Basic Simplification Quiz Set 002

Question 1

A bag contains equal number of coins each of Rs. 1, 5 and 10. What is the total number of coins in the bag, if the total money is Rs. 368?

A

69.

B

23.

C

67.

D

73.

Soln.
Ans: a

Let there be N coins of each denomination. Then N × (1 + 5 + 10) = 368, which gives N = \$368/16\$, and 3N = 3 × \$368/16\$ = 69.

Question 2

The maximum value of the expression 31 - |x - 6| is?

A

31.

B

33.

C

29.

D

35.

Soln.
Ans: a

The maximum occurs when the value of |x - 6| is the lowest, which is 0, so the maximum value is 31.

Question 3

The maximum value of the expression 46 - |x - 9| is?

A

46.

B

48.

C

44.

D

50.

Soln.
Ans: a

The maximum occurs when the value of |x - 9| is the lowest, which is 0, so the maximum value is 46.

Question 4

A bag contains equal number of coins each of Rs. 1, 5 and 10. What is the total number of coins in the bag, if the total money is Rs. 496?

A

93.

B

31.

C

91.

D

97.

Soln.
Ans: a

Let there be N coins of each denomination. Then N × (1 + 5 + 10) = 496, which gives N = \$496/16\$, and 3N = 3 × \$496/16\$ = 93.

Question 5

A piece of length \$10{2/23}\$ is cut out of a pipe of length \$46{2/5}\$. What is the length of the remaining pipe?

A

\$36{36/115}\$.

B

\$37{73/114}\$.

C

\$34{83/117}\$.

D

\$38{25/39}\$.

Soln.
Ans: a

We have to find \$46{2/5}\$ - \$10{2/23}\$, which is same as \${232/5}\$ - \${232/23}\$ = 232 × \${23 - 5}/{23 × 5}\$ = \${4176/115}\$. So \${4176/115}\$, which is same as: \$36{36/115}\$ is the required answer. 