Numerical Ability Practice Questions for IBPS RRB (Set – 6)

Mentor for Bank Exams
Numerical Ability Practice Questions for IBPS RRB (Set – 6)
1. 60 + 5 * 12 / (180/3) = ?
a) 60
b) 120
c) 13
d) 61
e) none of these
2. 9000 + 16 2/3 % of ? = 10500
a) 1500
b) 1750
c) 9000
d) 7500
e) none of these
3. 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
a) 150 1/3
b) 150 2/3
c) 149 2/3
d) 149 1/3
e) none of these
4. [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
a) 4
b) 6.0
c) 1.75
d) 4.5
e) none of these
5. 0.003 * ? * 0.0003 = 0.00000027
a) 9
b) 3
c) 0.3
d) 0.03
e) none of these
Directions (6 – 10): The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 to 1998-99. Answer the questions based on this graph. Foreign Exchange Reserves of A Country (in million US $)

6. The foreign exchange reserves in 1997-98 was how many times that in 1994-95?
a) 0.7
b) 1.2
c) 1.4
d) 1.5
e) 1.8
7. What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?
a) 100
b) 150
c) 200
d) 620
e) 2520
8. For which year, the percent increase of foreign exchange reserves over the previous year, in the highest?
a) 1992 – 93
b) 1993 – 94
c) 1994 – 95
d) 1996 – 97
e) 1997 – 98
9. The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review?
a) 95%
b) 110%
c) 115%
d) 125%
e) 140%
10. The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves, is :
a) 2 : 6
b) 3 : 4
c) 3 : 5
d) 4 : 4
e) 5 : 3
Solutions:
1. D) 60 + 5 * 12 / (180/3) = 60 + 5 * 12 / (60)
= 60 + (5 * 12)/60 = 60 + 1 = 61.
2. C) 9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500
50/(3 * 100) of ? = 1500 => ? = 1500 * 6
? = 9000
3. B) 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = 20/3 * 48/5 * 7/3 + 4/3
= 448/3 + 4/3 = 452/3 = 150 2/3
4. E) [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = (63 + 24 + 3)/(36 + 9) = 90/45 = 2
5. C) 0.003 * ? * 0.0003 = 0.00000027
3/1000 * ? * 3/10000 = 3/1000 * 3/1000 * 3/100
? = 3/10 = 0.3
6. D) Required ratio = 5040/3360 = 1.5
7. A) Foreign exchange reserves in 1997-98 = 5040 million US $
Foreign exchange reserves in 1993-94 = 2520 million US $
Increase = (5040 - 2520) = 2520 million US $ Percentage increase = (2520/2520 * 100)% = 100%
8. A) There is an increase in foreign exchange reserves during the years 1992-93, 1994-95, 1996-97 and 1997-98 as compared to previous year(as shown by bar graph).
The percentage increase in reserves during these years compared to previous year are:
For 1992-93 = [(3720 - 2640)/2640 * 100]% = 40.91%
For 1994-95 = [(3360 - 2520)/2520 * 100]% = 33.33%
For 1996-97 = [(4320 - 3120)/3120 * 100]% = 38.46%
For 1997-98 = [(5040 - 4320)/4320 * 100]% = 16.67%
Clearly, the percentage increases over previous year is highest for 1992-93.
9. D) Average foreign exchange reserves over the given period
= [1/8 * (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120)] million US $
= 3480 million US $.
Foreign exchange reserves in 1996-97 = 4320 million US $.
Required Percentage = (4320/3480 * 100)% = 124.14% ≈ 125%
10. C) Average foreign exchange reserves over the given period = 3480 million US $.
The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98 i.e., for 3 years and below 3480 million US $ during the years 1991-92, 1993-94, 1994-95, 1995-96 and 1998-99 i.e., for 5 years
Hence, required ratio = 3:5.