SSC CGL Previous Year Question Paper 13th April Shift 2 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 13th April Shift 2 - QA | Number Theory - SSC

A and B are two prime numbers such that A > B and their LCM is 209. The value of B² - A is:

A.
109
B.
102
C.
111
D.
121

2. SSC CGL 13th April Shift 2 - QA | Simplification - SSC

If 2 $\sqrt{2}$ $x^{3}$ - 3 $\sqrt{3}$ $y^{2}$ = ( $\sqrt{2}$ $x$ - $\sqrt{3}$ $y$ )(A $x^{2}$ - Bxy + C $y^{2}$ ), then the value of (A² + B² + C²) is:

A.
19
B.
11
C.
18
D.
16

3. SSC CGL 13th April Shift 2 - QA | Percentage, Profit & Loss - SSC

P and Q start a shop with a capital of ₹1,50,000 and ₹4,50.000, respectively. After a year, out of the profit of ₹1,60.000, P gets his share of profit plus some money that is not a part of the profit, as his salary. If P gets a total of ₹70,000, what is the salary (in ₹) he received?

A.
50,000
B.
30,000
C.
40,000
D.
25,000

4. SSC CGL 13th April Shift 2 - QA | Simple & Compound Interest - SSC

A sum of ₹4,620 is to be paid back in 2 equal annual instalments. How much is each instalment (in ₹) if the interest is compounded annually at 10% per annum?

A.
2,662
B.
2,420
C.
2,552
D.
2,750

5. SSC CGL 13th April Shift 2 - QA | Trigonometry - SSC

The expression (cos⁶ θ + sin⁶ θ - 1) (tan² θ + cot² θ + 2) + 3 is equal to:

A.
0
B.
1
C.
2
D.
-1

6. SSC CGL 13th April Shift 2 - QA | Time, Speed & Distance - SSC

A train covers a distance of 225 km in 2 $\frac{1}{2}$ hours at a uniform speed. The time taken by the train (in hours) to cover 2 a distance of 630 km at the same speed is:

A.
5
B.
4
C.
7
D.
6

7. SSC CGL 13th April Shift 2 - QA | Lines & Angles - SSC

In △ABC , D is a point on side BC such that ∠ADC = ∠BAC. If CA = 15 cm and CD = 9 cm, then CB (in cm) =?

A.
25
B.
15
C.
10
D.
12

8. SSC CGL 13th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A shopkeeper marks an article at a price 20% higher than its cost price and allows 10% discount. Find his gain percentage.

A.
8%
B.
9%
C.
9.5%
D.
10%

9. SSC CGL 13th April Shift 2 - QA | Simplification - SSC

The value of

$\frac{48.3 \times [{(4.95)}^{2} + 4.95 \times 13.25]}{[{(12.55)}^{2} - {(5.65)}^{2}] \times 19.8}$

A.
0.975
B.
1.75
C.
17.5
D.
175

10. SSC CGL 13th April Shift 2 - QA | Trigonometry - SSC

If 5 sin θ − 4 cos θ = 0.0° < 0 < 90°, then the value of $\frac{5 \sin θ - \cos θ}{5 \sin θ - 3 \cos θ}$

A.
$\frac{2}{7}$
B.
$\frac{4}{7}$
C.
$\frac{3}{7}$
D.
$\frac{6}{7}$

11. SSC CGL 13th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A man bought toffees at 3 for a rupee. How many toffees for a rupee must he sell to gain 50%?

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

12. SSC CGL 13th April Shift 2 - QA | Lines & Angles - SSC

In the given figure, O is the centre of the circle. ∠PDQ = 54°. What is the measure (in degree) of ∠PRQ?

A.
153
B.
207
C.
235
D.
137

13. SSC CGL 13th April Shift 2 - QA | Circles - SSC

What will be the total cost (in ₹) of polishing the curved surface of a wooden cylinder at rate of ₹50 per m², if its diameter is 70 cm and height is 6 m?

(Taken π = 22/7)

A.
624
B.
612
C.
675
D.
660

14. SSC CGL 13th April Shift 2 - QA | Triangles - SSC

In △ABC, AB = 7 cm, BC = 10 cm, and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then DC (in cm) =?

A.
$\frac{14}{3}$
B.
$\frac{17}{3}$
C.
$\frac{16}{3}$
D.
$\frac{11}{3}$

15. SSC CGL 13th April Shift 2 - QA | Average, Mixture & Alligation - SSC

The average of sixteen numbers is 48. The average of the first six of these numbers is 45 and that of the last seven numbers is 53. The seventh and the eighth numbers are, respectively, 3 and 7 greater than the ninth number. What is the average of the ninth and seventh numbers?

A.
40.5
B.
39
C.
41.5
D.
42

16. SSC CGL 13th April Shift 2 - QA | Tables & Graphs - SSC

The given histogram shows the heights of 232 students of an athletic club and their numbers. Study the histogram carefully and answer the questions that follows.

What is the average height (in cm) of 32 tallest students of the athletic club?
Express your answer correct to one place of decimal.

A.
166.4
B.
167.4
C.
165.4
D.
164.4

17. SSC CGL 13th April Shift 2 - QA | Time & Work - SSC

A tyre has 3 punctures. The first puncture alone would have made the tyre flat in 9 minutes, the second alone would have done it in 18 minutes, the third alone would have done it in 6 minutes. If the air leaks out at a constant rate, then how long (in minutes) does it take for all the punctures together to make it flat ?

A.
2
B.
6
C.
3
D.
4

18. SSC CGL 13th April Shift 2 - QA | Tables & Graphs - SSC

The following bar graph shows the total number of youth (in lakhs) and the nmnber of employed youth (in lakhs) in 5 states A, B, C, D and E.
How many youth (in lakhs) are unemployed in states A and C taken together?

A.
2.25
B.
2.8
C.
3
D.
2.85

19. SSC CGL 13th April Shift 2 - QA | Tables & Graphs - SSC

Study the given pie chart and answer the question that follows.
The pie chart represents the percentage-wise distribution of the total number of Vanilla cakes and Chocolate cakes sold every day in a week. The total number of cakes sold in a week = 10500.

The ratio of the number of Vanilla cakes sold to the number of Chocolate cakes sold on Saturday is 4: 3. the selling price of one Vanilla cake is ₹8 and that of one Chocolate cake is ₹15, then the total amount earned (in ₹) by selling all Vanilla cakes and Chocolate cakes on Saturday is:

A.
18,480
B.
14,880
C.
20,000
D.
10,488

20. SSC CGL 13th April Shift 2 - QA | Number Theory - SSC

If 8A5146B is divisible by 88 then what is the value of AB?

A.
9
B.
15
C.
20
D.
12

21. SSC CGL 13th April Shift 2 - QA | Tables & Graphs - SSC

The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.
The number of employed youth in state B is what percentage of the number of employed youth in state E?

A.
87%
B.
87.5%
C.
88.5%
D.
85%

22. SSC CGL 13th April Shift 2 - QA | Coordinate Geometry - SSC

From a point P on a level ground, the angle of elevation of the top of the tower is . If the distance of point P from the foot of the tower is 510 m, then 50% of the height of the tower (in m) is:

A.
85
B.
85 $\sqrt{3}$
C.
$\frac{85 \sqrt{3}}{3}$
D.
150 $\sqrt{3}$

23. SSC CGL 13th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A spends 65% of his income. His income is increased by 20.1% and the expenditure is increased by 20%. By what percent (correct to one decimal place) does his saving increase or decrease?

A.
Decrease by 17.7%
B.
Increase by 20.3%
C.
Decrease by 18.9%
D.
Increase by 21.5%

24. SSC CGL 13th April Shift 2 - QA | Simplification - SSC

If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then find the value of $\sqrt{x^{3} + y^{3} + z^{3} + x y z}$ .

A.
10
B.
12
C.
6
D.
9

25. SSC CGL 13th April Shift 2 - QA | Circles - SSC

Chords AB and CD of a circle intersect externally at P. If AB= 7 cm. CD= I cm and PD= 5 cm, then the length of PB (in cm) is:

A.
5
B.
10
C.
3
D.
8

SSC CGL 13th April Shift 2 - QA

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