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- 1. Find the value of 1/(3+1/(3+1/(3-1/3)))

A.) 3/10

B.) 10/3

C.) 27/89

D.) 89/27

Answer: Option 'C'

1/[3 + (1/(3+1/(3 - 1/3)))]

=> 1/[3 + 1/(3 + 1/(8/3))]

=> 1/[3 + 1/(3 + 3/8)]

=> 1/[3 + 8/27]

=> 1/(89/27)

=> 27/89

- 2. Find the value of

A.) 3½ 99;

B.) 34/99

C.) 2.131313

D.) 3.141414

Answer: Option 'D'

6/9 + 7/9 + 9/9 + 69/99

2/3 + 7/9 + 1 + 69/99

(66 + 77 + 99 + 69)/99

311/99 => 3.141414

- 3. Find the value of

((0.1)^{3}+ (0.6)^{3}+ (0.7)^{3}− (0.3)(0.6)(0.7))/((0.1)^{2}+ (0.6)^{2}+ (0.7)^{2}− 0.006 − 0.42 − 0.07)

A.) 14/10

B.) 1.35

C.) 13/10

D.) 0

Answer: Option 'A'

((0.1)^{3} + (0.6)^{3} + (0.7)^{3} − (0.3)(0.6)(0.7))/((0.1)^{2} + (0.6)^{2} + (0.7)^{2} − 0.006 − 0.42 − 0.07)

=> (0.1 + 0.6 + 0.7)^{3}/(0.1 + 0.6 + 0.7)^{2}

=> 0.1 + 0.6 + 0.7 => 1.4 = 14/10

- 4. Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04)

A.) 0.56

B.) 0.65

C.) 0.54

D.) 0.45

Answer: Option 'A'

0.56

- 5. Find the value of × in the following

(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)

A.) 4

B.) 3

C.) 3.6

D.) 3.06

Answer: Option 'C'

3.6

- 6. Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)

A.) 1/50

B.) 1/25

C.) 1/20

D.) 1/40

Answer: Option 'C'

(2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)

5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20

- 7. Find the value of (875 233/899) × 899

A.) 786588

B.) 786858

C.) 786885

D.) 786885

Answer: Option 'B'

(875 233/899) × 899

(786625 + 233)/899 × 899

786858/899 × 899

786858

- 8. Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is

A.) 121

B.) 11

C.) 10.6

D.) 7.82

Answer: Option 'B'

3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)]

3/11 × [4/3 + 5/4 × ........ 121/120]

3/11 × 4/3 × 5/4 × .... 121/120

121/11 = 11.

- 9. If 1
^{3}+ 2^{3}+ 3^{3}+......+ 10^{3}= 516 then the value of 2^{3}+ 4^{3}+ 6^{3}+ ..... + 20^{3}is

A.) 1013

B.) 1032

C.) 516

D.) 900

Answer: Option 'B'

2(1^{3} + 2^{3} + 3^{3} + ---------- + 10^{3})

2 × 516 = 1032

- 10. If 1
^{3}+ 2^{3}+ ..... + 9^{3}= 1025 then the value of (0.07)^{3}+ (0.14)^{3}+ (0.21)^{3}+ ..... +(0.63)^{3}Is close to

A.) 0.351575

B.) 0.251575

C.) 2.515575

D.) 3.51575

Answer: Option 'A'

0.351575

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