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Question : Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$, respectively, on the circumference of the major sector of the circle with centre $O$. What is the value (in degrees) of $(\angle ABC+\angle ACB)$, if $\angle BDC=73^{\circ}?$
Option 1: $117^{\circ}$
Option 2: $107^{\circ}$
Option 3: $103^{\circ}$
Option 4: $113^{\circ}$
Correct Answer: $107^{\circ}$
Solution : Given: Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$. $\angle BDC=73^{\circ}$ So, $\angle BAC=73^{\circ}$ (common base) We know that in $\triangle ABC$, $\angle ABC+\angle BAC+\angle ACB=180^{\circ}$ Putting the value of $\angle BAC=73^{\circ}$, we have, ⇒ $\angle ABC+73^{\circ}+\angle ACB=180^{\circ}$ ⇒
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, the following pattern is being followed – 1. The lines with the square on the top change to the line with an asterisk on the top in every alternate box one by one, starting from the left side from the second box
Question : Among the given elements, which comes first in the periodic table of elements?
Option 1: Neon
Option 2: Sodium
Option 3: Silicon
Option 4: Potassium
Correct Answer: Neon
Solution : The correct answer is Neon.
In the modern periodic table, elements are arranged according to their atomic number. Hence, Neon comes first among the given elements, with atomic number 10 (symbol Ne). Sodium has an atomic number 11 (symbol Na), and silicon has an atomic
Question : Directions: In a certain code language, MANAGE is written as HJDQDP, and LITTLE is written as HOWWLO. How will POLICY be written in that language?
Option 1: CPMDOZ
Option 2: QPMJDZZ
Option 3: YCILOP
Option 4: BFLORS
Correct Answer: BFLORS
Solution : Given: MANAGE is written as HJDQDP and LITTLE is written as HOWWLO.
Add 3 to the place value of each letter of MANAGE and, then reverse the letters, to get the required code – M + 3 = P; A + 3 = D; N
Question : At the beginning of a partnership business, the capital of B was $\frac{3}{2}$ times that of A. After 8 months B withdrew $\frac{1}{2}$th of his capital and after 10 months A withdrew $\frac{1}{4}$th of his capital. At the end of the year, if the profit incurred is Rs. 53,000, find the amount received by A.
Option 1: Rs. 30,800
Option 2: Rs. 32,000
Option 3: Rs. 30,000
Option 4: Rs. 23,000
Correct Answer: Rs. 23,000
Solution : Let A invest Rs. $x$ at the beginning of the partnership business, then the ratio of the profit A and B, $=(x\times10+\frac{3x}{4}\times2):(\frac{3x}{2}\times8+\frac{3x}{4}\times4)$ $=\frac{23x}{2}:15x$ $=23:30$ The amount received by A in the profit, $=\frac{23}{53}\times53000$ = Rs. 23,000 Hence, the correct answer is Rs. 23,000.
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. He described about the scenery yesterday.
Option 1: described about the scenary
Option 2: described the scenery
Option 3: describing about the scenery
Option 4: describe the scenery
Correct Answer: described the scenery
Solution : The correct choice is the second option.
Describe does not require the use of the preposition about when discussing something.
Thus, the correct statement is: He described the scenery yesterday.
Question : Direction: The bar graph given indicates the income of a firm. Study the graph and answer the question given.
During which month, the ratio of the income to that of the previous month is the largest?
Option 1: February
Option 2: March
Option 3: April
Option 4: May
Correct Answer: March
Solution : May's percentage drop = $\frac{450 – 400}{450}\times 100=11.11$% April's percentage drop = $\frac{200 – 180}{200}\times 100=10$% March's percentage rise = $\frac{240 – 110}{110}\times 100=118.18$% February's percentage reduction = $\frac{350 – 300}{350}\times 100=14.28$% January's percentage rise = $\frac{230 – 220}{220}\times 100=4.54$% Thus, the maximum growth occurred
Question :
Directions: In the following question, select the related word from the given alternatives. Car : Garage :: ? : Hangar
Option 1: Train
Option 2: Truck
Option 3: Aeroplane
Option 4: Bus
Correct Answer: Aeroplane
Solution :
Given: Car : Garage :: ? : Hangar
Like, a garage is a place where cars are parked. Similarly, a hangar is a place where aeroplanes are kept.
Hence, the third option is correct.
Question : Directions: Select the option related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. OESTD : UAVXI :: UISRY : ?
Option 1: AOVYD
Option 2: AEVVD
Option 3: EAVVD
Option 4: AEVWD
Correct Answer: AEVVD
Solution : Given: OESTD : UAVXI :: UISRY : ?
Subtract 4 from the second letter and add the consecutive natural numbers (starting from 3) in the positional value of the third, fourth, fifth, and first letter of OESTD to obtain the required code – O +
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (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.) (3, 4, 24) (4, 5, 40)
Option 1: (4, 6, 35)
Option 2: (5, 7, 42)
Option 3: (3, 7, 21)
Option 4: (2, 7, 28)
Correct Answer: (2, 7, 28)
Solution : Given: (3, 4, 24); (4, 5, 40)
In the above-given sets, multiply 2 by the product of the first and second numbers. (3, 4, 24)→3 × 4 = 12; 12 × 2 = 24 (4, 5, 40)→4 × 5 = 20; 20 ×
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