Question : In a triangle $ABC$, side $BC$ is produced to $D$ such that $\angle A C D=127^{\circ}$. If $\angle A B C=35^{\circ}$, then find $\angle B A C$.

Option 1: 82°

Option 2: 92°

Option 3: 95°

Option 4: 75°

Question : Directions: A word is represented by only one set of numbers as given in any of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. R can be represented by 12, 23, etc, and G can be represented by 77, 88, etc. Similarly, you have to identify the set for the word FRIEND.

Option 1: 76, 23, 85, 21, 78, 20

Option 2: 87, 23, 79, 21, 78, 20

Option 3: 87,12, 68, 21, 99, 33

Option 4: 98, 23, 68, 96, 78, 20

Question : The following bar graph shows the sales of tractors by a showroom in different months. What was the approximate percentage decline from August to September?

Option 1: 33%

Option 2: 51%

Option 3: 46%

Option 4: 55%

Question : Per Capita income is equal to

Option 1:

Option 2: National Income + Population 

Option 3: National Income - Population 

Option 4: National Income x Population 

Question : If $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$, where $2 \theta$ is an acute angle, then the value of $\theta$ is:

Option 1: 18°

Option 2: 36°

Option 3: 30°

Option 4: 42°

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Upgrading the higher education sector, especially in terms of patents filed and cutting-edge research output, is (1)______ in improving India’s global ranking. Our sustainable (2)______ development depends on human resources. A quality higher education base is essential to reap the full benefits of our demographic dividend. In higher education, the strategies of the 12th plan (3)______ on technical education, distance learning, quality research, infrastructure, faculty, and curriculum content. (4)______ efforts of the government departments and the private sector are needed to (5)______ the plan’s educational goals.
Select the most appropriate option to fill in the blank number 5.

Option 1: remain

Option 2: realise

Option 3: conclude

Option 4: conduct

Question :  _________________ refers to the gross market value of all final goods and services produced within the domestic territory of a country during a period of one year.

Option 1: GDP at MP

Option 2: GDP at FC

Option 3: GNP at MP

Option 4: GNP at FC

Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.

Option 1: 4

Option 2: 8

Option 3: 1

Option 4: 2

Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Isabel saw a strange rabbit running through the bushes.
B. Following it, she found a door which she opened with the help of keys.
C. After that, she felt a strange sensation in her body.
D. She thought as if she was in a dream.

Option 1: CDAB

Option 2: DCAB

Option 3: BCDA

Option 4: ABCD

Question : From May 2017, the Real Estate Act has come into effect. Under the Act, the Regulatory Authorities are required to dispose of complaints in how many days?

Option 1: 60

Option 2: 30

Option 3: 45

Option 4: 90