Correct Answer: 6

Solution : The given figure can be labeled as shown below –

There are 6 quadrilaterals in the above figure. They are ADFE, FEBC, ADCE, BCFA, AFCE, ABCD.

Hence, the second option is correct.

Correct Answer: N16R

Solution : Given:
J2Z, K4X, L7V, M11T, ?

Add 1 to the place value of the first letter and add consecutive natural numbers starting from 2 to the number of the previous term respectively, and subtract 2 from the third letter to obtain the next term in the series –
J2Z→J + 1 = K; 2 + 2 = 4; Z – 2 = X→K4X
K4X→K + 1 = L; 4 + 3 = 7; X – 2 = V→L7V
L7V→L + 1 = M; 7 + 4 = 11; V – 2 = T→M11T
M11T→M + 1 = N; 11 + 5 = 16; T – 2 = R→N16R

So, N16R is the missing term of the series. Hence, the fourth option is correct.

Correct Answer: 1

Solution : $\cot \theta=\frac{1}{\sqrt{3}}$
⇒ $\theta=60^{\circ}$
So, $\frac{2-\sin ^2 \theta}{1-\cos ^2 \theta}+\left(\operatorname{cosec}^2 \theta-\sec \theta\right)$
= $\frac{2-\sin ^2 60^{\circ}}{1-\cos ^2 60^{\circ}}+\left(\operatorname{cosec}^2 60^{\circ} -\sec 60^{\circ}\right)$
= $\frac{2- \frac{3}{4}}{1-\frac{1}{4}}+\frac{4}{3} -2$
= $\frac{\frac{5}{4}}{\frac{3}{4}}+\frac{4}{3} -2$
= $\frac{5}{3}+\frac{4}{3} -2$
= $\frac{9}{3} -2$
= 3 – 2
= 1
Hence, the correct answer is 1.
 

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Correct Answer:

 Sarojini Naidu

Solution : The correct answer is Sarojini Naidu.

Sarojini Naidu was the first female Governor of a state in independent India. She served as the Governor of the United Province from 1947 to 1949. Sucheta Kripalani was the country's first woman Chief Minister and held the position of Chief Minister of the Uttar Pradesh Government from 1963 to 1967. Indira Gandhi was India's first female Prime Minister. Vijaya Lakshmi Pandit was the first woman to hold the position of President of the United Nations General Assembly.

Correct Answer: 37.6

Solution : Number of families whose monthly expenditure on education is INR 2500 or more but below INR 4000 = 47 + 55 + 70 = 172
Number of families whose monthly expenditures on education are INR 4500 or more but below INR 6000 = 52 + 43 + 30 =125 
Required percentage gain = $\frac{172 - 125}{125}\times 100\% = 37.6\%$
Hence, the correct answer is 37.6.

Correct Answer: 63

Solution : According to the question
Total employees = 450
⇒ number of employees in department B_​ = $\frac{14}{100}$ ​× 450_​
= 0.14 × 450 = 63
Hence, the correct answer is 63.

Correct Answer: 8

Solution : (72 × 73 × 78 × 76) divided by 35
We divide every number individually by 35, then the total remainder is also divided by 35 to get the required remainder.
$\frac{(72 × 73 × 78 × 76)}{35}$
⇒ $\frac{(2 × 3 × 8 × 6)}{35}$
⇒ $\frac{288}{35}$
⇒ $\frac{8}{35}$
Since 8 cannot be divided further by 35
$\therefore$ The required remainder is 8.
Hence, the correct answer is 8.

Correct Answer: 86%

Solution : Number of employees in the marketing department = $\frac{24}{100} \times 800$ = 192
Number of male employees = 165.
∴ Required percentage = $\frac{165}{192} \times 100$ = 85.93% ≈ 86%
Hence, the correct answer is 86%.

Correct Answer: $71 \frac{3}{7} \%$

Solution : According to the question,
Percentage Increase
$= \frac{\text{New Value−Old Value}}{\text{Old Value}} × 100$
$= \frac{12000 − 7000}{7000} × 100$
$= \frac{5000}{7000}× 100$
$ = 71\frac{3}{7}\%$
Hence, the correct answer is $71\frac{3}{7}\%$.

Correct Answer: Alfred Werner

Solution : The correct answer is Alfred Werner.

Alfred Werner's theory propounded that the ions/groups bonded to the metal by secondary bonding have spatial arrangements corresponding to different characteristic coordination numbers. This theory states that the transition metal cation will have two valencies: a primary and a secondary. Alfred Werner won the Nobel Prize in chemistry in 1913.