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Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
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. Here, according to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the left,
Question : If $(r\cos \theta -\sqrt{3})^{2}+(r\sin \theta -1)^{2}=0$, then the value of $\frac{r\tan \theta +\sec \theta}{r\sec \theta +\tan\theta}$ is equal to:
Option 1: $\frac{4}{5}$
$\frac{5}{4}$
$\frac{\sqrt{3}}{4}$
$\frac{\sqrt{5}}{4}$
Correct Answer: $\frac{4}{5}$
Solution : $(r\cos \theta -\sqrt{3})^{2}+(r\sin \theta -1)^{2}=0$ $⇒(r\cos \theta -\sqrt{3})^{2}=0$ and $(r\sin \theta -1)^{2}=0$ $⇒r\cos\theta =\sqrt3$ and $r\sin \theta =1$ $\therefore\tan\theta = \frac{1}{\sqrt3}$ Now, $r^2\sin^2\theta + r^2\cos^2\theta =4$ $⇒r^2 (\sin^2\theta + \cos^2\theta) =4$ Using identity $\sin^2\theta + \cos^2\theta=1$, we get, $⇒r^2 =4$ $⇒r= 2$ Using identity: $1+\tan^2\theta
Question : Select the INCORRECTLY spelt word.
Option 1: Abhorrent
Option 2: Abseil
Option 3: Acede
Option 4: Abscess
Correct Answer: Acede
Solution : The correct choice is the third option.
Explanation:
The correct spelling is accede, not "acede". The correct form, "accede", means to agree or consent.
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed).
Option 1: 10 – 100
Option 2: 8 – 62
Option 3: 6 – 36
Option 4: 4 – 16
Correct Answer: 8 – 62
Solution : Let's check each option – First option: (10 – 100); 102 = 100 Second option: (8 – 62); 82 = 64 ≠ 62 Third option: (6 – 36); 62 = 36 Fourth option: (4 – 16); 42 = 16
Question : Two years ago, the value of my motorbike was Rs. 62,500. If the value depreciates by 4% every year, its value now is:
Option 1: Rs. 56,700
Option 2: Rs. 57,600
Option 3: Rs. 57,500
Option 4: Rs. 55,700
Correct Answer: Rs. 57,600
Solution : Given: Two years ago, the price of the bike was Rs. 62,500. Rate of depreciation = 4% Solution: Its value depreciates by 4% every year. Value of the bike 1 year ago = 62500 – 4% of 62500 ⇒ Value 1 year ago =
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. ABCD, CTFZ, ELIV, GDLR, ?
Option 1: ITOQ
Option 2: QMQR
Option 3: IMOQ
Option 4: IVON
Correct Answer: IVON
Solution : Given: ABCD, CTFZ, ELIV, GDLR, ?
Add 2 and 3 to the positional values of the first and the third letters and subtract 8 and 4 from the positional values of the second and the fourth letters of the previous term to obtain the next
Question : Which of the following players is associated with boxing?
Option 1: Archana Kamath
Option 2: Lovlina Borgohain
Option 3: Hima Das
Option 4: Manika Batra
Correct Answer: Lovlina Borgohain
Solution : The correct answer is Lovlina Borgohain.
Lovlina Borgohain, a 26-year-old Indian boxer from Golaghat district, Assam, competes in the 69 kg category. She secured a bronze medal in the women's welterweight division at the 2020 Tokyo Olympics. Lovlina Borgohain became the third Indian
Question : Directions: In the following question, select the missing number of the given series. 17, 19, 23, 29, 31, ?
Option 1: 30
Option 2: 47
Option 3: 40
Option 4: 37
Correct Answer: 37
Solution : Given: 17, 19, 23, 29, 31, ?
The series mentioned is a set of prime numbers, which are all integers greater than 1 and are only divisible by 1 and themselves. The prime numbers in this series range from 13 to 37, which includes the
Question : As of 31 May 2020, who was the Chief Information Commissioner of India?
Option 1: Suresh Chandra
Option 2: Bimal Julka
Option 3: Divya Prakash Sinha
Option 4: Neeraj Kumar Gupta
Correct Answer: Bimal Julka
Solution : The correct answer is Bimal Julka
Bimal Julka was the Chief Information Commissioner of India as of May 31, 2020. He was a 1979 batch IAS officer of the Madhya Pradesh cadre. The Chief Information Commissioner of India is appointed by the President of
Question : Select the most appropriate SYNONYM of the underlined word.
Syam does not intervene in others' affairs.
Option 1: Meddle
Option 2: Speak
Option 3: Trouble
Option 4: Help
Correct Answer: Meddle
Solution : The correct choice is the first option.
Explanation: The aim is to find a word that conveys the idea of getting involved in or interfering in others' affairs. Meddle is the appropriate synonym, as it means to intrude or interfere in a situation without
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