1. Convert the binary number 1001.0010 to decimal.
A. 125
B. 12.5
C. 90.125
D. 9.125
Answer: Option (D)
2. 8 - 4.2 ÷ 6 + 0.3 × 0.4
A. 8.52
B. 7.42
C. 6.52
D. 7.52
Answer: Option (B)
Explanation:
= 8 - 4.2 ÷ 6 + 0.3 × 0.4
= 8 - 0.7 + 0.3 × 0.4, (Simplifying ‘division’ 4.2 ÷ 6 = 0.7)
= 8 - 0.7 + 0.12, (Simplifying ‘multiplication’ 0.3 × 0.4 = 0.12)
= 7.3 + 0.12, (Simplifying ‘subtraction’ 8 - 0.7 = 7.3)
= 7.42, (Simplifying ‘addition’ 7.3 + 0.12 = 7.42)
= 7.42
3. 138.009 + 341.981 - 146.305 = 123.6 + ?
A. 120.o85
B. 199.57
C. 295.05
D. None of these
Answer: Option (D)
Explanation:
Let 138.009 + 341.981 - 146.305 = 123.6 + z
Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085.
4. The least number which when divided by 8, 12 and 16, leave in each remainder 3, is?
Answer: Option (D)
Explanation:
LCM = 48 + 3 = 51
5. A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally, he was paid only Rs. 1073. For how many days did he actually work?
Answer: Option (C)
Explanation:
HCF of 1189, 1073 = 29
1073/29 = 37
6. The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
A. 27 m
B. 24 m
C. 18 m
D. 21 m
E. None of these
Answer: Option (C)
Explanation:
Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 324/3 = 108 sq m
l b = 108 i.e., l * l/3 = 108
l[latex]^{2}[/latex] = 324 => l = 18.
7. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
Answer: Option (B)
Explanation:
The ratio of times taken by Sakshi and Tanya = 125: 100 = 5: 4.
Suppose Tanya takes x days to do the work.
5 : 4 :: 20 : x => x = [latex]\frac {4 \times 20}{5}[/latex]
x = 16 days.
Hence, Tanya takes 16 days to complete the work.
8. Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A. 10 sec
B. 11 sec
C. 12 sec
D. 14 sec
Answer: Option (C)
Explanation:
D = 250 m + 250 m = 500 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 500 * 3/125 = 12 sec.
9. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
A. Rs. 21,000
B. Rs. 22,500
C. Rs. 25,300
D. Rs. 25,800
Answer: Option (C)
Explanation:
85 : 18700 = 115 : x
x = [latex]\frac {18700 \times 115}{85}[/latex] = 25300.
Hence, S.P. = Rs. 25,300.
10. Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P?
A. 11/P + 6
B. P/11 +6
C. 17 - P/6
D. 17/P
Answer: Option (A)
Explanation:
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B