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Question : Directions: Which two signs should be interchanged to make the given equation correct? 588 ÷ 28 × 32 + 72 – 160 = 760
Option 1: – and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: ÷ and +
Correct Answer: – and +
Solution : Given: 588 ÷ 28 × 32 + 72 – 160 = 760
Interchange the mathematical signs given in the equation with the signs given in the options one by one – First option: – and + ⇒ 588 ÷ 28 × 32 –
Question : Select the correct active form of the given sentence. AIDS will have been cured by the year 2070 by scientists.
Option 1: Scientists will have cured AIDS by the year 2070.
Option 2: Scientists cured AIDS by the year 2070.
Option 3: Scientists will cure AIDS by the year 2070.
Option 4: Scientists must have cured AIDS by the year 2070.
Correct Answer: Scientists will have cured AIDS by the year 2070.
Solution : The correct choice is the first option.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the
Question : A 1.6 m tall observer is 45 metres away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in metres is: (Take$\sqrt{3}=1.732$)
Option 1: 25.98
Option 2: 26.58
Option 3: 27.58
Option 4: 27.98
Correct Answer: 27.58
Solution : AB = Height of observer = 1.6 m. CD = Height of tower = $h$ m. ∴ DE = ($h$ – 1.6) m BC = AE = 45 metres $\angle$DAE = 30° From $\triangle$DAE, $\tan 30°=\frac{DE}{AE}$ ⇒ $\frac{1}{\sqrt{3}}=\frac{h-1.6}{45}$ ⇒ $h-1.6=15\sqrt{3}$ ⇒ $h – 1.6 =
Question : $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}=$________.
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 1
Correct Answer: 2
Solution : We know that $\sin \theta = \cos (90°-\theta)$ And, $\tan \theta = \cot (90°-\theta)$ So, $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}$ = $\cos ^2 35^{\circ}+\cos (90^{\circ}-35^{\circ}) \cdot\sin 35^{\circ}+\frac{\tan(90^{\circ}- 56^{\circ})}{\cot 56^{\circ}}$ = $\cos ^2 35^{\circ}+\sin 35^{\circ} \cdot \sin 35^{\circ}+\frac{\cot 56^{\circ}}{\cot 56^{\circ}}$ = $\cos
Question : Which of the following is the lowest ratio?
Option 1: 8 : 19
Option 2: 15 : 38
Option 3: 17 : 38
Option 4: 13 : 19
Correct Answer: 15 : 38
Solution : Here, the LCM of the denominators of all the options is 38. So, $\frac{8}{19} = \frac{8×2}{19\times 2}=\frac{16}{38}$ $ \frac{15}{38} $, $ \frac{17}{38}$ $ \frac{13}{19}= \frac{13×2}{19\times 2}=\frac{26}{38}$ $\therefore$ 15 : 38 is the lowest ratio. Hence, the correct answer is 15 : 38.
Question : The difference between the compound interest (compounding half-yearly) for 1 year and the simple interest for 1 year on a certain sum lent out at the annual rate of 10% is Rs, 25. What is the sum?
Option 1: Rs. 12000
Option 2: Rs. 6000
Option 3: Rs. 8000
Option 4: Rs. 10000
Correct Answer: Rs. 10000
Solution : Given, Difference between compound interest and simple interest = Rs. 25, Annual interest rate = 10% We know, Compound Interest for 1 year = $P[(1 + \frac{r}{100})^n- 1]$, where $r$ is the annual interest rate and $n$ is the number of compounding periods. Simple
Question : Directions: In the following question, correct the equation by interchanging two signs. 6 + 8 ÷ 4 – 4 = 8
Option 1: ÷ and =
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: + and –
Correct Answer: + and –
Solution : Given: 6 + 8 ÷ 4 – 4 = 8
Let's check the options – First option: ÷ and = 6 + 8 = 4 – 4 ÷ 8 LHS→6 + 8 = 14 RHS→4 – 4 ÷ 8 = 4 – 0.5
Question : Select the most appropriate ANTONYM of the underlined word in the given sentence.
I confronted the journalist with the evidence.
Option 1: Resisted
Option 2: Avoided
Option 3: Challenged
Option 4: Encountered
Correct Answer: Avoided
Solution : The correct choice is the second option.
Explanation: This is the correct antonym for confronted. Avoided means to stay away from or prevent contact or interaction with something while confronted means to face or deal with it directly.
The meanings of the other options are
Question : What is the currency of Saudi Arabia ?
Option 1: Dinar
Option 2: Riyal
Option 3: Pound
Option 4: Lira
Correct Answer: Riyal
Solution : The correct answer is Riyal
The Saudi riyal, which is divided into 100 halala, is used as the currency of Saudi Arabia. The currency has a fixed exchange rate that is tied to the US dollar. By the end of this quarter, analysts and Trading
Question : The immunisation technique was developed by
Option 1: Joseph Lister
Option 2: Louis Pasteur
Option 3: Edward jenner
Option 4: Robert Koch
Correct Answer: Louis Pasteur
Solution : The correct option is Louis Pasteur.
The principles of vaccination, microbial fermentation, and pasteurisation, which bear his name, were discovered by French chemist and microbiologist Louis Pasteur. Through the creation of rabies and anthrax vaccines, Pasteur's work is credited with saving millions of
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