Other Quant · SSC CGL previous year questions

Given $a=\sqrt{5}$, what is $(a+1{)}^2+(a-1{)}^2$?

1. A.13
2. B.12
3. C.14
4. D.15

Suppose ; then which of the following is true?

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

What is the radian measure of 150°?

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

Which of these lines is parallel to ?

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

If $\sin (90^{\circ }-x)=\cos (2x)$, then what is x?

1. A.0°
2. B.30°
3. C.25°
4. D.15°

A and B share a rented field. A utilizes 20 horses for 5 months, while B uses 30 cows for 4 months and 45 sheep for 5 months. If 2 horses are equivalent to 5 cows, and 3 cows are equal to 9 sheep, what portion of the rent is A pays?

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

Arrange the fractions $\frac{5}{9},\frac{4}{7},\frac{3}{5}$, and $\frac{2}{3}$ in ascending order.

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

$31^3+18^3-37^3+210$ is equal to:

1. A.−36810
2. B.−14820
3. C.−45670
4. D.−23450

Let $x=\sqrt{3}+\sqrt{5}$ and $y=\sqrt{8}+\sqrt{2}$. Which is greater?

1. A.x = y
2. B.x > y
3. C.y > x
4. D.Cannot be determined

What is $\frac{5\pi }{4}$ radians in degrees?

1. A.225°
2. B.180°
3. C.240°
4. D.360°

The line $y=-x+4$ passes through which of the following points?

1. A.(2, 2)
2. B.(5, 4)
3. C.(1, 2)
4. D.(3, 6)

If $\tan (90^{\circ }-A)=\sqrt{3}$, what is $\sin A$?

1. A.1/2
2. B.√3/2
3. C.√2/2
4. D.3/4

If $\sec A=13/5$ and A is acute, find $\sin A$.

1. A.5/13
2. B.12/13
3. C.13/12
4. D.13/5

If 60% of A = 0.3 of B = $\frac{1}{6}$ of C, find A : B : C.

1. A.5 : 10 : 18
2. B.18 : 10 : 5
3. C.6 : 3 : 10
4. D.10 : 5 : 18

A car travels 0.875 km in 1 minute. How far does it travel in 1 hour 45 minutes?

1. A.91.875 km
2. B.94.576 km
3. C.95.444 km
4. D.92.582 km

Two individuals, A and B, have rented a field. A places 21 horses in the field for 6 months and 15 cows for 2 months. B adds 15 cows for 6 months and 40 sheep for 7.5 months. If 3 horses consume the same amount of food as 5 cows, and 6 cows eat as much as 10 sheep, what portion of the rent should A cover?

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

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

If $p=\frac{\sin A}{1+\cos A}$, then $\frac{\sin A}{1-\cos A}$ is equal to:

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

$9÷\left[1+\left\{4\times \left(\frac{5}{6}-\frac{1}{3}+\frac{1}{2}\right)\right\}\right]$ is equal to:

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

Which of the following fractions is the largest?

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

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

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

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.

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

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