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Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term. GDC : AEY :: RON : ?
Option 1: LPJ
Option 2: MPJ
Option 3: LPG
Option 4: MPK
Correct Answer: LPJ
Solution : Given: GDC : AEY :: RON : ?
Subtract 6 from the first letter and 4 from the third letter and add 1 to the second letter of the given term to obtain the required term – G – 6 = A; D + 1
Question : Let $a=\frac{1}{2-\sqrt{3}}+\frac{1}{3-\sqrt{8}}+\frac{1}{4-\sqrt{15}}$ then we have:
Option 1: $a<18 \text{ but } a\neq 9$
Option 2: $a>18$
Option 3: $a=18$
Option 4: $a=9$
Correct Answer: $a<18 \text{ but } a\neq 9$
Solution : $a=\frac{1}{2-\sqrt{3}}+\frac{1}{3-\sqrt{8}}+\frac{1}{4-\sqrt{15}}$ $=\frac{1}{2-\sqrt{3}}\times\frac{2+\sqrt{3}}{2+\sqrt{3}}+\frac{1}{3-\sqrt{8}}\times\frac{3+\sqrt{8}}{3+\sqrt{8}}+\frac{1}{4-\sqrt{15}}\times\frac{4+\sqrt{15}}{4+\sqrt{15}}$ $=\frac{2+\sqrt{3}}{4-3}+\frac{3+\sqrt{8}}{9-8}+\frac{4+\sqrt{15}}{16-15}$ $=2+\sqrt{3}+3+\sqrt{8}+4+\sqrt{15}$ $=9+\sqrt{3}+\sqrt{8}+\sqrt{15}$ $<9+2+3+4$ $<18$ Hence, the correct answer is $a<18 \text{ but } a\neq 9$.
Question : The value of $\lambda$ for which the expression $x^3 + x^2 - 5x + \lambda$ will be divisible by $(x-2)$ is:
Option 1: 2
Option 2: – 2
Option 3: – 3
Option 4: 4
Correct Answer: – 2
Solution : Given: $(x - 2)$ is a factor of the polynomial $P(x)= x^3 + x^2 - 5x + \lambda$ So, $P(2)=0$ ⇒ $8 + 4 - 10 + λ = 0$ ⇒ $λ + 2 = 0$ ⇒ $λ= -2$ Hence, the correct answer is
Question : Directions: The speeds of five cars Vivek, Laxman, Kamal, Mohan and Ramesh are compared. The speed of Vivek is more than only one car. The speed of Ramesh is more than four cars. Speed of Mohan is more than Vivek's but less than Kamal and Ramesh's. Speed of how many cars is less than the speed of Mohan?
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: 1. The speed of Vivek is more than only one car. 2. The speed of Ramesh is more than four cars. 3. Speed of Mohan is more than Vivek's but less than Kamal and Ramesh's.
So, the speed of 2 cars is less than
Question : Directions: The bar graph shows the number of males and females (in crores) in India from 1951-1991. Read the graph and answer the following question: Assuming that the rate of increase in the total population in India during 1991-2001 remains the same as it was during the period 1981-1991, estimate the total population in India in 2001:
Option 1: 105.62 crore
Option 2: 106.25 crore
Option 3: 106.52 crore
Option 4: 105.26 crore
Correct Answer: 106.25 crore
Solution : As per the given bar graph: The total population in 1981 = 35 + 33 = 68 crore The total population in 1991 = 44 + 41 = 85 crore Total increase in population from 1991 to 1981 = 85 – 68 = 17
Question : What chemical element does ‘H’ stand for in the science periodic table?
Option 1: Helium
Option 2: Hydrogen
Option 3: Holmium
Option 4: Mercury
Correct Answer: Hydrogen
Solution : The correct option is Hydrogen.
'H' denotes the chemical element hydrogen in the scientific periodic table. With an atomic number of 1, hydrogen is the first and lightest element in the periodic table. It is the most common element in the universe and is a
Question : The ________ and _______ determine the corridor for the daily movement in the weighted average call money rate.
Option 1: Reverse repo rate, discount rate
Option 2: Marginal Standing Facility, reverse repo rate
Option 3: Liquidity adjustment facility, repo rate
Option 4: Bank rate, repo rate
Correct Answer: Marginal Standing Facility, reverse repo rate
Solution : The correct option is Marginal Standing Facility, reverse repo rate.
The marginal standing facility (MSF) and the reverse repo rate determine the corridor for the daily movement in the weighted average call money rate. The MSF is the upper
Question : Directions: Three Statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. Some sweets are chocolates. II. All chocolates are cookies. III. Some cookies are healthy. Conclusions: I. Some sweets are cookies. II. Some cookies are chocolates. III. Some chocolates are sweets.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and III follow
Option 3: Both conclusions I and II follow
Option 4: All conclusions follow
Correct Answer: All conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some sweets are cookies – From the Venn diagram, it is clear that the circle of sweets and cookies intersect and have some
Question : Select the most appropriate ANTONYM of the given word.
Fierce
Option 1: Sore
Option 2: Gentle
Option 3: Vast
Option 4: Noisy
Correct Answer: Gentle
Solution : The correct choice is the second option.
Fierce describes someone or something that is intense, aggressive, or strong in a wild or menacing way.
Gentle describes something that is mild, kind, or tender in nature. It implies a soft or mild manner, often characterised by
Question : Directions: If ÷ means +, × means –, + means ÷, and – means ×, then 64 ÷ 13 + 65 – 15 × 48 + 8 = ?
Option 1: 63
Option 2: 49
Option 3: 57
Option 4: 61
Correct Answer: 61
Solution : Given: If ÷ means +, × means –, + means ÷, and – means ×, then 64 ÷ 13 + 65 – 15 × 48 + 8 = ?
After replacing the signs according to the instructions the equation is as follows – ⇒ 64
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