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Question : Directions: Select the option figure that is embedded in the figure (X) given below (rotation is not allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure. By comparison of all the option figures, only the first option figure is embedded in the given question figure.
Question : The ratio of the volume of the first and second cylinders is 32 : 9 and the ratio of their heights is 8 : 9. If the area of the base of the second cylinder is 616 cm2, then what will be the radius of the first cylinder?
Option 1: 24 cm
Option 2: 20 cm
Option 3: 28 cm
Option 4: 36 cm
Correct Answer: 28 cm
Solution : Volume of cylinder = $\pi r^2h$ The volume of the cylinder can be written as $32y$ and $9y$ The height of the cylinder can be written as $8h$ and $9h$ Since we know that the volume of the cylinder = Area of the base
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and ×
Option 1: 7 + 5 × 2 – 8 ÷ 4 = 36
Option 2: 95 ÷ 19 + 5 × 3 – 6 = 22
Option 3: 13 + 4 × 5 – 6 ÷ 2 = 51
Option 4: 4 × 3 + 6 – 7 ÷ 1 = 18
Correct Answer: 95 ÷ 19 + 5 × 3 – 6 = 22
Solution : Let's check the options – First option: 7 + 5 × 2 – 8 ÷ 4 = 36 On interchanging the given signs, the equation becomes – ⇒ 7 × 5 + 2 – 8
Question : The Human Development Index was developed by:
Option 1: Amartya Sen
Option 2: Milton Friedman
Option 3: Mahbub ul Haq
Option 4: Montek Singh Ahluwalia
Correct Answer: Mahbub ul Haq
Solution : The correct answer is Mahbub ul Haq.
The Human Development Index (HDI) was developed by the Pakistani economist Mahbub ul Haq. Every year the United Nations development program ranks countries based on the Human Development Index report. HDI is a kind of tool
Question : If the simple interest on a certain sum of money is INR 11,220 at the rate of $16 \frac{1}{2} \%$ per annum for 8 years and 3 months, then what is the principal amount (in INR, rounded off to the nearest rupee)?
Option 1: 4,228
Option 2: 6,822
Option 3: 8,422
Option 4: 8,242
Correct Answer: 8,242
Solution : Simple interest (SI)= $\frac{\text{Principal × Rate × Time}}{100}$ SI = INR 11,220 Rate = $16\frac{1}{2}$ = $\frac{33}{2}$% Time = 8 years 3 months = $8\frac{3}{12}$ = $8\frac{1}{4}$ = $\frac{33}{4}$ According to the question, 11220 = $\frac{\text{P×33×33}}{100×2×4}$ ⇒ P = $\frac{11220×800}{1089}$ = $\frac{8976000}{1089}$ = 8242.424 =
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The ruins of the spillway are a vital clue to the epic struggle that unfold as generations of Khmer engineers coped with a water system that grew complex and unruly.
(1) coped with a water system that grew complex and unruly.
(2) to the epic struggle that unfold as generations of Khmer engineers
(3) The ruins of the spillway are a vital clue
(4) No error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The verb tense in part (2) should be "unfolded" (past tense) instead of "unfold" (present tense) to maintain consistency with the past tense used earlier in the sentence ("coped").
To correct the sentence, it should be:
"The ruins of the spillway are a
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. "I am proud to (1)_____ to a religion which has taught the world both tolerance (2)_____ universal acceptance," he declared (3)_____ September 11, 1593. "We believe not only in universal toleration. (4)_____ we accept all religions as true. I am proud to belong to a nation which has sheltered the persecuted and the (5)_____ of all religions and all nations of the earth."
Select the most appropriate option to fill in the blank number 4.
Option 1: yet
Option 2: though
Option 3: and
Option 4: but
Correct Answer: but
Solution : The most appropriate choice to fill in the blank is the fourth option.
Explanation: The sentence structure indicates a contrast between the two ideas presented. The speaker believes in universal toleration, but there is a contrasting idea or condition that follows.
The conjunction but is
Question : Directions: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
Option 1: 12
Option 2: 22
Option 3: 21
Option 4: 24
Correct Answer: 21
Solution : Given: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
The position values of A, F, and I are 1, 6, and 9 respectively. On combining the place values, we get 169. Now, $\sqrt{169}\ =\ 13$ Thus, $\sqrt{AFI}$ is coded as 13. Similarly, follow the same
Question : Directions: Shown below is a multiple bar diagram depicting the changes in the roll strength of a college in four faculties from 2001–02 to 2003–04.Study the above bar diagram and answer the question.
Arts
Science
Law
Commerce
The percentage of students in law faculty in 2003-04 is:
Option 1: 14.8%
Option 2: 18.5%
Option 3: 15.6%
Option 4: 16.7%
Correct Answer: 15.6%
Solution : $\text{We have}$
$\text{Number of students in Law in 2003 - 04 = 250}$
$\text{Total Number students in 2003-04 = 1600 (by adding all students in 2003-04)}$
$\text{Percentage Change =}\frac{\text{Number of students in Law in 2003 - 04 }}{\text{Total Number of students in 2003-04}}\times100$
$\text{Percentage Change
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