MATHS — PRACTICE SET 13 — 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. All the even numbers up to 100 are multiplied together. The number of zeros at the end of product?

A) 10
B) 11
C) 12
D) 13

2. Find the sum of the series
1 + ⁴⁄₇ + ⁹⁄_7² + ¹⁶⁄_7³ + ………infinite

A) ⁴⁹⁄₂₇
B) ³⁶⁄₄₉
C) ⁴⁹⁄₃₆
D) ²⁷⁄₄₉

3. When a natural number divided by a certain divisor, we get 15 as remainder. But when 10 times of the same number is divided by the same divisor we get 6 as remainder. The maximum possible number of such divisors is?

A) 6
B) 7
C) 15
D) can’t be determined

4. If a, b are rational numbers and (a – 1)√2 + 3 = b√2 + a; then the value of a+b is

A) -3
B) 5
C) -5
D) 3

5. 1000⁹ ÷ 10²⁴ = ?

A) 900
B) 1000
C) 2000
D) 1500

6. The ratio of water and milk in a vessel is 1:2 and in other vessel is 3:4. 1-1 kg of mixture is drawn off from both vessels and poured into a third vessel. Then new ratio of water and milk?

A) 1 : 3
B) 8 : 13
C) 5 : 12
D) 2 : 5

7. A mixture of milk and water is such that the quantity of milk is 3/5 that of water. The proportion of milk in the mixture is?

A) 3 : 5
B) 5 : 3
C) 2 : 5
D) 3 : 8

8. If 1/5 of A = 0.25 of B = 30% of C, then A : B : C is equal to?

A) 12 : 15 : 10
B) 8 : 16 : 35
C) 15 : 12 : 10
D) 10 : 15 : 12

9. A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?

A) 30%
B) 125%
C) 25%
D) 20%

10. At a certain rate per annum, the simple interest on a sum of money for one year is Rs 260 and the compound interest on the same sum for 2 years is 540.80. Find the rate of interest.

A) 5%
B) 10%
C) 8%
D) 16%

11. A can complete a work in 12 days, B in 15 days find time taken by them if A leaves two days before the scheduled completion of the work.

A) 9 days
B) 55/6 days
C) 29/3 days
D) 10 days

12. A train leaves Meerut at 5 am and reaches Delhi at 9 am. An other train leaves Delhi at 7 am and reaches Meerut at 10.30 am. At what time will they meet?

A) 7.46 am
B) 7.56 am
C) 8 am
D) 8.26 am

13. A policeman on his jeep chases a thief on his bike. Jeep runs at a speed of 2160 m/5 sec and bike at 360 m/sec. If thief is initially 12 km ahead then how far policeman will travel to catch the thief?

A) 60 km
B) 65 km
C) 72 km
D) 50 km

14. If the diameter of a sphere is decreased by 25%, its curved surface area will decrease by?

A) 43.25%
B) 43.50%
C) 43.75%
D) 44.25%

15. How many tiles, each 40 dm², will be required to cover the floor of a room 8 m long and 6 m broad?

A) 200
B) 260
C) 280
D) 120

16. Medians of a triangle are 18 cm, 24 cm and 30 cm. Find its area.

A) 288 cm²
B) 480 cm²
C) 216 cm²
D) 360 cm²

17. In the given figure AD is the bisector of ∠A, find AC.

A) 5 cm
B) 5.5 cm
C) 4.5 cm
D) 5.25 cm

18. In ΔABC, ∠A=90, AD is perpendicular to BC whereas D lies on BC. If BC = 8, AC= 6, then area of ΔABC : area of ΔDAC ?

A) 16:9
B) 25:9
C) 4:3
D) 25:16

19. The distance between the centers of two equal circles each of radius 3 cm is 10 cm. The length of a transverse tangent is?

A) 4 cm
B) 5 cm
C) 6 cm
D) 8 cm

20. If (sin A)/x = (cos A)/y; then sin A – cos A is?

A) x – y
B) x + y
C) (x – y)/(x² + y²)^1/2
D) (y – x)/(x² + y²)^1/2

MATHS — PRACTICE SET 13 (IN PDF) — TEST WITH SOLUTION