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FCI Practice Set – Reasoning Ability | Set-2
Directions (1-5) : Following questions are based on the five three digit numbers given below
548 691 962 354 479
1. If the first and the third digits of each number are interchanged with each other, then what will be the difference between the highest and the lowest numbers?
A. 705
B. 778
C. 648
D. 5211
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Correct Answer – B. 778
Given Series:
548 691 962 354 479
After interchanging 1st and 3rd digits of each number, we get
845 196 269 453 974
Here, 974 is the highest number and 196 is the lowest number.
Hence, their difference will be (974 – 196 = 778)
Hence, 778 is the correct answer.
2. In which of the following numbers is the subtraction of first digit from the third digit is the second lowest?
A. 354
B. 479
C. 691
D. 962
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Correct Answer –C. 691
548 691 962 354 479
The subtraction of 1st digit from 3rd digit within each number is,
548 → (8 – 5 = 3)
691 → (1 – 6 = -5)
962 → (2 – 9 = -7)
354 → (4 – 3 = 1)
479 → (9 – 4 = 5)
Hence, the second lowest difference is -5 which is from the number 691.
Hence, 691 is the correct answer.
3. What will be the answer, if the third digit of the smallest number is multiplied with second digit of the largest number?
A. 20
B. 22
C. 24
D. 29
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Correct Answer – C. 24
Given Series:
548 691 962 354 479
Smallest number = 354
Third digit of 354 (smallest number) = 4
Largest number = 962
Second digit of 962 (Largest number) is = 6
On multiplying both digits, we get, 4 × 6 = 24
Hence, 24 is the correct answer.
4. Which of the following numbers is divisible by 3 if 5 is added to each of them? A. 548
B. 691
C. 962
D. 354
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Correct Answer – B. 691
548 691 962 354 479
If 5 is added to each of them: 553 696 967 359 484
553 ÷ 3 = 184.3
696 ÷ 3 = 232
967 ÷ 3 = 322.33
359 ÷ 3 = 119.66
484 ÷ 3 = 161.33
Hence, 691 is divisible by 3 when 5 is added to the number.
5. If the first and the second digits of each number are interchanged with each other, then what will be the second smallest number?
A. 354
B. 479
C. 962
D. 548
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Correct Answer – A. 354
Given number:
548 691 962 354 479
On interchanging the first and second digits of the numbers, we get
458 961 692 534 749
Hence, the second smallest is 534, which we get from 354.
Hence, 354 is the correct answer.
Directions (6-10) : Study the information given below and answer the questions that follow.
(i) There are 8 boxes namely orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
(ii) G is lighter than R but heavier than B.
(iii) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
(iv) Y is lighter than B and G is cheaper than I.
(iv) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
(v) R is cheaper than G but costlier than O.
(vi) B is costlier than I and G but not the costliest.
6. How many common boxes are heavier than P as well as costlier than R?
A. 5
B. 4
C. 3
D. 1
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Correct Answer – B. 4
8 boxes: orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
1) G is lighter than R but heavier than B
Weight → R > G > B;
2) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
Weight → R > G > B, Y > O > V;
Cost → V > I, G;
3) Y is lighter than B and G is cheaper than I.
Weight → R > G > B > Y > O > V;
Cost → V > I > G;
4) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
Weight → R > G > B > Y > O > V > I > P;
Cost → O > P > Y;
5) R is cheaper than G but costlier than O.
Cost → V > I > G > R > O > P > Y
6) B is costlier than I and G but not the costliest.
Cost → V > B > I > G > R > O > P > Y
7) Final arrangement:
Weight → R > G > B > Y > O > V > I > P;
Cost → V > B > I > G > R > O > P > Y;
Here, G, I, V and B are the boxes which are heavier than P as well as costlier than R.
Hence, 4 is the correct answer.
7. The costliest box in the lot of 8 boxes would be?
A. O
B. Y
C. V
D. B
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Correct Answer – C. V
8 boxes: orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
1) G is lighter than R but heavier than B
Weight → R > G > B;
2) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
Weight → R > G > B, Y > O > V;
Cost → V > I, G;
3) Y is lighter than B and G is cheaper than I.
Weight → R > G > B > Y > O > V;
Cost → V > I > G;
4) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
Weight → R > G > B > Y > O > V > I > P;
Cost → O > P > Y;
5) R is cheaper than G but costlier than O.
Cost → V > I > G > R > O > P > Y
6) B is costlier than I and G but not the costliest.
Cost → V > B > I > G > R > O > P > Y
7) Final arrangement:
Weight → R > G > B > Y > O > V > I > P;
Cost → V > B > I > G > R > O > P > Y;
Here, G, I, V and B are the boxes which are heavier than P as well as costlier than R.
Hence, ‘V’ is the costliest box in the given 8 boxes.
8. Which boxes are heavier than O?
A. B, V, G
B. B, Y, G, R
C. G, V, R, I
D. R, B, Y
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Correct Answer – B. B, Y, G, R
8 boxes: orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
1) G is lighter than R but heavier than B
Weight → R > G > B;
2) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
Weight → R > G > B, Y > O > V;
Cost → V > I, G;
3) Y is lighter than B and G is cheaper than I.
Weight → R > G > B > Y > O > V;
Cost → V > I > G;
4) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
Weight → R > G > B > Y > O > V > I > P;
Cost → O > P > Y;
5) R is cheaper than G but costlier than O.
Cost → V > I > G > R > O > P > Y
6) B is costlier than I and G but not the costliest.
Cost → V > B > I > G > R > O > P > Y
7) Final arrangement:
Weight → R > G > B > Y > O > V > I > P;
Cost → V > B > I > G > R > O > P > Y;
Hence, according to the given options, B, Y, G and R are heavier than O.
9. Which box is cheaper as well as heavier than G?
A. P
B. V
C. B
D. R
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Correct Answer –D. R
8 boxes: orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
1) G is lighter than R but heavier than B
Weight → R > G > B;
2) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
Weight → R > G > B, Y > O > V;
Cost → V > I, G;
3) Y is lighter than B and G is cheaper than I.
Weight → R > G > B > Y > O > V;
Cost → V > I > G;
4) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
Weight → R > G > B > Y > O > V > I > P;
Cost → O > P > Y;
5) R is cheaper than G but costlier than O.
Cost → V > I > G > R > O > P > Y
6) B is costlier than I and G but not the costliest.
Cost → V > B > I > G > R > O > P > Y
7) Final arrangement:
Weight → R > G > B > Y > O > V > I > P;
Cost → V > B > I > G > R > O > P > Y;
Hence, R is cheaper as well as heavier than G.
10. Which box is ranked third in the weights from the top?
A. Y
B. B
C. G
D. Cannot be determined
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Correct Answer – B. B
8 boxes: orange, brown, red, green, yellow, pink, indigo and violet which have been labelled as O, B, R, G, Y, P, I and V.
1) G is lighter than R but heavier than B
Weight → R > G > B;
2) B and Y are heavier than O which is heavier than V, where V is costlier than I and G.
Weight → R > G > B, Y > O > V;
Cost → V > I, G;
3) Y is lighter than B and G is cheaper than I.
Weight → R > G > B > Y > O > V;
Cost → V > I > G;
4) I is lighter than V but heavier than P, which is cheaper than O but costlier than Y.
Weight → R > G > B > Y > O > V > I > P;
Cost → O > P > Y;
5) R is cheaper than G but costlier than O.
Cost → V > I > G > R > O > P > Y
6) B is costlier than I and G but not the costliest.
Cost → V > B > I > G > R > O > P > Y
7) Final arrangement:
Weight → R > G > B > Y > O > V > I > P;
Cost → V > B > I > G > R > O > P > Y;
Hence, box ‘B’ is ranked third in the weights from the top.
