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Question : In a triangle$\frac{AB}{AC}=\frac{BD}{DC}$, $\angle$B = 70° and $\angle$C = 50°, then $\angle$BAD =?
Option 1: 60°
Option 2: 20°
Option 3: 30°
Option 4: 50°
Correct Answer: 30°
Solution : Given: $\frac{AB}{AC}=\frac{BD}{DC}$ $\angle$A = 180° – $\angle$B – $\angle$C = 180° – 70° – 50° = 60° We know that if a line through one of the vertex of a triangle divides the opposite side in the ratio of the other two sides, the line
Question : Of the 552 members of the Lok Sabha, ______ members represent the states.
Option 1: 520
Option 2: 540
Option 3: 530
Option 4: 550
Correct Answer: 530
Solution : The correct answer is 530
The Lok Sabha, with a total strength of 552 seats, comprises 530 elected members representing states, 20 elected members representing Union Territories, and the remaining 2 seats reserved for members of the Anglo-Indian Community. These two seats are nominated by
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 121
Option 2: 82
Option 3: 131
Option 4: 74
Correct Answer: 131
Solution : Here, the product of numbers on opposite sides and the sum of their resultants gives the middle number.
Like, (4 × 6) + (6 × 7) = 24 + 42 = 66 And, (8 × 9) + (14 × 5) = 72 + 70 =
Question : Directions: Which of the following diagrams represents the relationship between Sister, Mother, and Brother?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The gender of a brother is male, while that of a sister and mother is female. So, their circles will not intersect. But, some sisters can be mothers and some mothers can be sisters. So, they will have a common area. Therefore, the Venn diagram is
Question : A man can build a wall in 70 hours. After 7 hours, he takes a break. What fraction of the wall is yet to be built?
Option 1: 0.9
Option 2: 0.8
Option 3: 0.5
Option 4: 0.75
Correct Answer: 0.9
Solution : The work done of a man in 1 hour $=\frac{1}{70}$ ⇒ The work done of a man in 7 hour $=\frac{7}{70}=\frac{1}{10}$ The fraction of the wall that is yet to be built $=1-\frac{1}{10} = \frac{9}{10}=0.9$ Hence, the correct answer is 0.9.
Question : The pie chart given below shows the number of girls in six schools. The total number of girls in all these six schools is 8000. Number of girls in a particular school is shown as a percentage of total number of girls in all these six schools. What is the difference between the central angle formed by sectors M and Q?
Option 1: 64.3°
Option 2: 82.8°
Option 3: 74.3°
Option 4: 93.5°
Correct Answer: 82.8°
Solution : Given, The total number of girls in all these six schools is 8000 The difference between the central angle formed by sectors M and Q $= \frac{\text{ The difference of percentage of M and Q }}{\text{100}}\times 360°$ $=\frac{37-14}{100}\times 360°=\frac{23}{100}\times 360° = 82.8°$ Hence, the correct
Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements. Statements: I. All directors are actors. II. Some actors are writers. III. No writer is a producer. Conclusions: I. Some directors are writers II. No producer is a director
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Correct Answer: Neither conclusion I nor II follows
Solution : According to the given statements, the following Venn diagram can be drawn –
Let's analyse the conclusions – Conclusion I: Some directors are writers – From the above diagram, it can be seen that there is no direct relation between
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer. My elder brother / yesterday had took / my Facebook password.
Option 1: my Facebook password
Option 2: yesterday had took
Option 3: My elder brother
Option 4: No error
Correct Answer: yesterday had took
Solution : The error lies in the second option.
Explanation: The past perfect tense ("had took") is not appropriate here because the sentence is already anchored in the past by the word "yesterday". The correct construction is to use the simple past tense for the
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 6, 9, 7, 10, 8, 11, ?
Option 1: 12
Option 2: 9
Option 3: 11
Option 4: 10
Correct Answer: 9
Solution : Given: 6, 9, 7, 10, 8, 11, ?
Every alternate number in the series is a consecutive natural number as shown below – (I) 6, 9, 7, 10, 8, 11, ?→6 + 1 = 7; 7 + 1 = 8; 8
Question : Directions: Which number will replace the question mark (?) in the following series? 28, 30, ?, 188, 754, 3772
Option 1: 120
Option 2: 62
Option 3: 60
Option 4: 122
Correct Answer: 62
Solution : Given: 28, 30, ?, 188, 754, 3772
Multiply the number by consecutive natural number and add 2 to the resultant, to get the required missing number – (28 × 1) + 2 = 28 + 2 = 30 (30 × 2) + 2 = 60
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