Ace of Pace Sample Paper
of paceANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / CHURCHGATE / NERUL / POWAI
Time : 2 hrs
ACE OF PACE SAMPLE TEST PAPER
Max.Marks: 150
Marking Scheme: Each question carries +3 for correct answer. There is no negative marking in the paper.
1.
If 562 – 512 = 5p, then p is equal is (A) 107 (B) 106
(C) 105
(D) 104
2.
If x and y are positive with x – y = 2 and xy = 24 then (A)
1 x
1 is equal to y
(D)
1 12
(B)
5 12
(C)
1 6
25 6
3.
If x = 2, y = 3, then xx + yy is equal to (A) 30 (B) 31
(C) 33
(D) 37
4.
If x = 2, y = 1 and z = -3, then x3 + y3 + z3 – 3xyz is equal to (A) 0 (B) 2 (C) 6 If x (A) 0
(D) 8
5.
1 x 2
2
1 x 2
, then x is equal to (B) 1 (C) 2 (D) None of these
6.
The quadratic equation whose roots are (A) x –
2
7 and
7
0
(B) x – 7 = 0
2
7 is (C) x + 7
2
0
(D) x2 + 7 = 0
7.
A man sold two horses for Rs. 400 each. He gained 5 % on one and lost 5 % on the other, which of the following statements is true? 1 1 (A) Gains % (B) Loses % 4 4 (C) Neither gains nor loses (D) Incomplete information A corporation declares an annual dividend of 6% Ravi owns 325 shares (par value Rs. 75). The dividend received by Ravi is. (A) Rs. 1463.75 (B) 1462.75 (C) 1462.50 (D) Rs. 1461.70 In this figure, AB || CD,
A
8.
9.
EFD is equal to
C D 30o
60o B F
E
(A) 20
o
(B) 25o
(C) 30o
(D) 35o
10.
The two numbers are such that their product is equal to their sum but the numbers are different. The numbers are (A) 12, 14 (B) 11, 11 (C) 2, 2 (D) 1.1, 11 The sides AB, BC, CA of a right angled triangle are 17, 15, 8 respectively; the value of tan A. sec B is equal to 8 17 15 17 (A) (B) (C) (D) 17 8 17 15
11.
12.
tan is not defined when (A) 0o (B)
is equal to /4
(C)
/6
(D)
/2
13.
If the diameter of the circle is increased by 200 percent its area is increased by (A) 100% (B) 200% (C) 300% (D) 800% If the area of an equilateral triangle is 64 3 cm2, then the side of the triangle is (A) 12 cm (B) 14 cm (C) 16 cm (D) 18 cm In the given
Time : 2 hrs
ACE OF PACE SAMPLE TEST PAPER
Max.Marks: 150
Marking Scheme: Each question carries +3 for correct answer. There is no negative marking in the paper.
1.
If 562 – 512 = 5p, then p is equal is (A) 107 (B) 106
(C) 105
(D) 104
2.
If x and y are positive with x – y = 2 and xy = 24 then (A)
1 x
1 is equal to y
(D)
1 12
(B)
5 12
(C)
1 6
25 6
3.
If x = 2, y = 3, then xx + yy is equal to (A) 30 (B) 31
(C) 33
(D) 37
4.
If x = 2, y = 1 and z = -3, then x3 + y3 + z3 – 3xyz is equal to (A) 0 (B) 2 (C) 6 If x (A) 0
(D) 8
5.
1 x 2
2
1 x 2
, then x is equal to (B) 1 (C) 2 (D) None of these
6.
The quadratic equation whose roots are (A) x –
2
7 and
7
0
(B) x – 7 = 0
2
7 is (C) x + 7
2
0
(D) x2 + 7 = 0
7.
A man sold two horses for Rs. 400 each. He gained 5 % on one and lost 5 % on the other, which of the following statements is true? 1 1 (A) Gains % (B) Loses % 4 4 (C) Neither gains nor loses (D) Incomplete information A corporation declares an annual dividend of 6% Ravi owns 325 shares (par value Rs. 75). The dividend received by Ravi is. (A) Rs. 1463.75 (B) 1462.75 (C) 1462.50 (D) Rs. 1461.70 In this figure, AB || CD,
A
8.
9.
EFD is equal to
C D 30o
60o B F
E
(A) 20
o
(B) 25o
(C) 30o
(D) 35o
10.
The two numbers are such that their product is equal to their sum but the numbers are different. The numbers are (A) 12, 14 (B) 11, 11 (C) 2, 2 (D) 1.1, 11 The sides AB, BC, CA of a right angled triangle are 17, 15, 8 respectively; the value of tan A. sec B is equal to 8 17 15 17 (A) (B) (C) (D) 17 8 17 15
11.
12.
tan is not defined when (A) 0o (B)
is equal to /4
(C)
/6
(D)
/2
13.
If the diameter of the circle is increased by 200 percent its area is increased by (A) 100% (B) 200% (C) 300% (D) 800% If the area of an equilateral triangle is 64 3 cm2, then the side of the triangle is (A) 12 cm (B) 14 cm (C) 16 cm (D) 18 cm In the given