SSC CGL Mock – Tier I Mock Test 01 – Section C · Quantitative Aptitude
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Answer: ₹ 2,400. 8,000 × 7.5 × 4/100 = 2,400.
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SSC CGL Mock – Tier I Mock Test 01 – Section C · Quantitative Aptitude – 25 questions, subject: Full Mock Tests. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
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1.
A car covers 270 km in 4 hours 30 minutes. What is its average speed?
Correct Answer: B [60 km/h]
Explanation:
Answer: 60 km/h. 270 ÷ 4.5 = 60 km/h.
2.
Three brothers share an inheritance of ₹ 5,400 in the ratio 2 : 3 : 4. How much does the brother with the middle share receive?
Correct Answer: A [₹ 1,800]
Explanation:
Answer: ₹ 1,800. B = 3/9 × 5,400 = 1,800.
3.
In triangle ABC, ∠A = 52° and ∠B = 68°. What is the exterior angle at C?
Correct Answer: C [120°]
Explanation:
An exterior angle equals the sum of the two interior opposite angles: 52° + 68° = 120°.
4.
Walking round a regular polygon, you turn through 30° at every corner. How many sides does the polygon have?
Correct Answer: A [12]
Explanation:
Answer: 12. 360° ÷ 30° = 12.
5.
Diagram-basedTwo tangents drawn from an outside point P touch the circle (centre O) at A and B and meet at an angle of 70° at P, as shown. What is the angle AOB between the two radii?
Correct Answer: C [110°]
Explanation:
∠OAP = ∠OBP = 90°, so in quadrilateral OAPB, ∠AOB = 360° − 180° − 70° = 110°.
6.
Rice costing ₹ 36 per kg is mixed with rice costing ₹ 51 per kg in the ratio 3 : 2. What is the cost of the mixture per kg?
Correct Answer: D [₹ 42]
Explanation:
Answer: ₹ 42. (3 × 36 + 2 × 51)/5 = 42.
7.
A trader buys a mixer for ₹ 640 and sells it for ₹ 800. What is his profit per cent?
Correct Answer: B [25%]
Explanation:
Answer: 25%. Profit 160 on cost 640 = 25%.
8.
A jacket marked ₹ 1,200 is sold at a discount of 15%. What is the selling price?
Correct Answer: B [₹ 1,020]
Explanation:
Answer: ₹ 1,020. 1,200 × 0.85 = 1,020.
9.
In an election between two candidates, the winner polled 58% of the valid votes and won by 4,800 votes. How many valid votes were polled?
Correct Answer: A [30,000]
Explanation:
Margin = 58% − 42% = 16% of the votes = 4,800 → total = 30,000.
10.
Only one of these four-digit numbers is a multiple of 72. Which is it?
Correct Answer: D [5,976]
Explanation:
Need divisibility by 72: 5,976 → last three digits 976 = 8 × 122 and digit sum 27 → divisible; 5,796 and 5,994 fail the 8-test, 5,968 fails the 9-test.
11.
Two numbers have an HCF of 12 and their product is 2,160. What is their LCM?
Correct Answer: C [180]
Explanation:
HCF × LCM = product → LCM = 2,160 ÷ 12 = 180.
12.
Two numbers differ by 4 and their product is 21. Find the sum of their squares.
Correct Answer: B [58]
Explanation:
a² + b² = (a − b)² + 2ab = 16 + 42 = 58.
13.
Solve 4x − 9 = 2x + 7 and then work out 3x + 1.
Correct Answer: D [25]
Explanation:
2x = 16 → x = 8 → 3x + 1 = 25.
14.
The graph of 3x − 4y = 12 is a straight line. What is its gradient (slope)?
Correct Answer: A [3/4]
Explanation:
4y = 3x − 12 → y = (3/4)x − 3 → slope 3/4.
15.
What is the area of a square whose diagonal is 10 cm?
Correct Answer: C [50 cm²]
Explanation:
Answer: 50 cm². Area = d²/2 = 100/2 = 50 cm².
16.
All six faces of a cube together have an area of 294 cm². How much space does the cube occupy?
Correct Answer: B [343 cm³]
Explanation:
6a² = 294 → a = 7 cm → volume = 343 cm³.
17.
Evaluate: sin 45° × cos 45° + tan 60° × cot 60°
Correct Answer: D [3/2]
Explanation:
(1/√2)(1/√2) + 1 = 1/2 + 1 = 3/2.
18.
A kite is flying at a height of 60 m. Its string, assumed straight, makes an angle of 30° with the ground. How long is the string?
Correct Answer: C [120 m]
Explanation:
Answer: 120 m. sin 30° = 60/L → L = 120 m.
19.
The average of six numbers is 42. When one number is removed, the average of the rest becomes 40. Which number was removed?
Correct Answer: A [52]
Explanation:
6 × 42 − 5 × 40 = 252 − 200 = 52.
20.
Data tableHow many books did shop R sell in the three months together?
Directions (Q 70–73): The table shows the number of books sold by four shops in three months (fictional data).
| Shop | January | February | March |
|---|---|---|---|
| P | 120 | 150 | 180 |
| Q | 90 | 110 | 160 |
| R | 140 | 130 | 150 |
| S | 100 | 120 | 110 |
Correct Answer: B [420]
Explanation:
Answer: 420. 140 + 130 + 150 = 420.
21.
(Use the directions above – Q 70–73)
Data tableWhich shop sold the fewest books in February?
Data tableWhich shop sold the fewest books in February?
Correct Answer: A [Shop Q]
Explanation:
February: P 150, Q 110, R 130, S 120 → Q.
22.
(Use the directions above – Q 70–73)
Data tableShop Q's March sales were higher than its January sales by what per cent?
Data tableShop Q's March sales were higher than its January sales by what per cent?
Correct Answer: D [77 7/9%]
Explanation:
(160 − 90)/90 × 100 = 77 7/9%.
23.
(Use the directions above – Q 70–73)
Data tableWhat is the ratio of the total sales of all four shops in January to that in March?
Data tableWhat is the ratio of the total sales of all four shops in January to that in March?
Correct Answer: C [3 : 4]
Explanation:
January 450, March 600 → 3 : 4.
24.
Arjun alone paints a hall in 12 days; Bala alone needs 24 days. If both paint it together from the start, how many days does the job take?
Correct Answer: A [8 days]
Explanation:
1/12 + 1/24 = 3/24 = 1/8 → 8 days.
25.
Kavya deposits ₹ 8,000 for 4 years in a scheme paying 7.5% simple interest a year. How much interest does she earn?
Correct Answer: C [₹ 2,400]
Explanation:
Answer: ₹ 2,400. 8,000 × 7.5 × 4/100 = 2,400.
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