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Question : The bar chart given below shows the sales (in 000 units) of 4 mobile brands for 3 years. In 2017, the sales of each brand increased by the same percentage as it did in the year 2016. What will be the approximate average sales (in units) of mobiles per brand in the year 2017?
Option 1: 9175
Option 2: 8360
Option 3: 9436
Option 4: 9678
Correct Answer: 9175
Solution : As per the given graph: In 2017, the sales of each brand increased by the same percentage as it did in the year 2016. The increase in sales of Brand 1 in 2016 = $\frac{7.5-5.5}{5.5}×100=36.36\%$ The sales of Brand 1 in 2017 = $7.5+(7.5×\frac{36.36}{100})=10.2$ units
Question : Directions: A bus driver started from point A and drove 25 km towards the east. He turned left and drove 30 km. He then turned left and drove 15 km. He again turned left drove 30 km and reached point B. How far and in which direction is the point B from the point A?
Option 1: 40 km, West
Option 2: 10 km, West
Option 3: 40 km, East
Option 4: 10 km, East
Correct Answer: 10 km, East
Solution : According to the instructions given, the diagram is as follows –
Here, A is the starting point and B is the finishing point and AB is the total distance from the starting point.
AC = 25 km; BC = ED = 15 km;
Question : Directions: If A means ×, B means +, C means –, and D means ÷, then 66 A 3 D 11 B 43 C 48 D 12 = ?
Option 1: 57
Option 2: 47
Option 3: 43
Option 4: 61
Correct Answer: 57
Solution : Given: 66 A 3 D 11 B 43 C 48 D 12 = ?
After replacing the letters with the mathematical signs, we get – = 66 × 3 ÷ 11 + 43 – 48 ÷ 12 = 18 + 43 – 4 = 61
Question : If $x^4+x^{-4}=47, x>0$, then what is the value of $x+\frac{1}{x}-2?$
Option 1: 1
Option 2: 0
Option 3: 5
Option 4: 3
Correct Answer: 1
Solution : Given expression, $x^4+x^{-4}=47$ ⇒ $x^4+\frac{1}{x^4}=47$ Adding 2 on both sides, ⇒ $x^4+\frac{1}{x^4}+2=47+2$ ⇒ $x^4+\frac{1}{x^4}+2\times x^2\times\frac{1}{x^2}=49$ ⇒ $(x^2+\frac{1}{x^2})^2=7^2$ [As $a^2+b^2+2ab=(a+b)^2$] ⇒ $x^2+\frac{1}{x^2}=7$ Again adding 2 on both sides, ⇒ $x^2+\frac{1}{x^2}+2=7+2$ ⇒ $x^2+\frac{1}{x^2}+2\times x\times\frac1x=9$ ⇒ $(x+\frac1x)^2=3^2$ ⇒ $x+\frac1x=3$ ⇒ $x+\frac1x-2=3-2$ $\therefore x+\frac1x-2=1$ Hence, the correct answer is
Question : As of 2022, there are ______ states in India.
Option 1: 30
Option 2: 28
Option 3: 31
Option 4: 21
Correct Answer: 28
Solution : The correct answer is 28.
There are 28 states and 8 Union Territories in India as of 2022. The youngest State formed was Telangana in 2014. From 31st October 2019, Jammu and Kashmir state was bifurcated into two union territories: Jammu and Kashmir and
Question : Select the most appropriate ANTONYM of the given word. Native
Option 1: Vicinity
Option 2: Realm
Option 3: Foreign
Option 4: Aboriginal
Correct Answer: Foreign
Solution : The correct choice is the third option.
Foreign refers to something that comes from or belongs to a different country or place whereas the term native refers to something or someone that originates from a particular place or area.
The meanings of other words
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 5, 9, 6, 11, 7, ?
Option 1: 13
Option 2: 15
Option 3: 17
Option 4: 19
Correct Answer: 13
Solution : Given: 5, 9, 6, 11, 7, ?
Add 1 and 2 alternatively to the numbers of the given series as shown below –
So, 13 is the missing number. Hence, the first option is correct.
Question : Nirmala Sitharaman launched the Tejaswini scheme for the people of ______ in November 2021.
Option 1: Rajasthan
Option 2: Punjab
Option 3: Karnataka
Option 4: Jammu and Kashmir
Correct Answer: Jammu and Kashmir
Solution : The correct answer is Jammu and Kashmir.
Nirmala Sitharaman has launched two Jammu and Kashmir Bank programs for girls, dubbed the "Tejasvini and Hausala Schemes." Tejaswini Scheme, a credit score outreach program, was launched in Jammu. The plan aims to give financial support
Question : Select the option that expresses the given sentence in passive voice. Did Rani call you?
Option 1: Did you called by Rani?
Option 2: Was you called by Rani?
Option 3: Were you called by Rani?
Option 4: Are you called by Rani?
Correct Answer: Were you called by Rani?
Solution : The third option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive voice.
Question : If $t^{2}-4t+1=0,$ then the value of $t^3+\frac{1}{t^3}$ is:
Option 1: 44
Option 2: 48
Option 3: 52
Option 4: 64
Correct Answer: 52
Solution : Given: $t^2 - 4t + 1 = 0$ ⇒ $t^2 + 1 = 4t$ ⇒ $\frac{t^2 + 1}{t} = 4$ ⇒ $t + \frac{1}{t} = 4$ On cubing both sides, $(\frac{t + 1}{t})^3 = 4^3$ Using identity: $(a+b)^{3}=a^{3}+b^{3}+3ab(a+b)$, We get: $t^3 + \frac{1}{t^3} + 3(t+\frac{1}{t})=
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