Other Quant · SSC CGL previous year questions

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2024 57 questions

Q622024 · 26 Sept 2024 · Shift 1
Annual income of five schools (in lakhs) In case of how many schools, the income by semester fee is less than three times of donation?
1. A.4
2. B.2
3. C.3
4. D.5
Show answer
Answer: B
Q642024 · 26 Sept 2024 · Shift 2
If $p = \frac{s i n A}{1 + c o s A}$ , then $\frac{s i n A}{1 - c o s A}$ is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q562024 · 25 Sept 2024 · Shift 1
$9 \div [1 + {4 \times (\frac{5}{6} - \frac{1}{3} + \frac{1}{2})}]$ is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q662024 · 25 Sept 2024 · Shift 1
Which of the following fractions is the largest?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q722024 · 25 Sept 2024 · Shift 1
The circumference of the base of the cylindrical vessel is 154 cm and its height is 49 mm. How many litres of water can it hold? (correct to three places of decimals, use )
1. A.2.439
2. B.9.244
3. C.4.329
4. D.3.924
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Answer: B
Q612024 · 25 Sept 2024 · Shift 2
If A:B = 6 : 8 and B:C = 5 : 11, then A:B:C is:
1. A.14:31:25
2. B.15:32:44
3. C.15:20:44
4. D.11:23:14
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Answer: C
Q662024 · 25 Sept 2024 · Shift 3
Seema walks around a circular field at the rate of 3 rounds per hour, while Priya runs around it at the rate of 8 rounds per hour. They start in the same direction from the same point at 11:54 p.m. They shall first cross each other at:
1. A.12:06 a.m.
2. B.12:06 p.m.
3. C.12:00 a.m.
4. D.11:59 p.m.
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Answer: A
Q732024 · 25 Sept 2024 · Shift 3
Cindy bought 15 apples and 12 oranges and paid a sum of ₹447 for the purchase. Which of the statements given below is inconsistent with the information given in the previous statement, leading to no possible prices of the two fruits?
1. A.Purchased 10 apples and 13 oranges and paid a sum of ₹353
2. B.Purchased 25 apples and 20 oranges and paid a sum of ₹745
3. C.Purchased 35 apples and 28 oranges and paid a sum of ₹1,029
4. D.Purchased 12 apples and 8 oranges and paid a sum of ₹340
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Answer: C
Q752024 · 25 Sept 2024 · Shift 3
In ∆PQR, S and T are the midpoints of the sides PQ and PR, respectively. The length of the side QR is 12 cm. If ST is parallel to QR, then find the length (in cm) of ST.
1. A.4
2. B.8
3. C.6
4. D.10
Show answer
Answer: C
Q572024 · 24 Sept 2024 · Shift 1
If $sec θ = 2$ , then $cosec θ$ is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q752024 · 24 Sept 2024 · Shift 1
Amit’s father is aged five times more than Amit. After 6 years, he would be three and a half times of Amit’s age. After further 9 years, how many times of Amit’s age would he be?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q522024 · 24 Sept 2024 · Shift 2
Ghanshyam is thrice as old as Akash. 10 years ago, Ghanshyam was four times as old as Akash. What is the difference between their current ages (in years)?
1. A.65
2. B.60
3. C.50
4. D.55
Show answer
Answer: B
Q622024 · 24 Sept 2024 · Shift 2
In △DEF, DE = 12 cm, EF = 15 cm, and ∠DEF = 90°. △DEF is congruent to △XYZ. If YZ = 15 cm, then what is the length of XZ?
1. A.5√41 cm
2. B.4√41 cm
3. C.2√41 cm
4. D.3√41 cm
Show answer
Answer: D
Q582024 · 24 Sept 2024 · Shift 3
If a + b = c, then the expression a3 + b3 - c3 + 3abc will be equal to:
1. A.0
2. B.1
3. C.3
4. D.2
Show answer
Answer: A
Q672024 · 23 Sept 2024 · Shift 1
Find the length of the longest stick that can be fitted in a cubical vessel of edge 70 cm.
1. A.70√3 cm
2. B.35√3 cm
3. C.10√3 cm
4. D.70√2 cm
Show answer
Answer: A
Q572024 · 23 Sept 2024 · Shift 3
Let , then which of the following expressions has the value equal to 12?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q742024 · 23 Sept 2024 · Shift 3
A customer pays ₹975 in instalments. The payment is done each month ₹5 less than the previous month. If the first instalment is ₹100, how much time will be taken to pay the entire amount?
1. A.26 months
2. B.14 months
3. C.27 months
4. D.15 months
Show answer
Answer: D
Q532024 · 19 Sept 2024 · Shift 1
In a family, the combined age of husband, wife and a son is 90 years. The husband is the oldest. The difference in the ages of the husband and wife is rd the age of their son. After 10 years, the age of the son would be half the age of his father. What is the present age of his mother (in years)?
1. A.40
2. B.45
3. C.35
4. D.30
Show answer
Answer: C
Q562024 · 19 Sept 2024 · Shift 2
Three years ago, the age of a person was six times the age of his younger brother. Eight years later, the age of the person will be three years less than twice the age of his younger brother. Find the present ages of the person and his younger brother.
1. A.4 years and 12 years
2. B.12 years and 4 years
3. C.5 years and 15 years
4. D.15 years and 5 years
Show answer
Answer: D
Q732024 · 19 Sept 2024 · Shift 2
The sum of the ages of 6 children born at the interval of two years each is 90 years. What is the age (in years) of the eldest child?
1. A.10
2. B.16
3. C.14
4. D.20
Show answer
Answer: D
Q622024 · 19 Sept 2024 · Shift 3
In ΔPQR, if PT is the median, then which of the following is correct?
1. A.PQ² + PR² = PT² + QR²
2. B.PQ² + PR² = 2(PT² + QT²)
3. C.PQ² + PR² = PT² + QT²
4. D.PQ² + PR² = 2(PT² - QT²)
Show answer
Answer: B
Q732024 · 19 Sept 2024 · Shift 3
In a kite ABCD, longer diagonal BD is drawn. If $∠ A B D = 5 4^{\circ}$ and $∠ A D B = 5 0^{\circ}$ , then what is the measure (in degrees) of $∠ D C B$ ?
1. A.108
2. B.100
3. C.54
4. D.76
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Answer: D
Q632024 · 18 Sept 2024 · Shift 1
Simplify the following: $[(5 \frac{1}{2} - 3 \frac{1}{3}) of 1 \frac{5}{13} + 1 - 2 \times 3 \frac{5}{2} \div 2 \frac{3}{4}]$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q562024 · 18 Sept 2024 · Shift 2
In a ∆PQR, PQ = PR and PT is perpendicular to QR. If PQ = 17 cm, PT = 15 cm, then what is the measure (in cm) of QR?
1. A.8
2. B.32
3. C.24
4. D.16
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Answer: D
Q602024 · 18 Sept 2024 · Shift 2
Which of the following fractions is the largest?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A