SSC CGL Previous Year Question Paper 21st April Shift 1 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC

A shopkeeper bought toffees at a rate of 10 for ₹15 and sold them at a rate of 16 for ₹40. Find his profit percentage. (correct to two decimal places?

A.
65.05%
B.
33.33%
C.
50.55%
D.
66.67%

2. SSC CGL 21st April Shift 1 - QA | Trigonometry - SSC

From the masthead of a ship of 180 m height to boat, a depression angle of 60 degrees formed. Find out the distance of ship to boat( in m).

A.
360
B.
60√3
C.
180√3
D.
180

3. SSC CGL 21st April Shift 1 - QA | Simplification - SSC

Find the value of the following expression:

$\frac{4 \frac{1}{3} + 3 \frac{1}{3} \times 1 \frac{4}{5} \div 3 \frac{3}{4} \times (6 \frac{1}{4}) of 1 \frac{1}{15}}{\frac{2}{3} \div \frac{5}{6} \times \frac{2}{3}}$

A.
$28 \frac{1}{8}$
B.
$\frac{1}{8}$
C.
$289 \frac{3}{8}$
D.
$12 \frac{1}{2}$

4. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC

Find the smallest number which should be added to the smallest number divisible by 6, 9 and 15 to make it a perfect square.

A.
10
B.
9
C.
19
D.
21

5. SSC CGL 21st April Shift 1 - QA | Circles - SSC

The radii of two concentric circles with centre O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle ar C and AD is a diameter. What is the length of D?

A.
42 cm
B.
36 cm
C.
35 cm
D.
38 cm

6. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC

Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6

A.
9
B.
8
C.
5
D.
4

7. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC

A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in Rs, to the nearest rupee) of a food processor costing Rs 4580?

A.
2519
B.
2977
C.
2382
D.
3664

8. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC

If 5x - $\frac{1}{4 x}$ = 6, x > 0, then find the value of 25x² - $\frac{1}{16 x^{2}}$

A.
$6 \sqrt{41}$
B.
36
C.
$\sqrt{246}$
D.
$6 \sqrt{31}$

9. SSC CGL 21st April Shift 1 - QA | Triangles - SSC

In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm. AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).

A.
17
B.
11
C.
15
D.
9

10. SSC CGL 21st April Shift 1 - QA | Time & Work - SSC

A and B working alone can complete a work in 8 days and 12 days. respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?

A.
6
B.
5
C.
8
D.
10

11. SSC CGL 21st April Shift 1 - QA | Ratio, Proportion & Variation - SSC

Person A started a business by investing ₹65,000. After a few months. B joined him by investing ₹50.000. Three months after the joining of B, C joined the two with an investment of ₹55.000. At the end of the year. A got 50% of profit as his share. For how many months did A alone finance the business?

A.
2
B.
3
C.
5
D.
4

12. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC

The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts -Expenditure.

ln which year did the company gain the minimum amount?

A.
2016
B.
2017
C.
2019
D.
2018

13. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC

Three positive numbers are in the ratio 2 : 3 : 4. The sum of their squares is 2349. The average of the first two numbers is:

A.
36
B.
27.5
C.
18
D.
22.5

14. SSC CGL 21st April Shift 1 - QA | Mensuration - SSC

The sides of a triangular field are 360 m. 480 m and 600 m. Its area is equal to the area of a square field . What is the side (in m) of the square field?

A.
$120 \sqrt{6}$
B.
$160 \sqrt{6}$
C.
$160 \sqrt{3}$
D.
$120 \sqrt{3}$

15. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC

A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?

A.
Decrease 18%
B.
Increase 15%
C.
Increase 20%
D.
Decrease 25%

16. SSC CGL 21st April Shift 1 - QA | Triangles - SSC

In a ∆ABC, D, E and F are the mid-points of side BC, CA and AB respectively. If BC = 25.6 cm. CA = 18.8 cm and AB = 20.4 cm, what is the perimeter (in cm) of the ∆DEF?

A.
36.8
B.
30.6
C.
32.4
D.
34.4

17. SSC CGL 21st April Shift 1 - QA | Simplification - SSC

Find the value of the following expression:

$\frac{{(7.03)}^{3} - 0.0027}{{(7.03)}^{2} + 2.109 + {(0.3)}^{2}}$

A.
7.06
B.
7
C.
7.33
D.
6.73

18. SSC CGL 21st April Shift 1 - QA | Simple & Compound Interest - SSC

Anil lent a sum of ₹5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10 per annum beyond 4 years. How much interest (in ₹) will he earn at the end of 10 years?

A.
5,000
B.
4,400
C.
4,200
D.
3,500

19. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart.

Total number of employees = 2400.

If 40%, of the number of employees in office A are shifted equally to office B and E, then what will be the sum of the number of employees in B and C?

A.
648
B.
735
C.
545
D.
72

20. SSC CGL 21st April Shift 1 - QA | Circles - SSC

O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?

A.
$2 \sqrt{194}$
B.
20
C.
25
D.
24

21. SSC CGL 21st April Shift 1 - QA | Trigonometry - SSC

If A = 30°, what is the value of

$\frac{8 \sin A + 11 \cos e c A - c o t^{2} A}{10 \cos 2 A}$

A.
$5 \frac{1}{5}$
B.
$4 \frac{3}{5}$
C.
$4 \frac{2}{5}$
D.
$3 \frac{4}{5}$

22. SSC CGL 21st April Shift 1 - QA | Time, Speed & Distance - SSC

The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?

A.
5
B.
8
C.
10
D.
6

23. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC

The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.

What is the percentage of students who passed the test?

A.
75%
B.
30%
C.
72%
D.
66.66%

24. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC

Performance of 1800 students in grades has been shown in the following pie chart.
The number of students getting grade B is what percentage of the number of students getting grade A?

A.
97%
B.
90%
C.
95%
D.
85%

25. SSC CGL 21st April Shift 1 - QA | Trigonometry - SSC

If (2 cos A + 1) (2 cos A - 1) = 0, 0° < A ≤ 90°

A.
90°
B.
45°
C.
30°
D.
60°

SSC CGL 21st April Shift 1 - QA

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