UIMO Sample Paper Class 8

CLASS - 08 UIMO

UIMO SAMPLE QUESTIONS
CLASS - 08
MATHEMATICS - 1

01. If p = − , what is the value of (1 – p)20 ?
(A) – p (B) –1024 (C) 1024 (D) 1 – p
02. A student has to secure 40% marks to pass a test. He got 30 marks and failed by 50 marks. What is the
maximum marks of the test ?
(A) 160 (B) 180 (C) 200 (D) 320
03. The product 864 × n is a perfect cube. What is the smallest possible value of ‘n’ ?
(A) 2 (B) –2 (C) 1 (D) –4
04. A man bought goods worth 6000 and sold half of them at a gain of 10%. At what gain percent must
he sell the remainder to get a gain of 25% on the whole ?
(A) 40% (B) 25% (C) 35% (D) 20%
05. How many different chords are determined by 8 distinct points lying on a circle ?
(A) 40 (B) 18 (C) 32 (D) 28

MATHEMATICS - 2

01. If P = 10,000 and R = 6% then
(A) I = 1,800 if T = 3 years. (B) I = 300 if T = 6 months.
(C) I = 2,400 if T =18 months. (D) I = 3000 if T = 5 years.
02. Which of the following equation does not satisfy (–1) ?
(A) 2x – 1 = –3 (B) 2x + 1 = –3 (C) 2x + 1 = 3 (D) 2x – 1 = 3
03. Which of the following one false for 9+ 4 ?

(A) 9+ 4 (B) 3 + 2 (C) 13 (D) 5
04. (a4 – 1) = _______
(A) (a2 + 1) (a2 – 1) (B) (a2 – 1) (a2 – 1)
(C) (a2 + 1) (a2 + 1) (D) (a2 + 1) (a + 1) (a – 1)
05. Which of the following is not true ?

(A) 50 = 5 × 2 (B) 60 = 4 × 15

(C) 243 = 9 × 3 (D) (75 − 10 ) = 5
2

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CLASS - 08 UIMO

REASONING

01. Identify the word based on the pattern in the given words.

AT, ATE, LATE, LATER, ?

(A) TAILOR (B) PLATER (C) LATERA (D) LATEDLY
02. If × stands for ‘addition’, ÷ stands for ‘subtraction’, + stands for ‘multiplication’ and – stands for
‘division’, then 20 × 8 ÷ 8 – 4 + 2 = ?
(A) 80 (B) 25 (C) 24 (D) 5
03. Which letter is fourth to the right of M in English alphabetical order ?
(A) Q (B) O (C) P (D) R
04. Which is different ?
(A) RQPO (B) VUTS (C) HNOP (D) HGFE
05. Which scrambled word is a synonym of the given group of words ?
One who eats too much
(A) IMINRACL (B) NOTTULG
(C) EUGSNI (D) RPCOTUR

CRITICAL THINKING

01. Pointing to a photograph. Balu said, “He is the son of the only daughter of the father of my brother”.
How Balu is related to the man in the photograph ?
(A) Nephew (B) Brother
(C) Father (D) Maternal uncle
02. Find the total number of occurrences of capital letter T in the figure.

(A) 5 (B) 6 (C) 7 (D) 8
03. Six girls are sitting in a circle facing to the centre of the circle. They are P, Q, R, S, T and V. T is not
between Q and S but some other one. P is next to the left of V. R is 4th to the right of P. What is the
position of T ?
(A) Just next to the right of Q (B) Second to the left of P
(C) Between Q and R (D) To the immediate right of V

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CLASS - 08 UIMO

04. Find the odd one out among the letters below.

(A) (B) (C) (D)

05. Choose the essential part of the word ‘LANGUAGE’.
(A) tongue (B) slang (C) writing (D) words

KEY & SOLUTION

MATHEMATICS - 1

01. (B) (1 – p)20 = [(1 – p)2]10
= (1 + p2 – 2p)10
= [1 + (–1) –2( −1 )]10
= [1 – 1 – 2( − )]10
= [–2( − )]10
= (–2)10 ( − )10
= 1024 × (–1)10/2
= (1024)(–1) = –1024
02. (C) Let total marks be ‘N’
Given 40% of N = (30 + 50)
"

× (N) = 80




N = 80 × = 200
"

03. (B) 864 × n = 12 × 12 × 6 × n
= 12 × 12 × (6 × –2) [ Given ‘n’ least then n = –2]
= –1728 = (–12)3
n = –2

(100 + 10 )
04. (A) Half of goods SP = 3000 × = 3300
100

⎛ 125 ⎞
25% gain of whole = 6000 ⎜ ⎟= 7500
⎝ 60 ⎠
Remaining sale amount = 7500 – 3300 = 4200
Profit = 4200 – 3000 = 1200

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CLASS - 08 UIMO

< 1200
Profit percentage or remaining amount = < 3000 × 100 = 40%

n(n − 1 )
05. (D) Number of chords =
2
8×7
= = 28
2

MATHEMATICS - 2

PTR 10000 × 6 × 3
01. (A,B,D) (A) If P = 10,000 R = 6% and T = 3 years then I = = = 1800
100 100

1
PTR 10000 × 6 × 2
(B) I= = = 300
100 100

3
PTR 10000 × 6 × 2
(C) I= = = 2700
100 100

264 

× $ × #
(D) 1= = = 3000




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02. (B,C,D) (A) 2x = –3 + 1 = –2 ⇒ x = − = −1
2
−"
(B) 2x = –3 – 1 ⇒ 2x = –4 ⇒ x = ⇒ x = –2

(C) 2x = 3 – 1 ⇒ x = =1

(D) 2x = 3 + 1 ⇒ 2x = 4 ⇒ x = 2

03. (A,B,D) (A) 9+4 ≠ 9 + 4

(B) 9+4 ≠ 9 + 4

∴ 9+4 ≠ 3+2

(C) 9 + 4 = 13

(D) '+" ≠ '+ "

≠ 3+2

9+4 ≠ 5

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CLASS - 08 UIMO

04. (A,D) (a4 – 1) = (a2)2 – 12
= (a2 – 1) (a2 + 1) = (a2 – 12) (a2 + 1)
= (a + 1)(a – 1)(a2 + 1)

05. (B,D) (A) 50 = 5 × 5 × 2 = 5 2 (B) 60 = 4 × 15 = 2 15

(C) 243 = 81 × 3 = 9 × 9 × 3 = 9 3 (D) (%# − 
) = %# − 

= − # ∉4
REASONING

AT
ATE
LATE
01. (B)
LATER
PLATER

02. (C) 20 + 8 – 8 ÷ 4 × 2
= 20 + 8 – 2 × 2
20 + 8 – 4 = 24

03. (A) M N O P Q R
 !"

4th letter to the right of M is ‘Q.
04. (C) HNOP is different
RQPO – OPQR
VUTS – STUV
HGFE – EFGH
05. (B) One who eats too much is GLUTTON

CRITICAL THINKING

01. (D) The man in the photo is the son of the sister of Balu. Hence, Balu is the maternal uncle of the man in the
photograph.
02. (C) There are 7 capital letters T in the figure.
5 6

4 8
03. (D)
3 2

04. (C)

05. (D) Words are necessary part of language. Slang is not necessary to language (choice b). Not all languages
are written (choice c). Not all languages are spoken (choice a).

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