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Question : Evaluate $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, given that $\sqrt{6}=2.45$.
Option 1: 7.7
Option 2: 9.9
Option 3: 8.8
Option 4: 6.6
Correct Answer: 9.9
Solution : $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ Rationalizing the denominator, = $\frac{(\sqrt{3}+\sqrt{2})^2}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}$ = $\frac{(3+2+2\sqrt{6})}{(3-2)}$ = $5+2\sqrt6$ = 5 + (2 × 2.45) = 5 + 4.9 = 9.9 Hence, the correct answer is 9.9.
Question : How many types of taxes were in the reign of Alauddin Khalji?
Option 1: 3
Option 2: 5
Option 3: 6
Option 4: 2
Correct Answer: 3
Solution : The correct answer is 3.
The three types of taxes used by Khalji were jizya, gharia, and zakat. These taxes are the sources of money in his treasure. Despite that, he also used to impose extra taxes on Hindus. The tax levied on non-Muslims in
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: HJNT
Option 2: PRVB
Option 3: SUXZ
Option 4: MOSY
Correct Answer: SUXZ
Solution : Let's check the options – First option: HJNT; H + 2 = J; J + 4 = N; N + 6 = T Second option: PRVB; P + 2 = R; R + 4 = V; V + 6 = B Third option: SUXZ; S
Question : Select the INCORRECTLY spelt word.
Option 1: Cushion
Option 2: Scientist
Option 3: Posthumusly
Option 4: Laboratory
Correct Answer: Posthumusly
Solution : The correct answer is the third option.
The incorrectly spelled word is "posthumously." The correct spelling is "posthumously".
It is an adverb used to describe something that happens, is awarded, or is published after the death of the person to whom it is dedicated.
The
Question : Select the most appropriate synonym of the given word. Predicament
Option 1: Ease
Option 2: Quandary
Option 3: Blessing
Option 4: Solution
Correct Answer: Quandary
Solution : The correct choice is the second option.
A predicament is a difficult or challenging situation, often involving a dilemma or problem and a quandary refers to a state of uncertainty or a difficult situation, making it a synonym for predicament.
The meanings of
Question : Thermal electricity is generated by using which of these ?
Option 1: Coal only
Option 2: Coal and Natural Gas only
Option 3: Coal, Natural Gas and Petroleum
Option 4: None of these
Correct Answer: Coal, Natural Gas and Petroleum
Solution : The correct option is Coal, Natural Gas and Petroleum.
Thermal power is produced mostly from coal, natural gas and petroleum. Thermal power generation or thermoelectric power generation is named to the process of generation of energy from steam. One of the
Question : Who among the following was the first person to discuss the poverty line in pre-independent India?
Option 1: Dadabhai Naoroji
Option 2: Mahalanobis
Option 3: B. R. Ambedkar
Option 4: R. K. Shanmukham Chetty
Correct Answer: Dadabhai Naoroji
Solution : The Correct Option is Dadabhai Naoroji.
Dadabhai Naoroji was the first person to bring forward the idea of a poverty line in pre-independent India. He arrived at what may be referred to as the "cost of living in jail" by using the menu
Question : Two circles touch each other externally. The radius of the first circle with centre A is 18 cm. The radius of the second circle with centre B is 8 cm. Find the length of their common tangent CD.
Option 1: 23 cm
Option 2: 26 cm
Option 3: 24 cm
Option 4: 25 cm
Correct Answer: 24 cm
Solution : Given: The radius of the first circle, $r_1$ = 18 cm The radius of the second circle, $r_2$ = 8 cm We know that, Length of the direct common tangent $=2 \sqrt{r_1 \times r_2}$ $=2 \sqrt{18 \times 8}$ $=2 \sqrt{144}$ $=2 \times 12$ $=
Question : Ram covers a distance in 8 hours and Mohan covers the same distance in 4 hours. If the speed of Mohan is 10 km/hr more than Ram, then which of the following statements is/are correct? I. The speed of Mohan is 20 km/hr. II. Sum of their speed is 30 km/hr.
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
Correct Answer: Both I and II
Solution : Let the speed of Ram be $x$ km/hr ⇒ Speed of Mohan = $(x+10)$ km/hr Distance covered by Ram in 8 hours $= x × 8 = 8x$ km Distance covered by Mohan in 4 hours $= (x + 10) × 4
Question : X and Y together can do a piece of work in 30 days. Z alone can do it in 60 days. If they worked together, then in how many days they can finish the work?
Option 1: 50
Option 2: 25
Option 3: 45
Option 4: 20
Correct Answer: 20
Solution : X and Y together can do a piece of work in 30 days. ⇒ 1 day's work of X + Y = $\frac{1}{30}$ Z alone can do it in 60 days. ⇒ 1 day's work of Z = $\frac{1}{60}$ So, 1 day's work of X
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