SSC CGL 2023-18.07.2023-4 SSC Question Paper

SSC CGL 2023-18.07.2023-4 SSC Questions

61.
In ΔABC, if ∠A = 90°, AC = 5 cm, BC = 9 cm and in ΔPQR, ∠P = 90°, PR = 3 cm, QR = 8 cm, then:
A.
ΔABC ≅ ΔPQR
B.
ΔABC ≅ ΔPOR
C.
ΔABC ≇ ΔPQR
D.
ΔABC = ΔPQR
ANSWER :
B. ΔABC ≅ ΔPOR
62.

The following diagram shows the rainfall over two years. Which of the following months shows the highest percentage change in rainfall?

A.

January

B.

September

C.

May

D.

March

ANSWER :

D. March

63.

If \(
p = \frac{\sqrt{2} + 1}{\sqrt{2} - 1} \quad \text{and} \quad q = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}
\) then find the value of \(
\frac{p^2}{q} + \frac{q^2}{p} \)

A.

200

B.

196

C.

198

D.

188

ANSWER :

C. 198

64.
Find the exact value of cos 120°
A.
-0.5
B.
0
C.
0.5
D.
1
ANSWER :
A. -0.5
65.
A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is
A.
2:3
B.
3:4
C.
1:2
D.
3:1
ANSWER :
D. 3:1
66.

Observe the given figure. The distance between the two centers AB is

A.

10 cm

B.

11 cm

C.

13 cm

D.

12 cm

ANSWER :

C. 13 cm

67.

Quantity of various food items used by a restaurant during 4 months of a year (in kg).

Swipe →
Food Item
Month
March April May June
A 220 180 270 320
B 255 320 390 420
C 280 295 280 315
D 350 310 250 280
E 308 340 350 365

What is the average quantity of food item C used during all the 4 months together?

A.

303.7kg

B.

292.5kg

C.

211.8kg

D.

253.6kg

ANSWER :

B. 292.5kg

68.
Find the fourth proportional of 144, 192 and 216.
A.
361
B.
288
C.
324
D.
289
ANSWER :
B. 288
69.

Simplify the following expression.
\(
\frac{7}{10} \div \frac{3}{7} \text{ of } \left( 2 \tfrac{3}{10} + 2 \tfrac{3}{5} \right)
+ \frac{1}{5} \div 1 \tfrac{2}{5} - \frac{2}{7}
\)

A.

-4/21

B.

5/21

C.

4/21

D.

-5/21

ANSWER :

C. 4/21

70.
Using tan(A - B) = (tanA - tanB)/(1 + tanA·tanB) find the value of tan 15°
A.
√3 + 1
B.
√3 - 1
C.
- √3
D.
+ √3
ANSWER :
C. - √3