1. A number 'N' is a 3 digit positive number. If 'X' is its hundredth digit & 'Y' is its units digit then the number 'N- 100X-Y ' will be divisible by which one of the following number.
a)3 b) 4 c) 5 d) 7
2. Given an equilateral triangle PQR, with PR has the base of the triangle.... and a line ST was drawn parallel to PQ such that point S is on the base PR and T on QR so that a triangle STR is formed......and the triangle STR is shaded . Then it was given that... if the area of the shaded region is 1/9 the area of equilateral triangle PQR. Find the ratio QT/TR ?
3. Mary earns a monthly salary of Rs.20,000. She bought a TV ..... and 40% of the remaining money was invested in bank for 6% annual simple interest and remaining 10% for simple interest for 1 year. If the total amount received by bank per one year is 1250. What was the cost of that TV?
Till December 28
1. Find the number of numbers which has both square root and cube root between 1 and 2000.
Ans: 3
2. A group of 1 professor and 3 students have to be made from 4 professor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40
Ans: C
3. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
Ans: C
4. Given x is the principal amount deposited at 6% and y is the principal amount deposited at 10%. If y=3/4x
Col A: Interest for Rs. 10000 invested at 6%.
Col B: Interest for Rs. y invested at 10%
Ans: B
5. A man sells 2 houses, one at 20% loss on the purchase price and other at 20 % profit on the purchase price. If the selling price of both is Rs.192000 then what is the difference between the sum of the two purchase price and 384000.?
6. In a rectangular co-ordinate system point ( 5,5) is equidistant from pt (x,0) and pt (y,0)
cola : x intercept
col b: y intercept
Ans: D
7. Given 'x' is an integer, when this 'x' is divided by 5 remainder is 3.
Col a: x
Col b: 8
Ans: D
Till December 27
1. x < y < z
Col a: xy
Col b: yz
Ans: D
2. Col A: A triangle was given which was a right angled triangle and some portion of it was cut( like a portion of it as another triangle). Its side was given has 6.Then the area of the cut portion is
Col B: 18
3. Given -14, -11, -7 , 9, 10,13.... is the series
I. Median is greater than mean
II. S.D is greater than range
III. Mean is greater than median
A.1 only
B. 1 and 2 only
C.1,2 an 3 only
D. None of these
Till December 26
1. Square root of [(2^4 ) * (3^8)] is
2. Col A: [(2+ sqrt(3)) / (2 - sqrt(3)]^3
Col B: (10^6 / 3^6)
3. Col A: 1+ 1/2 - 1/4 + 1/8 - 1/16
Col B: 2(1-1/2+1/4-1/8+1/16-1/32)
4. Given two rectangular solids. If smaller one has edges of 80% of the larger ones then
Col A: the ratio of smaller solid to the bigger is
Col B: 66/200
Till December 25
1. Col a: |-x| - |-2|
Col b: |x-2|
2. Given x>100 rounded off value of
2-1/x
--------- is
2+2/x
a. 2
b.1
c.3
4.5
Ans: b
3. Mary earns a monthly salary of Rs.20,000. She bought a TV ..... and 40% of the remaining money was invested in bank for 6% annual simple interest and remaining 10% for simple interest for 1 year. If the total amount received by bank per one year is 1250. What was the cost of that TV?
4. Col a : x^ -x
Col b: 1/ (x^ -x)
Ans : D
5. If a square is inscribed inside in a circle of radius r. Then find the perimeter of the square is...
6. Given Line 1 with slope 'l' : 5x-y-3=0
and Line 2 with slope m : 5x+y+3=0
Col a: 'l"
Col b : m
7. If n is an odd positive integer then n^2 - 1 is a multiple of....
a. 5
b. 8
c. 10
d. 7
Till December 24
1. A right triangle AEC with AE=EC=6 (AE & EC are base & height). B is a point on the hypotenuse AC and D is a point on EC. BD is joined.
Col A: area of quadrilateral AEDB
Col B: 18
2. If surface area of a cube is 36. Then Volume of the cube is?
3. Given Points (-5,-7) and (3,-4) lie on the line, if point (x,13) lies on the same line, find x?
4. Out of 100 people 40 liked cereal A, 38 liked cereal B. Some people liked both and twice the number who liked it did not liked either of them. Find the number of people who liked the both?
A. 15
B. 11
C. 32
D. 22
E. 14
Ans: 22
5. Given x+y=43 and x and y are positive primes.
Col a: xy
Col b: 86
Ans:B
6.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
7. A and B are independent events, p(A)=0.6 and p(B)=0.8.
Col a : probability of happening event A or B is
Col b : 0.92
Ans: C
8. When 't' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 't'?
Ans:19
Till December 21
1. Col a : | -2x + 1 |
Col b : |-2x | + 1
Ans: D
2. A man sells 2 cars(which are of same cost) , one at 20% loss on the purchase price and other at 20 % profit on the purchase price. If the selling price of both is Rs.192000 then whats the difference between the sum of the two purchase price(c.p) and 384000.
3. Perimeter of square is less than the perimeter of the triangle.
Col a : Ratio of side of square upon the side of a triangle
Col b : 3/4
Ans: D
4. Given ax + by = c is a straight ine and 0 < a < b < c
Col a :x intercept
Col b :y intercept
Ans: A
5. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
Ans: C
6. P = (n)(n+1)(n+2)(n+3) where n is a positive integer
Col a : Remainder when P is divided by 3
Col b : 1
Ans: B
7. Find the number of numbers which has both square root and cube root between 1 and 2000
8. How many rectangular cuboids are required to form a cube with least possible dimensions when the rectangle cuboid is of dimensions 7X5X3.
9. If ak = (1/k) - (1/k-1); then find a4+a5+a6+a7+a8+a9=?
Ans: 6
10. If the circumference of a circle 'C' is equal to perimeter of a square 'S' then
Col A: area of a square 'S'
Col B: area of circle 'C'
11. If |s|=r
Col A: s
Col B: r
Ans: D
12. Col A: sqrt( 2^4*3^8)
Col B: sqrt(2^2*3^4)
13. Col A : 7^8
Col B : 8^7
Ans: A
Till December 20
1. A line y = mx + b on the xy-coordinate makes a y-intercept which is twice the x-intercept.
Col A: m
Col B: -2
Ans: C
2. Col A: 1/ (0.01)^-10
Col B: 1/10^-20
Ans: B
3. Col A: (10^18 - 10^16)/9
Col B: 11(10^16)
4. A right triangle AEC with AE=EC=6 (AE & EC are base & height). B is a point on the hypotenuse AC and D is a point on EC. BD is joined.
Col A: area of quadrilateral AEDB
Col B: 18
5. 1/ (1/6+1/6+1/6) = ?
Ans: 2
6. In how many ways can 1 professor and 5 students can be taken from 4 professors and 10 students.
Ans: 4c1 * 10c5
7. If 't' is ten's digit and 'u' is unit digit and 'N' is an integer such that 624<685. Which of the following is divisible by 3.
a)t+u
b)tu
c) ..... etc.
8. Given x is the principal amount deposited at 6% and y is the principal amount deposited at 10%. If y=3/4x
Col A: Interest for Rs. 10000 invested at 6%.
Col B: Interest for Rs. y invested at 10%
Ans: B
9. Given -1 < x < 0.
If 1, -1, x, x^2, x^3 is the series. Find median?
Ans: x^3
10. Find the number of numbers which has both square root and cube root between 1 and 2000
11. n is a integer, then which of these is an odd number
I. n+3
II. n^2+4
III. n^3+5
A. none
B. 1 only
C. 2 only
D. 3 only
E. 1 and 3 only
Ans: A
2. If surface area of a cube is 36. Then Volume of the cube is?
13. If (2)^n / (2)^3 = 8 then n = ?
Ans: n = 6
4. Given a rhombus... with its side d1 = 24, and area = somevalue(XXX). Find d2?
15. A person buys two items of the same kind. If he sells one at 25% of profit and other at 25% of loss then what is the price of the item?
.. question is something like this....
16. If n is positive and ab=1
Col A:a^n
Col B:b^n
Ans: D
17. (33 1/3)% of (40) / (100)% of (160) = X % of 800. Then X= ?
18. Col a: 1+1/2-1/4+1/8-1/16+1/32
Col b: 2(1-1/2+1/4-1/8+1/16-1/32)
19. Find the percent increase in area of a rectangle, if length is increased by 10% and breadth is decreased by 5% .
20. In the xy plane, if x-intercept is c and y-intercept is r. Whats is the slope of that line?
Ans: -r/c
Till December 19
1. 1 / (1/6+1/6+1/6 ) = ?
Ans: 2
2. Col a: (0.54)^5(0.54)^4
Col b: (0.54)^10
3. Given x is a positive integer y=2(x+1)+1
I.y is a +ve integer
II y is an odd number
III. y is a multiple of 3
Which of the above is true?
Ans: I & II are true
4. If Perimeter of circle is equal to perimeter of square then find ratio of areas?
5. Find the number of numbers which has both square root and cube root between 1 and 1000 .
Ans: 3
6. 2, x, 7 are in Arithmetic progression.... then valve of x is?
Ans: 4.5
7. Sqrt(2^4* 3^6) = ?
8. If 10000 @ x% interest and 8000 @ y% interest are given and x=3/4 * y then which gives more interest in a year?
Ans: 'y' gives more interest
9. Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Ans: 37.5 miles
10. When a number is multiplied by 13,it will become greater to 105 by an amount with which it is lesser to105 by now.what is the number?
Ans: 15
11. Guru's draw has 14 blue socks and 14 black socks. How many socks must be taken to get a pair of socks of the same color?
a. 14
b. 15
c. 13
d. 16
Ans: b
12. Which of the following is a parallelogram:-
(a)130,50,130,50(angle in deg)
(b)120,30,130,20
(c)90,90,90,90
(d)a & c
Ans: d
Till December 18
1. Given Points (-2,3) and (3,-4) lie on the line, if point (x,13) lies on the same line, find x?
2. Out of 100 people 40 liked cereal A, 38 liked cereal B. Some people liked both and twice the number who liked it did not liked either of them. Find the number of people who liked the both?
A. 15
B. 11
C. 32
D. 22
E. 14
Ans: D
3. |X-3|<5
Col A: X
Col B: -8
Ans: A
4. Given a set say X = {1,3,7,4,8,9,0}
Col A : How many 5 digit numbers can be formed using the set such tht each digit can be used only once in a number.
Col B : 7*6*5*4*3
Ans: B
5. In a group there are 4 professionals and 5 students. If a group is formed of 3 students and 1 professionals, then....
Col A : No. of ways in which group can be formed.
Col B : 40
Ans : C
6. Col a: 1/2 - 1/4 + 1/8 - 1/16
Col b: 2(1/2 + 1/4 - 1/8 +1/16 - 1/32)
Ans: B
7. ( 33 1/2) of (40)% of (240) is (x)% of 160. Find x?
Ans: 20%
8. If -1 < x < 0 then the median for x, -1, 1, x^2, x^3
Ans: x^3
Till December 17
1. If there are 3 hooks and 5 pictures. Then find the numbers of ways to select 3 picture combinations for each hook (given: repetitions is not allowed).
2. Col A: (0.2)^-1
Col B: (0.1)^-2
3. Anu's monthly salary is Rs.20,000. She bought a TV ..... and 40% of the remaining money was invested in bank for 6% annual simple interest and remaining 10% for simple interest for 1 year. If the total amount received by bank per one year is 1250. What was the cost of that TV?
4. Balls are distributed one at a time, into six baskets.The 1st ball goes into basket one,the 2nd into basket two,and soon. If this is repeated....then 74th ball goes into which basket?
A. 3
B. 4
C. 5
D. 6
E. 2
5. Given two rectangular solids. If smaller one has edges of 80% of the larger ones, then ratio of smaller solid to bigger is?
6. The inside dimensions of a rectangular wooden box are 6*8*10. A cylindrical canister is to be placed inside the box so that it stands upstraight when closed box rests on one of its six faces. Of all such canisters that could be used , What is the radius of one that has maximum volume?
A. 3
B. 4
C. 5
D. 6
E. 8
7. If 7n is a multiple of 4 and 7n lies between 45 to75 then n is?
8. Given x+y=43 and x and y are positive primes.
Col a: xy
Col b: 86
9. If pq!=0 then (p+q)^2 p^2+q^2 = ?
10.Given x < y < z
Col A: xy
Col B: yz
11. Find the number of numbers which has both square root and cube root between 1 and 2000
12. Col A: n^3(n-1) / n
Col B: n^3(n+1)/n
13. Which pair have their Arithmetic mean and median equal
l. x,x+1,x+2,x+3,x+4
II. x,2x,3x,4x,5x
III. 1/x,2/x,3/x,4/x,5/x
14. Given xy is not equal to 0
(x)^-1 - (y)^-1 = (xy)^-1
Col a: x-y
Col b: 1
15. A semicircle was given. If the end the angles formed by lines from end points of diameter to the circumference was given 90 and the angle between one of the chords and diameter was 'x'.
Col a :x
Col b :45
16. In a group of 100 people, if 20% weighed 60 kg.... 45% weighed 70 kg.. and remaining weighed 50 kg. Find the mean weight of the group.
17. If 252 ^ 5 is divisible by 6 ^ n then what is the highest possible value of n?
18. 3 negative numbers followed by 0 and followed by 3 positive numbers
e.g: -12, -14, -7 , 0, 4, 2, 8
I. Median is greater than mean
II S.D is greater that mean
III.S.D is greater than median
A. Only I is true
B. Only II .....etc
19. Find the value of 1/{(1/6)+(1/6)+(1/6)}
20. Compare
Col A: ((5^20)-(5^19))/20
Col B: 5^18
21. Compare
Col A: (x)^-x
Col B: (-x)^x
22. A right triangle was given with base and height as 6 cm AB base..BC hypotenuse...CA height... If a line was drawn from a point E on CA to a point F on BC.
Col a :Area of ABC
Col b: Area of quadrilateral ABFE
23. If circumference of square S is equal to circumference of Circle C with daimeter 'd' then what is the ratio of their areas?
Till December 14
1. Find the number of numbers which has both square root and cube root between 1 and 2000 .
2. Find the percent increase in area of a rectangle, if length is increased by 10% and breadth is decreased by 5% .
3. k-3 is a multiple of 5 and k+2 is a multiple of 2 find k^2.
4. Given -1<0.
If 1, -1, x, x^2, x^3 is the series. Find median?
Ans: x^3
5. If Slope of line 'L' is 2 , then find the slope of line M.. which is perpendicular to the line L.
Col a : m
Col b : 2
Ans: B
Till December 13
1. If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'n' is?
b)8
c)12
d)15
e)17
Ans: B
2. x<1
Col A : x/y
Col B : x+y
Ans: D
3. A and B are independent events, p(A)=0.6 and p(B)=0.8.
Col a : probability of happening event A or B is
Col b : 0.92
Ans: C
4. Col a: 1+1/2-1/4+1/8-1/16+1/32
Col b: 2(1-1/2+1/4-1/8+1/16-1/32)
5. 1cake +1pie=11.25 and 4cakes+5pie=50
Col a: cost of cake
Col b: cost of pie
Ans: A
6. What is the value of 'n' when 252^5 is divided by 6^n.
Ans : 10
Till December 12
1. If c=25/3 +16/7 then c lies in between.
a. 6<7
b. 7<8
c. 8<9
d. 9<10
e. <10<11
Ans: e
2. If x+2y =2; and(x+y)^2=9, which of the following is the possible value for y?
a) -8
b) -5
c) -3/2
d) 3/2
e) 5
Ans: e
Till December 11
1. If Y+3 is a multiple of 5 and Y-5 is a multiple of 3,then What is the multiple of y^2?
2. Given numbers -17, -13, -9, 7, 14,19. Find range, median, standard deviation?
3. Given a number line with numbers 6/32, 6/19, 9/32. Find the greatest number?
Ans : 6/19
4. x=0.01
Col a: square root x
Col b: 1/x
5. From even numbers between 1 to 9 two different numbers are chosen at random. What is probability that their sum will be 8.
a)1/2
b)1/4
c)1/6
6. Given pq not equal to zero
Col a : (p+q)^2
Col b :p^2+q^2
Ans: D
7. Given series a1,a2, .......,ar, ak-1, ak (here 1,2,r,k,k-1 are suffix) and a1=3, ak=ak- 1 + 4. Find a20?
Ans: 79
8. There are 43 persons in a group. 'D' is the shortest person in height among all 43 persons and 'E' is the tallest person among all 43 persons.
Cola :range of all 43 persons
Colb :range of only the two persons(D & E).
Ans : C
9. (33 1/2)% of (40) / (100)% of (160) = X % of 800. Then X= ?
Till December 6
1. Given there are 50 numbers, if the average of the first 25 numbers is 16 ,next 10 numbers is 15 and the last set is 20. What is the average of the entire set ?
Ans: 17
2. /X-3/<5
Col A: X
Col B: -8
Ans: A
3. Given Set={1,3,4,5,7,8,9}
Col a: number of ways in which 5 digit number can be formed
Col b: 7*6*5*4*3
Ans: A
4. A number divided by 5 leaves a reminder 3 and when divided by 7 leaves a reminder 4
a)8
b)11
c)18
d)46
e)52
Ans: C
5. If x<0, then the median for x, -1, 1, x^2, x^3 is
Ans: -1
6.0 < a < b < c; ax+by=c;
Col a: x intercept
Col b: y intercept
Ans: A
7. Col a: 1/2 - 1/4 + 1/8 - 1/16
Col b:2(1/2 + 1/4 - 1/8 +1/16 - 1/32)
Ans: B
8. A line passing through (5,5) touches x-axis and y-axis at (x,0) and (0,y) respectively.
Col a:x
Col b:y
Ans: D
9. Of the following numbers which of them has highest Standard Deviation?
1. 25,26,27,28,29,30
2. 28,28,28,28,28,28
3. 23,24,25,26,26,26
10. Col A : sqrt(26)
Col B : sqrt(24) + 1
Ans: B
Till December 5
1. When 't' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 't'?
Ans:19
2. x=!0
Col a : x^-x
Col b : 1/(x^-x)
3. Col a : (10^18-10^16)/9
Col b : 11
Ans: A
4.Col A : 0.01^-2
Col B : 10^-20
Ans : A
Till December 4
1.From even numbers between 1 to 9 two different numbers are chosen at random. What is probability that their sum will be 8.
a)1/2
b)1/4
c)1/6
Ans: c
2.A person saved $2 on first day, $4 on second day and $6 on third day and so on.... Find the total amount saved in the month of june.
Ans: $930
Till December 3
1. x^2, x^3, x, -1, 1 are the 5 given no. Find the median if x<-1.
Ans: -1
2. If A's speed is 50 km/h and B's speed is 55 km/h. If A covers distance in 5 hours, how much time B will take to cover the same distance.
Ans: 4.5 hrs
3. What is the value of 'n', if 254^5 is divisible by 6^n?
4. |s|
-------
sqroot of r^2.
Col A.......s
Col B.......r
Ans: D
5. In a group there are 4 professionals and 5 students. If a group is formed of 3 students and 1 professionals, then....
Col A : No. of ways in which group can be formed.
Col B : 40
Ans: C
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