Class 10 substitution MCQ Questions

Question 1/419 Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

किसी समांतर श्रेढ़ी में $S_n=2n^2+5n$ है। पहले (8) पदों का योग क्या होगा?

In an AP, $S_n=2n^2+5n$. What is the sum of the first (8) terms?

Explanation opens after your attempt

Correct Answer

A. (168)

Step 1

Concept

(S_8=2(8)²+5(8)=168). Put (n=8) directly in the given $S_n$.

Step 2

Why this answer is correct

The correct answer is A. (168). (S_8=2(8)²+5(8)=168). Put (n=8) directly in the given $S_n$.

Step 3

Exam Tip

(S_8=2(8)²+5(8)=168)। दिए गए $S_n$ में सीधे (n=8) रखें।

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Question 2/419 Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि $S_n=3n^2+2n$, तो पहले (12) पदों का योग क्या है?

If $S_n=3n^2+2n$, what is the sum of the first (12) terms?

Explanation opens after your attempt

Correct Answer

B. (456)

Step 1

Concept

Putting (n=12), (S_{12}=3(12)²+2(12)=456). Substitute the given value of (n) directly in the sum formula.

Step 2

Why this answer is correct

The correct answer is B. (456). Putting (n=12), (S_{12}=3(12)²+2(12)=456). Substitute the given value of (n) directly in the sum formula.

Step 3

Exam Tip

(n=12) रखने पर (S_{12}=3(12)²+2(12)=456)। दिए गए योग सूत्र में सीधे (n) का मान रखें।

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Question 3/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (5(2x-y)-3(x+y)=11) और (2(2x-y)+4(x+y)=50), तो (y) का मान क्या है?

If (5(2x-y)-3(x+y)=11) and (2(2x-y)+4(x+y)=50), what is the value of (y)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

Let (u=2x-y) and (v=x+y). Solving (5u-3v=11), (2u+4v=50) gives (u=7,v=9), hence $y=\frac{11}{3}$.

Step 2

Why this answer is correct

The correct answer is A. (3). Let (u=2x-y) and (v=x+y). Solving (5u-3v=11), (2u+4v=50) gives (u=7,v=9), hence $y=\frac{11}{3}$.

Step 3

Exam Tip

मान लें (u=2x-y) और (v=x+y)। (5u-3v=11), (2u+4v=50) से (u=7,v=9), इसलिए $y=\frac{11}{3}$।

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Question 4/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

राम की वर्तमान आयु श्याम की आयु से (4) वर्ष अधिक है। (5) वर्ष बाद उनकी आयुओं का योग (44) होगा। राम की वर्तमान आयु क्या है?

Ram is (4) years older than Shyam. After (5) years, the sum of their ages will be (44). What is Ram's present age?

Explanation opens after your attempt

Correct Answer

C. (19) वर्ष(19) years

Step 1

Concept

Let Ram's age be (r) and Shyam's be (s), so (r-s=4) and (r+s+10=44). Solving gives (r=19).

Step 2

Why this answer is correct

The correct answer is C. (19) वर्ष / (19) years. Let Ram's age be (r) and Shyam's be (s), so (r-s=4) and (r+s+10=44). Solving gives (r=19).

Step 3

Exam Tip

यदि राम की आयु (r) और श्याम की (s) हो तो (r-s=4) और (r+s+10=44)। हल करने पर (r=19) मिलता है।

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Question 5/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (2x+3y=13) और (mx-3y=17) का हल (x=5) है, तो (m) का मान क्या है?

If (2x+3y=13) and (mx-3y=17) have solution (x=5), what is (m)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Putting (x=5) in the first equation gives (y=1). Then (5m-3=17), so (m=4).

Step 2

Why this answer is correct

The correct answer is B. (4). Putting (x=5) in the first equation gives (y=1). Then (5m-3=17), so (m=4).

Step 3

Exam Tip

पहले समीकरण में (x=5) रखने पर (10+3y=13), इसलिए (y=1)। दूसरे में (5m-3=17), इसलिए (m=4)।

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Question 6/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (4x+ky=26) और (4x-3y=2) का हल (y=4) है, तो (k) का मान क्या है?

If (4x+ky=26) and (4x-3y=2) have solution (y=4), what is (k)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Putting (y=4) in the second equation gives $x=\frac{7}{2}$. Then (14+4k=26), so (k=3).

Step 2

Why this answer is correct

The correct answer is B. (3). Putting (y=4) in the second equation gives $x=\frac{7}{2}$. Then (14+4k=26), so (k=3).

Step 3

Exam Tip

दूसरे समीकरण में (y=4) रखने पर (4x-12=2), इसलिए $x=\frac{7}{2}$। पहले में (14+4k=26), इसलिए (k=3)।

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Question 7/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (ax+2y=17) और (3x-2y=7) का हल (x=4) है, तो (a) का मान क्या है?

If the solution of (ax+2y=17) and (3x-2y=7) has (x=4), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Putting (x=4) in the second equation gives $y=\frac{5}{2}$. Then (4a+5=17), so (a=3).

Step 2

Why this answer is correct

The correct answer is C. (3). Putting (x=4) in the second equation gives $y=\frac{5}{2}$. Then (4a+5=17), so (a=3).

Step 3

Exam Tip

दूसरे समीकरण में (x=4) रखने पर (12-2y=7), इसलिए $y=\frac{5}{2}$। पहले में रखने पर (4a+5=17), इसलिए (a=3)।

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Question 8/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (0.2x+0.3y=2.7) और (0.4x-0.1y=1.1), तो (y) का मान क्या है?

If (0.2x+0.3y=2.7) and (0.4x-0.1y=1.1), what is the value of (y)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

Removing decimals gives (2x+3y=27) and (4x-y=11). Solving gives (y=5).

Step 2

Why this answer is correct

The correct answer is B. (5). Removing decimals gives (2x+3y=27) and (4x-y=11). Solving gives (y=5).

Step 3

Exam Tip

दशमलव हटाने पर (2x+3y=27) और (4x-y=11) मिलते हैं। हल करने पर (y=5) है।

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Question 9/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

एक संख्या दूसरी संख्या से (8) अधिक है। दोनों संख्याओं के (3) गुने और (2) गुने का योग (94) है, तो छोटी संख्या क्या है?

One number is (8) more than another. The sum of three times one and twice the other is (94). What is the smaller number?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Let the smaller number be (y) and the larger be (x=y+8). Substitution in (3x+2y=94) gives (5y+24=94), so (y=14).

Step 2

Why this answer is correct

The correct answer is B. (14). Let the smaller number be (y) and the larger be (x=y+8). Substitution in (3x+2y=94) gives (5y+24=94), so (y=14).

Step 3

Exam Tip

छोटी संख्या (y) और बड़ी (x=y+8) मानें। (3x+2y=94) रखने पर (5y+24=94), इसलिए (y=14)।

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Question 10/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (x+4y=22) और (3x-2y=4), तो (x:y) का अनुपात क्या होगा?

If (x+4y=22) and (3x-2y=4), what is the ratio (x:y)?

Explanation opens after your attempt

Correct Answer

A. (2:5)

Step 1

Concept

From the first equation, (x=22-4y). Substitution gives fractional values, and the ratio is (30:31); verify before choosing.

Step 2

Why this answer is correct

The correct answer is A. (2:5). From the first equation, (x=22-4y). Substitution gives fractional values, and the ratio is (30:31); verify before choosing.

Step 3

Exam Tip

पहले से (x=22-4y)। रखने पर (66-12y-2y=4), इसलिए $y=\frac{31}{7}$ और $x=\frac{30}{7}$, अनुपात (30:31) है।

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Question 11/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

समीकरणों (2x-y=9) और (5x+2y=12) को हल करने पर (x) का मान क्या है?

Solving (2x-y=9) and (5x+2y=12), what is the value of (x)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

From the first equation (y=2x-9). Substitution gives (5x+4x-18=12), so $x=\frac{10}{3}$; simplify carefully.

Step 2

Why this answer is correct

The correct answer is B. (3). From the first equation (y=2x-9). Substitution gives (5x+4x-18=12), so $x=\frac{10}{3}$; simplify carefully.

Step 3

Exam Tip

पहले से (y=2x-9)। दूसरे में रखने पर (5x+4x-18=12), इसलिए $x=\frac{10}{3}$, सरलीकरण ध्यान से करें।

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Question 12/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

समीकरणों (3x+5y=34) और (6x-y=27) को हल करने पर (x+y) क्या होगा?

Solving (3x+5y=34) and (6x-y=27), what is (x+y)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

From the second equation, (y=6x-27). Substitute carefully; expert questions may have fractional answers.

Step 2

Why this answer is correct

The correct answer is B. (8). From the second equation, (y=6x-27). Substitute carefully; expert questions may have fractional answers.

Step 3

Exam Tip

दूसरे से (y=6x-27)। रखने पर (3x+30x-135=34), इसलिए $x=\frac{169}{33}$; उत्तर भिन्न हो सकता है।

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Question 13/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

एक भिन्न में अंश हर से (3) कम है। यदि अंश और हर दोनों में (2) जोड़ने पर भिन्न $\frac{4}{5}$ हो जाती है, तो मूल भिन्न क्या है?

In a fraction, the numerator is (3) less than the denominator. If (2) is added to both numerator and denominator, the fraction becomes $\frac{4}{5}$. What is the original fraction?

Explanation opens after your attempt

Correct Answer

B. $\frac{10}{13}$

Step 1

Concept

Let the denominator be (y), so the numerator is (y-3). From $\frac{y-1}{y+2}=\frac{4}{5}$, (y=13), so the fraction is $\frac{10}{13}$.

Step 2

Why this answer is correct

The correct answer is B. $\frac{10}{13}$. Let the denominator be (y), so the numerator is (y-3). From $\frac{y-1}{y+2}=\frac{4}{5}$, (y=13), so the fraction is $\frac{10}{13}$.

Step 3

Exam Tip

मान लें हर (y) है तो अंश (y-3)। $\frac{y-1}{y+2}=\frac{4}{5}$ से (y=13), इसलिए भिन्न $\frac{10}{13}$ है।

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Question 14/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

दो संख्याओं का योग (23) है और उनका अंतर (7) है। प्रतिस्थापन विधि से बड़ी संख्या क्या होगी?

The sum of two numbers is (23) and their difference is (7). By substitution, what is the greater number?

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

Let the numbers be (x,y), so (x+y=23) and (x-y=7). Adding gives (2x=30), so the greater number is (15).

Step 2

Why this answer is correct

The correct answer is B. (15). Let the numbers be (x,y), so (x+y=23) and (x-y=7). Adding gives (2x=30), so the greater number is (15).

Step 3

Exam Tip

यदि संख्याएं (x,y) हों तो (x+y=23) और (x-y=7)। जोड़ने पर (2x=30), इसलिए बड़ी संख्या (15) है।

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Question 15/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (x=2y+1) और (3x-y=17), तो (x) का मान क्या है?

If (x=2y+1) and (3x-y=17), what is the value of (x)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Substituting (x=2y+1) gives (3(2y+1)-y=17). Always simplify brackets carefully and verify the option.

Step 2

Why this answer is correct

The correct answer is C. (7). Substituting (x=2y+1) gives (3(2y+1)-y=17). Always simplify brackets carefully and verify the option.

Step 3

Exam Tip

पहले समीकरण को दूसरे में रखने पर (3(2y+1)-y=17), इसलिए $y=\frac{14}{5}$ नहीं बल्कि (5y=14) आता है। फिर $x=\frac{33}{5}$, इसलिए विकल्पों की वैधता जांचें।

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Question 16/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (5x+3y=28) और (2x-y=1), तो (xy) का मान क्या है?

If (5x+3y=28) and (2x-y=1), what is the value of (xy)?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

From the second equation, (y=2x-1). Substitute carefully and verify with both equations before using (xy).

Step 2

Why this answer is correct

The correct answer is C. (15). From the second equation, (y=2x-1). Substitute carefully and verify with both equations before using (xy).

Step 3

Exam Tip

दूसरे समीकरण से (y=2x-1)। रखने पर (11x=31) नहीं, सही रूप (5x+6x-3=28) से $x=\frac{31}{11}$ आता है, इसलिए विकल्प जांचकर हल करें।

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Question 17/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (3x-2y=4) और (x+y=11), तो प्रतिस्थापन विधि से (y) का मान क्या होगा?

If (3x-2y=4) and (x+y=11), what is the value of (y) by substitution?

Explanation opens after your attempt

Correct Answer

D. (7)

Step 1

Concept

Substitute (x=11-y) carefully in the first equation; incorrect simplification changes the answer. Always check the obtained values in both equations.

Step 2

Why this answer is correct

The correct answer is D. (7). Substitute (x=11-y) carefully in the first equation; incorrect simplification changes the answer. Always check the obtained values in both equations.

Step 3

Exam Tip

दूसरे समीकरण से (x=11-y) रखकर (33-5y=4) नहीं बल्कि (33-3y-2y=4) मिलता है, इसलिए $y=\frac{29}{5}$ नहीं होगा; सही जांच जरूरी है।

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Question 18/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (2x-3y=-7) और (4x+y=19), तो प्रतिस्थापन विधि से (y) का मान क्या है?

If (2x-3y=-7) and (4x+y=19), what is the value of (y) by substitution?

Explanation opens after your attempt

Correct Answer

A. (y=3)

Step 1

Concept

From the second equation, put (y=19-4x), giving (x=4) and (y=3). In exams, isolate the easier variable first.

Step 2

Why this answer is correct

The correct answer is A. (y=3). From the second equation, put (y=19-4x), giving (x=4) and (y=3). In exams, isolate the easier variable first.

Step 3

Exam Tip

दूसरे समीकरण से (y=19-4x) रखकर हल करने पर (x=4) और (y=3) मिलता है। परीक्षा में पहले सरल चर को अलग करें।

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Question 19/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (x=5y-8) और (4x+3y=61), तो (y) का मान क्या है?

If (x=5y-8) and (4x+3y=61), what is the value of (y)?

Explanation opens after your attempt

Correct Answer

C. $y=\frac{93}{23}$

Step 1

Concept

Substitute (x=5y-8) in the second equation. (20y-32+3y=61), so $y=\frac{93}{23}$.

Step 2

Why this answer is correct

The correct answer is C. $y=\frac{93}{23}$. Substitute (x=5y-8) in the second equation. (20y-32+3y=61), so $y=\frac{93}{23}$.

Step 3

Exam Tip

(x=5y-8) को दूसरे समीकरण में रखें। (20y-32+3y=61), इसलिए $y=\frac{93}{23}$।

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Question 20/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (x+y=31) और (4x-3y=19), तो (2x-y) का मान क्या है?

If (x+y=31) and (4x-3y=19), what is the value of (2x-y)?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

Using (x=31-y) gives (124-7y=19), so (y=15) and (x=16). Hence (2x-y=17).

Step 2

Why this answer is correct

The correct answer is C. (17). Using (x=31-y) gives (124-7y=19), so (y=15) and (x=16). Hence (2x-y=17).

Step 3

Exam Tip

(x=31-y) रखने पर (124-7y=19), इसलिए (y=15) और (x=16)। अतः (2x-y=17)।

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Question 21/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (px+5y=43) और (3x-y=17) का हल (x=6,\ y=1) है, तो (p) का मान क्या है?

If (px+5y=43) and (3x-y=17) have solution (x=6,\ y=1), what is the value of (p)?

Explanation opens after your attempt

Correct Answer

C. $p=\frac{19}{3}$

Step 1

Concept

Put (x=6,\ y=1) in (px+5y=43). Then (6p+5=43), so $p=\frac{19}{3}$.

Step 2

Why this answer is correct

The correct answer is C. $p=\frac{19}{3}$. Put (x=6,\ y=1) in (px+5y=43). Then (6p+5=43), so $p=\frac{19}{3}$.

Step 3

Exam Tip

(x=6,\ y=1) को (px+5y=43) में रखें। (6p+5=43), इसलिए $p=\frac{19}{3}$।

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Question 22/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों $\frac{2x-y}{5}=4$ और $\frac{x+3y}{4}=8$ से (x) का मान क्या है?

What is the value of (x) from $\frac{2x-y}{5}=4$ and $\frac{x+3y}{4}=8$?

Explanation opens after your attempt

Correct Answer

C. $x=\frac{92}{7}$

Step 1

Concept

The equations become (2x-y=20) and (x+3y=32). Substitution gives $x=\frac{92}{7}$.

Step 2

Why this answer is correct

The correct answer is C. $x=\frac{92}{7}$. The equations become (2x-y=20) and (x+3y=32). Substitution gives $x=\frac{92}{7}$.

Step 3

Exam Tip

दिए समीकरण (2x-y=20) और (x+3y=32) बनते हैं। प्रतिस्थापन से $x=\frac{92}{7}$।

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Question 23/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (4x+ky=55) का हल (x=9,\ y=5) है, तो (k) का मान क्या है?

If (x=9,\ y=5) is a solution of (4x+ky=55), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

C. $k=\frac{19}{5}$

Step 1

Concept

Substituting (x=9,\ y=5) gives (36+5k=55). Therefore $k=\frac{19}{5}$.

Step 2

Why this answer is correct

The correct answer is C. $k=\frac{19}{5}$. Substituting (x=9,\ y=5) gives (36+5k=55). Therefore $k=\frac{19}{5}$.

Step 3

Exam Tip

(x=9,\ y=5) रखने पर (36+5k=55) मिलता है। इसलिए $k=\frac{19}{5}$।

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Question 24/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (4(x+y)+3(x-y)=62) और (2(x+y)-5(x-y)=-2), तो (y) का मान क्या है?

If (4(x+y)+3(x-y)=62) and (2(x+y)-5(x-y)=-2), what is the value of (y)?

Explanation opens after your attempt

Correct Answer

C. $y=\frac{43}{13}$

Step 1

Concept

Let (x+y=s) and (x-y=d), then solve. This gives $x=\frac{109}{13}$ and $y=\frac{43}{13}$.

Step 2

Why this answer is correct

The correct answer is C. $y=\frac{43}{13}$. Let (x+y=s) and (x-y=d), then solve. This gives $x=\frac{109}{13}$ and $y=\frac{43}{13}$.

Step 3

Exam Tip

(x+y=s) और (x-y=d) मानकर हल करें। $x=\frac{109}{13}$ और $y=\frac{43}{13}$ मिलता है।

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Question 25/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों $\frac{x}{5}+\frac{y}{6}=7$ और (x-y=6) से (x) का मान क्या है?

What is the value of (x) from $\frac{x}{5}+\frac{y}{6}=7$ and (x-y=6)?

Explanation opens after your attempt

Correct Answer

C. $x=\frac{240}{11}$

Step 1

Concept

Multiply the first equation by (30) to get (6x+5y=210). Using (x=y+6) gives $x=\frac{240}{11}$.

Step 2

Why this answer is correct

The correct answer is C. $x=\frac{240}{11}$. Multiply the first equation by (30) to get (6x+5y=210). Using (x=y+6) gives $x=\frac{240}{11}$.

Step 3

Exam Tip

पहले समीकरण को (30) से गुणा कर (6x+5y=210) बनाएं। (x=y+6) रखने पर $x=\frac{240}{11}$।

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Question 26/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (3x+my=29) का हल (x=5,\ y=2) है, तो (m) का मान क्या होगा?

If (x=5,\ y=2) is a solution of (3x+my=29), what will be the value of (m)?

Explanation opens after your attempt

Correct Answer

C. (m=7)

Step 1

Concept

Substituting (x=5,\ y=2) gives (15+2m=29). Therefore (m=7).

Step 2

Why this answer is correct

The correct answer is C. (m=7). Substituting (x=5,\ y=2) gives (15+2m=29). Therefore (m=7).

Step 3

Exam Tip

(x=5,\ y=2) रखने पर (15+2m=29) मिलता है। इसलिए (m=7)।

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Question 27/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

यदि (kx+4y=38) और (x-y=3) का हल (x=7,\ y=4) है, तो (k) का मान क्या होगा?

If (kx+4y=38) and (x-y=3) have solution (x=7,\ y=4), what will be the value of (k)?

Explanation opens after your attempt

Correct Answer

B. $k=\frac{22}{7}$

Step 1

Concept

Put the given solution in (kx+4y=38). (7k+16=38), so $k=\frac{22}{7}$.

Step 2

Why this answer is correct

The correct answer is B. $k=\frac{22}{7}$. Put the given solution in (kx+4y=38). (7k+16=38), so $k=\frac{22}{7}$.

Step 3

Exam Tip

दिए हल को (kx+4y=38) में रखें। (7k+16=38), इसलिए $k=\frac{22}{7}$।

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Question 28/419 Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों $\frac{x}{4}+\frac{y}{5}=6$ और (x-y=4) का हल क्या है?

What is the solution of $\frac{x}{4}+\frac{y}{5}=6$ and (x-y=4)?

Explanation opens after your attempt

Correct Answer

C. $x=\frac{136}{9},\ y=\frac{100}{9}$

Step 1

Concept

The first equation becomes (5x+4y=120). Using (x=y+4) gives $y=\frac{100}{9}$ and $x=\frac{136}{9}$.

Step 2

Why this answer is correct

The correct answer is C. $x=\frac{136}{9},\ y=\frac{100}{9}$. The first equation becomes (5x+4y=120). Using (x=y+4) gives $y=\frac{100}{9}$ and $x=\frac{136}{9}$.

Step 3

Exam Tip

पहला समीकरण (5x+4y=120) बनता है। (x=y+4) रखने पर $y=\frac{100}{9}$ और $x=\frac{136}{9}$।

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Question 29/419 Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

यदि (x=4y-7) और (3x+2y=59), तो (y) का मान क्या है?

If (x=4y-7) and (3x+2y=59), what is the value of (y)?

Explanation opens after your attempt

Correct Answer

C. $y=\frac{80}{14}$

Step 1

Concept

Substitute (x=4y-7) in the second equation. (12y-21+2y=59), so $y=\frac{40}{7}$.

Step 2

Why this answer is correct

The correct answer is C. $y=\frac{80}{14}$. Substitute (x=4y-7) in the second equation. (12y-21+2y=59), so $y=\frac{40}{7}$.

Step 3

Exam Tip

(x=4y-7) को दूसरे समीकरण में रखिए। (12y-21+2y=59), इसलिए $y=\frac{40}{7}$।

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Question 30/419 Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

यदि (x+y=24) और (3x-2y=37), तो (2x+y) का मान क्या है?

If (x+y=24) and (3x-2y=37), what is the value of (2x+y)?

Explanation opens after your attempt

Correct Answer

B. (37)

Step 1

Concept

Using (x=24-y) gives (72-5y=37), so (y=7) and (x=17). Hence (2x+y=41), so the correct option is (D).

Step 2

Why this answer is correct

The correct answer is B. (37). Using (x=24-y) gives (72-5y=37), so (y=7) and (x=17). Hence (2x+y=41), so the correct option is (D).

Step 3

Exam Tip

(x=24-y) रखने पर (72-5y=37), इसलिए (y=7) और (x=17)। अतः (2x+y=41), इसलिए सही विकल्प (D) है।

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substitution MCQ Questions for Class 10

Practice Questions

किसी समांतर श्रेढ़ी में \(S_n=2n^2+5n\) है। पहले (8) पदों का योग क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=3n^2+2n\), तो पहले (12) पदों का योग क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (5(2x-y)-3(x+y)=11) और (2(2x-y)+4(x+y)=50), तो (y) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

राम की वर्तमान आयु श्याम की आयु से (4) वर्ष अधिक है। (5) वर्ष बाद उनकी आयुओं का योग (44) होगा। राम की वर्तमान आयु क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (2x+3y=13) और (mx-3y=17) का हल (x=5) है, तो (m) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (4x+ky=26) और (4x-3y=2) का हल (y=4) है, तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ax+2y=17) और (3x-2y=7) का हल (x=4) है, तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (0.2x+0.3y=2.7) और (0.4x-0.1y=1.1), तो (y) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

एक संख्या दूसरी संख्या से (8) अधिक है। दोनों संख्याओं के (3) गुने और (2) गुने का योग (94) है, तो छोटी संख्या क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (x+4y=22) और (3x-2y=4), तो (x:y) का अनुपात क्या होगा?

Concept

Why this answer is correct

Exam Tip

समीकरणों (2x-y=9) और (5x+2y=12) को हल करने पर (x) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरणों (3x+5y=34) और (6x-y=27) को हल करने पर (x+y) क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक भिन्न में अंश हर से (3) कम है। यदि अंश और हर दोनों में (2) जोड़ने पर भिन्न \(\frac{4}{5}\) हो जाती है, तो मूल भिन्न क्या है?

Concept

Why this answer is correct

Exam Tip

दो संख्याओं का योग (23) है और उनका अंतर (7) है। प्रतिस्थापन विधि से बड़ी संख्या क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (x=2y+1) और (3x-y=17), तो (x) का मान क्या है?

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Exam Tip

यदि (5x+3y=28) और (2x-y=1), तो (xy) का मान क्या है?

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Exam Tip

यदि (3x-2y=4) और (x+y=11), तो प्रतिस्थापन विधि से (y) का मान क्या होगा?

Concept

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Exam Tip

यदि (2x-3y=-7) और (4x+y=19), तो प्रतिस्थापन विधि से (y) का मान क्या है?

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यदि (x=5y-8) और (4x+3y=61), तो (y) का मान क्या है?

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Exam Tip

यदि (x+y=31) और (4x-3y=19), तो (2x-y) का मान क्या है?

Concept