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Question : Given below is a graph which shows the different occupations of men and women. The occupation that has a larger proportion of women compared to the other three jobs is:
Option 1: Clerical
Option 2: Teaching
Option 3: Medical
Option 4: Legal
Correct Answer: Clerical
Solution : Proportion of women to men in legal = $\frac{20}{30}$ = 0.67 Proportion of women to men in clerical = $\frac{30}{35}$ = 0.86 Proportion of women to men in medical = $\frac{10}{20}$ = 0.5 Proportion of women to men in teaching = $\frac{25}{35}$ = 0.71 $\therefore$
Question : If $x=\frac{4\sqrt{15}}{\sqrt{5}+\sqrt{3}}$, the value of $\frac{x+\sqrt{20}}{x–\sqrt{20}}+\frac{x+\sqrt{12}}{x–\sqrt{12}}$ is:
Option 1: $1$
Option 2: $2$
Option 3: $\sqrt{3}$
Option 4: $\sqrt{5}$
Correct Answer: $2$
Solution : Given: $x=\frac{4\sqrt{15}}{\sqrt{5}+\sqrt{3}}=\frac{4\sqrt{5}\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ Now, $\frac{x}{\sqrt{20}}=\frac{4\sqrt{5}\sqrt{3}}{\sqrt{20}(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{3}}{(\sqrt{5}+\sqrt{3})}$ Using componendo and dividendo $\frac{x+\sqrt{20}}{x-\sqrt{20}}=\frac{\sqrt{5}+3\sqrt{3}}{(\sqrt{3}-\sqrt{5})}$ Similarly, we can find $\frac{x+\sqrt{12}}{x-\sqrt{12}}=\frac{\sqrt{3}+3\sqrt{5}}{(\sqrt{5}-\sqrt{3})}$ Now, $\frac{x+\sqrt{20}}{x–\sqrt{20}}+\frac{x+\sqrt{12}}{x–\sqrt{12}}=\frac{\sqrt{5}+3\sqrt{3}}{(\sqrt{3}-\sqrt{5})}+\frac{\sqrt{3}+3\sqrt{5}}{(\sqrt{5}-\sqrt{3})} =\frac{2\sqrt{3}-2\sqrt{5}}{(\sqrt{3}-\sqrt{5})}$ =2 Hence, the correct answer is $2$.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The ship sink / in the sea / and had / no survivors.
Option 1: in the sea
Option 2: and had
Option 3: The ship sink
Option 4: no survivors
Correct Answer: The ship sink
Solution : The error lies in the third option.
The verb "sink" is in the present tense, while the sentence describes a past event—the sinking of the ship. When narrating past events, the correct form is to use the past tense. So, the correct form
Question : What is the chemical formula of "quartz"?
Option 1: SiO3
Option 2: SiO5
Option 3: SiO
Option 4: SiO2
Correct Answer: SiO2
Solution : The correct answer is SiO2.
The chemical formula of quartz is SiO2. It consists of silicon (Si) and oxygen (O) atoms. Quartz is a common mineral in the Earth's crust and is one of the most abundant minerals. It has
Question : Directions: In a certain code language, good morning is coded as mu du, early morning tea is coded as du tu se, and tea is early is coded as se re tu. What is the code for the word is?
Option 1: mu
Option 2: tu
Option 3: du
Option 4: re
Correct Answer: re
Solution : Given: 1. good morning ⇒ mu du 2. early morning tea ⇒ du tu se 3. tea is early ⇒ se re tu
By comparing all the above–coded sentences, we find that – In sentences 1 and 2, morning and du are common. In sentences
Question : If a train is 75 metres long and moving at 60 km/hr, how long does it take to pass by a certain telegraph post?
Option 1: 3.5 seconds
Option 2: 4.5 seconds
Option 3: 5 seconds
Option 4: 5.4 seconds
Correct Answer: 4.5 seconds
Solution : Given: The distance of the train is 75 m and its speed is 60 km/h. We know that, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ To convert km/h into m/s, multiply with $\frac{5}{18}$, we get, $60\ km/h=60\times \frac{5}{18}=\frac{50}{3} m/s$ So, the train will take the required time, $\frac{75}{\frac{50}{3}}= 4.5$ seconds
Question : If a : b : c = 2 : 3 : 5 and 5b – a + 2c = 115, then what is the value of b?
Option 1: 15
Option 2: 12
Option 3: 6
Option 4: 24
Correct Answer: 15
Solution : a ∶ b ∶ c = 2 ∶ 3 ∶ 5 Let the value of a, b, and c be 2x, 3x, and 5x, respectively. So, ⇒ 5b - a + 2c = 115 ⇒ 5 × (3x) – (2x) + 2 × (5x) =
Question : Which of the following is not a cause of rural poverty in India?
Option 1: Migration from rural areas.
Option 2: Lack of alternate employment opportunities other than agriculture.
Option 3: Illiteracy
Option 4: Lack of capital.
Correct Answer: Migration from rural areas.
Solution : The correct answer is Migration from rural areas.
They relocate from rural to urban areas or from one rural to another. For a variety of reasons, people are driven to emigrate. Families and individuals consider factors like risks, goals, and socioeconomic
Question : A computer is available for INR 39,000 on cash payment or INR 19,000 as cash payment followed by five monthly instalments of INR 4,200 each. What is the rate of interest per annum under the instalment plan?
Option 1: $20 \frac{19}{29} \%$
Option 2: $20 \frac{17}{29} \%$
Option 3: $20 \frac{20}{29} \%$
Option 4: $20 \frac{18}{29} \%$
Correct Answer: $20 \frac{20}{29} \%$
Solution : Total cost of the computer = Rs. 39000 Down payment = Rs. 19000 Balance = Rs. 20000 Let the rate of interest be $r$ Here simple interest is denoted by S.I. Hence, the amount of Rs. 20000 for 5 months = $20000+ \frac{20000\times
Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 3: 5 : 9
Option 4: 4 : 5
Correct Answer: 5 : 7
Solution : According to the question, $\frac{V_1}{V_2}$ = $\frac{7}{5}$ and, $\frac{h1}{h2}$ = $\frac{5}{7}$ Now, $\frac{V_1}{V_2}$ = $\frac{πr_1^{2}h_1}{πr_2^{2}h_2}$ ⇒ $\frac{7}{5}$ = $\frac{5×r_1^{2}}{7×r_2^{2}}$ ⇒ 49 × $r_1^{2}$ = 25 × $r_2^{2}$ ⇒ $\frac{r_1}{r_2}$ = $\frac{\sqrt{25}}{\sqrt{49}}$ = $\frac{5}{7}$ Hence, the correct answer is 5 : 7.
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