Concept-wise Practice

class 11 MCQ Questions for Class 11

class 11 se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2918 questions tagged with class 11.

\(\frac{12!}{10!,2!}+\frac{8!}{6!,2!}\) का मान क्या है?

What is the value of \(\frac{12!}{10!,2!}+\frac{8!}{6!,2!}\)?

Explanation opens after your attempt
Correct Answer

D. (94)

Step 1

Concept

The first term is (66) and the second term is (28). Adding them gives (94).

Step 2

Why this answer is correct

The correct answer is D. (94). The first term is (66) and the second term is (28). Adding them gives (94).

Step 3

Exam Tip

पहला पद (66) और दूसरा पद (28) है। दोनों को जोड़ने पर (94) मिलता है।

Open Question Page
Ask Friends

यदि (\frac{(n+2)!}{n!}=42), तो (n) का मान क्या है?

If (\frac{(n+2)!}{n!}=42), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

(\frac{(n+2)!}{n!}=(n+2)(n+1)). Since \(7\times6=42\), (n=5).

Step 2

Why this answer is correct

The correct answer is C. (5). (\frac{(n+2)!}{n!}=(n+2)(n+1)). Since \(7\times6=42\), (n=5).

Step 3

Exam Tip

(\frac{(n+2)!}{n!}=(n+2)(n+1))। \(7\times6=42\), इसलिए (n=5) है।

Open Question Page
Ask Friends

(\frac{(n+3)!}{(n+1)!}+\frac{(n+2)!}{n!}) का सरल रूप क्या है?

What is the simplified form of (\frac{(n+3)!}{(n+1)!}+\frac{(n+2)!}{n!})?

Explanation opens after your attempt
Correct Answer

B. (2(n+2)2)

Step 1

Concept

The first term is ((n+3)(n+2)) and the second is ((n+2)(n+1)). Taking common ((n+2)) gives (2(n+2)2).

Step 2

Why this answer is correct

The correct answer is B. (2(n+2)2). The first term is ((n+3)(n+2)) and the second is ((n+2)(n+1)). Taking common ((n+2)) gives (2(n+2)2).

Step 3

Exam Tip

पहला पद ((n+3)(n+2)) और दूसरा ((n+2)(n+1)) है। समान ((n+2)) लेने पर (2(n+2)2) मिलता है।

Open Question Page
Ask Friends

\(\frac{9!}{6!}-\frac{7!}{5!}\) का मान क्या है?

What is the value of \(\frac{9!}{6!}-\frac{7!}{5!}\)?

Explanation opens after your attempt
Correct Answer

A. (462)

Step 1

Concept

\(\frac{9!}{6!}=504\) and \(\frac{7!}{5!}=42\), so the difference is (462). Simplify both ratios separately.

Step 2

Why this answer is correct

The correct answer is A. (462). \(\frac{9!}{6!}=504\) and \(\frac{7!}{5!}=42\), so the difference is (462). Simplify both ratios separately.

Step 3

Exam Tip

\(\frac{9!}{6!}=504\) और \(\frac{7!}{5!}=42\), इसलिए अंतर (462) है। दोनों अनुपात अलग-अलग सरल करें।

Open Question Page
Ask Friends

\(\frac{6!+5!}{4!}\) का मान क्या है?

What is the value of \(\frac{6!+5!}{4!}\)?

Explanation opens after your attempt
Correct Answer

D. (35)

Step 1

Concept

The numerator is (720+120=840) and (4!=24). Therefore the value is \(\frac{840}{24}=35\).

Step 2

Why this answer is correct

The correct answer is D. (35). The numerator is (720+120=840) and (4!=24). Therefore the value is \(\frac{840}{24}=35\).

Step 3

Exam Tip

अंश (720+120=840) है और (4!=24)। इसलिए मान \(\frac{840}{24}=35\) है।

Open Question Page
Ask Friends

यदि (\frac{n!}{(n-2)!}=56), तो (n) का मान क्या है?

If (\frac{n!}{(n-2)!}=56), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(\frac{n!}{(n-2)!}=n(n-1)). Since \(8\times7=56\), (n=8).

Step 2

Why this answer is correct

The correct answer is B. (8). (\frac{n!}{(n-2)!}=n(n-1)). Since \(8\times7=56\), (n=8).

Step 3

Exam Tip

(\frac{n!}{(n-2)!}=n(n-1))। \(8\times7=56\), इसलिए (n=8) है।

Open Question Page
Ask Friends

\(\frac{8!-7!}{6!}\) का मान क्या है?

What is the value of \(\frac{8!-7!}{6!}\)?

Explanation opens after your attempt
Correct Answer

D. (49)

Step 1

Concept

The numerator is (7!(8-1)=7\cdot7!). Thus \(\frac{7\cdot7!}{6!}=7\times7=49\).

Step 2

Why this answer is correct

The correct answer is D. (49). The numerator is (7!(8-1)=7\cdot7!). Thus \(\frac{7\cdot7!}{6!}=7\times7=49\).

Step 3

Exam Tip

अंश (7!(8-1)=7\cdot7!) है। \(\frac{7\cdot7!}{6!}=7\times7=49\) मिलेगा।

Open Question Page
Ask Friends

यदि (n=4), तो (\frac{(n+2)!}{n!}) का मान क्या है?

If (n=4), what is the value of (\frac{(n+2)!}{n!})?

Explanation opens after your attempt
Correct Answer

C. (30)

Step 1

Concept

Putting (n=4), \(\frac{6!}{4!}=6\times5=30\). Substitute the variable first and simplify the factorial ratio.

Step 2

Why this answer is correct

The correct answer is C. (30). Putting (n=4), \(\frac{6!}{4!}=6\times5=30\). Substitute the variable first and simplify the factorial ratio.

Step 3

Exam Tip

(n=4) रखने पर \(\frac{6!}{4!}=6\times5=30\)। पहले चर का मान रखकर फैक्टोरियल अनुपात सरल करें।

Open Question Page
Ask Friends

(\frac{(n+4)!}{(n+1)!}) का सरल रूप क्या है?

What is the simplified form of (\frac{(n+4)!}{(n+1)!})?

Explanation opens after your attempt
Correct Answer

B. ((n+4)(n+3)(n+2))

Step 1

Concept

((n+4)!=(n+4)(n+3)(n+2)(n+1)!), so ((n+1)!) cancels. Three consecutive factors remain.

Step 2

Why this answer is correct

The correct answer is B. ((n+4)(n+3)(n+2)). ((n+4)!=(n+4)(n+3)(n+2)(n+1)!), so ((n+1)!) cancels. Three consecutive factors remain.

Step 3

Exam Tip

((n+4)!=(n+4)(n+3)(n+2)(n+1)!), इसलिए ((n+1)!) कट जाता है। तीन क्रमागत गुणक बचते हैं।

Open Question Page
Ask Friends

\(\frac{9!-8!}{7!}\) का मान क्या है?

What is the value of \(\frac{9!-8!}{7!}\)?

Explanation opens after your attempt
Correct Answer

B. (64)

Step 1

Concept

The numerator is (8!(9-1)=8\cdot8!). Thus \(\frac{8\cdot8!}{7!}=8\times8=64\).

Step 2

Why this answer is correct

The correct answer is B. (64). The numerator is (8!(9-1)=8\cdot8!). Thus \(\frac{8\cdot8!}{7!}=8\times8=64\).

Step 3

Exam Tip

अंश (8!(9-1)=8\cdot8!) है। \(\frac{8\cdot8!}{7!}=8\times8=64\) मिलता है।

Open Question Page
Ask Friends

यदि (\frac{(n+2)!}{(n-1)!}=210), तो (n) का मान क्या है?

If (\frac{(n+2)!}{(n-1)!}=210), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

(\frac{(n+2)!}{(n-1)!}=(n+2)(n+1)n). Since \(7\times6\times5=210\), (n=5).

Step 2

Why this answer is correct

The correct answer is B. (5). (\frac{(n+2)!}{(n-1)!}=(n+2)(n+1)n). Since \(7\times6\times5=210\), (n=5).

Step 3

Exam Tip

(\frac{(n+2)!}{(n-1)!}=(n+2)(n+1)n)। \(7\times6\times5=210\), इसलिए (n=5) है।

Open Question Page
Ask Friends

\(\frac{13!}{11!}-\frac{10!}{8!}\) का मान क्या है?

What is the value of \(\frac{13!}{11!}-\frac{10!}{8!}\)?

Explanation opens after your attempt
Correct Answer

B. (66)

Step 1

Concept

\(\frac{13!}{11!}=13\times12=156\) and \(\frac{10!}{8!}=10\times9=90\), so the difference is (66). Simplify both factorial ratios separately first.

Step 2

Why this answer is correct

The correct answer is B. (66). \(\frac{13!}{11!}=13\times12=156\) and \(\frac{10!}{8!}=10\times9=90\), so the difference is (66). Simplify both factorial ratios separately first.

Step 3

Exam Tip

\(\frac{13!}{11!}=13\times12=156\) और \(\frac{10!}{8!}=10\times9=90\), इसलिए अंतर (66) है। पहले दोनों फैक्टोरियल अनुपात अलग-अलग सरल करें।

Open Question Page
Ask Friends

(\frac{(n+2)!}{n!}+\frac{(n+1)!}{n!}) का सरल रूप क्या है?

What is the simplified form of (\frac{(n+2)!}{n!}+\frac{(n+1)!}{n!})?

Explanation opens after your attempt
Correct Answer

A. ((n+1)(n+3))

Step 1

Concept

The first term is ((n+2)(n+1)) and the second is (n+1). Taking common ((n+1)) gives ((n+1)(n+3)).

Step 2

Why this answer is correct

The correct answer is A. ((n+1)(n+3)). The first term is ((n+2)(n+1)) and the second is (n+1). Taking common ((n+1)) gives ((n+1)(n+3)).

Step 3

Exam Tip

पहला पद ((n+2)(n+1)) और दूसरा (n+1) है। समान ((n+1)) लेने पर ((n+1)(n+3)) मिलता है।

Open Question Page
Ask Friends

यदि \(x=\frac{9!}{7!}\) और \(y=\frac{6!}{4!}\), तो \(\frac{x}{y}\) का मान क्या है?

If \(x=\frac{9!}{7!}\) and \(y=\frac{6!}{4!}\), what is the value of \(\frac{x}{y}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{12}{5}\)

Step 1

Concept

(x=72) and (y=30), so \(\frac{x}{y}=\frac{72}{30}=\frac{12}{5}\). Simplify the ratio at the end.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{12}{5}\). (x=72) and (y=30), so \(\frac{x}{y}=\frac{72}{30}=\frac{12}{5}\). Simplify the ratio at the end.

Step 3

Exam Tip

(x=72) और (y=30), इसलिए \(\frac{x}{y}=\frac{72}{30}=\frac{12}{5}\)। अनुपात को अंत में सरल करें।

Open Question Page
Ask Friends

(\frac{(n+3)!}{n!}) में कुल कितने क्रमागत गुणक बचते हैं?

How many consecutive factors remain in (\frac{(n+3)!}{n!})?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

(\frac{(n+3)!}{n!}=(n+3)(n+2)(n+1)). Therefore, three consecutive factors remain.

Step 2

Why this answer is correct

The correct answer is B. (3). (\frac{(n+3)!}{n!}=(n+3)(n+2)(n+1)). Therefore, three consecutive factors remain.

Step 3

Exam Tip

(\frac{(n+3)!}{n!}=(n+3)(n+2)(n+1))। इसलिए तीन क्रमागत गुणक बचते हैं।

Open Question Page
Ask Friends

\(\frac{7!}{4!,3!}+\frac{7!}{6!,1!}\) का मान क्या है?

What is the value of \(\frac{7!}{4!,3!}+\frac{7!}{6!,1!}\)?

Explanation opens after your attempt
Correct Answer

C. (42)

Step 1

Concept

The first term is (35) and the second term is (7). The total is (42).

Step 2

Why this answer is correct

The correct answer is C. (42). The first term is (35) and the second term is (7). The total is (42).

Step 3

Exam Tip

पहला पद (35) और दूसरा पद (7) है। कुल (42) मिलता है।

Open Question Page
Ask Friends

\(\frac{8!}{6!}-\frac{5!}{4!}+2!\) का मान क्या है?

What is the value of \(\frac{8!}{6!}-\frac{5!}{4!}+2!\)?

Explanation opens after your attempt
Correct Answer

C. (53)

Step 1

Concept

\(\frac{8!}{6!}=56\), \(\frac{5!}{4!}=5\), and (2!=2). Thus (56-5+2=53).

Step 2

Why this answer is correct

The correct answer is C. (53). \(\frac{8!}{6!}=56\), \(\frac{5!}{4!}=5\), and (2!=2). Thus (56-5+2=53).

Step 3

Exam Tip

\(\frac{8!}{6!}=56\), \(\frac{5!}{4!}=5\) और (2!=2)। इसलिए (56-5+2=53) है।

Open Question Page
Ask Friends

यदि (\frac{(n+1)!}{(n-1)!}=20), तो (n) का मान क्या है?

If (\frac{(n+1)!}{(n-1)!}=20), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

This ratio is (n(n+1)). Since \(4\times5=20\), (n=4).

Step 2

Why this answer is correct

The correct answer is B. (4). This ratio is (n(n+1)). Since \(4\times5=20\), (n=4).

Step 3

Exam Tip

यह अनुपात (n(n+1)) है। \(4\times5=20\), इसलिए (n=4)।

Open Question Page
Ask Friends

\(\frac{9!}{8!}+\frac{8!}{7!}-\frac{7!}{6!}\) का मान क्या है?

What is the value of \(\frac{9!}{8!}+\frac{8!}{7!}-\frac{7!}{6!}\)?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

The three ratios are (9), (8), and (7) respectively. Hence (9+8-7=10).

Step 2

Why this answer is correct

The correct answer is C. (10). The three ratios are (9), (8), and (7) respectively. Hence (9+8-7=10).

Step 3

Exam Tip

तीन अनुपात क्रमशः (9), (8) और (7) हैं। इसलिए (9+8-7=10) है।

Open Question Page
Ask Friends

(\frac{(n+2)!}{(n-1)!}) का सरल रूप क्या है?

What is the simplified form of (\frac{(n+2)!}{(n-1)!})?

Explanation opens after your attempt
Correct Answer

A. ((n+2)(n+1)n)

Step 1

Concept

((n+2)!=(n+2)(n+1)n(n-1)!). Hence after cancelling ((n-1)!), three factors remain.

Step 2

Why this answer is correct

The correct answer is A. ((n+2)(n+1)n). ((n+2)!=(n+2)(n+1)n(n-1)!). Hence after cancelling ((n-1)!), three factors remain.

Step 3

Exam Tip

((n+2)!=(n+2)(n+1)n(n-1)!)। इसलिए ((n-1)!) कटने पर तीन गुणक बचते हैं।

Open Question Page
Ask Friends

यदि \(a=\frac{8!}{6!}\) और (b=3!), तो (a-b) का मान क्या है?

If \(a=\frac{8!}{6!}\) and (b=3!), what is the value of (a-b)?

Explanation opens after your attempt
Correct Answer

B. (50)

Step 1

Concept

\(a=8\times7=56\) and (b=6), so (a-b=50). Find both values separately first.

Step 2

Why this answer is correct

The correct answer is B. (50). \(a=8\times7=56\) and (b=6), so (a-b=50). Find both values separately first.

Step 3

Exam Tip

\(a=8\times7=56\) और (b=6), इसलिए (a-b=50)। पहले दोनों मान अलग निकालें।

Open Question Page
Ask Friends

\(\frac{7!+5!}{6!}\) का मान क्या है?

What is the value of \(\frac{7!+5!}{6!}\)?

Explanation opens after your attempt
Correct Answer

A. \(7+\frac{1}{6}\)

Step 1

Concept

\(\frac{7!}{6!}=7\) and \(\frac{5!}{6!}=\frac{1}{6}\), so the value is \(7+\frac{1}{6}\). Divide each term by the denominator separately.

Step 2

Why this answer is correct

The correct answer is A. \(7+\frac{1}{6}\). \(\frac{7!}{6!}=7\) and \(\frac{5!}{6!}=\frac{1}{6}\), so the value is \(7+\frac{1}{6}\). Divide each term by the denominator separately.

Step 3

Exam Tip

\(\frac{7!}{6!}=7\) और \(\frac{5!}{6!}=\frac{1}{6}\), इसलिए मान \(7+\frac{1}{6}\) है। पदों को हर से अलग-अलग भाग दें।

Open Question Page
Ask Friends

\(\frac{10!}{7!,3!}\) का मान क्या है?

What is the value of \(\frac{10!}{7!,3!}\)?

Explanation opens after your attempt
Correct Answer

C. (120)

Step 1

Concept

\(\frac{10!}{7!,3!}=\frac{10\times9\times8}{6}=120\). Do not forget that (3!=6).

Step 2

Why this answer is correct

The correct answer is C. (120). \(\frac{10!}{7!,3!}=\frac{10\times9\times8}{6}=120\). Do not forget that (3!=6).

Step 3

Exam Tip

\(\frac{10!}{7!,3!}=\frac{10\times9\times8}{6}=120\)। (3!=6) रखना न भूलें।

Open Question Page
Ask Friends

\(\frac{6!}{5!}\times\frac{5!}{3!}\) का मान क्या है?

What is the value of \(\frac{6!}{5!}\times\frac{5!}{3!}\)?

Explanation opens after your attempt
Correct Answer

C. (120)

Step 1

Concept

The first ratio is (6) and the second is \(5\times4=20\). The product is \(6\times20=120\).

Step 2

Why this answer is correct

The correct answer is C. (120). The first ratio is (6) and the second is \(5\times4=20\). The product is \(6\times20=120\).

Step 3

Exam Tip

पहला अनुपात (6) और दूसरा \(5\times4=20\) है। गुणनफल \(6\times20=120\) है।

Open Question Page
Ask Friends

यदि (n(n-1)=72), तो (\frac{n!}{(n-2)!}) का मान क्या होगा?

If (n(n-1)=72), what will be the value of (\frac{n!}{(n-2)!})?

Explanation opens after your attempt
Correct Answer

B. (72)

Step 1

Concept

(\frac{n!}{(n-2)!}=n(n-1)). From the given condition, its value is (72).

Step 2

Why this answer is correct

The correct answer is B. (72). (\frac{n!}{(n-2)!}=n(n-1)). From the given condition, its value is (72).

Step 3

Exam Tip

(\frac{n!}{(n-2)!}=n(n-1))। दिए गए अनुसार इसका मान (72) है।

Open Question Page
Ask Friends

\(\frac{12!}{10!,2!}-\frac{5!}{3!,2!}\) का मान क्या है?

What is the value of \(\frac{12!}{10!,2!}-\frac{5!}{3!,2!}\)?

Explanation opens after your attempt
Correct Answer

C. (56)

Step 1

Concept

\(\frac{12!}{10!,2!}=66\) and \(\frac{5!}{3!,2!}=10\), so the difference is (56). Keep the larger and smaller terms separate.

Step 2

Why this answer is correct

The correct answer is C. (56). \(\frac{12!}{10!,2!}=66\) and \(\frac{5!}{3!,2!}=10\), so the difference is (56). Keep the larger and smaller terms separate.

Step 3

Exam Tip

\(\frac{12!}{10!,2!}=66\) और \(\frac{5!}{3!,2!}=10\), इसलिए अंतर (56) है। बड़े और छोटे पद अलग रखें।

Open Question Page
Ask Friends

\(\frac{4!+5!}{3!}\) का मान क्या है?

What is the value of \(\frac{4!+5!}{3!}\)?

Explanation opens after your attempt
Correct Answer

B. (24)

Step 1

Concept

The numerator is (24+120=144) and (3!=6). Therefore, the value is (24).

Step 2

Why this answer is correct

The correct answer is B. (24). The numerator is (24+120=144) and (3!=6). Therefore, the value is (24).

Step 3

Exam Tip

अंश (24+120=144) है और (3!=6)। इसलिए मान (24) है।

Open Question Page
Ask Friends

\(\frac{7!}{5!}-\frac{6!}{4!}\) का मान क्या है?

What is the value of \(\frac{7!}{5!}-\frac{6!}{4!}\)?

Explanation opens after your attempt
Correct Answer

A. (12)

Step 1

Concept

\(\frac{7!}{5!}=42\) and \(\frac{6!}{4!}=30\), so the difference is (12). Evaluate smaller ratios directly.

Step 2

Why this answer is correct

The correct answer is A. (12). \(\frac{7!}{5!}=42\) and \(\frac{6!}{4!}=30\), so the difference is (12). Evaluate smaller ratios directly.

Step 3

Exam Tip

\(\frac{7!}{5!}=42\) और \(\frac{6!}{4!}=30\), इसलिए अंतर (12) है। छोटे अनुपात सीधे निकालें।

Open Question Page
Ask Friends

यदि (\frac{n!}{(n-3)!}=120), तो (n) का मान क्या है?

If (\frac{n!}{(n-3)!}=120), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

(\frac{n!}{(n-3)!}=n(n-1)(n-2)). Since \(6\times5\times4=120\), (n=6).

Step 2

Why this answer is correct

The correct answer is C. (6). (\frac{n!}{(n-3)!}=n(n-1)(n-2)). Since \(6\times5\times4=120\), (n=6).

Step 3

Exam Tip

(\frac{n!}{(n-3)!}=n(n-1)(n-2))। \(6\times5\times4=120\), इसलिए (n=6)।

Open Question Page
Ask Friends

(\frac{(n+4)!}{(n+2)!}) का सरल रूप क्या है?

What is the simplified form of (\frac{(n+4)!}{(n+2)!})?

Explanation opens after your attempt
Correct Answer

A. ((n+4)(n+3))

Step 1

Concept

((n+4)!=(n+4)(n+3)(n+2)!). After cancelling ((n+2)!), ((n+4)(n+3)) remains.

Step 2

Why this answer is correct

The correct answer is A. ((n+4)(n+3)). ((n+4)!=(n+4)(n+3)(n+2)!). After cancelling ((n+2)!), ((n+4)(n+3)) remains.

Step 3

Exam Tip

((n+4)!=(n+4)(n+3)(n+2)!)। ((n+2)!) कटने पर ((n+4)(n+3)) बचता है।

Open Question Page
Ask Friends