MU-NLPC/Calc-aqua_rat huggingface dataset:
he total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Select:	A) 55	B) 65	C) 75	D) 85	E) 95

Solution: Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.   P + C + M = 150 + P   C + M = 150   Average mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 150/2= 
150/2 = 75
75.   ANSWER:75
Answer: C
A three-digit positive integer is chosen at random. What is the probability that the product of its digits is even? Pick
A) 1/2	B) 31/36	C) 49/54	D) 7/8	E) 11/12

Solution: P(three odd digits) = 5/9*5/10*5/10 = 5/36 (first digit cannot be 0, so we have a total of 9 digits, 4 even and 5 odd).   Therefore, P(at least one even digit) = 1 - 5/36 = 31/36.   Answer 31/36.
Answer: B
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?  Answers:
A) 186 B) 167 C) 120 D) 168 E) 619

Solution: 4x 5x 6x   100 50 25   400x + 350x + 150x = 16000   x = 20   6x = 120   Answer: 120:
Answer: C
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the correct choice from the following choices.
A) 37
B) 38
C) 30
D) 77
E) 27

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer:30
Answer: C
How many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph?
Choose the correct choice from the following answers.
A) 26
B) 72
C) 25
D) 82
E) 27

Solution: Explanation:   D = 100 + 160= 
100 + 160 = 260
260   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 260/10= 
260/10 = 26
26 sec   26nswer: Option 26
Answer: A
Find all rational zeros of P(x) = x3*cubic* - 7x + 6.  Select the correct option:
A) 1,2,-3  B) 2,2,-5  C) 1,4,-7  D) 4,3,-1  E) 3,3,-8

Solution: P(x) = x3*cubic* - 7x + 6 : given   leading coefficient 1 and its factors are : +1,-1   constant term is 6 and its factors are : +1,-1,+2,-2,+3,-3,+6,-6   possible rational zeros : +1,-1,+2,-2,+3,-3,+6,-6   test : P(1) = 0, P(2) = 0 and P(-3) = 0   x = 1, x = 2 and x = -3 are the zeros of P(x).   correct answer is 1,2,-3) 1,2,-3
Answer: A
How much water must be added to 48 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre? Choose the correct choice from the following choices: A) 10 litres B) 12 litres C) 15 litres D) 18 litres E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 48 litres of milk   = (1⁄4 × 48) litres = 12 litres.   Answer 12 litres
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Select the correct option:	A) 150 meter	B) 250 meter	C) 200 meter	D) 480 meter	E) 153 meter

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 9= 
  (50/3) * 9 = 150
150 meter   150 meternswer:150 meter
Answer: A
What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon? Choices
A) 22	B) 32	C) 88	D) 29	E) 01

Solution: Explanation:   When the triangles are drawn in an octagon with vertices same as those of the octagon and having one side common to that of the octagon, the figure will appear as shown in (Fig. 1).   Now, we shall first consider the triangles having only one side AB common with octagon ABCDEFGH and having vertices common with the octagon (See Fig. 2).Such triangles are ABD, ABE, ABF and ABG i.e. 4 in number.   Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles.   This way, we have 4 triangles for each side of the octagon. Thus, there are 8 x 4 = 32 such triangles.   Answer: 32) 32
Answer: B
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is: Pick:
A) 5 % B) 12/11 % C) 2 % D) 5 5/11 % E) 10/6%

Solution: Explanation:   Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.   Selling Price (S.P.) = Rs. 5800.   Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.   Gain % =(300/5500*100)%=5 5/11 %   ANSWER:5 5/11 %
Answer: D
The product of two positive integers is 575 and their difference is 2. What is the bigger number?	Select the correct option:
A) 21 B) 23 C) 25 D) 27 E) 29

Solution: Let's use trial and error to find the two numbers.   27*25= 
27*25 = 675
675 (too high)   25*23= 
25*23 = 575
575   The answer is 25.
Answer: C
Raja and David invested in a business. They earned some profit which they divided in the ratio of 2:4. If RAM invested Rs.10, 000, the amount invested by David is:  Select the correct option:	A) Rs. 21000	B) Rs. 22000	C) Rs. 20000	D) Rs. 23000	E) Rs. 24000

Solution: Invested by David = 10000/2*4= 
10000/2*4 = 20_000
20000   ANSWER : Rs. 20000
Answer: C
Some of the people in Town L are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town L, three times as many people are tall as are tall in Town L, three times as many people are both as are both in Town L, but no one is neither. If the total number of people in Town L is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town L who are neither left-handed nor tall?	Select:
A) 23
B) 39
C) 72
D) 143
E) 199

Solution: Yes, correct answer is indeed D.   {L}={Left} + {Tall} - {Both} + {Neither};   {Y} = 3*{Left} + 3*{Tall} - 3*{Both};   Since the total number of people in Town L is four times greater than the total number of people in Town Y, then:   {Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});   {Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town L who are neither left-handed nor tall must be a multiple of 11.   Only answer choice D, is a multiple of 11: 143=11*13.   Answer: 143.
Answer: D
If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. a = 0
III. b < a
Answers:
A) I only B) II only C) III only D) I and II E) I and III

Solution: a has to equal a squared, and that only works if a is 1. There are no positive integers less than 1, so I and III are correct.   I onlynswer : I only
Answer: A
A regular 10 sided area is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?  Choose the correct choice from the following options:
A) 48 degrees  B) 54 degrees  C) 72 degrees  D) 84 degrees  E) 72 degrees

Solution: its a regular 10 sided so divide the globe by 10.   = 360/10= 
360/10 = 36
36   36 would be the angle at O.   Angles at A and B are equivalent, so   36 + 2x= 180   2x = 144   x = 72   Angles OAB and OBA will be 72 degrees each.   72 degrees
Answer: E
If p is a natural number and p! ends with w trailing zeros, then the number of zeros that (5p)! ends with will be
Choices
A) a) (p+w) trailing zeros	B) b) (5p+y) trailing zeros	C) c) (5p+5y) trailing zeros	D) d) (p+5y) trailing zeros	E) e) none of them above

Solution: Let p = 1. p! = 1! = 1, which means w= 0   (5p)! = 5! = 120, trailing zeros = 1   1 = 1 + 0 = p + w   a) (p+w) trailing zerosnswer (a) (p+w) trailing zeros).
Answer: A
841, 784, 729, 676, 625, ?  Pick.
A) 576 B) 529 C) 484 D) 441 E) 400

Solution: Explanation :   The pattern is 29^2, 28^2, 27^2, 26^2, 25^2, ...   So next number is 24^2 = 576   576nswer : Option 576
Answer: A
If a,b are positive integers and a/b=67.75 which of the following could be the value of b?  Choose one.
A) 1. 25
B) 2. 26
C) 4. 20
D) 4. 27
E) 5. 30

Solution: Given a/b = 67.75.   this is 67 and 3/4 = 271/4   Since a and b are integers we know that whatever is the value of b, it must be divisible by 4 completely(to make a an integer)   Ans:4. 20
Answer: C
Rs.1210 were divided among A,B,C so that A : B = 5 : 4 and B : C = 9 : 10.Then,C gets :
Pick one:
A) Rs.340
B) Rs.400
C) Rs.450
D) Rs.475
E) None

Solution: Solution   A : B = 5 : 4, B : C = 9 : 10 =(9x4/9) :(10x4/90 = 4 : 40/9   ∴ A : B : C = 5 : 4 : 40/9 = 45 : 36 : 40 .   Sum of ratio terms =(45+36+40)= 
(45+36+40) = 121
121   ∴ C’s share= Rs.(1210x40/121)= Rs. 400.   Answer Rs.400
Answer: B
The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?	Select the correct option
A) 2/21
B) 1/48
C) 1/98
D) 1/96
E) 1/68

Solution: 2/3 * 6/7 * 4/3 * 1/8 = 48/504 = 2/21   2/21NSWER:2/21
Answer: A
if p is number greater than 99 ,e is the probability of divisiblity of any even whole number p, and O is the probablity of any odd whole number divisible by p , w is probablity of any whole number divisible by p. Choose the correct choice from the following answers.
A) w=2e B) e=w/2 C) o=w/2 D) either (b) or (c) E) none

Solution: for eg any even whole number take e=2,   any odd whole number take o=3,   any whole number take w=6   for eg the number which is divisible by 2,3,6 is=642   so take option c;   o=w/2 which means 3=6/2 ->3=3;   ANSWER:o=w/2
Answer: C
In how many ways can the letters D, I, G, I be arranged so that the two I's are not next to each other?	Select the correct option:	A) 36	B) 48	C) 72	D) 6	E) 128

Solution: 1 6   2 I   1 G   1 T   Number of ways these letters can be arranged = 4!/2! (2! to account 2 same Is) = 12   Consider 2 Is as 1 entity and thus the number of arrangements for (II)6G = 3! =6   Total allowed cases = 12-6= 
12-6 = 6
6   6 is the correct answer.
Answer: D
If December 3rd, 1999 is a Friday, what day is January 4th, 2000?
Choose the correct choice from the following options:
A) Tuesday B) Wednesday C) Friday D) Saturday E) Sunday

Solution: There is difference of 32 days from Dec. 3rd 1999 to Jan. 4th 2000.   32/7 has a remainder of 4.   Jan. 4th is: Friday + 4 days = Tuesday   The answer is Tuesday.
Answer: A
There are 14 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?	Choose the correct choice from the following:
A) 91 B) 30 C) 45 D) 60 E) 90

Solution: 10 players are there.   two players play one game with one another.   so 14C2=14*13/2= 
14*13/2 = 91
91   SO OPTION 91 is correct
Answer: A
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 360 miles apart, at what time will the trains pass each other? Choose the correct choice.
A) 12:58pm	B) 12:49pm	C) 12:55pm	D) 1:00pm	E) 1:05pm

Solution: Train A: going from K to T   Train B: going from T to K   First I calculated how far Train A will have travelled by the time Train B starts at 12:10:   10 minutes at 240 mph    1/6*240= 
 1/6*240 = 40
40miles   They have 360-40= 
360-40 = 320
320 miles to travel to meet each other.   I found the combined rate of the two trains   Rate(12:58pm) + Rate(B)= 400mph   Divide Distance/Rate to find total time each will travel:   320/400>>> 48 Minutes to meet   12:10+48 minutes = 12:58 or 12:58pmnswer 12:58pm
Answer: A
How many four-digit integers exist such that all their digits are odd? Choices: A) 80 B) 100 C) 120 D) 125 E) 625

Solution: so last digit can be filled in 5 ways- 1,3,5,7,9   there are 5 possibilities. The answer is 5∗5*5*5=625   The correct answer is 625
Answer: E
How many numbers between 11 and 90 are divisible by 7? Choose the correct choice.
A) 7	B) 10	C) 11	D) 12	E) 13

Solution: The required numbers are 14,21,28,...........,84.   This is an A.P with a=14,d=7.   Let it contain n terms   then T =84=a+(n-1)d   =14+(n-1)7   =7+7n   7n=77 =>n=11.   ANSWER 11 11
Answer: C
Noelle walks from point A to point B at an average speed of 6 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 7 kilometers per hour?	Select:	A) 6.75	B) 7	C) 7.25	D) 7.5	E) 8.4

Solution: Let's suppose that speed while returning was xkm/h   Since the distance is same, we can apply the formula of avg speed   Avg speed= 2S1S2/S1+S2   7= 2*6*x/6+x   x= 8.4   8.4 is the answer
Answer: E
0.014×0.014= ? Choose the correct option:	A) 0.000196	B) 0.00196	C) 19.6	D) 196	E) NONE

Solution: Solution   Sum of decimals places= 6.   14×14	= 196.   = s0.014×0.014   = 0.000196   0.000196nswer 0.000196
Answer: A
The salaries of A,B,C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?  Choose the correct choice from the following choices:  A) 3 : 3 : 10  B) 10 : 11 : 20  C) 23 : 33 : 60  D) Cannot be determined  E) None of these

Solution: Let A = 2k, B = 3k and C = 5k.   A’s new salary = 115⁄100 of 2k = (115⁄100 × 2k) = 23⁄10k   B’s new salary = 110⁄100 of 3k = (110⁄100 × 3k) = 33⁄10k   23 : 33 : 60’s new salary = 120⁄100 of 5k = (120⁄100 × 5k) = 6k   ∴ New ratio = 23k⁄10 : 33k⁄10 : 6k = 23 : 33 : 60   Answer 23 : 33 : 60
Answer: C
A man can row upstream at 25 kmph and downstream at 39 kmph, and then find the speed of the man in still water?
Pick:  A) 86  B) 67  C) 30  D) 15  E) 32

Solution: US = 25   DS = 39   M = (39 + 25)/2= 
(39 + 25)/2 = 32
32   Answer: 32
Answer: E
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?  Select: A) Rs.150 B) Rs.180 C) Rs.200 D) Rs.220 E) Rs.250

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: E
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Choose the correct choice from the following answers.
A) 22  B) 20  C) 88  D) 71  E) 11

Solution: x ------- 9   (x + 10) ---- 6   x * 9 = (x + 10)6   x = 20   \Answer: 20
Answer: B
How many different positive integers exist between 10^2 and 10^3, the sum of whose digits is equal to 2?  Choose the correct choice from the following.
A) 3  B) 5  C) 6  D) 7  E) 8

Solution: 101   110   200   total no. is 3   3
Answer: A
what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?
Pick:  A) 1 or 7  B) 3 or 21  C) 4 or 28  D) 2 or 14  E) 2 or 15

Solution: since the chord length=2sqrrt(r^2-d^2)   chord length=32,r=20 then we get d=12   chord length=24,r=20 then we get d=16   then we add/subtract we get 4 or 28   ANSWER:4 or 28
Answer: C
Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
Choose the correct choice from the following answers:	A) nine hundred thirty	B) 870	C) 450	D) 330	E) 220

Solution: nine hundred thirty   New number = Last number * multiplication factor (increased by 0.5 every time) + sum factor (increased by 5 every time)   10   10 * 0.5 + 5= 
10 * 0.5 + 5 = 10
> 10   10 * 1.0 + 10= 
10 * 1.0 + 10 = 20
> 20   20 * 1.5 + 15= 
20 * 1.5 + 15 = 45
> 45   45 * 2.0 + 20= 
45 * 2.0 + 20 = 110
> 110   110 * 2.5 + 25= 
110 * 2.5 + 25 = 300
> 300   300 * 3.0 + 30= 
300 * 3.0 + 30 = 930
> 930 , desired answer
Answer: A
Two persons start running simultaneously around a circular track of length 700 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?  Select the correct option:  A) 16 seconds  B) 28 seconds  C) 49 seconds  D) 57 seconds  E) 63 seconds

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 700 / (15 + 25)5/18 = 700* 18 / 40 * 5   = 63 seconds.   Answer:63 seconds
Answer: E
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? Choose the correct choice from the following answers.
A) 12/489	B) 12/452	C) 12/455	D) 12/429	E) 12/292

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (²12/455₁)(⁴12/455₂)/¹⁵12/455₃   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)   = 12/455   Answer: 12/455
Answer: C
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?  Choose the correct choice from the following options:
A) 7 years  B) 10 years  C) 15 years  D) 20 years  E) 25 years

Solution: P(1 + R/100)5 = 2P => (1 + R/100)5 = 2   Let P(1 + R/100)n = 8P   => (1 + R/100)n = 8 = 23 = {(1 + R/100)5}3   => (1 + R/100)n = (1 + R/100)15 => n = 15 Required time = 15 years.   ANSWER:15 years
Answer: C
A man buys a cycle for Rs.1400 and sells it at a loss of 18%. What is the selling price of the cycle?  Choose the correct choice from the following answers:
A) Rs.1148  B) Rs.1160  C) Rs.1190  D) Rs.1202  E) NONE

Solution: Solution   S.P	= 82% of Rs.1400   = Rs.(82/100×1400)   Rs.1148.   Rs.1148nswer Rs.1148
Answer: A
The length of the longest rod that can fit in a cubical room of 4 m side is?	Select:
A) 3:8
B) 3:1
C) 3:0
D) 3:2
E) 3:5

Solution: 3:1   Answer:3:1
Answer: B
The ratio of men to women in the Snyder community choir is 4 to 3. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?  Choose the correct choice from the following options.
A) 27	B) 25	C) 31	D) 32	E) 34

Solution: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.   We're told that the ratio of the Men to Women in the Snyder choir is 4 to 3, so the number of men MUST be a multiple of 4 and the number of women MUST be a multiple of 3 The question asks how many WOMEN are in the SNYDER choir, so the answer MUST be a multiple of 3. We can eliminate 27nswers B,C, D and E (since they're NOT multiples of 3   27nswer 27
Answer: A
Jadeja rented a power tool from a rental shop. The rent for the tool was $13 for the first hour and $8 for each additional hour. If Jadeja paid a total of $133, excluding sales tax, to rent the tool, for how many hours did she rent it?  Choose the correct answer:	A) 14	B) 19	C) 16	D) 13	E) 12

Solution: 13 + 8n = 133   n = 15   Total time = n+1 hrs = 15+1= 
15+1 = 16
16 hrs   Answer : 16
Answer: C
Arjun started a business with Rs. 40,000 and is joined afterwards by Anoop with Rs.80, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choose the correct choice from the following answers
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Suppose Anoop joined after 3 months.   Then, 40000 * 12 = 80000 * (12 – x)   => x = 6.   ANSWER:6
Answer: D
For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/11  Choose the correct option
A) a) 12
B) b) 6
C) c) 10
D) d) 14
E) e) 32

Solution: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 26, which isn't even listed as a selectable answer.   d) 14
Answer: D
Each student is given a five-character identification code. The first three characters are selected from the numbers 0 to 9 inclusive, and the last two characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?  Answers:
A) 652,000	B) 665,000	C) 676,000	D) 683,000	E) 694,000

Solution: The number of possible codes is 10*10*10*26*26=26,000.   The answer is 676,000.
Answer: C
1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now? Choose the correct choice from the following answers:  A) 11  B) 99  C) 32  D) 44  E) 66

Solution: 1600 ---- 28 days   1600 ---- 24   1200 ---- ?   1600*24 = 1200*x   x = 32 days   Answer: 32
Answer: C
5 tables and 10 chairs were sold for 20000.15%gain for table,10%loss on chair.overall profit rs 750.the cp of table is
Choose the correct choice from the following choices.
A) 840
B) 1940
C) 2040
D) 2140
E) 3240

Solution: let cost of table is X and chair is Y.   sold price is 20000 and profit is 750 .   so cost for both is 19250.   then   first eq is 5X+10Y=19250   second eq is 5*(115/100)X + 10* (90/100)Y =20000   solve both eqations , then get X=2140   ANSWER:2140
Answer: D
The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 10 and 15. The larger of the two numbers is:	Choose the correct option:
A) 350	B) 250	C) 450	D) 500	E) 620

Solution: Explanation:   Clearly, the numbers are (30 x 10) and (30 x 15).   {\color{Blue} \therefore } Larger number = (30 x 15) = 450.   Answer: 450) 450
Answer: C
On average, the boys in the class have 12 erasers and the girls have 26 erasers. If the overall class average is 18 erasers, what is the ratio of boys to girls in the class?
Choose the correct answer:	A) 2/1	B) 3/2	C) 4/3	D) 5/4	E) 6/5

Solution: (26G + 12B) / (G+B) = 18   26G + 12B = 18(G+B)   8G=6B   B/G = 4/3   The answer is 4/3.
Answer: C
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is  Choose the correct choice from the following answers.
A) 15
B) 20
C) 18
D) 24
E) 22

Solution: son age is x then father age x+24   2(x+2)=(x+24+2)   2x+4=x+26   x=22 yrs   ANSW22R 22
Answer: E
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?	Choose the correct choice.
A) 20  B) 24  C) 28  D) 29  E) 30

Solution: Number = (35 * 12)= 
(35 * 12) = 420
420   Correct quotient= 420/21= 
420/21 = 20
20   20)
Answer: A
Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136. Pick one
A) 82
B) 93
C) 39
D) 28
E) 17

Solution: Using the elimination method the option that fits this description is 17   7-1 = 3 (unit's digit that exceeds its ten's digit by 3)   17*8= 
17*8 = 136
136 (the product of the given number and the sum of its digits is equal to 175)   answer :17
Answer: E
For what range of values of 'x' will the inequality 15x - 2/x > 1? Choose the correct choice from the following answers:	A) x > 0.4	B) x < 1/3	C) -1/3 < x < 0.4, x > 15/2	D) -1/3 < x and x< 0, x > 2/5	E) x < -1/3 and x > 2/5

Solution: In Case 1 where x > 0, I agree. I calculated x > (-1/3) and x > 2/5, and because x > 0, it must be x > 2/5.   In Case 2 where x < 0, I don't understand why you say that the range must be x > -1/3 and x < 0, since the values that satisfy the inequality 15x^2 - x - 2 < 0show that x < -1/3 and x < 2/5.   I have the same doubt. Shouldn't the answer be -1/3 < x and x< 0, x > 2/5?   ____________   The answer IS -1/3 < x and x< 0, x > 2/5.
Answer: D
Selling 1 kilogram of mangoes for Rs. 500, a shop keeper gains 5%. During an seasonal time, the shopkeeper allows a discount of 5% on the marked price. His gain/loss percent during the sale is? Choose the correct choice from the following options
A) 0.1% B) 2% C) 0.2% D) 5% E) 10%

Solution: Explanation:   Marked price = Rs. 500   C.P. = 100/105 * 500 = Rs. 476.19   Sale price = 95% of Rs. 500 = Rs. 475   Required LOSS % = .119/476.19 * 100 = 0.2%.   Answer: 0.2%
Answer: C