Page 23 - GMAT 2017b_Neatb

Quantitative Reasoning Test 1

12. The sum of three numbers is 98. If the ratio between 19. The average of 50 numbers is 38. If two numbers 45
first and second be 2 : 3 and that between second and and 55 are discarded, the average of the remaining set
third be 5 : 8, then the second number is of numbers is
(A) 30 (A) 38.5
(B) 20 (B) 37.5
( C) 58 ( C) 37.0
(D) 48 (D) 36.5

13. The average weigh of 8 sailors in a boat is increased by 20. The average speed of a train running at a speed of 30
1 kg if one of them weighing 56 kg is replaced by a new km/hr during the first 100 kilometres, at 40 km/h
sailor. The weight if the new sailor is during the second 100 kilometres and at 50 km/h
(A) 57 kg during the last 100 kilometres is nearly
(B) 60 kg (A) 38.5 km/h
( C) 64 kg (B) 38.3 km/h
(D) 62 kg ( C) 40.0 km/h
(D) 39.2 km/h
14. A number x equals 80% of the average of 5, 7, 14 and a
number of y. If the average of x and y is 26, the value of 21. The average of 6 observations is 12. A new seventh
y is observation is included and the new average is
(A) 13 decreased by 1. The seventh observation is
(B) 26 (A) 1
( C) 39 (B) 3
(D) None of these ( C) 5
(D) 6
15. The average age of A, B, C, D five years ago was 45
years. By including x, the present average age of all the 22. The average age of 20 boys in the class is 15.6 years.
five is 49 years. The present age of x is Five new boys join and the new average becomes
(A) 64 years 15.56 years. What was the average age of five new
(B) 49 years boys?
( C) 45 years (A) 15.5
(D) 40 years (B) 15.4
( C) 15.25
16. It rained as much on Wednesday as on all the others days (D) 15.3
of the week combined. If the average rainfall for the
whole week was 3cm, how much did it rain on 23. When x is added to each term of 7 : 13 the ratio
Wednesday? becomes 2 : 3. The value of x is
(A) 2.625 cm (A) 7
(B) 3 cm (B) 11
( C) 10.5 cm ( C) 5
(D) 15 cm (D) None of these
17. The average monthly expenditure of a family for the 24. Find the number which, when subtracted from the
first four months is N2,750, for the next three months is terms of the ratio 12 : 17 makes it equal to the ratio
N2,940 and for the last five months N3,130. If the 2 : 3.
family saves N5,330 during the whole year, find the (A) 2
average monthly income of the family during the year. (B) 6
(A) N3,800 ( C) 8
(B) N3,500 (D) None of these
( C) N3,400
(D) N4,200 25. The value of k that must be added to 7, 16, 43, 79 so
that they are in proportion is
18. The average age of a 8 men is increased by 2 years. (A) 7
When two of them, whose ages are 20 years and 24 (B) 5
years respectively, are replaced by two women. What is ( C) 9
the average age of these women? (D) None of these
(A) 36 years
(B) 30 years
( C) 40 years
(D) 42 years 13