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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
Question : Directions: Pranav went 10 kilometres to the north. Then he turned West and covered 10 kilometres. Then he turned south and covered 5 kilometres. Finally, he turned to the east and covered 10 kilometres. In which direction is he from the starting point?
Option 1: South
Option 2: North
Option 3: East
Option 4: West
Correct Answer: North
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and D is the end point of Pranav.
So, Pranav is in the north direction from the starting point. Hence, the second option is correct.
Question : If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:
Option 1: $9$
Option 2: $\sqrt{143}$
Option 3: $\sqrt{63}$
Option 4: $7$
Correct Answer: $\sqrt{63}$
Solution : Given, the distance between the centres of two circles is 12 cm ($d$) and the radii are 5 cm ($r_1$) and 4 cm ($r_2$). Length of the transverse common tangent line to the circle = $\sqrt{d^2-(r_1+r_2)^2}$ = $\sqrt{12^2-(5+4)^2}$ = $\sqrt{144-81}$ = $\sqrt{63}\ \text{cm}$ Hence, the
Question : Sixteen years ago, my grandfather was 9 times older than me. Eight years from now, he will be 3 times my age. Determine the ratio of my age to my grandfather's age eight years ago.
Option 1: 3 : 8
Option 2: 2 : 5
Option 3: 1 : 2
Option 4: 1 : 5
Correct Answer: 1 : 5
Solution : 16 years ago, let my age and my grandfather's age be $x$ years and $9x$ years respectively. According to the question, $9x+16+8=3(x+16+8)$ ⇒ $9x+24=3x+48+24$ ⇒ $6x=48$ ⇒ $x=8$ Required ratio 8 years ago, = $(x+8):(9x+8)$ = (8 + 8) : (9 × 8
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