HP Patwari Mock Test - 2 - HP Patwari MCQ

Here, 5 times the denominator 6 is 30.

Then for five times the numerator 5:

So, the fraction 25/30 with denominator 30 is equivalent to 5/6.

Given:

A circle of center "O" is inscribed in a triangle ABC.

Circle touches the sides AB and AC at M and N respectively.

Measurement of angle A = 70º

We know that,

1. The radius from the center of the circle to the point of tangency is perpendicular to the tangent line.

2. Sum of the angles of a quadrilateral is always 360º.

Now, According to the concept used,

∠AMO = ∠ANO = 90º

Again, it is given that  ∠MAN = 70º.

Again, from the concept used,

We can say for quadrilateral AMON,

⇒ ∠​​​​​​​AMO + ∠​​​​​​​MON + ∠​​​​​​​ONA + ∠​​​​​​​NAM = 360º 

⇒ 90º + ∠MON + 90º + 70º = 360º

⇒ ∠MON = 110º

∴ The value of ∠MON is 110º.

Given:

Discount% = 10%

Profit% = 25%

CP = 360

Formula:

Discount% = [where MP = Marked Price and SP = Selling Price]

Profit% = [where CP = Cost Price and SP = Selling Price]

Let the Marked Price be 100x.

SP =

= 90x

According to Condition,

90x = 360 x (1 + (25/100))

⇒ 90x = 360 x (5/4)

⇒ 90x = 450

⇒ x = 5

∴ Marked Price of the article = 100 × 5

= Rs. 500

If ²ⁿC₃ : ⁿC₂ = 12 : 1 ...(1)

Using the formula,

Putting equation 2 and 3 in equation 1,

⇒ 2n - 1 = 9 ⇒ 2n = 10 ⇒ n = 5.

Let the three consecutive multiples of 3 are 3x, (3x + 3) and (3x + 6).

⇒ 3x + 3x + 3 + 3x + 6 = 99 ⇒ 9x + 9 = 99 ⇒ 9x = 90 ⇒ x = 10

Thus, 3x = 3 x 10 = 30, 3x + 3 = 33, 3x + 6 = 36 

Thus, the multiples are 30, 33, 36.

Given:

Rate of interest = 2.5% per month

Amount paid after 6 months = Rs. 13110

Amount, A = P + SI

Simple interest,

Where P → Principal, R → rate of interest, T → time

Suppose the sum borrowed be Rs. x

A = x + 0.15x = 1.15x

1.15x = 13110

⇒ x = 11400

⇒ Amount of interest = 0.15 x 11400

= Rs. 1710

Let the price of remaining 2 books be x and y. x = 21.05%y ⇒ x = 0.2105y

⇒ Total price of 20 books = Rs. 14 × 20 = Rs. 280

⇒ Total price of 18 books = Rs. 13 × 18 = Rs. 234

Total price = Price of 18 books + Price of 2 books ⇒ 280 = 234 + x + y ⇒ 46=(1+0.2105)y ⇒ y = 38

⇒ x = 0.2105y ⇒ x = 8

Since 31x5 is a multiple of 9,

⇒ (3 + 1 + x + 5) must be a multiple of 9.

⇒ (9 + x) must be a multiple of 9.

So, according to the options, x could be 9.

∵ 9 + 9 = 18, which is a multiple of 9.

The sum of given numbers ⇒ 2(1/4) + 5(2/3) + 4(5/6) + 8(2/3)

 = 9/4 + 17/3 + 29/6 + 26/3 = 257/12

∴ The average of given four numbers = (257/12) ÷ 4 = 257/48 = 5(17/48)

The triangle formed by connecting these circles is a right triangle. It has sides equal to the sum of the radii of adjacent circles. Therefore, sides of triangle are: a = 2 + 3 = 5 inches, b = 3 + 4 = 7 inches and c = 2 + 4 = 6 inches.

Given,

= 66/6

= 11

∴ The required value is 11.

Anbu told Suresh that Priya was playing in the garden.

While changing the narration of an assertive sentence, we need to follow the given steps-

• The conjunction ‘that’ should be used in place of a comma (,) and inverted commas (“ ”).
• 'Said to' is changed into 'told'.
• The present continuous tense (is playing) is changed into the past continuous tense (was playing).

The correct sentence is: Every day, I play basketball in my school ground.

The formula to identify simple present tense is:

Subject + first form of verb + (s)/(es) + object.

Vivid means intensely deep or bright.

Lively means full of life and energy; active and outgoing.

The option that is nearest in meaning to the underlined word 'vivid' is ' lively'.

Despot means a ruler or other person who holds absolute power, typically one who exercises it in a cruel or oppressive way.

Dictator means a ruler with total power over a country, typically one who has obtained control by force.

The option that is nearest in meaning to the underlined word 'despot' is 'dictator'.

The wrongly spelt word is Optsion.

Optsion will be Option.

Option means a thing that is or may be chosen.

There is a heavy demand for these goods.

The most appropriate preposition for the given sentence is 'for'.

We use for to talk about a purpose or a reason for something.

Example: I’m going for some breakfast.

let's look at the meaning of the given idiom

At sixes and sevens: in a confused, badly organized, or difficult situation.

Example: We've been at sixes and sevens in the office this week.

The government is at sixes and sevens over the issue of domestic security.​​

​From the above lines, we can say that 'state of total confusion' is the correct meaning of the given idiom.

The word your is a possessive pronoun.

The possessive pronouns do exactly what it seems like they should do. They are the pronouns that help us show possession or ownership in a sentence. The possessive pronouns include my, mine, our, ours, its, his, her, hers, their, theirs, your, and yours. These are all words that demonstrate ownership.

Absurd means wildly unreasonable, illogical, or inappropriate.

Rational means having the ability to reason.

The option that is opposite in meaning to the underlined word 'absurd' is 'rational'.

The indirect form of the given sentence is 'She said angrily that she had been waiting there for one hour.'

The given sentence is an assertive sentence.

While changing the narration of an assertive sentence, we need to follow the given steps-

• Replace comma (,) and inverted commas (" ") with the conjunction 'that'.
• 'Said' remains unchanged.
• The present perfect continuous tense (have been waiting) is changed into the past perfect continuous tense (had been waiting).
• The first-person (I) is changed into 'she' i.e., according to the subject of the reporting verb (She).
• 'Here' is changed into 'there'.

दिए गए विकल्पों में से ‘मौन’ शब्द का विलोम मुखर है।

मौन का अर्थ - शांति, चुप्पी

मुखर का अर्थ - वाचाल, वाकपटु

दिए गए विकल्पों में से ‘इति’ शब्द का विलोम अथ है।

इति का अर्थ - अंत

अथ का अर्थ - शुरुआत

"बुनियादी शिक्षा" कृष्ण कुमार की रचना है। इस रचना में कृष्ण कुमार एक ऐसी प्रणाली से दूर जाने की आवश्यकता पर जोर देते हैं जो पूरी तरह से सूचना प्राप्त करने पर केंद्रित है और जो महत्वपूर्ण सोच, रचनात्मकता और व्यावहारिक कौशल विकसित करने पर केंद्रित है।

'अन्न-जल' में द्वंद्व समास है।

• इस समास में दोनों पद प्रधान होते हैं तथा विग्रह करने पर उनके बीच ‘तथा’, ‘या’, ‘अथवा’, ‘एवं’ या ‘और’ का प्रयोग होता है।
• 'अन्न-जल' का समास विग्रह 'अन्न और जल' होगा। इसलिए, यहाँ द्वंद्व समास है।

"अर्द्ध - अंधा" युग्म सही सुमेलित नहीं है।

"अर्द्ध" का सही तदभव "आधा" होगा।

डिस्लेक्सिया या वाचन वैकल्य के लक्षण:​

• वर्णमाला अधिगम में कठिनाई होना।
• अक्षरों की ध्वनियों को सीखने में कठिनाई होना।
• एकाग्रता में कठिनाई होना।
• पढ़ते समय वह बार-बार अटकना।
• शब्दों को उल्टा या अक्षरों का क्रम इधर-उधर कर पढ़ा जाना, जैसे नाम को मान्या, शावक को शक पढ़ना।
• वर्तनी दोष से पीड़ित होना।
• स्मरण शक्ति का कम होना। समान उच्चारण वाली ध्वनियों को ना पहचान पाना।
• शब्दकोष का आभाव होना।

अतः निष्कर्ष निकलता है कि उपरोक्त स्थिति में वर्णित बालक वाचन वैकल्य से ग्रस्त है।

छन्द-बद्ध पंक्तियों में प्रयुक्त स्वर व्यंजनों की समानता को 'तुक' कहते हैं।छन्द-बद्ध काव्य को समझने अथवा रचने के लिए छन्द के निम्नलिखित अंगों का ज्ञान होना आवश्यक है-चरण, मात्रा और वर्ण,यति, गति, तुक, संख्या, क्रम तथा गण।

'कान्तार' शब्द का पर्यायवाची शब्द जंगल है।

पर्यायवाची: पर्यायवाची शब्द उन्हें कहते हैं, जब भिन्न-भिन्न शब्दों का अर्थ समान हो, अर्थात एक ही शब्द के स्थान पर समान अर्थ वाले अलग अलग शब्द प्रयोग किये जा सके।

जंगल: वन, अरण्य, कानन, कांतार, अख़्य इत्यादि।

Ujali or Aneri Holi festivals are associated with Tharu Tribe. The community belongs to the Terai lowlands, amid the Shivaliks of the lower Himalayas. Most of them are forest dwellers and some practiced agriculture. The word Tharu is believed to be derived from Sthavir, meaning followers of Theravada Buddhism. The Tharus live in both India and Nepal.