135 SP = 150 11%P   135 --- 15 11%P   100 --- ? => 11%   Answer:11%
Answer: C
A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?	Choose the correct choice:	A) 2:0	B) 2:2	C) 2:3	D) 2:7	E) 2:4

Solution: Let the principal be P and rate of interest be R%.   Required ratio = [(P * R * 6)/100] / [(P * R * 9)/100] = 6PR/9PR = 6/9 = 2:3   Answer: 2:3
Answer: C
The pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly. On the surface, the pressure is close to 15 pounds per square inch. 33 feet below the surface, the pressure is 30 pounds. If 25000 pounds per sq inch can crush your bones, what depth is extremely dangerous for humans?  Choose the correct choice from the following answers
A) 55522 feet
B) 45522 feet
C) 35522 feet
D) 25522 feet
E) None

Solution: Solution:   First, model the pressure ( p ) in terms of depth ( d ) with a linear equation.   We will find the equation p = md + b   Use (0, 15) and (33, 30) to find m   m = 30 - 15/33 - 0   m = 15/33   = 0.45   p = 0.45d + b   Use (0, 15) to find b   15 = 0.45 × 0 + b   15 = b   p = 0.45d + 15   25000 = 0.45d + 15   25000 - 15 = 0.45d + 15 - 15   24985 = 0.45d   d = 24985/0.45   = 55522 feet   55522 feetnswer 55522 feet
Answer: A
Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder	Choose the correct option:
A) 1245
B) 1345
C) 1455
D) 1577
E) 1671

Solution: Let the smaller number be x. Then larger number = (x + 1395).   x + 1395 = 6x + 15   5x = 1380   x = 276   Large number = 276+1395= 
276+1395 = 1_671
1671   1671
Answer: E
A began business with 12500 and is joined afterwards by B with 75000. When did B join, if the profits at the end of the year are divided equally?
Choose one.
A) 8 months	B) 9 months	C) 10 months	D) 7 months	E) None of these

Solution: Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.   ∴ Profit ratio is 12 × 12500 : (12 – x) × 75000   or 12 : 6(12 – x)   Since profit is equally divided so   12 = 6(12 – x) or x = 10. Thus B joined after 10 months.   Answer 10 months
Answer: C
Mohit sold an article for $24000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?	Select the correct option:  A) 16000  B) 20000  C) 15000  D) 18000  E) 17000

Solution: Let the CP be $x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 20000 - 10/100(20000) = 20000 - 2000 = $21600   => 1.08x = 21600   => x = 20000   20000
Answer: B
If a is a positive integer, and if the units digit of a^2 is 1 and the units digit of (a+1)^2 is 0, what is the units digit of (a+2)^2?  Choose the correct option
A) 1.
B) 3.
C) 5.
D) 7.
E) 9.

Solution: If the units digit of a^2 is 1, then the units digit of a is either 1 or 9.   If the units digit of (a+1)^2 is 0, then the units digit of a+1 is 0.   To satisfy both conditions, the units digit of a must be 9.   Then a+2 has the units digit of 1, thus the units digit of (a+2)^2 will be 1.   The answer is 1..
Answer: A
A and B start walking towards each other at 7am at speed of 12kmph and 13kmph. They were initially 25km apart. At what time do they meet?  Pick one:
A) 8pm
B) 6am
C) 7am
D) 10am
E) 8am

Solution: Time of meeting = distance / relative speed = 25/13+12 = 25/25= 
25/25 = 1
1 hr after 7pm= 8am   Answer is 8am
Answer: E
The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is?  Choose the most appropriate option
A) 10
B) 11
C) 10.25
D) 10.15
E) 10.45

Solution: 100   5 ---- I   5   0.25 --- II   -----------   10.25%   ANSWER:10.25
Answer: C
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?	Choose the correct choice from the following options.
A) 2413 sq.m B) 1234 sq.m C) 4312 sq.m D) 2143 sq.m E) 3243 sq.m

Solution: Explanation:   Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.   2∏s = 264 and 2∏l = 352   s = 264/2∏ and l = 352/2∏   Difference between the areas = ∏ - ∏   = ∏{1762/∏∏ - 1322/∏∏}   = 1762/∏ - 1322/∏   = (176 - 132)(176 + 132)/∏   = (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m   ANSWER IS 4312 sq.m
Answer: C
If a man can cover 8 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?	Choose one
A) 108	B) 180	C) 107	D) 168	E) 122

Solution: 8 m/s = 8 * 18/5 kmph   3 hours 45 minutes = 3 3/4 hours = 15/4 hours   Distance = speed * time = 8 * 18/5 * 15/4= 
8 * 18/5 * 15/4 = 108
108 km.   108nswer: 108
Answer: A
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)? Options:
A) 1280	B) 1250	C) 1320	D) 1340	E) 1350

Solution: Speed = 5 km/hr   Time = 15 minutes = 1/4 hour   Length of the bridge = Distance Travelled by the man = Speed × Time = 5×1/4 km=5×(1/4)×1000 metre=1250 metre   Answer is 1250
Answer: B
Two pipes A and B can fill a tank in 15 min and 24 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choose the correct choice from the following answers:
A) 14 min 19 sec
B) 14 min 42 sec
C) 14 min 20 sec
D) 16 min 48 sec
E) 14 min 10 sec

Solution: :   Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/24   1/24 : 8/15 :: 1 ; x   x = 8/15 * 1 * 24 = 12 4/5 min = 12 min 48 sec.   The tank will be full in (4 min. + 12 min. 48 sec) = 16 min 48 sec.Answer: 16 min 48 sec
Answer: D
Rihanna brought home 150 pens but while packing them, she misplaced some of them. When her brother asked how many she had misplaced, she told him:
If you count in pairs, one will remain
If you count in a group of three, two will remain
If you count in a group of four, three will remain
If you count in a group of five, four will remain
If you count in a group of six, five will remain
If you count in a group of seven, nothing will remain.
How many pens do you think has she misplaced ?  Choose the correct choice from the following answers.
A) 121	B) 119	C) 79	D) 101	E) 135

Solution: 119   She has misplaced 119 pens in total.
Answer: B
In how many ways 10 examination papers be arranged so that the best and the worst papers never come together?	Select the correct option
A) 4*6!
B) 5*8!
C) 7*5!
D) 7*8!
E) 8*9!

Solution: Required number of ways = (10-2) *(10-1)! = 8*9!   Answer is 8*9!
Answer: E
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :  Choose the correct choice from the following answers:
A) 110.43  B) 120.65  C) 124.75  D) 134.56  E) 165.9

Solution: For an income of Rs.756, investment = Rs.9000   For an income of Rs., investment = = Rs.125   For a Rs.100 stock, investment = Rs.125.   Market value of Rs. 100 stock = = Rs. 124.75   124.75
Answer: C
A starts business with Rs. 35,000 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?  Choose one
A) 22378
B) 279889
C) 2788
D) 9000
E) 2882

Solution: Explanation:   Ratio in which profit is to be divided = 2 : 3   Assume that B's contribution to the capital = b   ⇒ 3500 × 12 : b × 7 = 2 : 3   ⇒ 3500 × 12/7 b = 2/3   ⇒ b = (3500 × 12 × 3)/(2 × 7) = 500 × 6 × 3 = 9000   Answer: 9000
Answer: D
Amar, Bhavan and Chetan divide an amount of Rs. 5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs. 400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?  Choose the correct choice from the following answers:
A) 2 : 5 : 6
B) 2 : 5 : 5
C) 2 : 5 : 4
D) 2 : 5 : 9
E) 2 : 5 : 1

Solution: Let the shares of Amar, Bhavan and Chetan be Rs. 3x, Rs. 6x and Rs. 5x respectively.   3x + 6x + 5x = 5600 => 14x = 5600 => x = 400.   Required ratio = 3x - 400 : 6x - 400 : 5x - 400   = 3x - x : 6x - x : 5x - x   = 2x : 5x : 4x => 2 : 5 : 4   Answer: 2 : 5 : 4
Answer: C
By selling an article at Rs.400, a profit of 60% is made. Find its cost price?	Choose the correct choice from the following answers:
A) 228
B) 267
C) 287
D) 250
E) 811

Solution: SP = 400   CP = (SP)*[100/(100+P)]   = 400 * [100/(100+60)]   = 400 * [100/160] = Rs.250   Answer: 250
Answer: D
If 4^k + 4^k = (4^9)^(4^9) - 4^k, then k = ?	Pick one
A) 11/3	B) 4^11 - 1	C) 242	D) 3^10	E) 3^11 - 1

Solution: 4^k + 4^k = (4^9)^4^9 -4^k   4*(4^k) = 4^ (16 * 4^9 ) = 4^(4^2 * 4^9) = 4(4^11)   4^k+1 = 4^(4^11)   So k+1 = 4^11   So k = 4^11 -1   Answer is 4^11 - 1
Answer: B
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years). Answers:
A) 8, 20, 28 B) 16, 28, 36 C) 20, 35, 45 D) 33,42,43 E) None of these

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 56   20x = 80   x = 4.   Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.   ANSWER:16, 28, 36
Answer: B
What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?
Select:	A) 264	B) 259	C) 269	D) 270	E) 282

Solution: LCM(8,11,24)=24x11=264   So the least divisible number is 264, and the number we are looking for is 259.   Answer is 259
Answer: B
If the cost price of 19 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?	Select the correct option:
A) 18.75% loss B) 18.75% profit C) 33.33 % loss D) 30.33% loss E) None of these

Solution: Explanation :   Let Cost price of 1 article be Re.1.   Therefore, Cost price of 19 articles = Rs. 19.   Selling price of 16 articles = Rs. 19   Therefore, Selling price of 19 articles is :-   =>19/16Ã—19   =>22.56.   Therefore, Profit = Selling price - Cost price.   =>22.56âˆ’19=3.56.   Hence, the percentage of profit = profit x 100/C.P.   =>3.56/19Ã—100.   =>18.75% Profit.   Answer : 18.75% profit
Answer: B
When 242 is divided by a certain divisor the remainder obtained is 4. When 698 is divided by the same divisor the remainder obtained is 8. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 7. What is the value of the divisor?  Choose the correct choice from the following:  A) 5  B) 17  C) 13  D) 23  E) None of these

Solution: let that divisor be x   since remainder is 4 or 8 it means divisor is greater than 8.   now  242-4= 
 242-4 = 238
238=kx (k is an integer and 234 is divisble by x)   similarly  698-8= 
 698-8 = 690
690= lx (l is an integer and 689 is divisible by x)   adding both 698 and 242   = (238+690)+4+8   =x(k+l) + 12   when we divide this number by x then remainder will be equal to remainder of (12 divided by x) = 7 hence x = 12-7= 
12-7 = 5
5   hence 5
Answer: A
Two boys starts from the same place walking at the rate of 5.3 kmph and 5.6 kmph respectively in the same direction. What time will they take to be 10.5 km apart?
Choose the most appropriate option:
A) 32 B) 36 C) 39 D) 38 E) 35

Solution: 35xplanation:   Relative speed = 5.6 - 5.3= 
5.6 - 5.3 = 0.3
0.3 kmph (because they walk in the same direction)   distance= 10.5 km   time = distance / speed=10.5/0.3= 
10.5/0.3 = 35
35 hr   Answer :35
Answer: E
In a division sum, the remainder is 0. A student mistook the divisor by 12 instead of 21 and obtained 35 as quotient.What is the correct quotient ?  Choose the correct choice from the following answers
A) 13  B) 16  C) 18  D) 20  E) 22

Solution: Number =(12*35)=270.   correct quotient =420/21= 
420/21 = 20
20.   Answer is 20
Answer: D
01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?  Choose the correct answer: A) Wednesday B) Sunday C) Friday D) Tuesday E) saturday

Solution: Given that January 1, 2007 was Monday.   Odd days in 2007 = 1 (we have taken the complete year 2007 because we need to find out the odd days from 01-Jan-2007 to 31-Tuesdayec-2007, that is the whole year 2007)   Hence January 1, 2008 = (Monday + 1 Odd day) = Tuesday   Answer: Option Tuesday
Answer: D
In a class of students, 2/3 of the number of girls is equal to 1/4 of the total number of students. What is the ratio of boys to girls in the class?
Choose the correct choice from the following answers.
A) 1/3 B) 2/3 C) 4/3 D) 5/3 E) 7/3

Solution: (2/3)G=(1/4)(B+G)   8G=3B+3G   5G=3B   B/G=5/3.   The answer is 5/3.
Answer: D
The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > 0 and y > x?	Choices:
A) 1/8	B) 1/6	C) 3/8	D) 1/2	E) 3/4

Solution: The line y=x divides the circle into two equal areas.   All the points above the line y=x satisfy the condition that y > x.   All the points above the x-axis satisfy the condition that y > 0.   The intersection of these two areas is 3/8 of the circle.   The answer is 3/8.
Answer: C
The side of a square is increased by 20% then how much % does its area increases? Pick:
A) 52.65
B) 56.25
C) 44
D) 42.75
E) 52.75

Solution: a = 100 a2 = 10000   a = 120 a2 = 14400   ----------------   10000 --------- 4400   100 -------? => 44 %   ANSWER: 44
Answer: C
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?	Pick
A) 6 B) 5 C) 5.5 D) 7 E) 8

Solution: B's 10 day's work = ( 1 x 10 ) = 2 .   15 3   Remaining work = ( 1 - 2 ) = 1 .   3 3   Now, 1 work is done by A in 1 day.   18   Therefore 1 work is done by 6 in ( 18 x 1 ) = 6 days.
Answer: A
The price of 2 sarees and 4 shirts is 16000. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall one have to pay? Choices:  A) 2,400  B) 4,800  C) 1,200  D) Cannot be determined  E) None of these

Solution: Let the price of one saree and one shirt be x and y respectively.   Then, 2x + 4y = 1600   or, x + 2y = 800 ... (i)   Also, x + 6y = 1600 ... (ii)   Solving equations (i) and (ii), we get   4y = 800 or,y = 200   ∴ cost of 12 shirts = 12 × 200 = 2400   2,400nswer 2,400
Answer: A