Practice Sets - Maths

# MATHS — PRACTICE SET 23 — SOLVED

#### MATHS — PRACTICE SET 23 — SOLVED

These Practice Sets for Maths are specially designed keeping in view of the pattern that we see in the various competitive exams, especially the Combined Graduate Level Examination (CGLE), SI Delhi Police and CPO Exam, and Grade-II DAAS (except Geometry and Trigonometry)  of the Staff selection Commission (SSC) and the DSSSB. I hope they’ll help you immensely.

QUESTIONS: 20                                                                              MAXIMUM TIME: 20 minutes

1. In a post-office, stamps of only Rs 7, Rs 8 and Rs 10 are available. Which amount of the below you can’t purchase these ones with?

A) 19
B) 20
C) 23
D) 29

2. 2 + 22 + 23 + … + 28

A) 510
B) 1020
C) 1530
D) 400

3. Find the least possible 5 digit number which when divided by 2, 4, 6, 8 leaves remainders 1, 3, 5, 7 respectively.

A) 10009
B) 10011
C) 10007
D) 10013

4. If 3x – 2y = 11 and (x+y)² = 48+(x-y)², then 27x³ – 8y³ will be equal to?

A) 3700
B) 3300
C) 3707
D) 3777

5.

6. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10
B) 20
C) 21
D) 25

7. An organization distributes its profit between its officers and clerks in the ration of 5 : 3. It has 45 officers and 80 clerks. Every officer earns Rs 5,000. Find its total profit earned.

A) Rs 2,25,000
B) Rs 4,00,000
C) Rs 3,60,000
D) Rs 3,75,000

8. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs 760. A’s share in this profit is?

A) Rs 330
B) Rs 360
C) Rs 380
D) Rs 430

9. A customer asks for the production of x number of goods. The company produces y number of goods daily out of which z% goods are unfit for sale. In how many days order will be completed?

A) 200x[y(100 – z)]
B) 100x[y(200 – z)]
C) 100x[y(100 – z)]
D) 150x[y(150 – z)]

10. A vendor bought toffees at 5 for a rupee. How many for a rupee must he sell to gain 25%?

A) 3
B) 4
C) 5
D) 6

11. Simple interest on a certain sum of money at 4% per annum for 4 years is Rs 80 more than the interest on the same sum for 3 years at 5% per annum. Find the sum.

A) 10000
B) 12000
C) 8000
D) 10500

12. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

A) Rs 2160
B) Rs 3120
C) Rs 3972
D) Rs 6240

13. Tap A can fill a tank in 10 minutes and tap B can empty it in 12 minutes. If both the taps are opened alternatively in interval of 1 minute, how much time the tank will take to be filled completely.

A) 1 hour 49 minutes
B) 1 hour 35 minutes
C) 2 hours
D) 1 hour 48 minutes

14. A train got accidental after the journey of 50 km. Therefore its speed become 3/4th, so it took 35 more minutes to complete its destination. If accident was taken place before 24 km, then time taken to complete destination was 60 minutes more. What is the speed of the train?

A) 19.2 km/h
B) 19 km/h
C) 20 km/h
D) 20.6 km/h

15. Find the area of the figure formed by the graphs of the lines x = –2 and y = 3 of the x-axis and the y-axis.

A) 5.5 square units
B) 6 square units
C) 6.5 square units
D) 9 square units

16. A man takes 2 minutes to cross the diagonal of a square field at 3 km/h. Find the area of the field.

A) 4000 m²
B) 4500 m²
C) 5000 m²
D) 7000 m²

17. A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket.

A) 12 cm
B) 10 cm
C) 15 cm
D) 14 cm

18. ABC is a triangle with AC = BC and ∠ABC = 50°. Side BC is produced to D so that BC = CD. Find ∠BAD.

A) 50°
B) 45°
C) 75°
D) 90°

19. P is a point outside a circle and is 13 cm away from its center. A secant drawn from the point P intersects the circle at points A and B in such a way that PA = 9 cm and AB = 7 cm. The radius of the circle is?

A) 5 cm
B) 4 cm
C) 4.5 cm
D) 5.5 cm

20. An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60° and 45° respectively. Approximately, how many meters higher is the one than the other?

A) 381 m
B) 169 m
C) 254 m
D) 211 m

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