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Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Navinder and his wife departed for London by Air India yesterday.
(1) to
(2) towards
(3) toward
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct answer is the fourth option.
In this sentence, the preposition for is used correctly to indicate that they left for London. The original sentence is already clear and correct in conveying their departure to London.
Therefore, the correct answer would be: No Improvement.
Question : Directions: Eight friends Anil, Kamal, Ram, Sanjay, Aakash, Vivek, Rahul and Ramu are sitting around a circular table facing towards the centre (not necessarily in the same order). Ram is to the immediate right of Anil. Anil is fourth to the right of Sanjay. Rahul is fourth to the left of Aakash. Aakash is second to the left of Anil. Ramu is second to the left of Kamal. Vivek is second to the right of Kamal. Who is second to the right of Vivek?
Option 1: Aakash
Option 2: Ram
Option 3: Ramu
Option 4: Vivek
Correct Answer: Ram
Solution : Given: Eight friends Anil, Kamal, Ram, Sanjay, Aakash, Vivek, Rahul and Ramu are sitting around a circular table facing towards the centre. (I) Ram is to the immediate right of Anil. (II) Anil is fourth to the right of Sanjay. (III) Aakash is second to
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line AB), the right of the reflected image will appear as the left, and
Question : Select the most appropriate synonym of the given word.
FASTEN
Option 1: Detach
Option 2: Release
Option 3: Affix
Option 4: Loosen
Correct Answer: Affix
Solution : The correct choice is the third option.
Affix means to attach or fasten something securely to another object. It aligns closely with the meaning of "fasten", which involves securing or joining things together.
The meanings of the other options are:
Question : In $\triangle \mathrm{CAB}, \angle \mathrm{CAB}=90^{\circ}$ and $\mathrm{AD} \perp \mathrm{BC}$. If $\mathrm{AC}=24 \mathrm{~cm}, \mathrm{AB}=10 \mathrm{~cm}$. then find the value of $AD$ (in cm).
Option 1: 9.23
Option 2: 8.23
Option 3: 7.14
Option 4: 10.23
Correct Answer: 9.23
Solution : Given, In $\triangle \mathrm{CAB}, \angle \mathrm{CAB}=90^{\circ}$ and $\mathrm{AD} \perp \mathrm{BC}$. $\mathrm{AC}=24 \mathrm{~cm}, \mathrm{AB}=10 \mathrm{~cm}$ Applying Pythagoras theorem, $BC^2=AC^2+AB^2$ ⇒ $BC^2 =24^2+10^2$ ⇒ $BC = 26$ cm Now, area of triangle = $\frac{1}{2}\times \text{base}\times \text{height}$ So, $\frac{1}{2}\times AC\times AB=\frac{1}{2}\times AD\times BC$ ⇒ $24\times 10 = AD
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. RAQ, TCS, VEU, ?, ZIY
Option 1: XHW
Option 2: XHX
Option 3: XGW
Option 4: XGX
Correct Answer: XGW
Solution : Given: RAQ, TCS, VEU, ?, ZIY
In the above-given series, add 2 to the place value of each letter of the given letter clusters. RAQ→R + 2 = T; A + 2 = C; Q + 2 = S TCS→T + 2 = V; C
Question : Find the value of the given expression. $\left(2 \frac{1}{2}÷ 1 \frac{7}{8}\right) ÷\left(9 \frac{3}{8}÷ 11 \frac{2}{3} \text { of } \frac{1}{8}\right)$
Option 1: $\frac{33}{135}$
Option 2: $\frac{11}{135}$
Option 3: $\frac{28}{135}$
Option 4: $\frac{57}{135}$
Correct Answer: $\frac{28}{135}$
Solution : Consider, $\left(2 \frac{1}{2}÷ 1 \frac{7}{8}\right) ÷\left(9 \frac{3}{8}÷ 11 \frac{2}{3} \text { of } \frac{1}{8}\right)$ = $(\frac{5}{2}÷\frac{15}{8})÷\{\frac{75}{8}÷(\frac{35}{3}\times\frac{1}{8})\}$ = $(\frac{5}{2}\times\frac{8}{15})÷(\frac{75}{8}\times\frac{3}{35}\times\frac81)$ = $(\frac{4}{3})÷(\frac{15\times 3}{ 7})$ = $(\frac{4}{3})÷(\frac{15\times 3}{ 7})$ = $\frac{4}{3}\times\frac{7}{15\times 3}$ = $\frac{28}{135}$ Hence, the correct answer is $\frac{28}{135}$.
Question : Find the mean proportion of $\frac{a^3+b^3}{a-b}$ and $\frac{a^2-b^2}{a^2-a b+b^2}$.
Option 1: $1$
Option 2: $a+b$
Option 3: $\frac{a+b}{a-b}$
Option 4: $\sqrt{a+b}$
Correct Answer: $a+b$
Solution : Let the mean proportion be $x$. So, $x= \sqrt{\frac{a^3+b^3}{a-b}\times \frac{a^2-b^2}{a^2-a b+b^2}}$ ⇒ $x= \sqrt{\frac{(a+b)(a^2-a b+b^2)}{a-b}\times \frac{(a-b)(a+b)}{a^2-a b+b^2}}$ ⇒ $x=a+b$ Hence, the correct answer is $a+b$.
Question : What will be the quotient when 2143 is divided by 38?
Option 1: 56
Option 2: 55
Option 3: 57
Option 4: 54
Correct Answer: 56
Solution : Simply divide 2143 by 38. We get: Quotient = 56, Remainder = 15 Hence, the correct answer is 56.
Question : Who wrote the "Harshacharita", a biography of Harshavardhana?
Option 1: Banabhatta
Option 2: Harisena
Option 3: Ravikirti
Option 4: Xuan Zang
Correct Answer: Banabhatta
Solution : The correct option is Banabhatta.
The "Harshacharita" was written by the Indian poet Banabhatta. Banabhatta was a Sanskrit scholar and a court poet in the 7th century. The "Harshacharita" is a biography of King Harshavardhana, who ruled the Indian subcontinent from 606 to 647 CE.
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