CGL & CPO MATHS SOLVED PRACTICE SET 14

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. A three digit number which when subtracted from another three digits number consisting of the same three digits in reverse order gives 594. the minimum possible sum of all the three digits of this number?

A) 15
B) 9
C) 8
B) 6

2. In Rs 15 how many chocolates you can buy if rate of 1 chocolate is Re 1 and you can also buy 1 chocolate in exchange of 3 wrappers?

A) 15
B) 18
C) 17
D) 22

3. The greatest number by which the expression 7²ⁿ – 3²ⁿ  is always exactly divisible?

A) 4
B) 10
C) 20
D) 40

4. A common factor of (17⁹ + 13⁹) and (17⁵ + 13⁵) is?

A) 30
B) 17² + 13²
C) 17⁵ + 17⁵
D) 40

5. If x = √3/2; then the value of (1+x)/(1+√(1+x) + (1-x)/(1 – √(1-x) is equal to

A) √3/2
B) √3
C) 0
D) 1

6. If x = 1+√2 + √3; then find 2x⁴ – 8x³ – 5x² + 26x – 28

A) 6 √6
B) 3 √6
C) 2 √6
D) 0

7. If (x – 2a)(x – 5a)(x – 8a)(x – 11a) + ka⁴ is a perfect square; then the value of k is?

A) 81
B) 49
C) 64
D) 72

8. A watermelon is cut into two pieces in the ratio of 3 : 5 by weight. The bigger of the two is further cut in the ratio of 5 : 7 by weight. Find the ratio of each of the three pieces.

A) 15 : 25 : 26
B) 5 : 7 : 9
C) 2 : 5 : 7
D) 36 : 25 : 35

9. There is 2.5% annual increase in population of a city but cause of transfer there is annual decrease of population by 0.5%, then find the increase% of population in 2 yrs?

A) 4.4%
B) 4.04%
C) 4%
D) 4.2%

10. X has bought an item of goods at 20% discount. He sold it at 40% profit on the price he bought. Find his profit in respect to original price.

A) Rs 10
B) Rs 13
C) Rs 12
D) Rs 15

11. If a sum of Rs 12,000 is invested in two parts, the first part for 5 years @8% p.a. and the second one for 4 years @10% p.a. If SI of first part is three times of second part, find the difference in those parts.

A) 6000
B) 5000
C) 5500
D) 6500

12. A contractor undertakes to do a piece of work in 40 days. He engages 100 men and after 35 days, an additional 100 men when complete the work. How many days behind schedule would he have been, had he not engaged the additional men?

A) 5 days
B) 8 days
C) 12 days
D) 15 days

13. A speed train is travelling east at 200 km/hr. I am in the train walking west at 5 km/hr. What is my speed relative to the ground?

A) 205 km/h
B) 200 km/h
C) 195 km/h
D) 190 km/h

14. The diameter of the driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 km/h?

A) 250
B) 400
C) 300
D) 350

15. Two triangular plots each having two sides equal to 100 m. Find maximum perimeter difference of two if area is greater than 4800 for each.

A) 97 m
B) 79 m
C) 80 m
D) 90 m

16. A circle and square have the equal perimeter, then

A) area of circle is greater
B) area of square is greater
C) both have equal areas
D) cannot be compared

17. Internal bisectors of ∠B and ∠C of ΔABC intersect at O. If ∠BOC = 102, then the value of ∠BAC is ?

A) 24
B) 42
C) 55
D) 60

18. If the lengths of the side of a triangle are in ratio 4 : 5 : 6 and the in-radius of the triangle is 3 cm then the altitude of the triangle corresponding to the largest side is?

A) 10
B) 8
C) 7.5
D) 6

19. If O is the orthocenter of the ΔABC and ∠BAC = 80, then measure of ∠BOC is?

A) 120
B) 90
C) 80
D) 100

20. If ∠B of ΔABC is equal to 45°; find the value of (1+cot A)(1+cot C)

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

MATHS — PRACTICE SET 14 (IN PDF) — TEST WITH SOLUTION

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