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1675.
After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of
salary increase in the second increment was twice of that in the first increment, then the percentage of
salary increase in the first increment was
- A.
  30
- B.
  27.5
- C.
  25
- D.
  20
Correct Answer - C
Explanation
1674.
The number of all positive integers up to 500 with non-repeating digits is
- A.
- B.
- C.
- D.
Correct Answer - 378
Explanation
1673.
The midpoints of sides AB, BC, and AC in △ ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of △ ABC is 1440 sq cm, then the area, in sq cm, of △ XYZ is
- A.
- B.
- C.
- D.
Correct Answer - 90
Explanation
1672.
Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely
covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by
Vimal are in the ratio of 5 : 3. If the total cultivation area of wheat and mustard are in the ratio 11 : 9, then
the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is
- A.
  4 : 3
- B.
  7 : 9
- C.
  3 : 7
- D.
  1 : 1
Correct Answer - B
Explanation
1671.
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is
- A.
  ap + 6 = 0
- B.
  2a + k not equal to 0
- C.
  ap − 6 = 0
- D.
  kp + 12 not equal to 0
Correct Answer - B
Explanation
1670.
For any non-zero real number $x$ , let $f (x) + 2 f (\frac{1}{x}) = 3 x$ . Then, the sum of all possible values of $x$ for which $f (x) = 3$ , is
- A.
  2
- B.
  -3
- C.
  -2
- D.
  3
Correct Answer - B
Explanation
1669.
The number of distinct integer solutions $(x, y)$ of the equation $| x + y | + | x - y | = 2$ , is
- A.
- B.
- C.
- D.
Correct Answer - 8
Explanation
1668.
A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square ACEG
is
- A.
  72(2 + _/2)
- B.
  36(1 + _/2)
- C.
  72(1 + _/2)
- D.
  36(2 + _/2)
Correct Answer - D
Explanation
1667.
A certain amount of water was poured into a 300 litre container and the remaining portion of the container
was filled with milk. Then an amount of this solution was taken out from the container which was twice the
volume of water that was earlier poured into it, and water was poured to refill the container again. If the
resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the
container was
- A.
- B.
- C.
- D.
Correct Answer - 30
Explanation
1666.
Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price,
and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is
- A.
  10
- B.
  15
- C.
  20
- D.
  25
Correct Answer - A
Explanation

Previous Year Papers

1675. After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage ofsalary increase in the second increment was twice of that in the first increment, then the percentage ofsalary increase in the first increment was

1674. The number of all positive integers up to 500 with non-repeating digits is

1673. The midpoints of sides AB, BC, and AC in △ ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of △ ABC is 1440 sq cm, then the area, in sq cm, of △ XYZ is

1671. For some constant real numbers p, k and a, consider the following system of linear equations in x and y:px - 4y = 23x + ky= aA necessary condition for the system to have no solution for (x, y ), is

1670. For any non-zero real number x, let f(x)+2f(1/x)=3x. Then, the sum of all possible values of x for which f(x)=3, is

1669. The number of distinct integer solutions (x,y) of the equation |x+y|+|x−y|=2, is

1668. A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square ACEGis

1666. Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price,and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

1675.
After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of
salary increase in the second increment was twice of that in the first increment, then the percentage of
salary increase in the first increment was

1674.
The number of all positive integers up to 500 with non-repeating digits is

1673.
The midpoints of sides AB, BC, and AC in △ ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of △ ABC is 1440 sq cm, then the area, in sq cm, of △ XYZ is

1671.
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is

1670.
For any non-zero real number $x$ , let $f (x) + 2 f (\frac{1}{x}) = 3 x$ . Then, the sum of all possible values of $x$ for which $f (x) = 3$ , is

1669.
The number of distinct integer solutions $(x, y)$ of the equation $| x + y | + | x - y | = 2$ , is

1668.
A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square ACEG
is

1666.
Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price,
and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is