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Question : In a $\small\triangle P M N$, S is a point on PM that divides PM in the ratio of 5 : 7. The line segment ST is parallel to MN. If MN = 24 cm, then what is the length (in cm) of segment ST?
Option 1: 16
Option 2: 17
Option 3: 14
Option 4: 10
Correct Answer: 10
Solution : Given: $MN =24$ cm $PS: SM=5:7$ Let $PS = 5x$ and $SM=7x$ ⇒ $PM = 5x+7x=12x$ Applying the congruent triangle rule on $\small\triangle PMN$ and $\small\triangle PST$ ⇒ $\frac{ST}{PS}=\frac{MN}{PM}$ ⇒ $\frac{ST}{5x}=\frac{24}{12x}$ ⇒ $ST=\frac{2}{x}\times5x$ $\therefore ST=10$ cm Hence, the correct answer is 10.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Even though she was disliked by her in-laws at the beginning of her marriage, she did manage to win their hearts.
(1) win over their
(2) win over there
(3) win them over their
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option.
"Win their hearts" implies that she made efforts to establish a positive and loving relationship with her in-laws, and she succeeded in doing so.
Therefore, the given sentence requires no improvement.
Question : Choose the incorrectly spelled word.
Option 1: Majestic
Option 2: String
Option 3: Tokan
Option 4: Lovable
Correct Answer: Tokan
Solution : The correct choice is the third option.
The incorrectly spelled word is: Tokan
The correct word is token, which is a small, symbolic object representing something else. It can also refer to a voucher, coin, or other object used to represent a specific value,
Question : Which one of the following states does not form part of Narmada River basin ?
Option 1: Madhya Pradesh
Option 2: Rajasthan
Option 3: Gujarat
Option 4: Maharashtra
Correct Answer: Rajasthan
Solution : The correct option is Rajasthan.
The Narmada River basin is a major river basin in central India. The states that form part of the Narmada River basin include: Madhya Pradesh, Maharashtra and Gujarat. These three states primarily contribute to the Narmada River basin, with Madhya
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. 3, 5, 9, 15, 23, 33, 45, 59, ?
Option 1: 81
Option 2: 60
Option 3: 75
Option 4: 72
Correct Answer: 75
Solution : Given: 3, 5, 9, 15, 23, 33, 45, 59, ?
Add the successive multiples of 2 to the given term to obtain the next term. 3 + 2 = 5; 5 + 4 = 9; 9 + 6 = 15; 15 + 8 = 23;
Question : By which amendment were 'Fundamental Duties' added to the Constitution?
Option 1: 40th Amendment
Option 2: 42nd Amendment
Option 3: 44th Amendment
Option 4: 45th Amendment
Correct Answer: 42nd Amendment
Solution : The correct option is the 42nd Amendment.
The 42nd Amendment Act of 1976 amended the Indian Constitution to include the Fundamental Duties. A new Part IV-A was added to the Constitution with this amendment detailing the fundamental duties of citizens. The Indian Constitution outlines
Question : Which is the most suitable unit for expressing nuclear radius?
Option 1: Micron
Option 2: Nanometre
Option 3: Fermi
Option 4: Angstrom
Correct Answer: Fermi
Solution : The correct answer is Fermi.
The nuclear length is quantified using the unit called the "fermi" (fm), where 1 fermi is equivalent to 10-15 meters. This unit, originally named after the Italian physicist Enrico Fermi, has been replaced by the SI term "femtometer" (symbol:
Question : Which of these is not the correctly stated component of the expenditure method of measuring national income?
Option 1: Final investment expenditure by firms
Option 2: Final government expenditure
Option 3: Export plus import expenditure
Option 4: Final consumption expenditure by households
Correct Answer: Export plus import expenditure
Solution : The correct option is Export plus import expenditure.
National income refers to the total income earned by the residents of a country within a specific period, typically a year. It is a crucial economic statistic that shows how well a country is
Question : The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use $\pi=\frac{22}{7}$ ).
Option 1: 17.53 cm2
Option 2: 13.75 cm2
Option 3: 13.57 cm2
Option 4: 17.35 cm2
Correct Answer: 13.75 cm2
Solution : Let AOB be the sector with O as the centre. Given: Radius = r = 5 cm Perimeter of sector = 15.5 cm So, OA + AB + OB = 15.5 ⇒ 5 + 5 + AB = 15.5 ⇒ AB = 5.5
Question :
The colour of the eye depends upon the pigment present in:
Option 1:
cornea
Option 2:
iris
Option 3:
rods
Option 4: cones
Correct Answer:
Solution : The correct option is the iris.
The colour of the eye depends on the amount and type of pigments present in the iris, which is the coloured part of the eye. The iris is the coloured part of the eye that surrounds the pupil.
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