Algebra · SSC CGL previous year questions

In a $△$ABC, if $\frac{1}{2}\angle A+\angle B+\angle C=120^{\circ }$, then the value of $\frac{1}{4}\angle A$ is:

1. A.30°
2. B.60°
3. C.20°
4. D.40°

If , then find the value of .

1. A.146
2. B.140
3. C.142
4. D.144

15 ÷ 3 of 2 × 2 + 9 ÷ 18 of 2 × 4 − 4 ÷ 8 × 2 का मान ज्ञात करें।

1. A.5
2. B.23⁄4
3. C.73⁄4
4. D.8

x, y और z के वे मान ज्ञात करें, जिससे नीचे दिए गए समीकरणों को संतुष्ट किया जा सके: x + y + z = 12; x + y − z = 6; x − y + z = 4

1. A.x = 5, y = 4, z = −3
2. B.x = 5, y = −4, z = 3
3. C.x = 5, y = −4, z = −3
4. D.x = 5, y = 4, z = 3

If $\sqrt{x}+\frac{1}{\sqrt{x}}=7$, then the value of $x+\frac{1}{x}$ is equal to:

1. A.47
2. B.51
3. C.45
4. D.49

यदि ∆PQR ≅ ∆MON इस प्रकार है कि ∠PQR = 82°, ∠QRP = 47°, ∠RPQ = 51°, ∠MON = (5y - 8)°, QR = 24 और ON = 3x + y है, तो (x + y) ज्ञात करें।

1. A.20
2. B.14
3. C.18
4. D.16

यदि 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1 है, तो A का मान क्या होगा?

1. A.2
2. B.4
3. C.−4
4. D.−2

If $x^2+y^2=280$ and $xy=120$, then find the value of $\frac{x-y}{x+y}$.

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If , , then what is the value of ?

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

For what value of k will the lines 2x + 7ky – 8 = 0 and x + y – 9 = 0 have no solution?

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If x, y and z are positive numbers and x + y + z = 1, then the least value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ is:

1. A.11
2. B.7
3. C.5
4. D.9

If 7845K854 is divisible by 11, then what is the value of K?

1. A.9
2. B.8
3. C.6
4. D.7

If $\frac{7\sin \theta +4\cos \theta }{9\sin \theta -2\cos \theta }=\frac{5}{4}$, then the value of $\frac{{\tan }^2\theta +5}{{\tan }^2\theta -5}$ is:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k2 + 6.

1. A.72
2. B.68
3. C.70
4. D.64

If , then find the value of .

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If (a3 + b3 + c3 - 3abc) = 405, and (a - b)2 + (b - c)2 + (c -a)2 = 54, find the value of (a + b + c).

1. A.15
2. B.45
3. C.9
4. D.27

A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6. Find the value of .

1. A.4
2. B.2
3. C.6
4. D.8

If (a + b + c) = 13, and (ab + bc + ca) = 54, find the value of (a2 + b2 + c2).

1. A.63
2. B.65
3. C.61
4. D.59

If x + = 1, then the value of = ?

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

What is the value of 6 - (6 ÷ 2 - 3 + 7 - 2) × [{3 - 2 ÷ 2} × 5 - 6]?

1. A.-4
2. B.-14
3. C.-12
4. D.-16

Find the value of $\frac{{\cos }^{2}15^{\circ }-{\sin }^{2}15^{\circ }}{{\cos }^{2}145^{\circ }+{\sin }^{2}145^{\circ }}$

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If $\tan A=\frac{3}{8}$, then the value of $\frac{3\sin A+2\cos A}{3\sin A-2\cos A}$ is:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

The value of $\frac{2}{3}-\frac{5}{6}\times \frac{4}{5}÷\frac{4}{3}+\frac{1}{2}$ is:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If , and x > 1, what is the value of ?

1. A.120√3
2. B.128√3
3. C.112√3
4. D.108√3

If what is the value of ?

1. A.10404
2. B.1020√ 104
3. C.10406
4. D.10400