SAT (Stage-2) Mock Test

Result

SAT (Stage-2) Mock Test - 64

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is

A
1

B
1/2

C
2

D
3

Solution

sin A + sin²A = 1 = cos²A + sin²A (Using the given equation and trigonometric identity)
Thus, cos²A = sin A.
Therefore, cos⁴A = sin²A.
Hence, cos²A + cos⁴A = sin A + sin²A = 1.
Question 2
1 / -0

If cos (a + b) = 0, then sin (a - b) can be reduced to

A
cos b

B
cos 2b

C
sin a

D
sin 2b

Solution

Given cos (a + b) = 0
⇒ cos (a + b) = cos 90
⇒ a + b = 90
⇒ a = 90- b
Now, sin(a - b) = sin(90 - b - b)
= sin(90 - 2b)
= cos 2b [as sin (90 - x) = cos x]
Question 3
1 / -0

If two non-intersecting circles, one lying inside the other, are of radii a and b (a > b), and the minimum distance between their circumference is c, what is the distance between their centres?

A
a - b

B
a - b + c

C
a + b - c

D
a - b - c

Solution

Let A and B be the centres of two circles.
Here, AD = a, BC = b and CD = c
AB = AD - (BC + CD)
= a - (b + c)
= a - b - c
Question 4
1 / -0

The total surface area of a cone, whose radius is r/2 and slant height is 2l, is

A
2πr (l + r)

B
πr (l + r/4)

C
πr (l + r)

D
2πrl

Solution
Question 5
1 / -0

If the radius of a cylinder is doubled and its height is halved, then its curved surface area will

A
be halved

B
be doubled

C
remain the same

D
become four times

Solution

CSA of a cylinder = 2πrh
If r becomes 2r and h becomes h/2, the curved surface area will remain the same.
Question 6
1 / -0

For the given figure, if ∠BDC = 50°, what is the angle between the tangents AB and AC?

A
50°

B
80°

C
110°

D
130°

Solution

Join OB, OC and OD.
OB is perpendicular to AB and OC is perpendicular to AC (as radius of circle are perpendicular to tangents)
now, ∠BOC is 100° (angle subtended by the chord BC at the centre is twice to that of angle subtended by it on the remaining part of the circle.)

NOW, in quad. ∠ABOC
∠BAC + ∠ABO + ∠BOC + ∠OCA = 360°
So, ∠BAC + 90° + 100° + 90° = 360°
∠BAC = 360° - 280°
∠BAC = 80°
Question 7
1 / -0

In the given figure, ABC is a right angled triangle and BD⊥AC. Which of the following relations is true?

A
AB : BC : : AD : DC

B
AB : BC : : AD² : DC²

C

D

Solution

In △ADB, AB is the hypotenuse and in △BDC, BC is the hypotenuse.

The hypotenuse of both the triangles will be in the ratio of the square root of AD and DC.
Question 8
1 / -0

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of the x-axis, then the point P has

A
x-coordinate = - 5

B
y-coordinate = 5 only

C
y-coordinate = - 5 only

D
y-coordinate = 5 or - 5

Solution

Since, x is negative in both quadrants II and III, y coordinate can be either +ve or -ve.
Question 9
1 / -0

The points (-4, 0), (4, 0) and (0, 3) are the vertices of a

A
right triangle

B
isosceles triangle

C
equilateral triangle

D
scalene triangle

Solution

Let the 3 points be P, Q and R. Then PQ = QR, thus making an Isosceles triangle.
Question 10
1 / -0

If the mean exceeds mode by 6, what factor must be added or subtracted to/from mean to obtain median?

A
2 added

B
2 subtracted

C
6 added

D
6 subtracted

Solution

Suppose mean = m,
Then mode = m - 6
Since,
Mode = 3 median - 2 mean
m - 6 = 3 median - 2m
3 median = 3m - 6
Median = m - 2
Hence, 2 is subtracted from mean to obtain median.
Question 11
1 / -0

Complaints for compensations of more than Rupees One Crore but does not exceed Rupees Ten Crore can be filed at the

A
District Commission

B
State Commission

C
National Commission

D
Supreme Court

Solution

As per the provisions embedded under Section 47 of the Consumer protection Act, 2019, complaints where the value of the goods or services paid as consideration, exceeds rupees one crore, but does not exceed rupees ten crore the State Commission shall have jurisdiction for such complaints.

Question 12

1 / -0

Country	Total National Income	Males	Females
P	10800	635	465
Q	10450	575	375
R	9000	380	220
S	10400	285	515

The country which has high GDP per capita income is

P

Q

R

S

Solution

Correct Answer: R

R will be having the highest GDP per capita out of all these in the above mentioned list as per capita income or average income measures the average income earned per person in a given area (city, region, country, etc.) in a specified year. It is calculated by dividing the area's total income by its total population which in case of R is 15.

Question 13
1 / -0

In the wake of globalisation:

Assertion (A): There is a steady rise in unemployment, in the developed countries like the U.S.A.
Reason (R): Out sourcing of employees from the developing countries helps the MNC's in maximising the profit.

A
'A' and 'R' are true, and 'R' is the correct explanation of 'A'

B
'A' and 'R' are correct but 'R' is not the correct explanation of 'A'

C
'A' is true but 'R' is false

D
'R' is true but 'A' is false

Solution

Correct Answer: 'A' and 'R' are true, and 'R' is the correct explanation of 'A'
Question 14
1 / -0

The rate at which Central Bank gives credit to commercial banks is called

A
Bank Rate

B
Interest Rate

C
Cash Reserve Ratio

D
Statutory Liquidity Ratio

Solution

Bank rate, also referred to as the discount rate is the rate of interest which a central bank charges on the loans and advances to a commercial bank. The bank rate is known by a number of different terms depending on the country and has changed over time in some countries as the mechanism used to manage the rate have changed. Whenever a bank has a shortage of funds, they can typically borrow from the central bank based on the monetary policy of the country.
Question 15
1 / -0

Which of the following is not considered as a social indication of poverty?

A
Less number of means of transport

B
Illiteracy Level

C
Lack of access to health care

D
Lack of job opportunity

Solution

The social inclusion portfolio covers income poverty, unemployment and joblessness, low educational qualifications, the employment situation of migrants, material deprivation, housing and access to health care; a specific slot, yet to be filled in, has been reserved for one or more "child well-being indicators.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

SAT (Stage-2) Mock Test - 64

Result

SAT (Stage-2) Mock Test - 64

Score

-

Rank

-

SHARING IS CARING

Question 1

1

1/2

2

3

Solution

Question 2

cos b

cos 2b

sin a

sin 2b

Solution

Question 3

a - b

a - b + c

a + b - c

a - b - c

Solution

Question 4

2πr (l + r)

πr (l + r/4)

πr (l + r)

2πrl

Solution

Question 5

be halved

be doubled

remain the same

become four times

Solution

Question 6

50°

80°

110°

130°

Solution

Question 7

AB : BC : : AD : DC

AB : BC : : AD2 : DC2

Solution

Question 8

x-coordinate = - 5

y-coordinate = 5 only

y-coordinate = - 5 only

y-coordinate = 5 or - 5

Solution

Question 9

right triangle

isosceles triangle

equilateral triangle

scalene triangle

Solution

Question 10

2 added

2 subtracted

6 added

6 subtracted

Solution

Question 11

District Commission

State Commission

National Commission

Supreme Court

Solution

Question 12

P

Q

R

S

Solution

Question 13

'A' and 'R' are true, and 'R' is the correct explanation of 'A'

AB : BC : : AD² : DC²