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Question : The sides of a triangle are in the ratio $\frac{1}{3}: \frac{1}{5}: \frac{1}{6}$. If the perimeter is 147 cm, then the length of the smallest side is_____.
Option 1: 12 cm
Option 2: 25 cm
Option 3: 30 cm
Option 4: 35 cm
Correct Answer: 35 cm
Solution : Given that the sides of a triangle are in the ratio $\frac{1}{3}: \frac{1}{5}: \frac{1}{6}$ And Perimeter = 147 cm Let the sides be $\frac{x}{3},$ $\frac{x}{5},$ and $\frac{x}{6}$ According to the question, $\frac{x}{3}+\frac{x}{5}+\frac{x}{6}=147$ ⇒ $\frac{10x+6x+5x}{30}=147$ ⇒ $21x=147\times 30$ ⇒ $x=7\times 30 $ ⇒ $x=210$ cm
Question : Direction: Which of the following jumbled words is not an animal or an insect?
Option 1: LATHPEEN
Option 2: TAR
Option 3: FEFEOC
Option 4: TICRECK
Correct Answer: FEFEOC
Solution : Option first:
LATHPEEN → ELEPHANT. Here, the elephant is an animal.
Option second:
TAR → RAT. Here, the rat is an animal.
Option third:
FEFEOC → COFFEE. Here, coffee is one of the beverages. So, coffee is the wrong option.
Question : One of the ______, the giant redwood tree Sequoia, is one of the tallest tree species.
Option 1: mosses
Option 2: pteridophytes
Option 3: liverworts
Option 4: gymnosperms
Correct Answer: gymnosperms
Solution : The correct answer is gymnosperms.
One of the gymnosperms, the giant redwood tree Sequoia, is one of the tallest tree species. Gymnosperms are a group of seed-producing plants that include conifers like the Sequoia. Renowned for their immense height, these trees exemplify the grandeur
Question : Directions: If (3)2 @ 1 * 7 = 98 and (4)2 @ 2 * 16 = 178, then (5)2 @ 3 * 9 = ?
Option 1: 218
Option 2: 262
Option 3: 253
Option 4: 259
Correct Answer: 262
Solution : Given: (3)2 @ 1 * 7 = 98, (4)2 @ 2 * 16 = 178
Use the following operations in place of the given symbols @ and * – Like, (3)2 @ 1 * 7 = 98 (3)2 × 10 +
Question : Direction: If TODAY is coded as UQECZ, how can BEFORE be coded?
Option 1: CCBHIG
Option 2: HIJQSG
Option 3: CGGQSG
Option 4: CPSSF
Correct Answer: CGGQSG
Solution : Given:
TODAY is coded as UQECZ
Here, T + 1 = U ; O + 2 = Q ; D + 1 = E ; A + 2 = C ; Y + 1 = Z
Similarly, BEFORE will be coded as:
B + 1
Question : The following sentence has been divided into four parts. One of them contains an error. Select the part that contains the error from the given options.
The English / often / fought / French.
Option 1: French
Option 2: often
Option 3: fought
Option 4: The English
Correct Answer: French
Solution : The correct choice is the first option.
Explanation: French represents the language of France, also used in parts of Belgium, Switzerland, and Canada, in several countries of northern and western Africa and the Caribbean, and elsewhere. whereas the French points to the people of
Question : If the radii of two circles are 7 cm and 4 cm and the length of the transverse common tangent is 13 cm, then the distance between the two centres is:
Option 1: $\sqrt{290}$ cm
Option 2: $\sqrt{190}$ cm
Option 3: $\sqrt{128}$ cm
Option 4: $\sqrt{240}$ cm
Correct Answer: $\sqrt{290}$ cm
Solution : Given, $r{_1}$ = 7 cm and $r{_2}$ = 4 cm The length of the transverse common tangent = 13 cm The length of a transverse common tangent $=\sqrt{d^2−(r{_1}+r{_2})^2}$ ⇒ $13=\sqrt{d^2−(7+4)^2}$ ⇒ $13^2=d^2-11^2$ ⇒ $169=d^2-121$ ⇒ $d^2=290$ ⇒ $d=\sqrt{290}$ cm Hence, the correct answer is
Question : Macroeconomics deals with which of the following studies? I. Reasons behind the unemployment of resources. II. Determination of total output.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
I. The reason behind the unemployment of resources.
II. Determination of total output.
A branch of Economics known as macroeconomics studies the composition, dynamics and behaviour of the global economy.
It focuses on
Question : Directions: What should come in place of the question mark (?) to complete the following letter cluster series? FHG, IKJ, LNM, ?
Option 1: QOP
Option 2: OPQ
Option 3: OQP
Option 4: PRQ
Correct Answer: OQP
Solution : Given: FHG, IKJ, LNM, ?
In the above-given series, add 3 to the place of each letter of the previous letter cluster to get the next letter cluster. FHG→F + 3 = I; H + 3 = K; G + 3 = J→IKJ IKJ→I +
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 10, 29, 66, 127, ?
Option 1: 330
Option 2: 115
Option 3: 218
Option 4: 273
Correct Answer: 218
Solution : Given: 10, 29, 66, 127, ?
The pattern is as follows – 23 + 2 = 8 + 2 = 10; 33 + 2 = 27 + 2 = 29; 43 + 2 = 64 + 2 = 66; 53 +
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