SAT (Stage-2) Mock Test

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SAT (Stage-2) Mock Test - 31

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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 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 4
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 5
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 6
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 7
1 / -0

Complaints for compensations of more than Rs. 20 lakh, but up to Rs. 1 crore can be filed at the

A
District Forum

B
State Commission

C
National Commission

D
Supreme Court

Solution

As per the provisions embedded under Consumer protection Act, 1986, complains for compensations of more than Rs. 20 lakh, but up to Rs. 1 crore can be filed at the State Commission.

Question 8

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

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 9
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
Question 10
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 11
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.

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Re-Attempt Weekly Quiz Competition

SAT (Stage-2) Mock Test - 31

Result

SAT (Stage-2) Mock Test - 31

Score

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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

be halved

be doubled

remain the same

become four times

Solution

Question 4

x-coordinate = - 5

y-coordinate = 5 only

y-coordinate = - 5 only

y-coordinate = 5 or - 5

Solution

Question 5

right triangle

isosceles triangle

equilateral triangle

scalene triangle

Solution

Question 6

2 added

2 subtracted

6 added

6 subtracted

Solution

Question 7

District Forum

State Commission

National Commission

Supreme Court

Solution

Question 8

P

Q

R

S

Solution

Question 9

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

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

'A' is true but 'R' is false

'R' is true but 'A' is false

Question 10

Bank Rate

Interest Rate

Cash Reserve Ratio

Statutory Liquidity Ratio

Solution

Question 11

Less number of means of transport

Illiteracy Level

Lack of access to health care

Lack of job opportunity

Solution

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