Algebra · SSC CGL previous year questions

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2022 129 questions

Q692022 · 6 Dec 2022 · Shift 2
What is the value of $\frac{c o s 3 7 ^{\circ}}{s i n 5 3 ^{\circ}}$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q732022 · 6 Dec 2022 · Shift 2
If $p = 7 + 43$ , then what is the value of $\frac{p ^{6} + p ^{4} + p ^{2} + 1}{p ^{3}}$ ?
1. A.2617
2. B.2167
3. C.2716
4. D.2176
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Answer: C
Q652022 · 6 Dec 2022 · Shift 3
यदि 2a + 3b = 10 और ab = 3 है, तो 4a2 + 9b2 का मान ज्ञात करें।
1. A.60
2. B.62
3. C.64
4. D.66
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Answer: C
Q672022 · 6 Dec 2022 · Shift 3
यदि (4x - 7y) = 11 और xy = 8 है, तो 16x2 + 49y2 का मान क्या है, यहाँ x और y धनात्मक संख्याएँ हैं?
1. A.596
2. B.484
3. C.569
4. D.448
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Answer: C
Q732022 · 6 Dec 2022 · Shift 3
What is the value of $(k - \frac{1}{k}) (k^{2} + \frac{1}{k ^{2}}) (k^{4} + \frac{1}{k ^{4}}) (k^{8} + \frac{1}{k ^{8}}) (k^{16} + \frac{1}{k ^{16}}) (k^{32} + \frac{1}{k ^{32}})$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q552022 · 6 Dec 2022 · Shift 4
If $x + \frac{1}{x} = 2$ , then the value of $x^{57} + \frac{1}{x ^{57}}$ is:
1. A.1
2. B.-2
3. C.0
4. D.2
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Answer: D
Q602022 · 6 Dec 2022 · Shift 4
If $m x^{m} - n x^{n} = 0$ , then what is the value of $\frac{1}{x ^{m} + x ^{n}} + \frac{1}{x ^{m} - x ^{n}}$ terms of $x^{n}$ is: Where x, m, n are > 0
1. A.2mn/(xn(n2 + m2)
2. B.2mn/(xn(m2 - n2)
3. C.2mn/(xn(m2 + n2)
4. D.2mn/(xn(n2 - m2)
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Answer: D
Q642022 · 6 Dec 2022 · Shift 4
If, for a non-zero x, $5 x^{2} + 7 x + 5 = 0$ , then the value of $x^{3} + \frac{1}{x ^{3}}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q562022 · 5 Dec 2022 · Shift 1
If $x + \frac{1}{x} = - 14$ , and x < -1, what will be the value of $x^{2} - \frac{1}{x ^{2}}$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q632022 · 5 Dec 2022 · Shift 1
If $k^{4} + \frac{1}{k ^{4}} = 47$ , then what is the value of $k^{3} + \frac{1}{k ^{3}}$ ?
1. A.4.5
2. B.54
3. C.18
4. D.9
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Answer: C
Q552022 · 5 Dec 2022 · Shift 2
यदि a - b = 2 और a3 - b3 = 80 है, तो ab का मान क्या होगा?
1. A.12
2. B.-24
3. C.24
4. D.-12
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Answer: A
Q562022 · 5 Dec 2022 · Shift 2
If , then the value of x is :
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q692022 · 5 Dec 2022 · Shift 2
Which of the following statement is correct? I. The value of $10 0^{2} - 9 9^{2} + 9 8^{2} - 9 7^{2} + 9 6^{2} - 9 5^{2} + 9 4^{2} - 9 3^{2} + \dots + 2 2^{2} - 2 1^{2}$ is 4840. II. The value of $(k^{2} + \frac{1}{k ^{2}}) (k - \frac{1}{k}) (k^{4} + \frac{1}{k ^{4}}) (k + \frac{1}{k}) (k^{4} - \frac{1}{k ^{4}})$ is $k^{16} - \frac{1}{k ^{16}}$ .
1. A.Neither I nor II
2. B.Only II
3. C.Only I
4. D.Both I and II
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Answer: C
Q632022 · 5 Dec 2022 · Shift 3
सही बीजगणितीय व्यंजक का चयन कीजिए।
1. A.ab – a – b + 1 = (a – 1) (b – 1)
2. B.ab + a – b + 1 = (1 – a) (1 – b) (1 – a) (1 + b)
3. C.ab – a – b + 1 = (1 – a) (b – 1)
4. D.ab – a – b + 1 = (a – 1) (1 – b)
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Answer: A
Q642022 · 5 Dec 2022 · Shift 3
1002 - 992 + 982 - 972 + 962 - 952 + 942 - 932 + ................ 12 2- 112 का मान ज्ञात कीजिए।
1. A.5050
2. B.4985
3. C.4995
4. D.4950
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Answer: C
Q522022 · 5 Dec 2022 · Shift 4
If x 2+ y 2+ z 2= xy + yz + zx and x = 1, then find the value of
1. A.2
2. B.0
3. C.-1
4. D.1
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Answer: D
Q552022 · 5 Dec 2022 · Shift 4
If $x + \frac{1}{2 x} = 3$ , then evaluate $8 x^{3} + \frac{1}{x ^{3}}$ .
1. A.212
2. B.216
3. C.180
4. D.196
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Answer: C
Q672022 · 5 Dec 2022 · Shift 4
यदि x2 − 2xy = 84 और x − y = −10 है, तो y का मान क्या है?
1. A.2
2. B.1
3. C.4
4. D.3
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Answer: C
Q742022 · 5 Dec 2022 · Shift 4
If the 9-digit number 83P93678Q is divisible by 72, then what is the value of $P^{2} + Q^{2} + 12$ ?
1. A.6
2. B.7
3. C.8
4. D.9
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Answer: C
Q622022 · 3 Dec 2022 · Shift 1
If $(4 a + \frac{5}{a} + 5) = 14$ , what is the value of $(16 a^{2} + \frac{25}{a ^{2}})$ ?
1. A.25
2. B.36
3. C.41
4. D.40
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Answer: C
Q672022 · 3 Dec 2022 · Shift 1
If $x - \frac{1}{x} = 13$ , what will be the value of $x^{4} + \frac{1}{x ^{4}}$ ?
1. A.28561
2. B.29243
3. C.27887
4. D.29239
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Answer: D
Q602022 · 3 Dec 2022 · Shift 2
If $x = 3 + 22, x > 0$ , then the value of $x - \frac{1}{x}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q702022 · 3 Dec 2022 · Shift 2
If , then what is the value of ? (x < 0)
1. A.-2
2. B.-1
3. C.1
4. D.0
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Answer: D
Q722022 · 3 Dec 2022 · Shift 2
If x - y = 1 and $x^{2} + y^{2} = 41$ where $x, y \geq 0$ , then the value of x + y will be:
1. A.9
2. B.8
3. C.6
4. D.7
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Answer: A
Q732022 · 3 Dec 2022 · Shift 2
$△ X Y Z \sim △ GS T$ and XY : GS = 2 : 3, XV is the median to the side YZ, and GD is the median to the side ST. The value of $(\frac{Y V}{S D})^{2}$ is ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A