Even though I had planned to go skiing with my friends, I had to ............. at the last moment because of an injury.
Select the most appropriate option to complete the above sentence.
Select the most appropriate option to complete the above sentence.
Show Hint
- back up
- back of
- back on
- back out
The Correct Option is D
Solution and Explanation
Other options are incorrect:
• "back up" means to support or to reverse a vehicle.
• "back of" is not a valid phrasal verb.
• "back on" doesn't fit the sentence grammatically or idiomatically.
Thus, the most appropriate choice is "back out".
Top Questions on Vocabulary
As the police officer was found guilty of embezzlement, he was _________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
- As the police officer was found guilty of embezzlement, he was .......... dismissed from the service in accordance with the Service Rules.
- Even though I had planned to go skiing with my friends, I had to ............. at the last moment because of an injury.
- What is the word for "front part" of something?
- CUET (PG) - 2025
- English
- Vocabulary
- Match the words in List-I with their definitions in List-II :
List-I (Words) List-II (Definitions) (A) Theocracy (I) One who keeps drugs for sale and puts up prescriptions (B) Megalomania (II) One who collects and studies objects or artistic works from the distant past (C) Apothecary (III) A government by divine guidance or religious leaders (D) Antiquarian (IV) A morbid delusion of one’s power, importance or godliness Choose the correct answer from the options given below :- CUET (UG) - 2024
- English
- Vocabulary
Questions Asked in GATE ST exam
Let \( (X, Y)^T \) follow a bivariate normal distribution with \[ E(X) = 2, \, E(Y) = 3, \, {Var}(X) = 16, \, {Var}(Y) = 25, \, {Cov}(X, Y) = 14. \] Then \[ 2\pi \left( \Pr(X>2, Y>3) - \frac{1}{4} \right) \] equals _________ (rounded off to two decimal places).
- GATE ST - 2025
- Normal distribution
- Let \( (X_1, X_2, X_3)^T \) have the following distribution
\[ N_3 \left( \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix}, \begin{pmatrix} 1 & 0.4 & 0 \\ 0.4 & 1 & 0.6 \\ 0 & 0.6 & 1 \end{pmatrix} \right). \]
Then the value of the partial correlation coefficient between \( X_1 \) and \( X_2 \) given \( X_3 \) is __________ (rounded off to two decimal places).- GATE ST - 2025
- Normal distribution
- Let \( X \sim \text{Bin}(3, \theta) \), where \( \theta \in (0,1) \) is an unknown parameter. For testing
\[ H_0: \frac{1}{4} \leq \theta \leq \frac{3}{4} \quad \text{against} \quad H_1: \theta < \frac{1}{4} \quad \text{or} \quad \theta > \frac{3}{4}, \]
consider the test \[ \phi(x) = \begin{cases} 1 & \text{if } x \in \{0, 3\}, \\ 0 & \text{if } x \in \{1, 2\}. \end{cases} \]
The size of the test \( \phi \) is ___________ (rounded off to two decimal places).- GATE ST - 2025
- Binomial distribution
Let \( X_1, X_2 \) be a random sample from a population having probability density function
\[ f_{\theta}(x) = \begin{cases} e^{(x-\theta)} & \text{if } -\infty < x \leq \theta, \\ 0 & \text{otherwise}, \end{cases} \] where \( \theta \in \mathbb{R} \) is an unknown parameter. Consider testing \( H_0: \theta \geq 0 \) against \( H_1: \theta < 0 \) at level \( \alpha = 0.09 \). Let \( \beta(\theta) \) denote the power function of a uniformly most powerful test. Then \( \beta(\log_e 0.36) \) equals ________ (rounded off to two decimal places).- GATE ST - 2025
- Hypothesis testing
Let \( X_1, X_2, \dots, X_7 \) be a random sample from a population having the probability density function \[ f(x) = \frac{1}{2} \lambda^3 x^2 e^{-\lambda x}, \quad x>0, \] where \( \lambda>0 \) is an unknown parameter. Let \( \hat{\lambda} \) be the maximum likelihood estimator of \( \lambda \), and \( E(\hat{\lambda} - \lambda) = \alpha \lambda \) be the corresponding bias, where \( \alpha \) is a real constant. Then the value of \( \frac{1}{\alpha} \) equals __________ (answer in integer).
- GATE ST - 2025
- Estimation