# The Mega Test 02/ Mathematics

60 Questions | Total Attempts: 17  Settings  • 1.
The height of two towers is 150 m and 136 m respectively. If the distance between them is 48 m, find the distance between their tops.
• A.

48 m

• B.

50 m

• C.

55 m

• D.

60 m

• 2.
The diagonals of a rhombus are 24 m and 10 m. find the perimeter.
• A.

46 m

• B.

48 m

• C.

50 m

• D.

52 m

• 3.
Find the perimeter of the rectangle whose length is 24 cm and diagonal is 26 cm.
• A.

50 cm

• B.

56 cm

• C.

62 cm

• D.

68 cm

• 4.
A tree broke from a point but did not separate. Its top touched the ground at a distance of 24 m from its base. If the point where it broke is at the height of 7 m from the ground, what is the total height of the tree?
• A.

26 m

• B.

29 m

• C.

32 m

• D.

36 m

• 5.
One of the diagonals of the rhombus is 3 cm and each side is 2.5 cm. Find the length of the other diagonal of the rhombus.
• A.

3 cm

• B.

4 cm

• C.

5 cm

• D.

5.5 cm

• 6.
Find area of the triangle
• A.

4

• B.

8

• C.

16

• D.

36

• 7.
The factors of 4y– 12y + 9 is:
• A.

(2y+3)2

• B.

(2y-3)2

• C.

(2y-3)(2y+3)

• D.

None of the above

• 8.
The factors of 49p2 – 36 are:
• A.

(7p-6)2

• B.

(7p+6)2

• C.

(6p – 7 ) ( 6p + 7)

• D.

(7p – 6 ) ( 7p + 6)

• 9.
When we factorise x2+5x+6, then we get:
• A.

(x – 2) (x – 3)

• B.

(x +2) (x + 3)

• C.

(x × 2) + (x × 3)

• D.

(x × 2) – (x × 3)

• 10.
If a2 + b2 + c2 = 20 and a + b + c =0, find ab + bc + ca.
• A.

-10

• B.

-4

• C.

0

• D.

5

• 11.
If  then find the value of
• A.

±3

• B.

±4

• C.

±5

• D.

±6

• 12.
If x2 – 3x + 2 divides x3 – 6x2 + ax + b exactly, then find the value of ‘a’ and ‘b’
• A.

10 and -5

• B.

11 and -6

• C.

12 and -4

• D.

9 and 2

• 13.
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 11/2 years.
• A.

Rs 420.20

• B.

319.08

• C.

Rs 306.04

• D.

Rs 294.75

• 14.
Find the CI on a sum of Rs 1600 for 9 months at 20% p.a. compounded quarterly.
• A.

176.84

• B.

168.40

• C.

252.20

• D.

340.84

• 15.
Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
• A.

80.08

• B.

80.80

• C.

81.60

• D.

84.00

• 16.
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
• A.

1%

• B.

2%

• C.

5%

• D.

10%

• 17.
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
• A.

6 years

• B.

9 years

• C.

12 years

• D.

18 years

• 18.
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
• A.

15%

• B.

10%

• C.

71/2 %

• D.

5%

• 19.
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
• A.

Rs 32000.50

• B.

Rs 25600.24

• C.

Rs 18060.36

• D.

Rs 18600

• 20.
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
• A.

6

• B.

1

• C.

4

• D.

2

• 21.
The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
• A.

10

• B.

12

• C.

6

• D.

8

• 22.
The difference between CI and SI on a certain sum of money for 3 years at 6 2/3% p.a. is Rs 184. The sum is
• A.

12000

• B.

13500

• C.

14200

• D.

17520

• 23.
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
• A.

1000

• B.

1250

• C.

2000

• D.

4000

• 24.
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the CI.
• A.

Rs 1440

• B.

Rs 1544

• C.

Rs 3600

• D.

None of the above

• 25.
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
• A.

8000

• B.

8100

• C.

8400

• D.

8650 Back to top