Number System · SSC CGL previous year questions

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2022 77 questions

Q512022 · 5 Dec 2022 · Shift 3
Simplify the following. 25 3- 75 3+ 50 3
1. A.-281250
2. B.281350
3. C.271250
4. D.-281450
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Answer: A
Q522022 · 5 Dec 2022 · Shift 3
Find the greatest 5-digit number which is divisible by 11, 33, 99, and 121.
1. A.90099
2. B.99990
3. C.99099
4. D.90909
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Answer: C
Q592022 · 5 Dec 2022 · Shift 3
What is the smallest number that should be added to 4567 so that the sum is divisible by 7?
1. A.7
2. B.5
3. C.6
4. D.4
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Answer: D
Q662022 · 5 Dec 2022 · Shift 4
The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.
1. A.218
2. B.215
3. C.220
4. D.216
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Answer: D
Q542022 · 3 Dec 2022 · Shift 1
The nearest number which is greater to 87501, and is completely divisible by 765 is :
1. A.88975
2. B.87975
3. C.87966
4. D.87775
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Answer: B
Q552022 · 3 Dec 2022 · Shift 1
Simplify : $\frac{c o s A}{1 + t a n A} - \frac{s i n A}{1 + c o t A}$
1. A.tan A
2. B.cos A - sin A
3. C.cos A.sin A
4. D.cos A + sin A
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Answer: B
Q722022 · 3 Dec 2022 · Shift 1
Calculate the HCF of $\frac{12}{5}$ , $\frac{14}{15}$ and $\frac{16}{17}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q642022 · 3 Dec 2022 · Shift 2
What will be the remainder when 742 is divided by 48?
1. A.2
2. B.3
3. C.1
4. D.0
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Answer: C
Q672022 · 3 Dec 2022 · Shift 2
What is the HCF of 36 and 198?
1. A.36
2. B.22
3. C.18
4. D.9
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Answer: C
Q662022 · 3 Dec 2022 · Shift 3
A number when divided by 7 leaves remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
1. A.3
2. B.1
3. C.4
4. D.2
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Answer: D
Q722022 · 3 Dec 2022 · Shift 3
Simplify the following: $\frac{c o s x - 3 s i n x}{2}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q632022 · 3 Dec 2022 · Shift 4
Find the largest number of 3 digits divisible by 4 and 7.
1. A.960
2. B.980
3. C.990
4. D.970
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Answer: B
Q732022 · 3 Dec 2022 · Shift 4
If the 8-digit number 123456xy is divisible by 8, then the total possible pairs of (x, y) are:
1. A.8
2. B.13
3. C.10
4. D.11
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Answer: B
Q742022 · 2 Dec 2022 · Shift 1
What is the largest common divisor of the numbers 1026, 2268 and 2430?
1. A.108
2. B.54
3. C.81
4. D.27
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Answer: B
Q542022 · 2 Dec 2022 · Shift 2
Find the weighted arithmetic mean of the first 'n' natural numbers, the weights being the corresponding numbers.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q572022 · 2 Dec 2022 · Shift 2
Simplify $\frac{x ^{2} + 2 x + y ^{2}}{x ^{3} - 5 x ^{2}}$ if $X + \frac{y ^{2}}{x} = 5$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q652022 · 2 Dec 2022 · Shift 2
What will be the least number which when doubled will be exactly divisible by 15, 18, 25 and 32?
1. A.3600
2. B.7200
3. C.6400
4. D.3200
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Answer: A
Q572022 · 2 Dec 2022 · Shift 3
The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number?
1. A.456
2. B.287
3. C.623
4. D.309
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Answer: D
Q652022 · 2 Dec 2022 · Shift 3
Simplify the following. $\frac{762 \times 762 \times 762 + 316 \times 316 \times 316}{762 \times 762 - 762 \times 316 + 316 \times 316}$
1. A.1064
2. B.1056
3. C.1042
4. D.1078
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Answer: D
Q702022 · 2 Dec 2022 · Shift 3
The HCF of two numbers 2040 and 391 is:
1. A.17
2. B.21
3. C.16
4. D.18
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Answer: A
Q632022 · 2 Dec 2022 · Shift 4
Which of the following numbers are divisible by 2, 3 and 5?
1. A.5467760
2. B.1345678
3. C.2345760
4. D.2456732
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Answer: C
Q522022 · 1 Dec 2022 · Shift 1
The HCF of two numbers is 12. Which one of the following can never be their LCM?
1. A.72
2. B.60
3. C.90
4. D.84
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Answer: C
Q562022 · 1 Dec 2022 · Shift 1
Simplify $\frac{c o s 4 5 ^{\circ}}{s e c 3 0 ^{\circ} + cosec 3 0 ^{\circ}}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q572022 · 1 Dec 2022 · Shift 1
Which of the following numbers is a divisor of $(4 9^{15} - 1)$ ?
1. A.46
2. B.14
3. C.8
4. D.50
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Answer: C
Q612022 · 1 Dec 2022 · Shift 2
Simplify x 9× x 5× x -4 × x 0× x -6 .
1. A.x4
2. B.x-4
3. C.x-6
4. D.x6
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Answer: A